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Robert Rosen On the dynamical realization of $ (M, R) $-systems . . . . . . . . . . . . . . . 1--9 Michael A. Fox Some thoughts on the requirements for a theory of biology . . . . . . . . . . . 11--17 M. Valentinuzzi, M.D., M.Sc. and M. E. Valentinuzzi, E.E., Ph.D. Newman's chamber models in the study of blood circulation through the liver and heart . . . . . . . . . . . . . . . . . 19--29 Freeman W. Cope Piezoelectricity and pyroelectricity as a basis for force and temperature detection by nerve receptors . . . . . . 31--41 Michael A. B. Deakin On the status of mean fitness maximization as a governing principle in evolution . . . . . . . . . . . . . . . 43--50 Vojtech Li\vcko Threshold secretory mechanism: a model of derivative element in biological control . . . . . . . . . . . . . . . . 51--58 John Z. Hearon Distribution of conserved species in diffusion-reaction systems . . . . . . . 59--67 Peter B. Bright The volumes of some compartment systems with sampling and loss from one compartment . . . . . . . . . . . . . . 69--79 Clifford S. Patlak An approximation diffusion equation for a long narrow channel with varying cross-sectional area . . . . . . . . . . 81--86 Hugo M. Martinez and Robert M. Baer The algorithmic nature of a reaction--diffusion development process 87--94 I. W. Richardson Bi-ionic flows through a single homogeneous membrane . . . . . . . . . . 95--100 Franklin F. Offner The excitable membrane-biophysical theory and experiment . . . . . . . . . 101--107 John M. Reiner Molecular biology and the kinetics of cell growth. II. A note on mass--volume relations . . . . . . . . . . . . . . . 109--113 H. D. Landahl On the mechanism of transport of proline in the ciliary body, optic nerve and choroid plexus . . . . . . . . . . . . . 115--127 S. R. Bernard Estimates of microcurie-days residence, bone dose equivalent, and (MPC)$_W$ for thorium-232 in man using a mammillary model . . . . . . . . . . . . . . . . . 129--147 George Karreman Towards a physical understanding of physiological excitation as a cooperative specific adsorption phenomenon . . . . . . . . . . . . . . . 149--171 Anthony F. Bartholomay Mathematical medicine, an introductory discussion of its meaning and significance in medicine and medical education . . . . . . . . . . . . . . . 173--182 John L. Stephenson Transient behavior of the single loop solute cycling countercurrent multiplier 183--194 H. R. van der Vaart A comparative investigation of certain difference equations and related differential equations: Implications for model-building . . . . . . . . . . . . . 195--211 I. B\uaianu Some algebraic properties of $ (M, R) $-systems . . . . . . . . . . . . . . . 213--217 David Sugerman and Hiram E. Hart Thermal dissociation of antigen--antibody--antigen-like systems 219--235 J. G. Defares and M. E. Wise Theory of the measurement of arterial compliance in humans . . . . . . . . . . 237--244 Aldo Rescigno and Lester Michels Compartment modeling from tracer experiments . . . . . . . . . . . . . . 245--257 Thomas A. Easton, Ph.D. A note on the mathematics of microsphere division . . . . . . . . . . . . . . . . 259--262 A. K. Thakur and A. Rescigno and D. E. Schafer On the stochastic theory of compartments: II. Multi-compartment systems . . . . . . . . . . . . . . . . 263--271 Anonymous Announcement . . . . . . . . . . . . . . 273--273 Anonymous Aims and Goals of the \booktitleSociety 274--274 Anonymous Aims and Goals of the \booktitleSociety 274--274
P. J. Palatt and G. M. Saidel An analysis of countercurrent exchange with emphasis on renal function . . . . 275--286 Akira Kamiya, M.D. and Tatsuo Togawa, Ph.D. Mathematical analysis of circulatory mixing process . . . . . . . . . . . . . 287--300 Tai Te Wu The structure of DNA as deduced from fiber X-ray crystallography . . . . . . 301--311 M. E. S. Philippe Smets, M.D. A note on knowledge and unpleasantness 313--317 C. Hyver Réactions chimiques couplées considerées en tant que filtres passe-bande. (French) [Coupled chemical reactions considered as bandpass filters] . . . . . . . . . . 319--337 N. Rashevsky Organismic sets. Scientific creativity, its spread and applications . . . . . . 339--344 Burkhart Fischer A neuron field theory: Mathematical approaches to the problem of large numbers of interacting nerve cells . . . 345--357 Ling Y. Wei Quantum theory of time-varying stimulation in nerve . . . . . . . . . . 359--374 Alan Y. K. Wong, Ph.D. Some proposals in cardiac muscle mechanics and energetics . . . . . . . . 375--399 Robert Plonsey, Ph.D. The effect of the torso boundary in electrocardiography . . . . . . . . . . 401--405 Stewart McGavin An attitude to nucleic acid models . . . 407--409 H. R. Wilson Nucleic acid structure . . . . . . . . . 411--413 Michael A. B. Deakin On Gompertz curves . . . . . . . . . . . 415--415 M. H. Sherebrin Reorientation of membrane dipoles during nerve excitation . . . . . . . . . . . . 417--418 Anonymous Announcement . . . . . . . . . . . . . . 419--419 Anonymous Announcement . . . . . . . . . . . . . . 419--419
N. Rashevsky The diffusion and metabolic differences between soma and axon of a neuron . . . 421--429 Paul J. Palatt and Gerald M. Saidel Countercurrent exchange in the inner renal medulla: Vasa recta-descending limb system . . . . . . . . . . . . . . 431--447 A. Bezerra Coutinho and F. A. Bezerra Coutinho Snail population in running water . . . 449--458 C. Hyver Filtres passe-bande chimiques et oscillations non periodiques. (French) [Chemical bandpass filters and non-periodic oscillations] . . . . . . . 459--466 Pierre Delsemme and H. Westcott Vayo Forced vibrations of a circular muscle ring . . . . . . . . . . . . . . . . . . 467--474 Ion Bâianu and Drago\cs Scripcariu On adjoint dynamical systems . . . . . . 475--486 G. P. Henderson and V. B. Cervin Statistical theory of persuasion in tripartite negotiations . . . . . . . . 487--494 I. Mirsky Pulse velocities in cylindrical, tapered and curved anisotropic elastic arteries 495--511 John Blake Flow in tubules due to ciliary activity 513--523 Ludwig Nastansky and Stanley M. Selkow and Neil F. Stewart The enumeration of minimal phylograms 525--533 Anthony F. Bartholomay Some mathematical aspects of the diagnostic process. II: a mathematical model of electrocardiographic diagnosis 535--547
Dhanjoo N. Ghista and Sung-Cheng Huang and Meyer Resnikoff A method for simultaneous determination of (I) the blood flows to the organs and (II) the cardiac output . . . . . . . . 549--563 D. G. Moisescu Interfilament forces in striated muscle 565--575 Ahferom Tesfagaber and Marshall M. Lih Particle distribution for dilute suspension in flow . . . . . . . . . . . 577--589 Ronald J. Spiegel and William T. Joines A semiclassical theory for nerve excitation by a low intensity electromagnetic field . . . . . . . . . 591--605 Herbert W. Hethcote Asymptotic behavior in a deterministic epidemic model . . . . . . . . . . . . . 607--614 Jerome A. Kharasch A morphogenetic system matched to a group . . . . . . . . . . . . . . . . . 615--625 Freeman W. Cope Electron-phonon (trapped photon) coupling and infrared coaxial transmission line theory of energy transport in mitochondria and nerve . . 627--644 Paul Cull and Andrew Vogt Mathematical analysis of the asymptotic behavior of the Leslie population matrix model . . . . . . . . . . . . . . . . . 645--661 Michael W. Ovenden and Archie E. Roy Disseminated storage of information with sequential coding . . . . . . . . . . . 663--688 Jane Cronin The Danziger--Elmergreen theory of periodic catatonic schizophrenia . . . . 689--707 N. Rashevsky The epileptic neuron: I . . . . . . . . 709--714
N. Rashevsky The epileptic neuron: II . . . . . . . . 1--16 Silverio P. Almeida and James D. Bond and Thomas C. Ward Electrically induced phase transitions via the dipole model in excitable membranes . . . . . . . . . . . . . . . 17--28 F. A. B. Coutinho and A. B. Coutinho Dynamics of populations of \bionameBiomphalaria glabrata and the Von Forerster equation . . . . . . . . . 29--37 B. E. Morgan and D. F. Young An intergral method for the analysis of flow in arterial stenoses . . . . . . . 39--53 J. G. Lenard A note on the shape of the erythrocyte 55--58 Oscar A. Gómez-Poviña and Carmen Sainz de Calatroni and Susana Orden de Puhl and Mariano J. Guerrero Continuous determination of the volume of a space in a non steady state condition . . . . . . . . . . . . . . . 59--66 Hedley C. Morris The Kerner linearization method . . . . 67--76 F. v. Palmay and E. J. Davison and J. Duffin The simulation of multi-neurone networks: Modelling of the lateral inhibition of the eye and the generation of respiratory rhythm . . . . . . . . . 77--89 John V. Huddleston and Charles G. DeWald and Hanasoge N. Jagadeesh A dynamic model of an environmental system with $n$ interacting components and $p$ degrees of freedom . . . . . . . 91--96 John Z. Hearon A note on open linear systems . . . . . 97--99 I. W. Richardson Introduction to Mathematics for Life Scientists . . . . . . . . . . . . . . . 101--102 I. Mirsky Pulse velocities in cylindrical, tapered and curved anisotropic elastic arteries 103--103
Hsu-Chi Yeh Use of a heat transfer analogy for a mathematical model of respiratory tract deposition . . . . . . . . . . . . . . . 105--116 George Karreman and Lee Levitt Isotherms for $r$ species adsorbed at linear polymers with nearest neighbor cooperative interaction . . . . . . . . 117--126 T. K. Mittra and S. N. Prasad Interaction of peristaltic motion with Poiseuille flow . . . . . . . . . . . . 127--141 J. J. Fredberg Pseudo-sound generation at atherosclerotic constrictions in arteries . . . . . . . . . . . . . . . . 143--155 Barry Bunow Enzyme kinetics in cells . . . . . . . . 157--169 S. Kauffman Measuring a mitotic oscillator: The ARC discontinuity . . . . . . . . . . . . . 171--182 Hugo M. Martinez and Gunnar Carlsson Genetic nets and dissipative structures: an algebraic approach . . . . . . . . . 183--196 Howard D. Thames, Jr. Stability and enzyme separation: Integral representation of the solutions 197--203 Jack S. Turner Finite fluctuations and multiple steady states far from equilibrium . . . . . . 205--213 Charles Walter The global asymptotic stability of prey--predator systems with second-order dissipation . . . . . . . . . . . . . . 215--217
John P. Mullooly Stochastic kinetic models for small irreversible systems . . . . . . . . . . 219--227 Ling Y. Wei and B. Y. Woo Semiconductor theory of ion transport in thin lipid membranes: I. Potential and field distributions . . . . . . . . . . 229--246 B. Y. Woo and Ling Y. Wei Semiconductor theory of ion transport in thin lipid membranes: II. Surface recombination . . . . . . . . . . . . . 247--264 Elinor Miller Levy Flagellar elongation as a moving boundary problem . . . . . . . . . . . . 265--273 M. R. Davidson and J. M. Fitz-Gerald Transport of O$_2$ along a model pathway through the respiratory region of the lung . . . . . . . . . . . . . . . . . . 275--303 Peter Purdue Stochastic theory of compartments . . . 305--309 Akira Kamiya and Tatsuo Togawa and Atsuko Yamamoto Theoretical relationship between the optimal models of the vascular tree . . 311--323 Edgar M. Palmer and Robert W. Robinson On the number of phenotype structures in genetic systems . . . . . . . . . . . . 325--338 K. N. Leibovic Information Processing in the Visual Systems of Arthropods . . . . . . . . . 339--340
John V. Huddleston Optimality in the control of environmental systems . . . . . . . . . 341--345 Jagannathan Gomatam A new model for interacting populations --- I: Two-species systems . . . . . . . 347--353 Jagannathan Gomatam A new model for interacting populations --- II: Principle of competitive exclusion . . . . . . . . . . . . . . . 355--364 L. I. Rubinstein Passive transfer of low-molecular nonelectrolytes across deformable semipermeable membranes --- I: Equations of convective-diffusion transfer of nonelectrolytes across deformable membranes of large curvature . . . . . . 365--377 H. M. Geiman and L. I. Rubinstein Passive transfer of low-molecular nonelectrolytes across deformable semi-permeable membranes --- II: Dynamics of a single muscle fiber swelling and shrinking and related changes of the $T$-system tubule form 379--401 H. G. Klinger Heat transfer in perfused biological tissue --- I: General theory . . . . . . 403--415 C. Biémont and A. R. Bouffette and J. Bouffette Théorie chromosimique de l'inbreeding: Mod\`ele probabiliste. (French) [Chromosimal theory of inbreeding: Probabilistic model] . . . . . . . . . . 417--434 W. J. Shack and T. J. Lardner A long wavelength solution for a microorganism swimming in a channel . . 435--444 J. H. Matis and M. Cardenas and R. L. Kodell On the probability of reaching a threshold in a stochastic mammillary system . . . . . . . . . . . . . . . . . 445--454 Leslie E. Blumenson Mathematical models of conception and birth . . . . . . . . . . . . . . . . . 455--456
E. A. Marshall and E. A. Trowbridge Flow of a Newtonian fluid through a permeable tube: The application to the proximal renal tubule . . . . . . . . . 457--476 Edward H. Kerner Why are there so many species? . . . . . 477--488 M. Cardenas and J. H. Matis On the stochastic theory of compartments: Solution for $n$-compartment systems with irreversible, time-dependent transition probabilities . . . . . . . . . . . . . 489--504 T. R. Hennessy The interaction of diffusion and perfusion in homogeneous tissue . . . . 505--526 David H. Staley and William R. Holt and William N. Cannon, Jr. Necessary and sufficient condition for a model insect population to go to extinction . . . . . . . . . . . . . . . 527--533 F. Ventriglia Kinetic approach to neural systems: I 535--544 Ralph L. Levine and John E. Hunter and Peter L. Borchelt Dustbathing as a regulatory mechanism 545--553 W. J. Shack and C. S. Fray and T. J. Lardner Observations on the hydrodynamics and swimming motions of mammalian spermatozoa . . . . . . . . . . . . . . 555--565 Sòren Lòvtrup and Björn von Sydow D'Arcy Thompson's theorems and the shape of the molluscan shell . . . . . . . . . 567--575 Peter Purdue Stochastic theory of compartments: One and two compartment systems . . . . . . 577--587 Gerald Rosen Bounds on the total particle number for species governed by reaction--diffusion equations in the infinite spatial domain 589--593 John M. Reiner Molecular control systems: I --- Temporal organization in cells revisited 595--599 H. D. Landahl Note on oscillations of turbidity in a precipitation reaction system of thyroxine . . . . . . . . . . . . . . . 601--604 David Haberman On knowledge and unpleasantness . . . . 605--605 Per-Erik E. Bergner Stochastic processes and applications in biology and medicine. Part 1 --- Theory. Part 2 --- Models . . . . . . . . . . . 607--610 Michael A. B. Deakin Stabilité structurelle et morphogén\`ese. (French) [Structural stability and morphogenesis] . . . . . . . . . . . . . 611--613 Anatol Rapoport Matematicheskie problemy v biologii. (Russian) [Mathematical problems of biology] . . . . . . . . . . . . . . . . 615--616 Anonymous The University of Texas Health Science Center at Houston, Division of Continuing Education and The Region V of IEEE announces Eleventh Symposium on Biomathematics and Computer Science in the Life Sciences . . . . . . . . . . . 617--617
C. Hyver Existence de résonances paramétriques dans des syst\`emes de transformation d'intérêt biologique. (French) [Existence of parametric resonances in transformation systems of biological interest] . . . . 1--9 H. D. Landahl and B. D. Hansen A three stage population model with cannibalism . . . . . . . . . . . . . . 11--17 B. Min and W. Welkowitz and S. Fich and D. Jaron and A. Kantrowitz Dynamic optimization of in-series cardiac assistance by means of intra-aortic balloon pumping . . . . . . 19--35 A. R. Bouffette and C. Biémont and J. Bouffette Comparaison des croisements au hasard, pr\`ere-s\oeur et demi fr\`ere-s\oeur par le coefficient de dépression. (French) [Comparison of random crossings, sister-in-law and half sibling-sister by the coefficient of depression] . . . . . . . . . . . . . . 37--49 Aurel I. Popescu and Alexandra A. Popescu A model of a physico--chemical coupling of biological interest . . . . . . . . . 51--57 Robert M. Baer Self-assembly and differentiation as models of computability . . . . . . . . 59--69 Gerald Rosen and Richard G. Fizell Bounds on the total population for species governed by reaction--diffusion equations in arbitrary two-dimensional regions . . . . . . . . . . . . . . . . 71--78 Freeman W. Cope Kinetics of light emission by photosynthetic systems: Second order light decay kinetics means Elovich kinetics in a solid state reaction; 1.5 order light decay kinetics means second order reaction kinetics . . . . . . . . 79--83 Irving Fatt Flow and diffusion in the vitreous body of the eye . . . . . . . . . . . . . . . 85--90 Michael A. B. Deakin A standard form for the Kermack--McKendrick epidemic equations 91--95 W. Chiou Treatment of singularity for spatial transfer properties of human visual system at threshold . . . . . . . . . . 97--100 J. J. Blum and Otto E. Rössler and Robert Rosen Book Reviews . . . . . . . . . . . . . . 101--107 Anonymous Conference on Formal Languages, Automata and Development . . . . . . . . . . . . 109--109 J. J. Fredberg Pseuod-sound generation at atherosclerotic constrictions in arteries . . . . . . . . . . . . . . . . 111--111
George Karreman Anthony Francis Bartholomay . . . . . . i--ii M. R. Davidson Lung gas mixing during expiration following an inspiration of air . . . . 113--126 John P. Mullooly Stochastic kinetic models for small reversible systes; The equilibrium distribution . . . . . . . . . . . . . . 127--138 Ranabir Dutt and P. K. Ghosh and B. B. Karmakar Application of perturbation theory to the nonlinear Volterra--Gause--Witt model for prey--predator interaction . . 139--146 Shui-Nan Chuang and Harris H. Lloyd Mathematical analysis of cancer chemotherapy . . . . . . . . . . . . . . 147--160 Michael R. Clark and V. V. Krishnan and Lawrence Stark Inners and biocontrol models . . . . . . 161--180 Otto E. Rössler A multivibrating switching network in homogeneous kinetics . . . . . . . . . . 181--192 Peter H. Richter Stochastic theory of a selection game 193--213 Robert Rosen Organismic sets: Some reflections on the nature of life and society . . . . . . . 215--218 Anonymous The Society for Mathematical Biology announces Central Regional Meeting . . . 219--219 Anonymous Employment page . . . . . . . . . . . . 220--220 M. A. B. Deakin Errata . . . . . . . . . . . . . . . . . 221--221
J. Philip Ryan Aspects of the Clausius--Shannon Identity: Emphasis on the components of transitive information in linear, branched and composite physical systems 223--254 John M. Reiner Theory of RNA--DNA hybridization --- I. Stoichiometry at equilibrium . . . . . . 255--268 Peter Purdue Stochastic theory of compartments: an open, two compartment, reversible system with independent Poisson arrivals . . . 269--275 Gerald Rosen Solutions to systems of nonlinear reaction--diffusion equations . . . . . 277--289 Donald L. De Angelis Estimates of predator--prey limit cycles 291--299 F. R. L. Cantraine and B. Dewandre Kinetics of the thyroid follicle lumen diffusion subsystem: Application to iodide accumulation by the thyroid follicle in vitro . . . . . . . . . . . 301--321
J. F. G. Auchmuty and G. Nicolis Bifurcation analysis of nonlinear reaction--diffusion equations --- I. Evolution equations and the steady state solutions . . . . . . . . . . . . . . . 323--365 A. Oaten and C. E. M. Pearce and M. E. B. Smyth Batesian mimicry and signal detection theory . . . . . . . . . . . . . . . . . 367--387 P. M. Allen Darwinian evolution and a predator--prey ecology . . . . . . . . . . . . . . . . 389--405 Theodosios Pavlidis Biological clock mutants and parameter changes in mathematical models . . . . . 407--417 Sorin Comorosan On a possible biological spectroscopy 419--425
E. J. Davison Simulation of cell behavior: Normal and abnormal growth . . . . . . . . . . . . 427--458 R. N. Das and V. Seshadri A semi-empirical model for flow of blood and other particulate suspensions through narrow tubes . . . . . . . . . . 459--470 Joseph C. F. Chow Blood flow: Theory, effective viscosity and effects of particle distribution . . 471--488 Julius Melbin and R. Gopalakrishnan and Abraham Noordergraaf Three dimensional laminar flow in distorting, axisymmetric, axially varying vessels . . . . . . . . . . . . 489--504 M. Cardenas and J. H. Matis On the time-dependent reversible stochastic compartmental model --- I. The general two-compartment system . . . 505--519 Mothiram K. Patil and Dhanjoo N. Ghista Construction, simulation, clinical application and sensitivity analyses of a human left ventricular control system model . . . . . . . . . . . . . . . . . 521--553
M. Cardenas and J. H. Matis On the time-dependent reversible stochastic compartmental model --- II. A class of $n$-compartment systems . . . . 555--564 Carlos A. Leguizamón Concept of energy in biological systems 565--572 W. Perl and N. A. Lassen and R. M. Effros Matrix proof of flow, volume and mean transit time theorems for regional and compartmental systems . . . . . . . . . 573--588 M. Herschkowitz-Kaufman Bifurcation analysis of nonlinear reaction--diffusion equations --- II. Steady state solutions and comparison with numerical simulations . . . . . . . 589--636 A. Babloyantz and J. Hiernaux Models for cell differentiation and generation of polarity in diffusion-governed morphogenetic fields 637--657 G. W. Swan Some strategies for harvesting a single species . . . . . . . . . . . . . . . . 659--673 Carlos A. Leguizamón A theory for environmental systems . . . 675--689
G. W. Swan Solution of linear one-dimensional diffusion equations . . . . . . . . . . 1--13 B. L. Jones and R. H. Enns and S. S. Rangnekar On the theory of selection of coupled macromolecular systems . . . . . . . . . 15--28 J. P. Biscar Photon enzyme activation . . . . . . . . 29--38 Michael R. Clark and Lawrence Stark Sensitivity of control parameters in a model of saccadic eye tracking and estimation of resultant nervous activity 39--57 Chyuan-Yih Lee and Chun Chiang Nerve excitations by the coupling of the dipoles and the membrane matrix . . . . 59--70 H. N. Mayrovitz and M. P. Wiedeman and A. Noordergraaf Analytical characterization of microvascular resistance distribution 71--82 N. Anderson and A. M. Arthurs Extremum principles and the elastic and fluid mechanical behaviour of the human eye . . . . . . . . . . . . . . . . . . 83--86 Robert Rosen Hysteresis in systems with a single steady state . . . . . . . . . . . . . . 87--92 J. P. Biscar A possible explanation of the Comorosan effects . . . . . . . . . . . . . . . . 93--94 Gerald Rosen The mathematical theory of diffusion and reaction in permeable catalysts . . . . 95--96
P. Yodzis The effects of harvesting on competitive systems . . . . . . . . . . . . . . . . 97--109 Freeman W. Cope Derivation of the Weber--Fechner law and the Loewenstein equation as the steady-state response of an Elovich solid state biological system . . . . . 111--118 D. Bonchev and D. Kamenski and V. Kamenska Symmetry and information content of chemical structures . . . . . . . . . . 119--133 C. K. Kang and A. C. Eringen The effect of microstructure on the rheological properties of blood . . . . 135--159 Eduardo Mon and James S. Ultman Monte Carlo simulation of simultaneous gas flow and diffusion in an asymmetric distal pulmonary airway model . . . . . 161--192 Gerald Rosen Construction of analytically solvable models for interacting species . . . . . 193--197 John Z. Hearon Properties of the Leslie population matrix . . . . . . . . . . . . . . . . . 199--203 G. W. Swan Reduction of model for the spread of cancer in the uterus; arbitrary specific growth rate . . . . . . . . . . . . . . 205--207 Hugo M. Martinez and Harold J. Morowitz and Leslie E. Blumenson Book review . . . . . . . . . . . . . . 209--217
William H. Warner and Theodore A. Wilson Distribution of end-points of a branching network with decaying branch length . . . . . . . . . . . . . . . . . 219--237 I. Mirsky and R. F. Janz and B. R. Kubert and B. Korecky and G. C. Taichman Passive elastic wall stiffness of the left ventricle: A comparison between linear theory and large deformation theory . . . . . . . . . . . . . . . . . 239--251 Burkhart Fischer and Jürgen Krüger Mathematical principles in afferent visual neurons: Differentiation, integration and transient proportionality related to receptive fields and shift-effect . . . . . . . . 253--267 S. H. Lin Oxygen tension in the in vivo cornea . . 269--275 C. Hodson and L. Y. Wei Comparative evaluation of quantum theory of nerve excitation . . . . . . . . . . 277--293 Derek F. Stubbs and Phillip I. Good Connectivity in random networks . . . . 295--304 Keith Horsfield Some mathematical properties of branching trees with application to the respiratory system . . . . . . . . . . . 305--315 Paul Cull and Andrew Vogt The period of total population . . . . . 317--319 Sòren Lòvtrup and Björn von Sydow An addendum to ``D'Arcy Thompson's theorems and the shape of the molluscan shell'' . . . . . . . . . . . . . . . . 321--322 E. A. Thompson The genetic structure of populations, biomathematics . . . . . . . . . . . . . 323--324
J. F. G. Auchmuty and G. Nicolis Bifurcation analysis of reaction--diffusion equations --- III. Chemical oscillations . . . . . . . . . 325--350 Yöji Aizawa and Yonosuke Kobatake A theory of oscillatory instability in two-state systems in relation to nerve excitation . . . . . . . . . . . . . . . 351--358 L. E. Bobisud Cannibalism as an evolutionary strategy 359--368 A. Shitzer and M. K. Kleiner Thermal behavior of biological tissues --- A general analysis . . . . . . . . . 369--386 T. W. Melnyk and I. W. Richardson and A. A. Simpson and William R. Smith Hypothalamic regulation of pituitary secretion of luteinizing hormone . . . . 387--400 R. F. Janz and R. J. Waldron Some implications of a constant fiber stress hypothesis in the diastolic left ventricle . . . . . . . . . . . . . . . 401--413 Tron F. Thingstad On the connection between bacterial growth and division . . . . . . . . . . 415--423 Arthur R. Copeland Axonal transport --- I. Diffusion . . . 425--433 Arthur R. Copeland Axonal transport --- II. Convection . . 435--444 John V. Huddleston The fitting of dynamic models to observed data . . . . . . . . . . . . . 445--452 N. MacDonald Application of the describing function to the Danziger--Elmergreen equations 453--458 Ranabir Dutt Application of Hamilton--Jacobi theory to the Lotka--Volterra oscillator . . . 459--465
J. H. Matis and R. L. Kodell and M. Cardenas A note on the use of a stochastic mammillary compartmental model as an environmental safety model . . . . . . . 467--478 I. W. Richardson and S. Miekisz A dynamical field theory for dissipative thermal systems. The first and second laws of irreversible thermodynamics . . 479--496 Chun Chiang A theory of ambiguous pattern perception 497--504 E. T. Lee Algorithms for finding most dissimilar images with possible applications to chromosome classification . . . . . . . 505--516 N. Yamamura A mathematical approach to spatial distribution and temporal succession in plant communities . . . . . . . . . . . 517--526 J. P. Meyer and M. D. Kostin Diffusion through a membrane: Approach to equilibrium . . . . . . . . . . . . . 527--534 Janet Walker and Anne Van Nypelseer and W. E. Langlois Numerical integration of a stochastic model for the Volterra--Lotka reaction 535--546 Carlos A. Leguizamón Other developments regarding the concept of energy in biological systems . . . . 547--563 Robert Rosen Lecture notes in biomathematics 4. Physics and mathematics of the nervous system . . . . . . . . . . . . . . . . . 565--568 Robert Rosen The chief abstractions of biology . . . 569--571
Nadav Liron On peristaltic flow and its efficiency 573--596 John P. Mullooly Stochastic equilibria for multivariate reaction systems . . . . . . . . . . . . 597--622 Richard G. Fizell and Paul E. Rubin Bounds on the populations in the Dreitlein--Smoes model of oscillatory kinetic systems . . . . . . . . . . . . 623--631 Webster R. Johnson and Abdo H. Abdelmessih Two-regime model of the perfusion measuring heated thermocouple probe . . 633--642 P. L. Chow and W. C. Tam Periodic and traveling wave solutions to Volterra--Lotka equations with diffusion 643--658 Jan Doroszewski and Jadwiga Jakubas and Wies\law Szlenk Mathematical model of dynamic adhesion of lymphocytes on a glass-bead column 659--669 Leon Axel Flow limits of Kedem--Katchalsky equations for fluid flux . . . . . . . . 671--677 J. Radziuk An integral equation approach to measuring turnover in nonsteady compartmental and distributed systems 679--693 Asha Seth Kapadia and Bayliss C. McInnis A stochastic compartmental model with continuous infusion . . . . . . . . . . 695--700 Hilmi Demiray Large deformation analysis of some basic problems in biophysics . . . . . . . . . 701--712 A. Marmur and W. N. Gill and E. Ruckenstein Kinetics of cell deposition under the action of an external field . . . . . . 713--721 D. Kannan On some Markov models of certain interacting populations . . . . . . . . 723--738 Paul E. Rubin Bounds for generalized Dreitlein--Smoes models . . . . . . . . . . . . . . . . . 739--743
Yoji Aizawa and Yonosuke Kobatake A theory of oscillatory instability in two-state systems in relation to nerve excitation . . . . . . . . . . . . . . . i--i M. Cardenas and J. H. Matis On the time-dependent reversible stochastic compartmental model --- I. The general two-compartment system . . . ii--ii Donald C. Chang A physical model of nerve axon --- I. Ionic distribution, potential profile, and resting potential . . . . . . . . . 1--22 Thomas D. Rogers Local models of cell aggregation kinetics . . . . . . . . . . . . . . . . 23--42 Paul Rissman The leading edge approximation to the nerve axon problem . . . . . . . . . . . 43--58 Milton Lieberman A stochastic model based upon computer simulation using pre-emption to predict size distribution and species equitability . . . . . . . . . . . . . . 59--72 M. R. Davidson The influence of gas exchange on lung gas concentrations during air breathing 73--86 R. S. Howard and H. Bradner The $ \dot V_A / \dot Q $ resolution of inert gas dataresolution of inert gas data . . . . . . . . . . . . . . . . . . 87--98 Thomas D. Rogers Ecological capacity and species packing 99--107 Hedley C. Morris Almost critical ecosystems . . . . . . . 109--116 Lance A. Liotta and Gerald M. Saidel and Jerome Kleinerman Diffusion model of tumor vascularization and growth . . . . . . . . . . . . . . . 117--128 G. Papini An exactly soluble non-linear dynamical system . . . . . . . . . . . . . . . . . 129--131
F. R. McMorris On the compatibility of binary qualitative taxonomic characters . . . . 133--138 Michael Conrad Functional significance of biological variability . . . . . . . . . . . . . . 139--156 Philip H. Crowley Spatially distributed stochasticity and the constancy of ecosystems . . . . . . 157--166 Per-Erik E. Bergner Application of a theorem by bright to the generalized tracer system . . . . . 167--178 Aldo Rescigno The struggle for life --- IV two predators sharing a prey . . . . . . . . 179--185 Jane Cronin Mathematical aspects of peridic catatonic schizophrenia . . . . . . . . 187--199 Charles DeLisi and Aldo Rescigno Immune surveillance and neoplasia --- 1 a minimal mathematical model . . . . . . 201--221 G. M. Barnwell and F. S. Stafford A mathematical model of decision-making neural circuits controlling behavioral model selection . . . . . . . . . . . . 223--237 Robert Rosen On an empirical method for identifying the observables involved in dynamical interactions . . . . . . . . . . . . . . 239--244 H. Westcott Vayo and Dhanjoo N. Ghista and K. B. Chandran Oscillatory flow in thin-walled curved elastic tubes --- Summary . . . . . . . 245--248 I. C. Bâianu, Ph.D., M.Inst.P. A logical model of genetic activities in \Lukasiewicz algebras: The non-linear theory . . . . . . . . . . . . . . . . . 249--258 Sid Deutsch Two-stage lateral inhibition for auditory selectivity . . . . . . . . . . 259--266 George Karreman Cooperative specific adsorption phenomena in biology . . . . . . . . . . 267--273 Otto E. Rössler Chaos in abstract kinetics: Two prototypes . . . . . . . . . . . . . . . 275--289 H. D. Landahl Some conditions for sustained oscillations in chain processes with feedback inhibition and saturable removal . . . . . . . . . . . . . . . . 291--296
Manfred Kempfle Relaxation spectra of two-step mechanisms as measured by the NADH-binding to glutamate dehydrogenase 297--310 B. L. Jones Analysis of Eigen's equations for selection of biological molecules with fluctuating mutation rates . . . . . . . 311--316 George W. Swan and Thomas L. Vincent Optimal control analysis in the chemotherapy of IgG multiple myeloma . . 317--337 M. Gatto and S. Rinaldi Stability analysis of predator--prey models via the Liapunov method . . . . . 339--347 J. Portnow and A. Talo and B. J. Hodgson A random walk model of ovum transport 349--357 D. A. Linkens The stability of entrainment conditions for RLC coupled van der Pol oscillators used as a model for intestinal electrical rhythms . . . . . . . . . . . 359--372 Gerald Rosen Effects of diffusion on the stability of the equilibrium in multi-species ecological systems . . . . . . . . . . . 373--383 V. K. Sud and G. S. Sekhon and R. K. Mishra Pumping action on blood by a magnetic field . . . . . . . . . . . . . . . . . 385--390 R. F. Stetson and J. B. McGuire and W. A. Hogan Simulation of nonlinear reaction--diffusion equations . . . . . 391--396
Carlos A. Leguizamón Transfers between biological and environmental systems . . . . . . . . . 397--406 Carlos A. Leguizamón The bio-environmental system and the realizability of pre-biological systems 407--413 G. W. Cole and N. R. Scott A mathematical model of the dynamic heat transfer from the respiratory tract of a chicken . . . . . . . . . . . . . . . . 415--433 G. W. Swan Exact fundamental solutions of linear parabolic equations with spatially varying coefficients . . . . . . . . . . 435--451 Kenneth H. Norwich On the information received by sensory receptors . . . . . . . . . . . . . . . 453--461 S. R. Bernard An urn model study of variability within a compartment . . . . . . . . . . . . . 463--470 C. P. Yu and K. Chandra Precipitation of submicron charged particles in human lung airways . . . . 471--478 Aldo Rescigno The struggle for life --- V. One species living in a limited environment . . . . 479--485 Aldo Rescigno and Charles DeLisi Immune surveillance and neoplasia --- II. A two-stage mathematical model . . . 487--497 H. Nishimura Realization of dependency structures . . 499--503 J. F. G. Auchmuty and G. Nicolis Bifurcation analysis of nonlinear reaction--diffusion equations --- I . . 505--506 Anonymous Errata . . . . . . . . . . . . . . . . . 507--507
H. B. M. Uylings Optimization of diameters and bifurcation angles in lung and vascular tree structures . . . . . . . . . . . . 509--520 Gerald Rosen Physio-chemical mathematical theory for transitions in cellular metabolism: an aspect of carcinogenesis . . . . . . . . 521--532 D. L. Weiner and P. Purdue The stochastic theory of compartments --- A mammillary system . . . . . . . . 533--542 James P. Butler The Green's function for the convection-diffusion equation in an analytic lung model . . . . . . . . . . 543--563 Virendra Singh Analytical theory of the control equations for protein synthesis in the Goodwin model . . . . . . . . . . . . . 565--575 H. Radu and A. Da Ronch and V. Caldesi-Valeri Calcium and myotonia: a mathematical model . . . . . . . . . . . . . . . . . 577--585 George Karreman and Christian J. Lambertsen Kinetics of isobaric counterdiffusion 587--595 Martin Eisen and John Schiller Stability analysis of normal and neoplastic growth . . . . . . . . . . . 597--605 David K. Cohoon and James B. Stewart Prediction of light-induced transient thermal response of the retina . . . . . 607--612 R. Shonkwiler Consequences of the growth and division model for mitochondria assuming no cellular control . . . . . . . . . . . . 613--618 V. S. Varma Exact solutions for a special prey--predator or competing species system . . . . . . . . . . . . . . . . . 619--622 Ranabir Dutt and Prabir Kumar Ghosh A graphical analysis of biological evolution in a prey--predator ecology 623--627 Robert Rosen Structural stability and morphogenesis 629--632 Anonymous International Conference on Energy Use Management . . . . . . . . . . . . . . . 633--633
Anonymous Henry Laurence Lucas, Jr. 1916--1977 . . 635--636 George Karreman Perspectives of mathematical biology presidential address 1976 annual program of the society for mathematical biology 637--641 N. Lakshminarayanaiah Evaluation of membrane surface charge density: a discussion of some models . . 643--662 Robert Rosen Observation and biological systems . . . 663--678 Edward Kresch Cross-sectional shape of flexible tubes 679--691 Charles J. Mode Some techniques in building and validating stochastic models of human reproduction . . . . . . . . . . . . . . 693--704 Charles DeLisi Detection and analysis of recognition and selection in the immune response . . 705--719 Gilbert N. Ling and Kim Peterson A theory of cell swelling in high concentrations of KCl and other chloride salts . . . . . . . . . . . . . . . . . 721--741 N. Liron On peristaltic flow and its efficiency 743--743
A. E. R. Woodcock On the geometry of space-and time-equivalent catastrophes . . . . . . 1--25 Leon Glass and Joel S. Pasternack Prediction of limit cycles in mathematical models of biological oscillations . . . . . . . . . . . . . . 27--44 Otto E. Rössler Deductive biology --- Some cautious steps . . . . . . . . . . . . . . . . . 45--58 Ruby Celeste and Eugene Ackerman and Laël C. Gatewood and Clayton Reynolds and George D. Molnar The role of glucagon in the regulation of blood glucose: Model studies . . . . 59--77 Erich Doubek, Jr. Least energy regulation of the arterial system . . . . . . . . . . . . . . . . . 79--93 C. N. Weygandt and R. H. Cox and G. Karreman and M. L. Cole Pressure-flow relationships in a model for the arterial system . . . . . . . . 95--105 C. V. Pao The kinetics of diffused substances in some biological systems . . . . . . . . 107--121 George G. Ross A note on dynamics of population with history-dependent birth rate . . . . . . 123--131
H. Robert van der Vaart Conditions for periodic solutions of Volterra differential systems . . . . . 133--160 D. A. Danielson Tension field theories for soft tissues 161--182 H. G. Klinger Heat transfer in perfused biological tissue --- II. The ``macroscopic'' temperature distribution in tissue . . . 183--199 R. E. Collin and R. Plonsey A note on dipole sources in conducting biological tissues . . . . . . . . . . . 201--209 John L. Stephenson Analysis of the transient behavior of kidney models . . . . . . . . . . . . . 211--221 Allan B. Friedland A hydrodynamic model of aqueous flow in the posterior chamber of the eye . . . . 223--235 Ajit K. Thakur and Aldo Rescigno On the stochastic theory of compartments: III. General time-dependent reversible systems . . . 237--246 Chun Chiang On the nerve impulse equation: The dynamic responses of nerve impulse . . . 247--255 M. I. Granero Porati and A. Porati and A. Vecli Analytical conditions for the conservative form of the ecological equations . . . . . . . . . . . . . . . 257--264 S. R. Bernard Metabolic model and dosimetric data for copper . . . . . . . . . . . . . . . . . 265--269 Charles Walter Mathematical models of metabolic regulation, \booktitleSymposia Biologica Hungarica . . . . . . . . . . . . . . . 271--272
Jackie B. Garner and Kenny S. Crump and John L. Stephenson Transient behaviour of the single loop solute cycling model of the renal medulla . . . . . . . . . . . . . . . . 273--300 I. W. Richardson and S. Miekisz A dynamical field theory for dissipative systems: The hierarchical structure of field thermodynamics . . . . . . . . . . 301--318 G. R. Walsh Optimal control of pests in the presence of predators . . . . . . . . . . . . . . 319--333 G. Bojadziev The Krylov--Bogoliubov--Mitropolskii method applied to models of population dynamics . . . . . . . . . . . . . . . . 335--345 Mark J. Christensen and R. Shonkwiler Lag time in microbe growth as an age-dependent branching process with two phase types . . . . . . . . . . . . . . 347--358 K. Vit Analytical solution to isometric mechanogram of Hill's model of striated muscle . . . . . . . . . . . . . . . . . 359--368 P. Bertrand and G. Le Cardinal and E. Walter Reconstitution of the transition matrix from experimental data . . . . . . . . . 369--376 David A. Sánchez Linear age-dependent population growth with harvesting . . . . . . . . . . . . 377--385 Edward H. Kerner Multiple speciation, competitive exclusion, evolutionary pattern, and the grand ensemble in Volterra eco-dynamics 387--410 Gordon M. Schoepfle and Warren S. Rehm and John H. Young Ionic concentration profiles and charge distribution for the domain of a polarized spherical cell . . . . . . . . 411--424 Robert Rosen A comment on the Richardson--Miekisz field theory of thermodynamics . . . . . 425--426 D. L. Weiner and P. Purdue The stochastic theory of compartments --- a mammillary system . . . . . . . . 427--427
Michael A. B. Deakin An elementary approach to catastrophe theory . . . . . . . . . . . . . . . . . 429--450 I. Mirsky and P. L. McGill and R. F. Janz Mechanical behaviour of ventricular aneurysms . . . . . . . . . . . . . . . 451--464 Israel Mirsky Effects of external pressures on the pressure-volume relation of the left ventricle . . . . . . . . . . . . . . . 465--482 Stephen C. Smeach and Albert Rust A stochastic approach to predator--prey models . . . . . . . . . . . . . . . . . 483--498 Shui-Nan Chuang and T. T. Soong Mathematical analysis of cancer chemotherapy: The effects of chemotherapeutic agents on the cell cycle traverse . . . . . . . . . . . . . 499--512 Ken Tregonning and Alan Roberts Ecosystem-like behavior of a random-interaction model. I . . . . . . 513--524 B. S. Goh Global stability in a class of prey--predator models . . . . . . . . . 525--533 I. S. Zhitomirskii and A. A. Kagna A theoretical study of the temperature distribution in skeletal muscle undergoing rhythmic contractions . . . . 535--540 Nils Chr Stenseth and Jon Reed A comment on Bobisud's paper on evolution of cannibalism . . . . . . . . 541--545 David K. Cohoon and James B. Stewart Prediction of light-induced transient thermal response of the retina . . . . . 547--547
Robert Rosen Dynamical similarity and the theory of biological transformations . . . . . . . 549--579 W. R. Scott and D. B. Taulbee and C. P. Yu Theoretical study of nasal deposition 581--604 Bruce Bridgeman Distributed sensory coding applied to simulations of iconic storage and metacontrast . . . . . . . . . . . . . . 605--623 Theo Pavlidis What do mathematical models tell us about circadian clocks? . . . . . . . . 625--635 Douglas K. McIlroy and Brian D. Hahn Electric field distribution, ionic selectivity and permeability in nerve 637--649 C. Cobelli and L. M. Morato On the identification by filtering techniques of a biological $n$-compartment model in which the transport rate parameters are assumed to be stochastic processes . . . . . . . . 651--660 H. Shen and K. E. Lonngren and E. L. Forker Self-similar solution of a distributed model for transcapillary exchange and solute removal by the liver . . . . . . 661--669 Gerald Rosen Steady-state distribution of bacteria chemotactic toward oxygen . . . . . . . 671--674
Theo Pavlidis Qualitative similarities between the behavior of coupled oscillators and circadian rhythms . . . . . . . . . . . 675--692 C. P. Yu A two-component theory of aerosol deposition in lung airways . . . . . . . 693--706 John T. Kemper The effects of asymptomatic attacks on the spread of infectious disease: a deterministic model . . . . . . . . . . 707--718 Debajyoti Bhaumik and Kamales Bhaumik and Asim Kumar Ray and Binayak Dutta-Roy On a model and the kinetics of photo-enhanced enzyme reactions . . . . 719--726 I. G. Darvey and A. H. Klotz and M. Ritter On the kinetics of enzyme reactions . . 727--734 N. Anderson and A. M. Arthurs Complementary variational principles for the steady-state finite cable model of nerve membranes . . . . . . . . . . . . 735--742 P. Schuster and K. Sigmund and R. Wolff Dynamical systems under constant organization. I. Topological analysis of a family of non-linear differential equations --- A model for catalytic hypercycles . . . . . . . . . . . . . . 743--769 T. Erneux and J. Hiernaux and G. Nicolis Turing's theory in morphogenesis . . . . 771--789 D. C. Mikulecky Global flow equations for membrane transport from local equations of motion: I. The general case for $ (n - 1) $ nonelectrolyte solutes plus water 791--805 Aldo Rescigno On phase locking of pulse encoders . . . 807--821 Allan B. Friedland A mathematical model of transmural transport of oxygen to the retina . . . 823--837 Francesco Andrietti Interactions among biological systems: an analysis of asymptotic stability . . 839--851 Gerald Rosen Galerkin-Ritz procedures for approximate solutions to systems of reaction--diffusion equations . . . . . 853--863 Terry J. van der Werff and Horst E. Wilhelm Steady state bifurcation analysis of reaction--diffusion equations --- a critique . . . . . . . . . . . . . . . . 865--872 Robert Rosen Mathematical models in biological discovery. Lecture notes in biomathematics . . . . . . . . . . . . . 873--875
Ya. S. Smetani\vc and R. V. Polozov On the algorithms for determining the primary structure of biopolymers . . . . 1--20 T. Erneux and M. Herschkowitz-Kaufman Bifurcation diagram of a model chemical reaction --- I. Stability changes of time-periodic solutions . . . . . . . . 21--38 Edward Kresch Cross-sectional area of flexible tubes 39--52 Kenny S. Crump and Wan-Shin C. O'Young Some stochastic features of bacterial constant growth apparatus . . . . . . . 53--66 H. I. Freedman Stability analysis of a predator--prey system with mutual interference and density-dependent death rates . . . . . 67--78 Douglas E. Kenyon A mathematical model of water flux through aortic tissue . . . . . . . . . 79--90 Georges A. Bécus Stochastic prey--predator relationships: a random differential equation approach 91--100 A. E. R. Woodcock Catastrophe theory and cellular determination, transdetermination and differentiation . . . . . . . . . . . . 101--117 B. L. Jones Some selection models in catalytically coupled selfreproducing macromolecular systems . . . . . . . . . . . . . . . . 119--127
Thomas D. Rogers Diversity and diffusion in multidimensional niche space . . . . . . 129--138 Hiroyuki Suga Minimal oxygen consumption and optimal contractility of the heart: Theoretical approach to principle of physiological control of contractility . . . . . . . . 139--150 S. H. Lin Nonlinear diffusion in biological systems . . . . . . . . . . . . . . . . 151--162 A. Peskoff Electric potential in three-dimensional electrically syncytial tissues . . . . . 163--181 A. Peskoff Electric potential in cylindrical syncytia and muscle fibers . . . . . . . 183--192 A. Babloyantz and L. K. Kaczmarek Self-organization in biological systems with multiple cellular contacts . . . . 193--201 S. El-Asfouri and B. C. McInnis and A. S. Kapadia Stochastic compartmental modeling and parameter estimation with application to cancer treatment follow-up studies . . . 203--215 B. G. Min Performance criteria for optimization of cardiac assistance . . . . . . . . . . . 217--227 D. Kannan Volterra-Verhulst prey--predator systems with time dependent coefficients: Diffusion type approximation and periodic solutions . . . . . . . . . . . 229--251 Robert Rosen Catastrophe theory: Selected papers 1972--1977 . . . . . . . . . . . . . . . 253--255
Jurgen Fohlmeister A theoretical study of neural adaptation and transient responses due to inhibitory feedback . . . . . . . . . . 257--282 Thomas D. Rogers and S. C. Trofanenko On the measurement of shape . . . . . . 283--304 S. Zietz and C. Nicolini Mathematical approaches to optimization of cancer chemotherapy . . . . . . . . . 305--324 G. Bojadziev and S. Chan Asymptotic solutions of differential equations with time delay in population dynamics . . . . . . . . . . . . . . . . 325--342 Douglas K. McIlroy Analysis of potassium conductance in squid giant axons . . . . . . . . . . . 343--356 Geral Rosen Time development of probability distributions for interacting species 357--364 V. S. Vaidhyanathan Nernst--Planck analog equations and stationary state membrane electric potentials . . . . . . . . . . . . . . . 365--385 Michael Conrad Mutation-absorption model of the enzyme 387--405 Herbert Hatze A teleological explanation of Weber's law and the motor unit size law . . . . 407--425 Robert Rosen Some comments on activation and inhibition . . . . . . . . . . . . . . . 427--445 D. C. Mikulecky Erratum: Global flow equations for membrane transport from local equations of motion: 1. The general case for $ (n - 1) $ nonelectrolyte solutes plus water 447--447
B. L. Jones Stability and selection in self-reproducing macromolecular systems 449--460 J. Hiernaux and T. Erneux Chemical patterns in circular morphogenetic fields . . . . . . . . . . 461--468 R. Lefever and W. Horsthemke Bistability in fluctuating environments. Implications in tumor immunology . . . . 469--490 James H. Matis and H. Dennis Tolley Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case . . . . . . . . . . . . . . . 491--515 J. E. Mann Some results on light penetration of an absorbing medium . . . . . . . . . . . . 517--523 G. Stephanopoulos and A. G. Fredrickson Coexistence of photosynthetic microorganisms with growth rates depending on the spectral quality of light . . . . . . . . . . . . . . . . . 525--542 Georges A. Bécus Stochastic prey--predator relationships: a random evolution approach . . . . . . 543--554 René P. Sperb On a mathematical model describing the aggregation of amoebae . . . . . . . . . 555--571 D. A. Linkens The method of harmonic balance applied to coupled asymmetrical van der Pol oscillators for intestinal modelling . . 573--589 Ronald C. Tai and Hsin-Kang Chang A mathematical study of non-equimolar ternary gas diffusion . . . . . . . . . 591--606 P. R. Parthasarathy and A. Krishnamoorthy Markov branching processes with varying growth rates . . . . . . . . . . . . . . 607--610 B. C. McInnis and S. A. El-Asfouri and S. A. Kapadia On stochastic compartmental modeling . . 611--613 Michael A. B. Deakin Catastrophe theory and its applications (Surveys and reference works in mathematics 2) . . . . . . . . . . . . . 615--616
Daniel S. Levine Existence of a limiting pattern for a system of nonlinear equations describing interpopulation competition . . . . . . 617--628 D. C. Mikulecky Global flow equations for membrane transport from local equations of motion --- II. The case of a single nonelectrolyte solute plus water . . . . 629--640 E. Beretta and F. Vetrano and F. Solimano and C. Lazzari Some results about nonlinear chemical systems represented by trees and cycles 641--664 José Argémi and Maurice Gola and Hél\`ene Chagneux Qualitative analysis of a model generating long potential waves in Ba-treated nerve cells --- I. Reduced systems . . . . . . . . . . . . . . . . 665--686 R. A. Sherlock Analysis of the behaviour of Kauffman binary networks --- I. State space description and the distribution of limit cycle lengths . . . . . . . . . . 687--705 R. A. Sherlock Analysis of the behaviour of Kauffman binary networks --- II. The state cycle fraction for networks of different connectivities . . . . . . . . . . . . . 707--724 Truett L. Smith and Chris P. Tsokos On the study of two interacting populations one of which acts independently of the other . . . . . . . 725--735 J. O. Epperson and J. H. Matis On the distribution of the general irreversible $n$-compartmental model having time-dependent transition probabilities . . . . . . . . . . . . . 737--749 M. J. Manton On feasible random ecosystems . . . . . 751--755 Donald C. Mikulecky and Robert Rosen Book reviews . . . . . . . . . . . . . . 757--759
H. Hatze A teleological explanation of Weber's law and the motor unit size law . . . . i--i B. L. Jones Selection in systems of self-reproducing macromolecules under the constraint of controlled energy fluxes . . . . . . . . 761--766 T. Erneux and M. Herschkowitz-Kaufman The bifurcation diagram of a model chemical reaction --- II. Two dimensional time-periodic patterns . . . 767--790 B. Heukelom and A. van der Stelt and P. C. Diegenbach A simple anatomical model of muscle, and the effects of internal pressure . . . . 791--802 Bernd Küppers Some remarks on the dynamics of molecular self-organization . . . . . . 803--812 Yoji Aizawa and Hiroshi Shimizu An exact analysis of the sliding motion in contractile system: a simplified model of muscle system . . . . . . . . . 813--828 Michael C. Mackey Periodic auto-immune hemolytic anemia: an induced dynamical disease . . . . . . 829--834 Mark J. Ablowitz and Anthony Zeppetella Explicit solutions of Fisher's equation for a special wave speed . . . . . . . . 835--840 Chun Chiang On the gating currents and the dipole transitions . . . . . . . . . . . . . . 841--848 B. L. Jones Some models for selection of biological macromolecules with time varying constraints . . . . . . . . . . . . . . 849--859 M. E. Fisher and B. S. Goh and T. L. Vincent Some stability conditions for discrete-time single species models . . 861--875 Thomas C. Gard and Thomas G. Hallam Persistence in food webs --- I. Lotka--Volterra food chains . . . . . . 877--891 H. C. Yeh Modeling of biological tree structures 893--898 R. Martino Analytical considerations on a new class of functions for the mathematical description of the human Erythrocyte's profile during the osmotic, ``disk-sphere'' transition . . . . . . . 899--904
Michael Schum and Hsu-Chi Yeh Theoretical evaluation of aerosol deposition in anatomical models of mammalian lung airways . . . . . . . . . 1--15 Hiram E. Hart and Ki-Chuen Chak Theory of antigen-antibody induced particulate aggreagation --- I. General assumptions and basic theory . . . . . . 17--36 Ki-Chuen Chak and Hiram Hart Theory of antigen-antibody induced particulate aggregation --- II theoretical analysis and comparison with experimental results . . . . . . . . . . 37--56 William R. Smith Hypothalamic regulation of pituitary secretion of luteinizing hormone --- II feedback control of gonadotropin secretion . . . . . . . . . . . . . . . 57--78 Ling Y. Wei Dipole theory of interactions of nerve signals . . . . . . . . . . . . . . . . 79--94 Gerald Rosen On the Fisher and the cubic-polynomial equations for the propagation of species properties . . . . . . . . . . . . . . . 95--106 S. Comorosan and M. Hristea and P. Murgoci On a new symmetry in biological systems 107--117 Hironori Hirata A model of hierarchical ecosystems with migration . . . . . . . . . . . . . . . 119--130 N. Anderson and A. M. Arthurs Complementary variational principles for diffusion problems with Michaelis--Menten kinetics . . . . . . . 131--135 Ion C. Baianu Structural order and partial disorder in biological systems . . . . . . . . . . . 137--141 Anonymous Announcements . . . . . . . . . . . . . 143--145
Ajit K. Thakur and Charles DeLisi Fluctuation analysis in small chemically reacting systems . . . . . . . . . . . . 147--160 Carlos A. Leguizamón and Juan C. Giménez Concept of energy in biological systems and the effects of irradiations of low energies on enzyme-substrate systems . . 161--172 B. G. Min and W. Welkowitz and S. Fich Frequency analysis of time-varying elastance model of the left ventricle 173--180 Edward L. Keller Primitivity of the product of two Leslie matrices . . . . . . . . . . . . . . . . 181--189 Joe Bentz and Shlomo Nir Cation binding to membranes: Competition between mono-, di- and trivalent cations 191--220 José Argémi and Maurice Gola and Hél\`ene Chagneux Qualitative analysis of a model generating long potential waves in Ba-treated nerve cells. II. Complete system . . . . . . . . . . . . . . . . . 221--238 Evelyn Stevens and Roberta F. Colman Chemical modification of enzymes: Critical evaluation of the graphical correlation between residual enzyme activity and number of groups modified 239--255 C. D. Thron The nonexistence of ``hermaphoroditic'' tracer systems . . . . . . . . . . . . . 257--265 Matthew Witten A note on the structure of system state spaces and its implications on the existence of non-repeatable experiments 267--272 B. F. Gray Heat generation in tissues . . . . . . . 273--274 I. Zhitomirskii and A. Kagna Temperature distribution in muscle . . . 275--275 Robert Rosen Book reviews . . . . . . . . . . . . . . 277--281 E. Beretta Some results about nonlinear chemical systems represented by trees and cycles 282--282
J. B. Shukla and R. S. Parihar and B. R. P. Rao Effects of stenosis on non--Newtonian flow of the blood in an artery . . . . . 283--294 J. B. Garner and R. B. Kellogg A one tube flow problem arising in physiology . . . . . . . . . . . . . . . 295--304 M. C. Shen and S. M. Shim and A. M. Wu Asymptotic method for peristaltic transport . . . . . . . . . . . . . . . 305--325 Charles J. Lumsden and L. E. H. Trainor On the Hamiltonian content of biodynamics . . . . . . . . . . . . . . 327--337 Shun-Ichi Amari Topographic organization of nerve fields 339--364 Stephen Grossberg Intracellular mechanisms of adaptation and self-regulation in self-organizing networks: The role of chemical transducers . . . . . . . . . . . . . . 365--396 C. R. Kennedy and R. Aris Traveling waves in a simple population model involving growth and death . . . . 397--429 Ion C. Baianu Natural transformations of organismic structures . . . . . . . . . . . . . . . 431--446 B. R. Scott A model for early death caused by radiation pneumonitis and pulmonary fibrosis after inhaling insoluble radioactive particles . . . . . . . . . 447--459 Hsu-Chi Yeh and G. M. Schum Models of human lung airways and their application to inhaled particle deposition . . . . . . . . . . . . . . . 461--480 J. Z. Hearon On the completely symmetric compartmental system . . . . . . . . . . 481--488
Chyuan-Yih Lee The dipole flip-flop theory for the excitation and conduction of excitable tissues --- I. Dipole's behavior and gating currents . . . . . . . . . . . . 489--505 Matthew Witten Some generalized conjugacy theorems and the concepts of fitness and survival in logistic growth models . . . . . . . . . 507--528 C. S. Patlak and K. D. Pettigrew and S. I. Rapoport Use of transient and steady-state measurements of the unidirectional flux ratio for the determination of the free energy change of chemical reactions and active transport systems . . . . . . . . 529--537 B. L. Jones On the evolution of prebiotic enzyme coupled macromolecular systems . . . . . 539--549 J. R. Pounder and Thomas D. Rogers The geometry of chaos: Dynamics of a nonlinear second-order difference equation . . . . . . . . . . . . . . . . 551--597 A. J. Willson On Varma's prey--predator problem . . . 599--600
Gregory S. B. Lin Theory of cation-phospholipid-induced shape changes in a lipid bilayer couple 601--625 M. A. Khanin and I. B. Bukharov A mathematical model of the functional state of the oxygen transport system . . 627--645 M. A. B. Deakin Applied catastrophe theory in the social and biological sciences . . . . . . . . 647--679 Jacob S. Ishay and Bice Perna and Yosef Hochberg and Mina Goldstein Photoelectric properties of the ``yellow strips'' in \bionameVespa orientalis; a mathematical model . . . . . . . . . . . 681--689 Richard J. Bucolo and Vijai K. Tripathi Steady-state analysis of a two-compartment barrier-limited capillary-tissue model with Michaelis--Menten saturation kinetics 691--700 G. N. Bojadziev Damped oscillating processes in biological and biochemical systems . . . 701--718 Paul Cull The problem of time unit in Leslie's population model . . . . . . . . . . . . 719--728 K. Gopalsamy Time lags and global stability in two-species competition . . . . . . . . 729--737 Max D. Morris and C. Alex McMahan A note on the dominance hierarchy index 739--746 Robert Rosen Food webs and niche spaces . . . . . . . 747--748 J. Bentz and S. Nir Cation binding to membranes; competition between mono-, di-and trivalent cations 749--749
Douglas K. McIlroy On the theory of interfacial double-layer potential differences and periaxonal accumulation of potassium in squid giant axons . . . . . . . . . . . 751--763 R. J. Roselli Effects of red cell permeability on transcapillary tracer transport: The case of negligible back diffusion . . . 765--795 J. B. Shukla and R. S. Parihar and S. P. Gupta Effects of peripheral layer viscosity on blood flow through the artery with mild stenosis . . . . . . . . . . . . . . . . 797--805 I. Mirsky and M. M. Laks A geometric model for the myocardium: Biventricular wall stresses in normal and hypertrophied states . . . . . . . . 807--828 S. C. Bhargava On the Higgins model of glycolysis . . . 829--836 Jesper Larsen A mathematical model of the oscillations in the aphakic eye . . . . . . . . . . . 837--845 Wen-Jia Russell Chen and David Shii-Pyng Shiah and C. S. Wang A three-dimensional model of the upper tracheobronchial tree . . . . . . . . . 847--859 W. Liniger and G. Karreman and R. Rawala and R. Colman Mathematical model of the activation of prothrombin by factor $ X_a $ and factor $ V_t $ . . . . . . . . . . . . . . . . 861--870 K. Gopalsamy Pursuit-evasion wave trains in prey--predator systems with diffusionally coupled delays . . . . . . 871--887 Robert Rosen On control and optimal control in biodynamic systems . . . . . . . . . . . 889--897 Robert Rosen Mathematical models in the health sciences: a computer-aided approach . . 899--900 Anonymous The 9th Annual Northeast Biomedical Engineering Conference . . . . . . . . . 901--901
Gerald M. Saidel and Gerald M. Burma Multibreath tracer species dynamics in the lung . . . . . . . . . . . . . . . . 1--19 Virendra Singh Nonlinear biological oscillators: Action-angle variable approach with an application to Cowan's model of neuroelectric activity . . . . . . . . . 21--32 S. R. Bernard and Milton Sobel and V. R. R. Uppuluri On a two urn model of Pólya-type . . . . 33--45 Paul Cull Global stability of population models 47--58 Michael Conrad and Arnon Rosenthal Limits on the computing power of biological systems . . . . . . . . . . . 59--67 J. Roerdink and A. Weyland A generalized Fokker--Planck equation in the case of the Volterra model . . . . . 69--79 A. L. Kovacs and C. Pacitti and F. Conti and A. L. Segre A topological study of the base sequences of MS2 and $ \varphi $ X174 genoma . . . . . . . . . . . . . . . . . 81--88 Shoshana L. Hardt The diffusion transit time; A simple derivation . . . . . . . . . . . . . . . 89--99 Keith Horsfield and Alison Thurlbeck Volume of the conducting airways calculated from morphometric parameters 101--109 Peter Purdue Variability in a single compartment system: a note on S. R. Bernard's model 111--116 D. L. S. McElwain A comment on Lin's paper on nonlinear diffusion in biological systems . . . . 117--120 Robert Rosen Nonlinear oscillations in biology . . . 121--123
K. Gopalsamy and B. D. Aggarwala The logistic equation with a diffusionally coupled delay . . . . . . 125--140 Kenneth H. Norwich Uncertainty in physiology and physics 141--149 G. Radhakrishnamacharya and Peeyush Chandra and M. R. Kaimal A hydrodynamical study of the flow in renal tubules . . . . . . . . . . . . . 151--163 Gregory Stephanopoulos and A. G. Fredrickson Extinction probabilities in microbial predation: a birth and death approach 165--181 Alan Y. K. Wong Some comments on the conductance of slow inward current in cardiac muscle . . . . 183--199 G. K. Agrafiotis On the stochastic theory of compartments: The leaving process of the two-compartment systems . . . . . . . . 201--211 Dionyssis Venieratos Models on prebiotic polymer competition: a deterministic approach . . . . . . . . 213--232 H. Moseley and R. Strang Prediction of the effect of the choroidal circulation on the retinal temperature during illumination . . . . 233--238 T. Margush and F. R. McMorris Consensus $n$-trees . . . . . . . . . . 239--244 Aldo Rescigno and James H. Matis On the relevance of stochastic compartmental models to pharmacokinetic systems . . . . . . . . . . . . . . . . 245--247
John T. Kemper Identification of silent infections in SIR epidemics . . . . . . . . . . . . . 249--257 M. Marek and M. Kubí\^cek Morphogen pattern formation and development in growth . . . . . . . . . 259--270 T. B. Boffey and D. F. Yates Simulation experiments with a model for cellular growth . . . . . . . . . . . . 271--278 Ian Stewart and A. E. R. Woodcock On Zeeman's equations for the nerve impulse . . . . . . . . . . . . . . . . 279--325 L. R. Shenton A reinforcement-depletion urn problem --- I. Basic theory . . . . . . . . . . 327--340 N. Anderson and A. M. Arthurs Complementary extremum principles for a nonlinear model of heat conduction in the human head . . . . . . . . . . . . . 341--346 P. R. Parthasarathy and P. Mayilswami Stochastic compartmental model with branching particles . . . . . . . . . . 347--360 Rainer Ignetik and Michael A. B. Deakin and Chris Fandry Phase-plane analyses of the Michaelis--Menten reaction equations . . 361--370 C.-Y. Lee On Wei's fundamental equation for nerve excitation . . . . . . . . . . . . . . . 371--372 L. Y. Wei Reply to Chyuan-Yih Lee . . . . . . . . 372--373
Rainer Ignetik and Michael A. B. Deakin Asymptotic analysis of the Michaelis--Menten reaction equations . . 375--388 J. C. Eilbeck and S. D. Luzader and A. C. Scott Pulse evolution on coupled nerve fibres 389--400 William T. Joines and Blake S. Wilson Field-induced forces at dielectric interfaces as a possible mechanism of RF hearing effects . . . . . . . . . . . . 401--413 A. Muir The construction of homogeneous nets . . 415--426 James R. Brannan and William E. Boyce Spatially localized interactive neural populations --- I. A mathematical model 427--446 Rachad M. Shoucri Contractile analysis and kinetic energy of the myocardium . . . . . . . . . . . 447--461 K. Gopalsamy Limit cycles in periodically perturbed population systems . . . . . . . . . . . 463--485 B. R. Scott A dose-response model for estimating lifetime tumor risks when cell killing occurs . . . . . . . . . . . . . . . . . 487--501 Karmeshu and C. K. Gupta A one-compartment model with stochastic parameter . . . . . . . . . . . . . . . 503--512 Robert Rosen On a unified approach to pattern generation . . . . . . . . . . . . . . . 513--516
Malcolm M. Davidson Further considerations in a theoretical description of gas transport in lung airways . . . . . . . . . . . . . . . . 517--548 K. M. Mehata and D. Deivamoney Selvam A stochastic model for the $n$-compartment irreversible system . . 549--561 N. P. Gopalan Pulsatile blood flow in a rigid pulmonary alveolar sheet with porous walls . . . . . . . . . . . . . . . . . 563--577 A. I. MacFarlane Dynamic structure theory: a structural approach to social and biological systems . . . . . . . . . . . . . . . . 579--591 J. B. Shukla and Sunita Verma Effects of convective and dispersive interactions on the stability of two species . . . . . . . . . . . . . . . . 593--610 T. Tóth Role of the hypergeometric distribution in the transmission of excitation through sympathetic ganglia . . . . . . 611--618
H. A. Saroff and F. A. Kutyna The uniqueness of protein sequences: a Monte Carlo analysis . . . . . . . . . . 619--639 M. W. Warner Tolerance nets . . . . . . . . . . . . . 641--650 James H. Matis and Thomas E. Wehrly Compartmental models with multiple sources of stochastic variability: The one-compartment models with clustering 651--664 B. L. Jones and H. K. Leung Stochastic analysis of a nonlinear model for selection of biological macromolecules . . . . . . . . . . . . . 665--680 Keith Horsfield and Alison Thurlbeck Relation between diameter and flow in branches of the bronchial tree . . . . . 681--691 C. D. Thron Peak drug levels in linear pharmacokinetic systems --- I. Effect of rate of injection . . . . . . . . . . . 693--703 C. D. Thron Peak drug levels in linear pharmacokinetic systems --- II. Conditions for a paradoxical injection rate effect with rectangular input . . . 705--715 Joel E. Cohen Some trees are not interval graphs . . . 717--717 Anonymous Annual Meeting of the Cell Kinetics Society . . . . . . . . . . . . . . . . 719--719
Marek Kimmel An equivalence result for integral equations with application to branching processes . . . . . . . . . . . . . . . 1--15 H. Inagaki Selection under random mutations in stochastic Eigen model . . . . . . . . . 17--28 Julius Melbin and Abraham Noordergraaf General solution for flow and stress phenomena in elastic vessels (Navier--Stokes) . . . . . . . . . . . . 29--42 James R. Brannan Spatially localized interactive neural populations --- II: Stability and dynamics of excitatory sets . . . . . . 43--56 D. A. Linkens and R. I. Kitney Mode analysis of physiological oscillators intercoupled via pure time delays . . . . . . . . . . . . . . . . . 57--74 P. R. Parthasarathy and P. Mayilswami Stochastic compartmental models with branching and immigrant particles . . . 75--86 K. J. Brown and J. C. Eilbeck Bifurcation, stability diagrams, and varying diffusion coefficients in reaction--diffusion equations . . . . . 87--102 M. I. Granero-Porati and R. Kron-Morelli and A. Porati Random ecological systems with structure: Stability-complexity relationship . . . . . . . . . . . . . . 103--117 M. Weingarden and H. Mizukami and Stephan A. Rice Transient effects on the initial rate of oxygenation of red blood cells . . . . . 119--134 M. Weingarden and H. Mizukami and S. A. Rice Factors defining the rate of oxygen uptake by the red blood cell . . . . . . 135--147 Jane Cronin Remark on the article, ``Applied catastrophe theory in the social and biological sciences'' by M. A. B. Deakin (1980) . . . . . . . . . . . . . . . . . 149--150 S. R. Bernard Book review . . . . . . . . . . . . . . 151--151 T. Tóth Role of the hypergeometric distribution in the transmission of excitation through sympathetic Ganglia . . . . . . 152--152
Mohsin R. Siddique and T. Leo van Winkle and David M. Wetzel and Marshall M. Lih A variational calculus approach to the suspension flow problem using the minimal force hypothesis . . . . . . . . 153--174 Hilmi Demiray and Mark Levinson On a class of finite deformations of elastic soft tissues . . . . . . . . . . 175--192 Jean-Pierre Dujardin and Boudewijn Van Gelder Large signal, low frequency characteristics of the systemic arterial system . . . . . . . . . . . . . . . . . 193--213 Y. J. Seto and S. T. Hsieh Electromagnetic mediated pharmacokinetics in a three-layer diffusional system . . . . . . . . . . . 215--229 Maurice Gola and Hél\`ene Chagneux and José Argémi An asymmetrical kinetic model for veratridine interactions with sodium channels in molluscan neurons . . . . . 231--258 Ronald Shonkwiler and Maynard Thompson Common source epidemics. I: a stochastic model . . . . . . . . . . . . . . . . . 259--269 R. Nallaswamy and J. B. Shukla Effects of convective and dispersive migration on the linear stability of a two species system with mutualistic interactions and functional response . . 271--282 A. van Rotterdam and F. H. Lopes da Silva and J. van den Ende and M. A. Viergever and A. J. Hermans A model of the spatial-temporal characteristics of the alpha rhythm . . 283--305 Anonymous Announcements . . . . . . . . . . . . . 307--307
Alan E. Gelfand A behavioral summary for completely random nets . . . . . . . . . . . . . . 309--320 B. F. Gray and M. E. Sherrington Eigensolutions of nonlinear wave equations in one dimension . . . . . . . 321--337 B. H. Voorhees Dissipative structures associated to certain reaction--diffusion equations in mathematical ecology . . . . . . . . . . 339--348 André G. Roy and Michael J. Woldenberg A generalization of the optimal models of arterial branching . . . . . . . . . 349--360 R. Taylor and R. Krishnamurthy Film models for multicomponent mass transfer: Diffusion in physiological gas mixtures . . . . . . . . . . . . . . . . 361--376 Ronald Shonkwiler and Maynard Thompson Common source epidemics II: Toxoplasmosis in Atlanta . . . . . . . . 377--398 Herbert D. Landahl and Gerold M. Grodsky Comparison of models of insulin release 399--409 Wim van Drongelen and Yves Pagnotte and Mat H. Hendriks Primary events in odour detection . . . 411--423 T. B. Martonen Analytical model of hygroscopic particle behavior in human airways . . . . . . . 425--442 Michael Conrad and Otto Rössler Example of a system which is computation universal but not effectively programmable . . . . . . . . . . . . . . 443--447 Jane Cronin Remark on the letter by Zhitomirsky and Kagna (1980) . . . . . . . . . . . . . . 449--449 I. S. Zhitomirsky and A. A. Kagna Reply to letter by Jane Cronin (1982) 450--450 Anonymous Announcements . . . . . . . . . . . . . 451--452
Mathew Witten and David Siegel A kinetics model of abrin binding in a virus transformed lymphocyte cell culture . . . . . . . . . . . . . . . . 453--476 Aldo Rescigno and James S. Beck and H. Joseph Goren Determination of dependence of binding parameters on receptor occupancy . . . . 477--489 A. R. Bouffette and J. Bouffette Mathematical model for the study of fertility and viability in inbreeding populations . . . . . . . . . . . . . . 491--500 G. E. Tanyi Energy and biological evolution --- I. The equilibrium states of biochemical processes . . . . . . . . . . . . . . . 501--535 G. E. Tanyi Energy and biological evolution --- II. The mathematical structure of equilibrium states . . . . . . . . . . . 537--547 G. E. Tanyi Energy and biological evolution --- III. Theoretical ecology and macromolecular self-organization . . . . . . . . . . . 549--555 K. M. Mehata and D. Deivamoney Selvam A stochstic model for a two-compartment reversible system . . . . . . . . . . . 557--570 V. P. Shukla and P. C. Das Effects of dispersion on stability of multispecies prey--predator systems . . 571--578 F. Solimano and E. Beretta Graph theoretical criteria for stability and boundedness of predator--prey systems . . . . . . . . . . . . . . . . 579--585 Asha Seth Kapadia and Bayliss C. McInnis Distribution of survival times in the Fix and Neyman model . . . . . . . . . . 587--591 R. B. Campbell Repeatability of experiments . . . . . . 593--593 Matthew Witten A reply to ``Repeatability of experiments'' by R. B. Campbell . . . . 594--595
M. Zamir Local geometry of arterial branching . . 597--607 C. D. Thron Peak drug levels in linear pharmacokinetic systems --- III. Multimodal impulse responses in multicompartment systems . . . . . . . . 609--635 R. F. Stetson and W. A. Hogan Simulation of chemical oscillations in membranes . . . . . . . . . . . . . . . 637--645 Charles J. Mode and Robert C. Busby An eight-parameter model of human mortality --- The single decrement case 647--659 M. W. Warner Representations of $ (M, R) $-systems by categories of automata . . . . . . . . . 661--668 E. A. Marshall Equilibrium electropotentials in electrolyte systems . . . . . . . . . . 669--687 Matthew Witten Some thoughts on quantum non-demolition measurements in biological systems . . . 689--696 Hironori Hirata Evolution of a predator--prey Volterra--Lotka ecosystem with saturation effect . . . . . . . . . . . 697--704 Debajyoti Bhaumik and Binayak Dutta-Roy and Avijit Lahiri Solitary waves and macromolecular systems . . . . . . . . . . . . . . . . 705--713 F. Fogelman-Soulie and E. Goles-Chacc and G. Weisbuch Specific roles of the different boolean mappings in random networks . . . . . . 715--730 Grayson C. Brown and Gerald L. Nordin An epizootic model of an insect--fungal pathogen system . . . . . . . . . . . . 731--739 Dieter Schenzle On feedback control of gonadotropin secretion . . . . . . . . . . . . . . . 741--748
Gregory H. Paine The development of Lagrangians for biological models . . . . . . . . . . . 749--760 I. W. Richardson and E. A. D. Foster and S. Miekisz Nonlinear generalizations of the Kedem--Katchalsky equations for ionic fluxes . . . . . . . . . . . . . . . . . 761--775 V. V. Krishnan and E. I. Jury and L. Stark Biological optimality: Comparison of generalized feasibility and optimality conditions for linear, error-minimizing systems . . . . . . . . . . . . . . . . 777--791 G. W. Swan An optimal control model of \bionameDiabetes mellitus . . . . . . . 793--808 G. K. Agrafiotis On the stochastic theory of compartments: a semi-Markov approach for the analysis of the $K$-compartmental systems . . . . . . . . . . . . . . . . 809--817 Rachad M. Shoucri and Jean G. Dumesnil and Jacques Rouleau and Gilles R. Dagenais Some applications of the concept of body forces for the myocardium . . . . . . . 819--840 Nobuyoshi Tosaka and Shuhei Miyake Analysis of a nonlinear diffusion problem With Michaelis--Menten kinetics by an integral equation method . . . . . 841--849 Eric P. Salathé and Tseng-Chan Wang The development of anoxia following occlusion . . . . . . . . . . . . . . . 851--877 F. Andrietti and R. Pezzotta Diffusion along intercellular spaces: an analysis of a transient situation . . . 879--891 R. R. Burnside A note on exact solutions of two prey--predator equations . . . . . . . . 893--897 Anonymous Announcements . . . . . . . . . . . . . 899--900
L. R. Shenton A reinforcement depletion urn problem --- II. Application and generalization 1--9 Claude Lefevre On a simple epidemic model with a heterogeneous infective population . . . 11--20 P. Torkington Kinetics of deterrence of Gompertzian growth . . . . . . . . . . . . . . . . . 21--31 F. James Rohlf Numbering binary trees with labeled terminal vertices . . . . . . . . . . . 33--40 J. Perkkiö and R. Keskinen Hematocrit reduction in bifurcations due to plasma skimming . . . . . . . . . . . 41--50 F. G. Mosqueira A simple competition model involving selection . . . . . . . . . . . . . . . 51--67 Jacek T. Duniec and Sidney W. Thorne Electrostatic potentials in membrane systems . . . . . . . . . . . . . . . . 69--90 Debajyoti Bhaumik and Binaryak Dutta-Roy and Tarun Kumar Chaki and Avijit Lahiri Electric field dependence of phase transitions in bilayer lipid membranes and possible biological implications . . 91--101 P. L. Antonelli and B. H. Voorhees Non-linear growth mechanics --- I. Volterra--Hamilton systems . . . . . . . 103--116 H. A. Saroff and H. T. Pretorius The uniqueness of protein sequences. $o$-Uniqueness and infrequent peptides 117--138 Michael H. Brill Weber's law and perceptual categories: Another teleological view . . . . . . . 139--142 Chikafusa Bessho and Naoki Kuroda A note on a more general solution of Eigen's rate equation for selection . . 143--149
Gerald Rosen Theoretical significance of the condition $ \delta = 2 \mu $ in bacterial chemotaxis . . . . . . . . . . 151--153 A. M. Arthurs and W. M. Arthurs Pointwise bounds for the solution of a nonlinear problem in cell membrane theory . . . . . . . . . . . . . . . . . 155--168 R. J. Schilling A mathematical model of the effects of light on the eclosion rhythm of the fruit fly \bionameDrosophila pseudoobscura . . . . . . . . . . . . . 169--192 M. W. Warner Lattices and lattice-valued relations in biology . . . . . . . . . . . . . . . . 193--207 Linda J. S. Allen Persistence and extinction in single-species reaction--diffusion models . . . . . . . . . . . . . . . . . 209--227 J. E. Mann On stochastic models of light absorption 229--237 D. P. Atherton and D. A. Linkens Analysis of limit-cycle conditions in intercoupled relay oscillators with reference to gastrointestinal modelling 239--257 J. Perkko and R. Keskinen On the effect of the concentration profile of red cells on blood flow in the artery with stenosis . . . . . . . . 259--267 J. van Pelt and R. W. H. Verwer The exact probabilities of branching patterns under terminal and segmental growth hypotheses . . . . . . . . . . . 269--285 David Lurié and Jorge Wagensberg On biomass diversity in ecology . . . . 287--293
K. Gopalsamy Harmless delays in model systems . . . . 295--309 N. F. Britton and G. Joly and M.-C. Duban A model for hydranth regeneration in Tubularia . . . . . . . . . . . . . . . 311--321 B. R. Scott Theoretical models for estimating dose-effect relationships after combined exposure to cytotoxicants . . . . . . . 323--345 D. Kannan A Markov chain analysis of predator strategy in a model-mimic system . . . . 347--400 M. J. Faddy Compartmental models with restricted movement . . . . . . . . . . . . . . . . 401--408 T. Martonen On the fate of inhaled particles in the human: a comparison of experimental data with theoretical computations based on a symmetric and asymmetric lung . . . . . 409--424 Matthew Witten The diffusion process approach to one-compartmental stochastic models: a mathematical note . . . . . . . . . . . 425--430 V. Capasso and S. L. Paveri-Fontana Comments on statistical independence for linear stochastic multicompartmental systems . . . . . . . . . . . . . . . . 431--435 M. A. B. Deakin Reply to letter by Jane Cronin (1982) 436--436
Anonymous Foreword . . . . . . . . . . . . . . . . 437--437 C. DeLisi and M. Iannelli and G. Koch Introduction . . . . . . . . . . . . . . 439--442 A. V. Holden Stochastic processes in neurophysiology: Transformation from point to continuous processes . . . . . . . . . . . . . . . 443--465 Charles DeLisi Stochastic problems in information transfer across the plasma membrane . . 467--482 Wolfgang Kliemann Qualitative theory of stochastic dynamical systems --- Applications to life sciences . . . . . . . . . . . . . 483--506 Peter Jagers Stochastic models for cell kinetics . . 507--519 Takeo Maruyama Stochastic theory of population genetics 521--554 V. Capasso and S. L. Paveri-Fontana Analysis of the correlations for stochastic multicompartmental systems 555--569 Giovanni B. Di Masi and Wolfgang J. Runggaldier Non-linear filtering with discontinuous observations and applications to life sciences . . . . . . . . . . . . . . . . 571--577 Manfred Ehrhardt Invariant probabilities for systems in a random environment --- With applications to the Brusselator . . . . . . . . . . . 579--590 E. Pardoux Semi-linear stochastic models: Computation of moments and conditional moments . . . . . . . . . . . . . . . . 591--597 G. Da Prato On some abstract stochastic differential equations . . . . . . . . . . . . . . . 599--603 A. Bertuzzi and A. Gandolfi Recent views on the cell cycle structure 605--616 W. Rittgen Controlled branching processes and their applications to normal and malignant haematopoiesis . . . . . . . . . . . . . 617--626 G. Del Grosso and A. Gerardi and F. Marchetti Lateral diffusion and eigenvalue estimates . . . . . . . . . . . . . . . 627--634 Carlos A. Braumann Population growth in random environments 635--641 Hans A. J. Metz and Herman Dienske and Gerrit de Jonge and Felix A. Putters Continuous-time Markov chains as models for animal behaviour . . . . . . . . . . 643--658 Anonymous Tenth International Cell Cycle Conference . . . . . . . . . . . . . . . 659--659
P. Hiltmann and P. Lory On oxygen diffusion in a spherical cell with Michaelis--Menten oxygen uptake kinetics . . . . . . . . . . . . . . . . 661--664 Timothy F. Havel and Irwin D. Kuntz and Gordon M. Crippen The theory and practice of distance geometry . . . . . . . . . . . . . . . . 665--720 S. Parvathamma and Rathna Devanathan Microcontinuum approach to the pulsatile flow in tubes with and without longitudinal vibration . . . . . . . . . 721--737 Jang H. Youn and Hee C. Kim and Hong K. Lee and Byoung G. Min Computed insulin profiles for normalization of glycemia in diabetic patients . . . . . . . . . . . . . . . . 739--748 Jesper Larsen and Henrik Lund-Andersen and Bent Krogsaa Transient transport across the blood-retina barrier . . . . . . . . . . 749--758 Chuyan-Yih Lee Molecular mechanism of sodium conductance changes in nerve: The role of electron transfer and energy migration . . . . . . . . . . . . . . . 759--780 A. Muir and M. W. Warner The dynamics of symmetric nets . . . . . 781--792 V. P. Shukla Conditions for global stability of two-species population models with discrete time delay . . . . . . . . . . 793--805 Robert W. Bosserman Flow analysis sensitivities for models of energy or material flow . . . . . . . 807--826 John V. Huddleston Population dynamics with age- and time-dependent birth and death rates . . 827--836 Gerald Rosen Analytical solutions for distributions of chemotactic bacteria . . . . . . . . 837--847 Steven H. Bertz On the complexity of graphs and molecules . . . . . . . . . . . . . . . 849--855 V. K. Sud and H. E. Von Gierke and I. Kaleps and H. L. Oestreicher Effects of periodic accelerations on blood flow in arteries . . . . . . . . . 857--867 David Lurié and Joaquim Valls and Jorge Wagensberg Thermodynamic approach to biomass distribution in ecological systems . . . 869--872 Aldo Rescigno and James S. Beck and H. Joseph Goren Determination of dependence of binding parameters on receptor occupancy --- A correction . . . . . . . . . . . . . . . 873--874 Anonymous Announcements . . . . . . . . . . . . . 875--875
Yasuhiro Takeuchi and Norihiko Adachi Existence and bifurcation of stable equilibrium in two-prey, one-predator communities . . . . . . . . . . . . . . 877--900 Daniel S. Levine Bifurcating periodic solutions for a class of age-structured predator--prey systems . . . . . . . . . . . . . . . . 901--915 Francisco Lara Ochoa and J. D. Murray A non-linear analysis for spatial structure in a reaction--diffusion model 917--930 Roberto R. Kampfner and Michael Conrad Computational modeling of evolutionary learning processes in the brain . . . . 931--968 Roberto R. Kampfner and Michael Conrad Sequential behavior and stability properties of enzymatic neuron networks 969--980 Angelika Wörz-Busekros and Peter Lange Dynamics of a continuous culture with catalysis of the growth-limiting substrate by an enzyme of the cells . . 981--990 H. L. Freedman and V. Sree Hari Rao The trade-off between mutual interference and time lags in predator--prey systems . . . . . . . . . 991--1004 John K.-J. Li A new similarity principle for cardiac energetics . . . . . . . . . . . . . . . 1005--1011 Gordon M. Schoepfle and John T. Tarvin and Richard M. Martin Simulated tetanic hyperpolarization by sodium loading of a neuronal system in which active transport is linked to the Frankenhaeuser--Huxley equations . . . . 1013--1028 A. H. Louie Categorical system theory and the phenomenological calculus . . . . . . . 1029--1045 A. H. Louie Categorical system theory . . . . . . . 1047--1072 G. Monticelli and F. Celentano Further properties of the two-membrane model . . . . . . . . . . . . . . . . . 1073--1096 Anonymous Announcement . . . . . . . . . . . . . . 1097--1097
Martin Supnick On the measurement of shapes . . . . . . 1--10 P. Schuster and K. Sigmund Random selection --- A simple model based on linear birth and death processes . . . . . . . . . . . . . . . 11--17 D. Lauffenburger and C. R. Kennedy and R. Aris Traveling bands of chemotactic bacteria in the context of population growth . . 19--40 Jarl V. Hägglund and George Eisenman and John P. Sandblom Single-salt behavior of a symmetrical $4$-site channel with barriers at its middle and ends . . . . . . . . . . . . 41--80 Willem Kuyk A catastrophe theoretic model of heat regulation in homeothermic animals . . . 81--102 J. C. Misra and S. I. Singh Pulse wave velocities in the aorta . . . 103--114 M. A. Khanin and I. B. Bukharov A mathematical model of the pathological functional state of the oxygen transport system . . . . . . . . . . . . . . . . . 115--125 Akira Kamiya and Razaq Bukhari and Tatsuo Togawa Adaptive regulation of wall shear stress optimizing vascular tree function . . . 127--137 Grayson C. Brown Stability in an insect-pathogen model incorporating age-dependent immunity and seasonal host reproduction . . . . . . . 139--153 Basil C. Baltzis and A. G. Fredrickson Coexistence of two microbial populations competing for a renewable resource in a non-predator--prey system . . . . . . . 155--174 S. S. De Random predator-prey interactions in a varying environment: Extinction or survival . . . . . . . . . . . . . . . . 175--184 J. V. Huddleston Population dynamics with age- and time-dependent birth and death rates . . 185--185
Rosemarie Swanson A unifying concept for the amino acid code . . . . . . . . . . . . . . . . . . 187--203 A. J. Franko and H. I. Freedman Model of diffusion of oxygen to spheroids grown in stationary medium --- I. Complete spherical symmetry . . . . . 205--217 M. Sobel and S. R. Bernard and V. R. R. Uppuluri and C. W. Nestor Four-urn catenary model for excretion 219--227 D. C. Rees A general solution for the steady-state kinetics of immobilized enzyme systems 229--234 Gerald Rosen Stability of spatially heterogeneous steady-state distributions of oxygen-chemotactic aerobic/anaerobic bacteria . . . . . . . . . . . . . . . . 235--246 J. M. Bateman and T. R. Harris Capillary operators . . . . . . . . . . 247--268 P. Nandapurkar and V. Hlavacek Concentration-dependent diffusion coefficient and dissipative structures 269--282 J. Van Pelt and R. W. H. Verwer Cuttrees in the topological analysis of branching patterns . . . . . . . . . . . 283--294 James H. Case and Paul S. Fisher Long-term memory modules . . . . . . . . 295--326 William H. E. Day Properties of Levenshtein metrics on sequences . . . . . . . . . . . . . . . 327--332 Gerald Rosen Commensalism of methane-producing and motile aerobic bacteria in certain freshwater wetlands . . . . . . . . . . 333--336 Anonymous Announcement . . . . . . . . . . . . . . 337--337
Paul E. Phillipson and Peter Schuster and Fritz Kemler Dynamical machinery of a biochemical clock . . . . . . . . . . . . . . . . . 339--355 Thomas C. Gard Persistence in stochastic food web models . . . . . . . . . . . . . . . . . 357--370 Jon Reed and Nils C. Stenseth Evolution of cannibalism in an age-structured population . . . . . . . 371--377 Neal L. Oden and Kwang-Tsao Shao An algorithm to equiprobably generate all directed trees with $k$ labeled terminal nodes and unlabeled interior nodes . . . . . . . . . . . . . . . . . 379--387 Keith Horsfield and Alison Thurlbeck Computer simulation of the geometry of the human bronchial tree . . . . . . . . 389--398 H. K. Leung Stability analysis of a stochastic model for biomolecular selection . . . . . . . 399--406 J. Grasman The mathematical modeling of entrained biological oscillators . . . . . . . . . 407--422 Sarah J. Nelson A stochastic model of the effects of ionizing radiation on mammalian cells in vitro . . . . . . . . . . . . . . . . . 423--446 Raymond Leblanc and Gerald M. Lefebvre A stochastic model of bacterial spore germination . . . . . . . . . . . . . . 447--460
Anonymous Editorial: Software survey section . . . i--iv Hugo M. Martinez Foreword . . . . . . . . . . . . . . . . 461--465 Anonymous Margaret Oakley Dayhoff, 1925--1983 . . 467--472 Michael S. Waterman General methods of sequence comparison 473--500 Peter H. Sellers Pattern recognition in genetic sequences by mismatch density . . . . . . . . . . 501--514 M. S. Waterman and R. Arratia and D. J. Galas Pattern recognition in several sequences: Consensus and alignment . . . 515--527 Judith E. Dayhoff Distinguished words in data sequences: Analysis and applications to neural coding and other fields . . . . . . . . 529--543 Bruce C. Orcutt and Winona C. Barker Searching the protein sequence database 545--552 M. L. Fredman Algorithms for computing evolutionary similarity measures with length independent gap penalties . . . . . . . 553--566 Michael S. Waterman and Marcela D. Perlwitz Line geometries for sequence comparisons 567--577 Dan Davison and Keith H. Thompson A non-metric sequence alignment program 579--590 Michael Zuker and David Sankoff RNA secondary structures and their prediction . . . . . . . . . . . . . . . 591--621 Rosemarie Swanson A vector representation for amino acid sequences . . . . . . . . . . . . . . . 623--639 M. A. Jiménez-Montaño On the syntactic structure of protein sequences and the concept of grammar complexity . . . . . . . . . . . . . . . 641--659 H. A. Saroff The uniqueness of protein sequences. Uniqueness diagrams for the Dayhoff file --- 1984 . . . . . . . . . . . . . . . . 661--672 Timothy Havel and Kurt Wüthrich A distance geometry program for determining the structures of small proteins and other macromolecules from nuclear magnetic resonance measurements of intramolecular $^1$H--$^1$H proximities in solution . . . . . . . . 673--698 John R. Jungck and Robert M. Friedman Mathematical tools for molecular genetics data: an annotated bibliography 699--744
A. H. Louie and R. L. Somorjai Stieltjes integration and differential geometry: a model for enzyme recognition, discrimination, and catalysis . . . . . . . . . . . . . . . 745--764 Kevin G. Kirby and Michael Conrad The enzymatic neuron as a reaction--diffusion network of cyclic nucleotides . . . . . . . . . . . . . . 765--783 J. S. Clowes and G. D. Wassermann Genetic control theory of developmental events . . . . . . . . . . . . . . . . . 785--825 G. Avanzolini and A. Cappello The characteristics method applied to the study of muscle dynamics . . . . . . 827--844 C. C. Walker Beyond the binary case in random nets 845--857 Kazuaki Narita One-dimensional food chain equations and their generalization . . . . . . . . . . 859--868 W. Timischl Influence of landscape on the spread of an infection . . . . . . . . . . . . . . 869--877 H. G. Klinger A simple solution of the non-stationary heat transport problem in capillarized biological tissue . . . . . . . . . . . 879--889 L. E. Bobisud and C. J. Potratz Cannibalism in clumped populations . . . 891--901 José Argémi and Hél\`ene Chagneux and Christian Ducreux and Maurice Gola Qualitative study of a dynamical system for metrazol-induced paroxysmal depolarization shifts . . . . . . . . . 903--922 Ralph Stinebrickner $s$-Consensus trees and indices . . . . 923--935 V. K. Sud and G. S. Sekhon Blood flow subject to a single cycle of body acceleration . . . . . . . . . . . 937--949 Harry A. Saroff A note on the evaluation of similarity (homology) of short sequences with long sequences . . . . . . . . . . . . . . . 951--961 Gerald Rosen Characterizing conditions for generalized Verhulst logistic growth of a biological population . . . . . . . . 963--965 Gerald Rosen Comment on biomass diversity in ecology 967--969 Michael Conrad Physik der Selbstorganization und Evolution. (German) [Physics of self-organization and evolution] . . . . 971--972 Anonymous Announcements . . . . . . . . . . . . . 973--974
Anonymous Editorial: Software survey section . . . i--iv J. Honerkamp and G. Mutschler and R. Seitz Coupling of a slow and a fast oscillator can generate bursting . . . . . . . . . 1--21 G. C. Taylor Primitivity of products of Leslie matrices . . . . . . . . . . . . . . . . 23--34 V. K. Sud and G. S. Sekhon Arterial flow under periodic body acceleration . . . . . . . . . . . . . . 35--53 J. C. Misra and S. I. Singh Distribution of stresses in the left ventricular wall of the intact heart . . 53--70 S. E. D. Alian and D. A. Linkens Mode analysis of a tubular structure of coupled non-linear oscillators for digestive-tract modelling . . . . . . . 71--110 A. Giro and J. A. Padro and J. Valls and J. Wagensberg Monte Carlo simulation of an ecosystem: a matching between two levels of observation . . . . . . . . . . . . . . 111--122 Leonid I. Titomir and Peter Kneppo Simultaneous analysis of the cardiac electric and magnetic fields using the scalar multipole expansion . . . . . . . 123--143 N. Anderson and A. M. Arthurs Analytical bounding functions for diffusion problems with Michaelis--Menten kinetics . . . . . . . 145--153 Jean-Robert Derome Biomathematiques . . . . . . . . . . . . 155--155 T. F. Havel and I. D. Kuntz and B. Crippen The theory and practice of distance geometry . . . . . . . . . . . . . . . . 157--157
Anonymous Editorial: Software survey section . . . i--iv Hugo M. Martinez Editor's comments . . . . . . . . . . . 159--159 Anatol Rapoport Applications of game-theoretic concepts in biology . . . . . . . . . . . . . . . 161--192 Mary G. Leitnaker and Peter Purdue Non-linear compartmental systems: extensions of S. R. Bernard's urn model 193--204 K. O. Bowman and L. R. Shenton and S. R. Bernard Study of age dependent half-life of iodine in man: a reinforcement-depletion urn model . . . . . . . . . . . . . . . 205--213 William H. E. Day and F. R. McMorris A formalization of consensus index methods . . . . . . . . . . . . . . . . 215--229 H. K. Leung Expansion of the master equation for a biomolecular selection model . . . . . . 231--238 Lloyd Demetrius and Peter Schuster and Karl Sigmund Polynucleotide evolution and branching processes . . . . . . . . . . . . . . . 239--262 B. M. Pötscher Moments and order statistics of extinction times in multitype branching processes and their relation to random selection models . . . . . . . . . . . . 263--272 Michael J. Katz and Edwin B. George Fractals and the analysis of growth paths . . . . . . . . . . . . . . . . . 273--286 M.-P. Malice and C. Lefevre On linear stochastic compartmental models in discrete time . . . . . . . . 287--293 L. H. Erbe and H. I. Freedman Modeling persistence and mutual interference among subpopulations of ecological communities . . . . . . . . . 295--304 Ronald W. H. Verwer and Jaap Van Pelt Topological analysis of binary tree structures when occasional multifurcations occur . . . . . . . . . 305--316 Chun Chiang Depolarized potassium currents and time delay in nerve membrane . . . . . . . . 317--320 Anonymous Announcements . . . . . . . . . . . . . 321--321
Anonymous Editorial: Software survey section . . . i--iv J. Van Pelt and R. W. H. Verwer Growth models (including terminal and segmental branching) for topological binary trees . . . . . . . . . . . . . . 323--336 M. M. Domach and R. Armstrong and M. S. Jhon Cell mass concentration variance resulting from fluctuations in the incoming nutrient concentration to a chemostat . . . . . . . . . . . . . . . 337--342 John S. Nicolis and Ichiro Tsuda Chaotic dynamics of information processing: The ``magic number seven plus--minus two'' revisited . . . . . . 343--365 Peter Cariani and Narendra S. Goel On the computation of the tertiary structure of globular proteins --- IV. Use of secondary structure information 367--407 Michael A. B. Deakin and T. O. Neild and R. G. Turner The extension of two-dimensional cable theory to arteries and arterioles . . . 409--424 Ludvik Bass The unidirectional flux transient as a tool for quantifying parallel diffusional pathways through membranes. Exact solution for two pathways . . . . 425--434
Anonymous Editorial: Software survey section . . . i--iv Hugo M. Martinez Editor's comments . . . . . . . . . . . 435--435 Dan Davison Sequence similarity (`Homology') searching for molecular biologists . . . 437--474 A. Babloyantz and A. Bellemans Pattern regulation in reaction--diffusion systems --- the problem of size invariance . . . . . . . 475--487 Fortunata Solimano The existence of stable equilibria in Volterra predator--prey systems represented by loop graphs . . . . . . . 489--494 Hilmi Demiray Effects of twist on pulse waves in arteries . . . . . . . . . . . . . . . . 495--502 Herbert D. Landahl and Javier Garzón and Nancy M. Lee Mathematical modeling of opiate binding to mouse brain membrane . . . . . . . . 503--512 Mark F. Schumaker and W. Horsthemke The influence of internal fluctuations and external noise on the gene frequency in a haploid population . . . . . . . . 513--533 John Sourdis A method for numbering binary rooted and unrooted phylogenies and their hypothetical taxonomic units . . . . . . 535--543 K. Haldar Effects of the shape of stenosis on the resistance to blood flow through an artery . . . . . . . . . . . . . . . . . 545--550 Rajani R. Joshi On control of the function of the sodium-potassium pump in malignant cells 551--564 G. A. Ferron and B. Haider and W. G. Kreyling A method for the approximation of the relative humidity in the upper human airways . . . . . . . . . . . . . . . . 565--589
Anonymous Editorial: Software survey section . . . i--iv Anonymous Editorial: Software survey section . . . i--iv Charles J. Lumsden Hierarchical behavior in fit dynamical systems . . . . . . . . . . . . . . . . 591--612 H. S. Guha and T. K. Chaudhury Flow in an arteriosclerotic blood vessel with rigid permeable wall . . . . . . . 613--627 Sayuri Masui and Charles J. Lumsden A mathematical approach to semantic network development . . . . . . . . . . 629--650 J. M. Bateman Capillary operators --- II . . . . . . . 651--668 Mark H. Holmes A theoretical analysis for determining the nonlinear hydraulic permeability of a soft tissue from a permeation experiment . . . . . . . . . . . . . . . 669--683 B. J. Messinger-Rapport and Y. Rudy Effects of the torso boundary and internal conductivity interfaces in electrocardiography: an evaluation of the `Infinite medium' approximation . . 685--694
Anonymous Editorial: Software survey section . . . i--iv Hugo M. Martinez Editor's comments . . . . . . . . . . . 695--695 P. E. Kloeden and A. I. Mees Chaotic phenomena . . . . . . . . . . . 697--738 T. G. Hallam and M. N. Antonios An environ analysis for nonlinear compartment models . . . . . . . . . . . 739--748 Gordon M. Schoepfle and John T. Tarvin and Richard M. Martin Dependence of tetanic hyperpolarization on pump conductance in the cyanide-treated \bionameXenopus node . . 749--755 Peter R. Greene Stress-strain behavior for curved exponential strips . . . . . . . . . . . 757--764 S. N. Majhi and L. Usha A mathematical note on the Fahraeus--Lindqvist effect in power law fluid . . . . . . . . . . . . . . . . . 765--769 Jesus Lopez-Sanchez and Alberto Perez de Vargas Zygotic algebra for two linked loci with sexually different recombination rates 771--782 Angshutosh Khan and Debajyoti Bhaumik and Binayak Dutta-Roy The possible role of solitonic processes during A to B conformational changes in DNA . . . . . . . . . . . . . . . . . . 783--789 Milton Sobel and S. R. Bernard and V. R. R. Uppuluri On the distribution of the time required to remove white balls from an URN . . . 791--797 Anonymous Third International Summer School on Mathematical Modelling in Physiology and Clinical Medicine . . . . . . . . . . . 799--799
Anonymous Editorial: Software Survey Section . . . i--iv Jean-Pierre Boon and Brigitte Herpigny Model for chemotactic bacterial bands 1--19 Subhendu Ghosh and Anjali Mookerjee A model for cooperative ligand binding at complementary sites of DNA . . . . . 21--27 Alan M. Weinstein An equation for flow in the renal proximal tubule . . . . . . . . . . . . 29--57 Grant G. Thompson and W. Michael Booty and William J. Liss and Charles E. Warren An isoclinal approach to the comparative statics of biological communities . . . 59--75 Roger V. Jean An interpretation of Fujita's frequency diagrams in phyllotaxis . . . . . . . . 77--86 Gerald Rosen Existence of steady-state probability distributions in multilocus models for genotype evolution . . . . . . . . . . . 87--95 John K.-J. Li Dominance of geometric overelastic factors in pulse transmission through arterial branching . . . . . . . . . . . 97--103 Anonymous Seventeenth Annual Meeting of the Classification Society of North America 105--105
Anonymous Editorial: Software survey section . . . i--iv Willem Kuyk Servocontrol of the heart rate in homeothermic animals: On recognizing butterfly catastrophy models in biology 107--124 S. Pal and D. S. Pal Galerkin's finite element--Laplace transform technique to transient heat migration in human skin and subcutaneous tissues . . . . . . . . . . . . . . . . 125--136 Gary W. Harrison Multiple stable equilibria in a predator-prey system . . . . . . . . . . 137--148 R. Varón and A. Román and F. García and F. García Carmona Transient phase kinetics of activation of human plasminogen . . . . . . . . . . 149--166 Narendra S. Goel and Carlos F. Doggenweiler and Richard L. Thompson Simulation of cellular compaction and internalization in mammalian embryo development as driven by minimization of surface energy . . . . . . . . . . . . . 167--187 Michael S. Waterman and Jerrold R. Griggs Interval graphs and maps of DNA . . . . 189--195 J. Van Pelt and R. W. H. Verwer Topological properties of binary trees grown with order-dependent branching probabilities . . . . . . . . . . . . . 197--211 P. K. Tapaswi and A. K. Saha Pattern formation and morphogenesis: a reaction--diffusion model . . . . . . . 213--228 R. C. Duggan and A. M. Goodman Pointwise bounds for a nonlinear heat conduction model of the human head . . . 229--236 Anonymous 1986 Gordon Research Conference on Theoretical Biology and Biomathematics 237--237
Anonymous Editorial: Software survey section . . . i--iv William R. Greco and Michael C. Kohn Guest Editors' foreword . . . . . . . . 239--240 W. R. Greco The role of simulation in biomathematical modeling . . . . . . . . 241--251 Howard E. Skipper On mathematical modeling of critical variables in cancer treatment (goals: Better understanding of the past and better planning in the future) . . . . . 253--278 A. J. Coldman and J. H. Goldie A stochastic model for the origin and treatment of tumors containing drug-resistant cells . . . . . . . . . . 279--292 Daniel B. Menzel and Robert L. Wolpert Chemical carcinogenesis and toxicity models: Matching complexity to objectives . . . . . . . . . . . . . . . 293--307 Kenneth B. Bischoff Physiological pharmacokinetics . . . . . 309--322 Charles E. Donaghey Cell kinetics simulation languages . . . 323--336 Robert C. Jackson Kinetic simulation of anticancer drug effects on metabolic pathway fluxes: Two case studies . . . . . . . . . . . . . . 337--351 J. Courtland White Use of the circuit simulation program SPICE2 for analysis of the metabolism of anticancer drugs . . . . . . . . . . . . 353--380 G. W. Swan Cancer chemotherapy: Optimal control using the Verhulst--Pearl equation . . . 381--404 J. Mailen Kootsey Future directions in computer simulation 405--415 Michael C. Kohn Strategies for computer modeling . . . . 417--426 J. Mailen Kootsey and Michael C. Kohn and Michael D. Feezor and Glen R. Mitchell and Peter R. Fletcher SCoP: an interactive simulation control program for micro- and minicomputers . . 427--441 Carol M. Newton Conference retrospective: an appropriate modeling infrastructure for cancer research . . . . . . . . . . . . . . . . 443--452 Anonymous First Conference of the International Federation of Classification Societies 453--453
Anonymous Software survey section . . . . . . . . i--iv A. B. Roy and F. Solimano Global stability of partially closed food-chains with resources . . . . . . . 455--468 Joseph W. H. So and H. I. Freedman Persistence and global stability in a predator--prey model consisting of three prey genotypes with fertility differences . . . . . . . . . . . . . . 469--484 H. I. Freedman and K. Gopalsamy Global stability in time-delayed single-species dynamics . . . . . . . . 485--492 H. I. Freedman and G. S. K. Wolkowicz Predator-prey systems with group defence: The paradox of enrichment revisited . . . . . . . . . . . . . . . 493--508 K. M. Mehata and D. Deivamoney Selvam A class of general stochastic compartmental systems . . . . . . . . . 509--523 J. M. Bateman Heterogeneous organ models . . . . . . . 525--543 Charles J. Lumsden Receptors and functional linkage in membrane permeability: a quantum mechanical model . . . . . . . . . . . . 545--567 Charles B. Lawrence and Daniel A. Goldman and Robert T. Hood Optimized homology searches of the gene and protein sequence data banks . . . . 569--583 Yasuhiro Takeuchi Diffusion effect on stability of Lotka--Volterra models . . . . . . . . . 585--601 Stephen F. Altschul and Bruce W. Erickson Optimal sequence alignment using affine gap costs . . . . . . . . . . . . . . . 603--616 Stephen F. Altschul and Bruce W. Erickson A nonlinear measure of subalignment similarity and its significance levels 617--632 Stephen F. Altschul and Bruce W. Erickson Locally optimal subalignments using nonlinear similarity functions . . . . . 633--660 G. D. Wassermann The wiring-in of neural nets revisited 661--680 K. Gopalsamy Convergence in a resource-based competition system . . . . . . . . . . . 681--699 Robert Rosen Adaptability: The significance of variability from molecule to ecosystem 701--703
Lee Segel Editorial announcement . . . . . . . . . i--iii Anonymous Editorial: Software survey section . . . i--iv I. Richard Lapidus The forum . . . . . . . . . . . . . . . iii--iv John J. Tyson Book reviews . . . . . . . . . . . . . . iv--iv S. S. De Stochastic model of population growth and spread . . . . . . . . . . . . . . . 1--11 A. C. Ehresmann and J.-P. Vanbremeersch Hierarchical evolutive systems: a mathematical model for complex systems 13--50 Z. Liang and H. Hart Bayesian image processing of data from constrained source distributions --- I. Non-valued, uncorrelated and correlated constraints . . . . . . . . . . . . . . 51--74 H. Hart and Z. Liang Bayesian image processing of data from constrained source distributions --- II. Valued, uncorrelated and correlated constraints . . . . . . . . . . . . . . 75--91 Helmut Jürgensen and Aristid Lindenmayer Inference algorithms for developmental systems with cell lineages . . . . . . . 93--123 M. C. Baishya and C. G. Chakraborti Non-equilibrium fluctuation in Volterra--Lotka systems . . . . . . . . 125--131 Anonymous Announcements . . . . . . . . . . . . . 133--134
Lee A. Segel Editorial: Software survey section . . . i--iv Wolfgang Kliemann A stochastic dynamical model for the characterization of the geometrical structure of dendritic processes . . . . 135--152 Gerald M. Saidel and Evan D. Morris and Guy M. Chisolm III Transport of macromolecules in arterial wall in vivo: a mathematical model and analytical solutions . . . . . . . . . . 153--169 Ingrid Torrång and Allan Gut and Lena Holm-Rutili and Karl Johan Åbrink A probabilistic approach for evaluating a technique for an indirect monitoring of the capillary blood flow to the gastric parietal cells . . . . . . . . . 171--185 Rajani R. Joshi On reliability analysis of DNA repair systems . . . . . . . . . . . . . . . . 187--216 Erik Sjòntoft and Carsten Edmund \em In vivo determination of Young's modulus for the human cornea . . . . . . 217--232 Christoph Berding On the heterogeneity of reaction--diffusion generated pattern 233--252 Gerald Rosen Time delays produced by essential nonlinearity in population growth models 253--255
Anonymous Editorial: Software survey section . . . i--iv J. C. Misra and S. I. Singh A study on the non-linear flow of blood through arteries . . . . . . . . . . . . 257--277 K. Haldar Oscillatory flow of blood in a stenosed artery . . . . . . . . . . . . . . . . . 279--287 H. A. Erbay and S. Erbay and H. Demiray Pulse waves in prestressed arteries . . 289--305 Kazuaki Tarumi and Helmut Schwegler A nonlinear treatment of the protocell model by a boundary layer approximation 307--320 Ichiro Aoki Entropy balance of white-tailed deer during a winter night . . . . . . . . . 321--327 Richard P. Gosselin and Robert E. Gosselin The kinetics of solute clearance by a single tissue capillary of limited permeability: Explicit solutions of two models and their bounds . . . . . . . . 329--349 Akira Kamiya and Shinya Takeda and Masahiro Shibata Optimum capillary number for oxygen delivery to tissue in man . . . . . . . 351--361 Ronald W. H. Verwer and Jaap Van Pelt and André J. Noest Parameter estimation in topological analysis of binary tree structures . . . 363--378
Anonymous Editorial: Software survey section . . . i--iv H. D. Landahl and G. Gold and G. M. Grodsky Model of synthesis and release of insulin from rat islet $ \beta $-cells and the effect of pretreatment with tolbutamide . . . . . . . . . . . . . . 379--394 Bruce A. Luxon Solution of large compartmental models using numerical transform inversion . . 395--402 H. Westcott Vayo Model geometries for sickled erythrocytes . . . . . . . . . . . . . . 403--411 K. Horsfield and M. J. Woldenberg and C. L. Bowes Sequential and synchronous growth models related to vertex analysis and branching ratios . . . . . . . . . . . . . . . . . 413--429 E. Beretta and Y. Takeuchi Global stability of single-species diffusion Volterra models with continuous time delays . . . . . . . . . 431--448 Ichiro Aoki Entropy budgets of deciduous plant leaves and a theorem of oscillating entropy production . . . . . . . . . . . 449--460 William H. E. Day Computational complexity of inferring phylogenies from dissimilarity matrices 461--467 Barry R. Zeeberg and Henry N. Wagner, Jr. Analysis of three- and four-compartment models for in vivo radioligand-neuroreceptor interaction 469--486 Bernard J. Geurts and Frederik W. Wiegel Fractional exponential decay in the capture of ligands by randomly distributed traps in one dimension . . . 487--494 Henry C. Tuckwell and James A. Koziol Logistic population growth under random dispersal . . . . . . . . . . . . . . . 495--506 Robert P. McIntosh and Glenn Webb and James P. Keener and Joan L. Aron Book reviews . . . . . . . . . . . . . . 507--517
Anonymous Editorial: Software survey section . . . i--iv Y. Almirantis and G. Nicolis Morphogenesis in an asymmetric medium 519--530 Jorge Wagensberg and Joaquim Valls The [extended] maximum entropy formalism and the statistical structure of ecosystems . . . . . . . . . . . . . . . 531--538 Heinrich Reinhart and Holzhütter Hermann-Georg and Schuster Stefan A theoretical approach to the evolution and structural design of enzymatic networks; Linear enzymatic chains, branched pathways and glycolysis of erythrocytes . . . . . . . . . . . . . . 539--595 P. Tracqui and A. M. Perault-Staub and G. Milhaud and J. F. Staub Theoretical study of a two-dimensional autocatalytic model for calcium dynamics at the extracellular fluid-bone interface . . . . . . . . . . . . . . . 597--613 M. R. S. Kulenovi\'c and G. Ladas Linearized oscillations in population dynamics . . . . . . . . . . . . . . . . 615--627 Leah Edelstein-Keshet Evolution through group selection . . . 629--647 Anonymous International Conference on Mathematical Modelling in Science and Technology . . 649--649
Anonymous Editorial: Software survey section . . . i--iv M. Klanchar and J. M. Tarbell Modeling water flow through arterial tissue . . . . . . . . . . . . . . . . . 651--669 H. Roozen Equilibrium and extinction in stochastic population dynamics . . . . . . . . . . 671--696 V. P. Tyagi and M. Abbas An exact analysis for a solute transport, due to simultaneous dialysis and ultrafiltration, in a hollow-fibre artificial kidney . . . . . . . . . . . 697--717 H. D. Landahl Approximate solution for capillary exchange models with and without axial mixing . . . . . . . . . . . . . . . . . 719--727 Angshutosh Khan and Debajyoti Bhaumik and Binayak Dutta-Roy Charge trapping by solitions --- A possible transport mechanism in macromolecular systems . . . . . . . . . 729--735 Tom Head Formal language theory and DNA: an analysis of the generative capacity of specific recombinant behaviors . . . . . 737--759 Anonymous Book reviews . . . . . . . . . . . . . . 761--776 Jane Cronin Scanlon The forum . . . . . . . . . . . . . . . 777--777 E. R. Carson Announcements . . . . . . . . . . . . . 779--780
Lee A. Segel and Hugo M. Martinez Editorial . . . . . . . . . . . . . . . i--ii Anonymous Editorial: Software survey section . . . i--iv An-Shen Qi Multiple solutions of a model describing cancerous growth . . . . . . . . . . . . 1--17 Christopher Roy Illert and Daniela Reverberi Holography reveals the soft anatomy of ancient cephalopods . . . . . . . . . . 19--34 R. M. Shoucri A mathematical derivation of the P--V relation at end-systole . . . . . . . . 35--41 Michael Skondras RF-cell: a model for populations of randomly interconnected neurons . . . . 43--66 Paul Cull Stability of discrete one-dimensional population models . . . . . . . . . . . 67--75 Stephen F. Altschul and Bruce W. Erickson Significance levels for biological sequence comparison using non-linear similarity functions . . . . . . . . . . 77--92 R. P. Gosselin and R. E. Gosselin The kinetics of solute clearance by a single tissue capillary of limited permeability: Explicit solutions of two models and their bounds . . . . . . . . 93--94 Anonymous 1988 Gordon Conference on Theoretical Biology and Biomathematics . . . . . . . 95--95
Anonymous Software survey section . . . . . . . . i--iv Webb Miller and Eugene W. Myers Sequence comparison with concave weighting functions . . . . . . . . . . 97--120 Harold W. Lewis III and Narendra S. Goel and Richard L. Thompson Simulation of cellular compaction and internalization in mammalian embryo development --- II. Models for spherical embryos . . . . . . . . . . . . . . . . 121--142 F. Ventriglia Computational simulation of activity of cortical-like neural systems . . . . . . 143--185 Frank Guess and Matthew Witten On the incompatibility of Gompertz or Weibull survival dynamics with exponentially distributed individual lifespans . . . . . . . . . . . . . . . 187--192 A. T. Winfree and R. M. Feldman and Masatoshi Nei and David G. Stork Book reviews . . . . . . . . . . . . . . 193--207
Anonymous Software survey section . . . . . . . . i--iv L. Ferrante and G. Koch Identifiability of DNA distribution from flow cytometric data with cell debris 209--225 P. E. Rapp and R. A. Latta and A. I. Mees Parameter-dependent transitions and the optimal control of dynamical diseases 227--253 K. Toko and M. Nosaka and T. Fujiyoshi and K. Yamafuji and K. Ogata Periodic band pattern as a dissipative structure in ion transport systems with cylindrical shape . . . . . . . . . . . 255--288 Eric P. Salathe Mathematical studies of capillary-tissue exchange . . . . . . . . . . . . . . . . 289--311 Jacques Bélair and Leon Glass and Donald C. Mikulecky and Carl Hirschie Johnson and C. Van den Broeck and Lev Ginzburg Book reviews . . . . . . . . . . . . . . 313--328
Anonymous Software survey section . . . . . . . . i--iv Dulal Pal and N. Rudraiah and Rathna Devanathan A couple stress model of blood flow in the microcirculation . . . . . . . . . . 329--344 Gerald Rosen HIV spread in the San Francisco cohort: Scaling of the effective logistic rate for seropositivity . . . . . . . . . . . 345--349 Jia Li Persistence in discrete age-structured population models . . . . . . . . . . . 351--366 \vS. Balá\vz and E. \vSturdík and J. Augustín Subcellular distribution of compounds in biosystems . . . . . . . . . . . . . . . 367--378 David J. Wollkind and John B. Collings and Jesse A. Logan Metastability in a temperature-dependent model system for predator--prey mite outbreak interactions on fruit trees . . 379--409 G. B. Ermentrout and Kamil A. Grajski Book reviews . . . . . . . . . . . . . . 411--419 Anonymous Announcements . . . . . . . . . . . . . 421--422
Anonymous Software survey section . . . . . . . . i--iv Barry R. Zeeb\`erg and Ralph C. Reid and Katherine A. Murphy and Richard C. Reba Theoretical effects of radioligand diffusional gradients and microscopic neuroreceptor distribution in in vivo kinetic studies . . . . . . . . . . . . 423--444 J. Wagensberg and J. Valls and J. Bermudez Biological adaptation and the mathematical theory of information . . . 445--464 Nikola Samardzija and Larry D. Greller Explosive route to chaos through a fractal torus in a generalized Lotka--Volterra model . . . . . . . . . 465--491 S. McKee and G. W. Gould A simple mathematical model of the thermal death of microorganisms . . . . 493--501 H. R. Akçakaya and L. R. Ginzburg and D. Slice and L. B. Slobodkin The theory of population dynamics --- II. Physiological delays . . . . . . . . 503--515 H. I. Freedman and Quan Hongshun Interactions leading to persistence in predator--prey systems with group defence . . . . . . . . . . . . . . . . 517--530 Geoffrey K. Aldis The unstirred layer during osmotic flow into a tubule . . . . . . . . . . . . . 531--545 Geoffrey K. Aldis The osmotic permeability of a tubule wall . . . . . . . . . . . . . . . . . . 547--558 Xu Nan and Xu Jinghua The fractal dimension of EEG as a physical measure of conscious human brain activities . . . . . . . . . . . . 559--565 G. B. Ermentrout Book reviews . . . . . . . . . . . . . . 567--576 Anonymous Critical issues in tumor microcirculation, angiogenesis and metastasis . . . . . . . . . . . . . . . 577--577
Anonymous Editorial: Software survey section . . . i--iv Lee A. Segel On the validity of the steady state assumption of enzyme kinetics . . . . . 579--593 Bertrand S. Clarke and Jay E. Mittenthal and Phillip A. Arcuri An extremal criterion for epimorphic regeneration . . . . . . . . . . . . . . 595--634 Peter Schuster and Jörg Swetina Stationary mutant distributions and evolutionary optimization . . . . . . . 635--660 Vered Barenholz-Paniry and Jacob S. Ishay and Zvi Grossman Rhythmic signalling and entrainment in \bionameVespa orientalis larvae: Characterization of the underlying interactions . . . . . . . . . . . . . . 661--679 Istvan Gyori and Seth Michelson and John Leith Time-dependent subpopulation induction in heterogeneous tumors . . . . . . . . 681--696 John A. Jacquez and J. H. M. Thornley Book reviews . . . . . . . . . . . . . . 697--700 Anonymous The Society for Mathematical Biology is pleased to announce an Annual Best Paper Award of \$1000 . . . . . . . . . . . . 701--701
Anonymous Editorial: Software survey section . . . i--iv Michael S. Waterman Foreword . . . . . . . . . . . . . . . . 1--4 Eugene W. Myers and Webb Miller Approximate matching of regular expressions . . . . . . . . . . . . . . 5--37 Ivan E. Auger and Charles E. Lawrence Algorithms for the optimal identification of segment neighborhoods 39--54 M. Zuker and R. L. Somorjai The alignment of protein structures in three dimensions . . . . . . . . . . . . 55--78 Gary A. Churchill Stochastic models for heterogeneous DNA sequences . . . . . . . . . . . . . . . 79--94 Simon Tavaré and Brenda Song Codon preference and primary sequence structure in protein-coding regions . . 95--115 David Sankoff and Martin Goldstein Probabilistic models of genome shuffling 117--124 R. Arratia and L. Gordon Tutorial on large deviations for the binomial distribution . . . . . . . . . 125--131 H.-J. Bandelt and A. W. M. Dress Weak hierarchies associated with similarity measures --- An additive clustering technique . . . . . . . . . . 133--166 Vincent Ferretti and David Sankoff A continuous analog for RNA folding . . 167--171 Peter L. Easthope and Timothy F. Havel Computational experience with an algorithm for tetrangle inequality bound smoothing . . . . . . . . . . . . . . . 173--194
Anonymous Editorial: Software survey section . . . i--iv Eduardo Mizraji Context-dependent associations in linear distributed memories . . . . . . . . . . 195--205 Kazuaki Tarumi and Ekkehard Mueller Wavelength selection mechanism in the Gierer--Meinhardt model . . . . . . . . 207--216 Rob J. De Boer and Pauline Hogeweg Stability of symmetric idiotypic networks --- a critique of Hoffmann's analysis . . . . . . . . . . . . . . . . 217--222 Rob J. De Boer and Pauline Hogeweg Memory but no suppression in low-dimensional symmetric idiotypic networks . . . . . . . . . . . . . . . . 223--246 Henri Atlan Automata network theories in immunology: Their utility and their underdetermination . . . . . . . . . . . 247--253 I. Dvo\vrák and J. \vSi\vska Analysis of metabolic systems with complex slow and fast dynamics . . . . . 255--274 Göran O. Superber An alternative procedure for calculating glucose consumption from $2$-deoxyglucose uptake . . . . . . . . 275--286 F. C. Hoppensteadt and John Ross and Bruce Wallace Book reviews . . . . . . . . . . . . . . 287--291
Anonymous Editorial: Software survey section . . . i--iv Gabriel K. Y. Lam Analysis of interaction for mixtures of agents using the linear isobole . . . . 293--309 Ma Zhien and Song Baojun and Thomas G. Hallam The threshold of survival for systems in a fluctuating environment . . . . . . . 311--323 Mónica C. Regalbuto and William Strieder and Arvind Varma Upper and lower bounds from the maximum principle. Intracellular diffusion with Michaelis--Menten kinetics . . . . . . . 325--335 Y. Yeshurun and Z. Wollberg and N. Dyn Prediction of linear and non-linear responses of MGB neurons by system identification methods . . . . . . . . . 337--346 K. H. Norwich and C. N. L. Seburn and E. Axelrad An informational approach to reaction times . . . . . . . . . . . . . . . . . 347--358 Bernard J. Geurts Diffusion limited immunochemical sensing 359--379 Rob J. De Boer and Pauline Hogeweg Unreasonable implications of reasonable idiotypic network assumptions . . . . . 381--408 W. M. Schaffer and G. A. Fox Plant strategies and the dynamics and structure of plant communities . . . . . 409--411 Anonymous The Third World Conference on Mathematics at the Service of Man . . . 413--413
Anonymous Editorial: Software survey section . . . i--iv Lee A. Segel Editorial: Viewpoint . . . . . . . . . . 415--415 E. N. Trifonov The multiple codes of nucleotide sequences . . . . . . . . . . . . . . . 417--432 Gábor Horváth Description of the birch leaf roller's incisions for different leaves . . . . . 433--447 Si-shen Feng and Richard Skalak and Shu Chien Velocity distribution on the membrane of a tank-treading red blood cell . . . . . 449--465 Sonja Sandberg and Tamara E. Awerbuch Mathematical formulation and studies of the risk parameters involved in HIV transmission . . . . . . . . . . . . . . 467--474 Rachad M. Shoucri and Jacques R. Rouleau and John G. Kingma, Jr. and Jean G. Dumesnil and Gilles R. Dagenais Some applications of the P--V relation to the study of left ventricular performance . . . . . . . . . . . . . . 475--484 Tamiki Umeda A mathematical model for cell sorting, migration and shape in the slug stage of \bionameDictyostelium discoideum . . . . 485--500 H. Nakajima and D. L. DeAngelis Resilience and local stability in a nutrient-limited resource-consumer system . . . . . . . . . . . . . . . . . 501--510 J. van Pelt and R. W. H. Verwer and H. B. M. Uylings Centrifugal-order distributions in binary topological trees . . . . . . . . 511--536 G. B. Ermentrout and Steven H. Strogatz and Jeffrey C. Long Book reviews . . . . . . . . . . . . . . 537--544 Anonymous Announcement . . . . . . . . . . . . . . 545--546
Anonymous Editorial: Software survey section . . . i--iv Lee A. Segel Editorial . . . . . . . . . . . . . . . 547--547 Kemble Yates and Edward Pate A cascading development model for amphibian embryos . . . . . . . . . . . 549--578 M. E. Wise and G. J. J. M. Borsboom Two exceptional sets of physiological clearance curves and their mathematical form: Test cases? . . . . . . . . . . . 579--596 Jotun J. Hein An optimal algorithm to reconstruct trees from additive distance data . . . 597--603 André Longtin and John G. Milton Modelling autonomous oscillations in the human pupil light reflex using non-linear delay-differential equations 605--624 Craig Steven Peters and Marc Mangel and R. F. Costantino Stationary distribution of population size in Tribolium . . . . . . . . . . . 625--638 Norman Kaplan and Michael A. Savageau and Ethan Akin and John J. Tyson and Bruce Wallace and Robert Rosen Book reviews . . . . . . . . . . . . . . 639--655
Anonymous Editorial: Software survey section . . . i--iv Fred L. Bookstein and Richard A. Reyment Microevolution in Miocene \bionameBrizalina (foraminifera) studied by canonical variate analysis and analysis of landmarks . . . . . . . . . 657--679 Colin J. Thompson and J. B. McGuire On limits to perception and pattern recognition . . . . . . . . . . . . . . 681--686 J. M. Cushing and Jia Li On Ebenman's model for the dynamics of a population with competing juveniles and adults . . . . . . . . . . . . . . . . . 687--713 John L. Spouge and Scott P. Layne and Micah Dembo Analytic results for quantifying HIV infectivity . . . . . . . . . . . . . . 715--730 S. Michelson and K. Ito and H. T. Tran and J. T. Leith Stochastic models for subpopulation emergence in heterogeneous tumors . . . 731--747 James Sneyd and Daniel Tranchina Phototransduction in cones: an inverse problem in enzyme kinetics . . . . . . . 749--784 Emilia Gutierrez and Helena Almirall Temporal properties of some biological systems and their fractal attractors . . 785--800 Fern Hunt and G. B. Ermentrout and Layne T. Watson and Marek Kimmel Book reviews . . . . . . . . . . . . . . 801--809
Anonymous Editorial: Software survey section . . . i--iv Marc Mangel Preface . . . . . . . . . . . . . . . . 1--1 John Rinzel Discussion: Electrical excitability of cells, theory and experiment: Review of the Hodgkin--Huxley foundation and an update . . . . . . . . . . . . . . . . . 3--23 A. L. Hodgkin and A. F. Huxley A quantitative description of membrane current and its application to conduction and excitation in nerve . . . 25--71 Jack D. Cowan Discussion: McCulloch--Pitts and related neural nets from 1943 to 1989 . . . . . 73--97 Warren S. McCulloch and Walter Pitts A logical calculus of the ideas immanent in nervous activity . . . . . . . . . . 99--115 J. D. Murray Discussion: Turing's theory of morphogenesis --- Its influence on modelling biological pattern and form 117--152 A. M. Turing The Chemical Basis of Morphogenesis . . 153--197 William B. Provine Discussion: Population genetics . . . . 199--207 J. B. S. Haldane A mathematical theory of natural and artificial selection --- I . . . . . . . 209--240 Sewall Wright Evolution in Mendelian populations . . . 241--295 R. A. Fisher On the dominance ratio . . . . . . . . . 297--318 Douglas A. Lauffenburger and R. Allen White and Donald L. DeAngelis and George Kampis and Eberhard O. Voit and Steven Vogel and Marc Mangel and Markus Loeffler Book reviews . . . . . . . . . . . . . . 319--334 Anonymous SIAM 1990 Annual Meeting and Short Course 15--20 July 1990 Hyatt Regency Hotel, Chicago, IL . . . . . . . . . . . 335--337
Anonymous Editorial: Software survey section . . . i--iv Henri Atlan and Moshe Koppel The cellular computer DNA: Program or data . . . . . . . . . . . . . . . . . . 335--348 Ingrid Rinsma and Michael Hendy and David Penny Distribution of the number of matches between nucleotide sequences . . . . . . 349--358 Osamu Gotoh Optimal sequence alignment allowing for long gaps . . . . . . . . . . . . . . . 359--373 V. A. A. Jansen and R. M. Nisbet and W. S. C. Gurney Generation cycles in stage structured populations . . . . . . . . . . . . . . 375--396 F. Ventriglia Activity in cortical-like neural systems: Short-range effects and attention phenomena . . . . . . . . . . 397--429 L. Allison and C. N. Yee Minimum message length encoding and the comparison of macromolecules . . . . . . 431--453 Betty Tang and Michael S. Waterman The expected fraction of clonable genomic DNA . . . . . . . . . . . . . . 455--475 Robert Rosen and W. Horsthemke and Calvin J. Ribbens Book reviews . . . . . . . . . . . . . . 477--482 Anonymous Announcements . . . . . . . . . . . . . 483--484
Anonymous Editorial: Software survey section . . . i--iv Peter F. Stadler and Peter Schuster Dynamics of small autocatalytic reaction networks --- I. Bifurcations, permanence and exclusion . . . . . . . . . . . . . 485--508 Osamu Gotoh Consistency of optimal sequence alignments . . . . . . . . . . . . . . . 509--525 Fima C. Klebaner Conditions for the unlimited growth in multitype population size dependent Galton--Watson processes . . . . . . . . 527--534 Johan Grasman A deterministic model of the cell cycle 535--547 J. A. Adam and S. A. Maggelakis Diffusion regulated growth characteristics of a spherical prevascular carcinoma . . . . . . . . . 549--582 Daniel Goodman and William J. Reed and L. David Roper and John J. Tyson Book reviews . . . . . . . . . . . . . . 583--596
Anonymous Editorial: Software survey section . . . i--iv Nigel R. Franks and Steve Bryant and Richard Griffiths and Lia Hemerik Synchronization of the behaviour within nests of the ant \bionameLeptothorax acervorum (Fabricius) --- I. Discovering the phenomenon and its relation to the level of starvation . . . . . . . . . . 597--612 Lia Hemerik and Nick F. Britton and N. R. Franks Synchronization of the behaviour within nests of the ant \bionameLeptothorax acervorum (Fabricius) --- II. Modelling the phenomenon and predictions from the model . . . . . . . . . . . . . . . . . 613--628 Ronald W. H. Verwer and Jaap Van Pelt Analysis of binary trees when occasional multifurcations can be considered as aggregates of bifurcations . . . . . . . 629--641 Nils A. Òristland Starvation survival and body composition in mammals with particular reference to \bionameHomo sapiens . . . . . . . . . . 643--655 Eberhard O. Voit and Pon N. Yi Comparison of isoeffect relationships in radiotherapy . . . . . . . . . . . . . . 657--675 Stavros Busenberg and S. Kishore Kumar and Paul Austin and Graeme Wake The dynamics of a model of a plankton-nutrient interaction . . . . . 677--696 John J. Tyson and Heike Schuster and Martin Gerhardt and Prem Ponka and Greg Krukonis and Susanne Schwinning and James P. Keener Book reviews . . . . . . . . . . . . . . 697--708 Anonymous 1st European Conference on Mathematics Applied to Biology and Medicine . . . . 709--709
Anonymous Editorial: Software survey section . . . i--iv Steven J. Neumann and Scott A. Berceli and Eva M. Sevick and A. Michael Lincoff and ViJay S. Warty and Arthur M. Brant and Ira M. Herman and Harvey S. Borovetz Experimental determination and mathematical model of the transient incorporation of cholesterol in the arterial wall . . . . . . . . . . . . . 711--732 Jorge Wagensberg and Ambrosio Garcia and Ricard V. Sole Connectivity and information transfer in flow networks: Two magic numbers in ecology? . . . . . . . . . . . . . . . . 733--740 Didier G. Arqu\`es and Christian J. Michel A model of DNA sequence evolution . . . 741--772 R. F. Mott and T. B. L. Kirkwood and R. N. Curnow An accurate approximation to the distribution of the length of the longest matching word between two random DNA sequences . . . . . . . . . . . . . 773--784 F. Solimano and G. I. Bischi and M. Bianchi and L. Rossi and M. Magnani A nonlinear three-compartiment model for the administration of 2',3'-dideoxycytidine by using red blood cells as bioreactors . . . . . . . . . . 785--796 Leah Edelstein-Keshet and Vassiliki Betty Smocovitis and Joel Keizer Book reviews . . . . . . . . . . . . . . 797--805
Anonymous Editorial: Software survey section . . . i--iii Roy M. Anderson Discussion: The Kermack--McKendrick epidemic threshold theorem . . . . . . . 1--32 W. O. Kermack and A. G. McKendrick Contributions to the mathematical theory of epidemics --- I . . . . . . . . . . . 33--55 W. O. Kermack and A. G. McKendrick Contributions to the mathematical theory of epidemics --- II. The problem of endemicity . . . . . . . . . . . . . . . 57--87 W. O. Kermack and A. G. McKendrick Contributions to the mathematical theory of epidemics --- III. Further studies of the problem of endemicity . . . . . . . 89--118 Catherine A. Toft and Marc Mangel Discussion: From individuals to ecosystems; the papers of Skellam, Lindeman and Hutchinson . . . . . . . . 119--134 J. G. Skellam Random dispersal in theoretical populations . . . . . . . . . . . . . . 135--165 Raymond L. Lindeman The trophic-dynamic aspect of ecology 167--191 G. Evelyn Hutchinson Population studies: Animal ecology and demography . . . . . . . . . . . . . . . 193--213 William J. Reed Discussion: Bioeconomics. An essay on the classic papers of H. Scott Gordon, Milner B. Schaefer and Harold Hotelling 215--229 H. Scott Gordon The economic theory of a common-property resource: The fishery . . . . . . . . . 231--252 Milner B. Schaefer Some aspects of the dynamics of populations important to the management of the commercial marine fisheries . . . 253--279 Harold Hotelling The economics of exhaustible resources 281--312 George Némethy and Michael Conrad and Michael Ruse and Robert Rosen and G. B. Ermentrout Book reviews . . . . . . . . . . . . . . 313--326 Anonymous Resource management and behavioural ecology: a Conference in Celebration of the 60th Birthday of Colin Clark, 24--26 July 1991, University of British Columbia, Vancouver, B.C. . . . . . . . 327--327
Steven Jaffe Autocatalytic membrane conductance and memory . . . . . . . . . . . . . . . . . 327--343 Liaofu Luo and Hong Li The statistical correlation of nucleotides in protein-coding DNA sequences . . . . . . . . . . . . . . . 345--353 Bernard Derrida and Luca Peliti Evolution in a flat fitness landscape 355--382 C. D. Thron The secant condition for instability in biochemical feedback control --- I. The role of cooperativity and saturability 383--401 C. D. Thron The secant condition for instability in biochemical feedback control --- II. Models with upper Hessenberg Jacobian matrices . . . . . . . . . . . . . . . . 403--424 Gábor Horváth and Dezsö Varjú On the structure of the aerial visual field of aquatic animals distorted by refraction . . . . . . . . . . . . . . . 425--441 Larry S. Liebovitch and Tibor I. Tóth Distributions of activation energy barriers that produce stretched exponential probability distributions for the time spent in each state of the two state reaction $ A \rightleftharpoons B $ . . . . . . . . . 443--455 Roman R. Poznanski A generalized tapering equivalent cable model for dendritic neurons . . . . . . 457--467 Bärbel M. R. Stadler and Peter F. Stadler Small autocatalytic reaction networks --- III. Monotone growth functions . . . 469--485 Marek Kimmel and David Axelrod and G. B. Ermentrout and Frank Stewart and Khidir W. Hilu and Lee A. Segel and Joan L. Aron and Norman C. Gilinsky Book reviews . . . . . . . . . . . . . . 487--503
William J. Nowack and George C. Theodoridis The thalamocortical contribution to epilepsy . . . . . . . . . . . . . . . . 505--523 V. P. Saxena and Kamal Raj Pardasani Effect of dermal tumours on temperature distribution in skin with variable blood flow . . . . . . . . . . . . . . . . . . 525--536 Y. Aumann and H. Parnas Evaluation of the time course of neurotransmitter release from the measured PSC and MPSC . . . . . . . . . 537--555 Hiromi Seno Predator's invasion into an isolated patch with spatially heterogeneous prey distribution . . . . . . . . . . . . . . 557--577 Alicia L. Carriquiry and William P. Ireland and Wolfgang Kliemann and Etsuro Uemura Statistical evaluation of dendritic growth models . . . . . . . . . . . . . 579--589 S. B. Charnick and E. S. Fisher and D. A. Lauffenburger Computer simulations of cell-target encounter including biased cell motion toward targets: Single and multiple cell-target simulations in two dimensions . . . . . . . . . . . . . . . 591--621 Edward D. Weinberger Spatial stability analysis of Eigen's quasispecies model and the less than five membered hypercycle under global population regulation . . . . . . . . . 623--638 Seth Michelson and John Leith Autocrine and paracrine growth factors in tumor growth: a mathematical model 639--656 John J. Jeka and J. A. S. Kelso and Raymond Kapral and William Troy and Tim Sauer Book reviews . . . . . . . . . . . . . . 657--663
Rudolf M. Dünki The estimation of the Kolmogorov entropy from a time series and its limitations when performed on EEG . . . . . . . . . 665--678 F. R. McMorris and R. C. Powers Consensus weak hierarchies . . . . . . . 679--684 Lorenzo Cazzador Analysis of oscillations in yeast continuous cultures by a new simplified model . . . . . . . . . . . . . . . . . 685--700 P. K. Maini and M. R. Myerscough and K. H. Winter and J. D. Murray Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation . . . . . 701--719 Roseanne M. Ford and Douglas A. Lauffenburger Analysis of chemotactic bacterial distributions in population migration assays using a mathematical model applicable to steep or shallow attractant gradients . . . . . . . . . . 721--749 Brian K. Davis Variations in polymer fitness at elevated mutation rates . . . . . . . . 751--768 W. Glunt and T. L. Hayden and Wei-Min Liu The embedding problem for predistance matrices . . . . . . . . . . . . . . . . 769--796 Tim Sauer and Peter Richter and William J. Floyd and Brian Storrie Book reviews . . . . . . . . . . . . . . 797--804
Wayne M. Getz A neural network for processing olfactory-like stimuli . . . . . . . . . 805--823 S. R. Thomas Effect of varying salt and urea permeabilities along descending limbs of Henle in a model of the renal medullary urine concentrating mechanism . . . . . 825--843 Gerald Rosen Rook's tour representation of the genetic code . . . . . . . . . . . . . . 845--851 David J. Balding and David C. Torney Statistical analysis of DNA fingerprint data for ordered clone physical mapping of human chromosomes . . . . . . . . . . 853--879 M. A. Lewis and P. Grindrod One-way blocks in cardiac tissue: a mechanism for propagation failure in Purkinje fibres . . . . . . . . . . . . 881--899 Jyh-Ping Hsu and Tsue-Hwa Chen A kinetic analysis of the germination of fungal spores . . . . . . . . . . . . . 901--909 Jianguo Wu and John L. Vankat A system dynamics model of island biogeography . . . . . . . . . . . . . . 911--940 Leah Edelstein-Keshet and G. B. Ermentrout and James R. Griesemer Book reviews . . . . . . . . . . . . . . 941--951 Anonymous 3rd International Conference on Mathematical Population Dynamics 1--5 June 1992, University of Pau, France . . 953--953
Bertrand S. Clarke and Jay E. Mittenthal Modularity and reliability in the organization of organisms . . . . . . . 1--20 Avidan U. Neumann and Gérard Weisbuch Window automata analysis of population dynamics in the immune system . . . . . 21--44 E. Olofsen and J. Degoede and R. Heijungs A maximum likelihood approach to correlation dimension and entropy estimation . . . . . . . . . . . . . . . 45--58 Richard Mott Maximum-likelihood estimation of the statistical distribution of Smith--Waterman local sequence similarity scores . . . . . . . . . . . 59--75 M. R. Myerscough and J. D. Murray Analysis of propagating pattern in a chemotaxis system . . . . . . . . . . . 77--94 Alan Y. K. Wong and Alexandre Fabiato and James B. Bassingthwaighthe Model of calcium-induced calcium release mechanism in cardiac cells . . . . . . . 95--116 J. R. Lobry and J. P. Flandrois and G. Carret and A. Pave Monod's bacterial growth model revisited 117--122 F. M. Phelps IV Optimal sex ratio as a function of EGG incubation temperature in the crocodilians . . . . . . . . . . . . . . 123--148 Daniel Goodman and Robert Rosen and W. M. Schaffer Book reviews . . . . . . . . . . . . . . 149--161
Gordon R. Munro Mathematical bioeconomics and the evolution of modern fisheries economics 163--184 William J. Reed and Hector Echavarría Heras The conservation and exploitation of vulnerable resources . . . . . . . . . . 185--207 Spiro E. Stefanou and James E. Wilen License values in restricted access fisheries . . . . . . . . . . . . . . . 209--218 Jon M. Conrad A bioeconomic model of the Pacific whiting . . . . . . . . . . . . . . . . 219--239 David A. Levy and Chris C. Wood Review of proposed mechanisms for sockeye salmon population cycles in the Fraser River . . . . . . . . . . . . . . 241--261 Ray Hilborn and Robert B. Kennedy Spatial pattern in catch rates: a test of economic theory . . . . . . . . . . . 263--273 Louis W. Botsford Further analysis of Clark's delayed recruitment model . . . . . . . . . . . 275--293 Veijo Kaitala and Wayne M. Getz Sex ratio genetics and the competitiveness of parasitic wasps . . . 295--311 Bart T. De Stasio, Jr. and Nelson G. Hairston, Jr. Environmental variability and the persistence of multiple emergence strategies . . . . . . . . . . . . . . . 313--334 Karen Price Territorial bequeathal by red squirrel mothers: a dynamic model . . . . . . . . 335--354 John M. McNamara and Alasdair I. Houston Risk-sensitive foraging: a review of the theory . . . . . . . . . . . . . . . . . 355--378 Constantinos Goutis and David W. Winkler Hungry chicks and mortal parents: a state-variable approach to the breeding seasons of birds . . . . . . . . . . . . 379--400 Bernard D. Roitberg and W. G. Friend A general theory for host seeking decisions in mosquitoes . . . . . . . . 401--412 Marc Mangel Rate maximizing and state variable theories of diet selection . . . . . . . 413--422 Michael Mesterton-Gibbons On the iterated prisoner's dilemma in a finite population . . . . . . . . . . . 423--443 Jin Yoshimura and William M. Shields Components of uncertainty in clutch-size optimization . . . . . . . . . . . . . . 445--464 A. I. Houston and J. M. McNamara and H. C. J. Godfray The effect of variability on host feeding and reproductive success in parasitoids . . . . . . . . . . . . . . 465--476
Jerry Nedelman and Patrick Heagerty and Chip Lawrence Quantitative PCR: Procedures and precisions . . . . . . . . . . . . . . . 477--502 J. M. Cushing and Jia Li Intra-specific competition and density dependent juvenile growth . . . . . . . 503--519 Michael Schöniger and Michael S. Waterman A local algorithm for DNA sequence alignment with inversions . . . . . . . 521--536 Alan M. Weinstein Analysis of volume regulation in an epithelial cell model . . . . . . . . . 537--561 S. C. Chan and A. K. C. Wong and D. K. Y. Chiu A survey of multiple sequence comparison methods . . . . . . . . . . . . . . . . 563--598 Eugene W. Myers and Xiaoqiu Huang An $ O(N^2 \log N) $ restriction map comparison and search algorithm . . . . 599--618 Mark Kot and Gary S. Sayler and Terry W. Schultz Complex dynamics in a model microbial system . . . . . . . . . . . . . . . . . 619--648 Alan S. Perelson and Gérand Weisbuch Modeling immune reactivity in secondary lymphoid organs . . . . . . . . . . . . 649--672 Michael A. B. Deakin and Robert A. R. Bywater and S. J. Redman Determination of time-constants in cables of finite length . . . . . . . . 673--686 Gordon A. Fox and Ronald F. Fox and Colin W. Clark Book reviews . . . . . . . . . . . . . . 687--694 G. E. Hutchinson Population studies: animal ecology and demography . . . . . . . . . . . . . . . 695--695 Anonymous Announcements . . . . . . . . . . . . . 697--698
Avidan U. Neumann and Gérard Weisbuch Dynamics and topology of idiotypic networks . . . . . . . . . . . . . . . . 699--726 Subhendu Ghosh Ising model for B--Z transition in supercoiled DNA . . . . . . . . . . . . 727--732 David Greenhalgh Vaccination in density-dependent epidemic models . . . . . . . . . . . . 733--758 Jaap Van Pelt and Harry B. M. Uylings and Ronald W. H. Verwer and Roberta J. Pentney and Michael J. Woldenberg Tree asymmetry --- A sensitive and practical measure for binary topological trees . . . . . . . . . . . . . . . . . 759--784 Larry Goldstein and Michael S. Waterman Poisson, compound Poisson, and process approximations for testing statistical significance in sequence comparisons . . 785--812 Gabriel K. Y. Lam The study of combined action of agents using differential geometry of dose-effect surfaces . . . . . . . . . . 813--826 Thomas C. Gard Stochastic models for toxicant-stressed populations . . . . . . . . . . . . . . 827--837 René Lefever and Jacques Hiernaux and Jacques Urbain and Patricia Meyers On the kinetics and optimal specificity of cytotoxic reactions mediated by T-lymphocyte clones . . . . . . . . . . 839--873 G. Hovav and H. Parnas and I. Parnas Neurotransmitter release: Facilitation and three-dimensional diffusion of intracellular calcium . . . . . . . . . 875--894 D. M. Wells and J. A. S. Kelso and Lisa Fauci and Jacques Bélair Book reviews . . . . . . . . . . . . . . 895--901 Anonymous International School on Neural Modeling and Neural Networks . . . . . . . . . . 903--903
Roman R. Poznanski Modelling the electrotonic structure of starburst amacrine cells in the rabbit retina: a functional interpretation of dendritic morphology . . . . . . . . . . 905--928 B. O. Ebaseh-Onofa and J. H. Matis Compartmental models with Erlang distributed residence times and random rate coefficients . . . . . . . . . . . 929--938 Ricard V. Solé and Joaquim Valls Nonlinear phenomena and chaos in a Monte Carlo simulated microbial ecosystem . . 939--955 C. Zonneveld Polyandry and protandry in butterflies 957--976 S. I. Barry and G. K. Aldis Flow-induced deformation from pressurized cavities in absorbing porous tissues . . . . . . . . . . . . . . . . 977--997 Ellen Baake and Johannes P. Schlöder Modelling the fast fluorescence rise of photosynthesis . . . . . . . . . . . . . 999--1021 Seth Michelson and Doris Slate A mathematical model of the P-glycoprotein pump as a mediator of multidrug resistance . . . . . . . . . . 1023--1038 A. Palmer and J. Brindley and A. V. Holden Initiation and stability of reentry in two coupled excitable fibers . . . . . . 1039--1056 William H. E. Day and F. R. McMorris Consensus sequences based on plurality rule . . . . . . . . . . . . . . . . . . 1057--1068 Anne Krislov Morris and Wendy Kuhn Silk Use of a flexible logistic function to describe axial growth of plants . . . . 1069--1081 Robert Rosen and Steven H. Strogatz and Josesph M. Mahaffy and Joseph M. Mahaffy Book reviews . . . . . . . . . . . . . . 1083--1094
Keiichi Masutani Effects of survival thresholds upon one-dimensional dynamics of single-species populations . . . . . . . 1--13 Sergio Rinaldi and Simona Muratori and Yuri Kuznetsov Multiple attractors, catastrophes and chaos in seasonally perturbed predator--prey communities . . . . . . . 15--35 John Totafurno and Matthew Bjerknes and Hazel Cheng Estimation of the extent of the cutoff region from the spatial distribution of labelling and mitotic indices of intestinal crypts of a fixed length . . 37--73 Ana Sendova-Franks and Nigel R. Franks Task allocation in ant colonies within variable environments (A study of temporal polyethism: Experimental) . . . 75--96 Miguel Lara-Aparicio and Santiago López de Medrano and Beatriz Fuentes-Pardo and Enrique Moreno-Sáenz A qualitative mathematical model of the ontogeny of a circadian rhythm in crayfish . . . . . . . . . . . . . . . . 97--110 W. G. Pritchard Scaling in the animal kingdom . . . . . 111--129 Xincai Luo and Keith Taylor and Paul G. Mezey Vertex mobility of polyhedra . . . . . . 131--140 Dan Gusfield Efficient methods for multiple sequence alignment with guaranteed error bounds 141--154 Gábor Horváth and Dezsö Varjú Theoretical study of the optimal shape of the front profile of the lens in the eye of the scallop, Pecten . . . . . . . 155--174 Yakov L. Fuxman Reproduction rate, feeding process, and Leibich limitations in cell populations --- Part 1. Feeding stochasticity and reproduction rate . . . . . . . . . . . 175--195 Hugh C. Crenshaw Orientation by helical motion --- I. Kinematics of the helical motion of organisms with up to six degrees of freedom . . . . . . . . . . . . . . . . 197--212 Hugh C. Crenshaw and Leah Edelstein-Keshet Orientation by helical motion --- II. Changing the direction of the axis of motion . . . . . . . . . . . . . . . . . 213--230 Hugh C. Crenshaw Orientation by helical motion --- III. Microorganisms can orient to stimuli by changing the direction of their rotational velocity . . . . . . . . . . 231--255 Anonymous Announcement . . . . . . . . . . . . . . 257--257
T. Kme\vt and M. Stra\vskraba and P. Mauersberger A mechanistic model of the adaptation of phytoplankton photosynthesis . . . . . . 259--275 Mark P. van Veen and Jaap van Pelt Terminal and intermediate segment lengths in neuronal trees with finite length . . . . . . . . . . . . . . . . . 277--294 Gabriel K. Y. Lam The differential aspects of the linear isobole in the study of combined action of agents . . . . . . . . . . . . . . . 295--313 James Sneyd and Steven Girard and David Clapham Calcium wave propagation by calcium-induced calcium release: an unusual excitable system . . . . . . . . 315--344 Robert W. Korn The geometry of elongating plant cells 345--364 Debbie L. Benson and Jonathan A. Sherratt and Philip K. Maini Diffusion driven instability in an inhomogeneous domain . . . . . . . . . . 365--384 J. C. Nuño and M. A. Andrade and F. Morán and F. Montero A model of an autocatalytic network formed by error-prone self-replicative species . . . . . . . . . . . . . . . . 385--415 J. C. Nuño and M. A. Andrade and F. Montero Non-uniformities and superimposed competition in a model of an autocatalytic network formed by error-prone self-replicative species . . 417--449 Tamiki Umeda A thermodynamical model of cell distributions in the slug of cellular slime mold . . . . . . . . . . . . . . . 451--464 A. K. C. Wong and S. C. Chan and D. K. Y. Chiu A multiple sequence comparison method 465--486 Mats Gyllenberg Does time lag of nutrient utilization justify Monod's model of bacterial growth? . . . . . . . . . . . . . . . . 487--489 F. James Rohlf and Herbert W. Hethcote and Donald C. Mikulecky and J.-V. Höltje Book reviews . . . . . . . . . . . . . . 491--502
Kun-Mao Chao and Ross C. Hardison and Webb Miller Constrained sequence alignment . . . . . 503--524 Anne Beuter and Jacques Bélair and Christiane Labrie and Jacques Bélair Feedback and delays in neurological diseases: a modeling study using gynamical systems . . . . . . . . . . . 525--541 Scott Findlay and Ligang Zheng Structural correlates of stability and resilience in strong hierarchies . . . . 543--560 B. H. Havsteen and M. Garcia-Moreno and E. Valero and M. C. Manjabacas and R. Varón The kinetics of enzyme systems involving activation of zymogens . . . . . . . . . 561--583 M. Schienbein and H. Gruler Langevin equation, Fokker--Planck equation and cell migration . . . . . . 585--608 C. Zonneveld and S. A. L. M. Kooijman Comparative kinetics of embryo development . . . . . . . . . . . . . . 609--635 Jonathan A. Sherratt and Julian Lewis Stress-induced alignment of actin filaments and the mechanics of cytogel 637--654 D. L. S. McElwain and G. J. Pettet Cell migration in multicell spheroids: Swimming against the tide . . . . . . . 655--674 Bela Novak and G. B. Ermentrout and Marc Mangel and F. W. Schneider and Keith A. Crandall and Kerry L. Shaw and Thomas Caraco and Elaina M. Tuttle Book reviews . . . . . . . . . . . . . . 675--691 Anonymous Summer School on Nonlinear Systems in Evolutionary and Population Biology . . 693--693
Boris Mirkin and Fred S. Roberts Consensus functions and patterns in molecular sequences . . . . . . . . . . 695--713 E. Beretta and F. Solimano An optimal time control problem for the administration of 2',3'-dideoxycytidine by using red blood cells as bioreactors 715--730 Christl Donnelly and Wendy Leisenring and Phyllis Kanki and Tamara Awerbuch and Sonja Sandberg Comparison of transmission rates of HIV-1 and HIV-2 in a cohort of prostitutes in Senegal . . . . . . . . . 731--743 Rob J. De Boer and Alan S. Perelson and Ioannis G. Kevrekidis Immune network behavior --- I. From stationary states to limit cycle oscilations . . . . . . . . . . . . . . 745--780 Rob J. De Boer and Alan S. Perelson and Ioannis G. Kevrekidis Immune network behavior --- II. From oscillations to chaos and stationary states . . . . . . . . . . . . . . . . . 781--816 H. I. Freedman and R. M. Mathsen Persistence in predator--prey systems with ratio-dependent predator influence 817--827 John J. Jeka and J. A. S. Kelso and Tim Kiemel Pattern switching in human multilimb coordination dynamics . . . . . . . . . 829--845 Linda J. S. Allen and Mary K. Hannigan and Monty J. Strauss Mathematical analysis of a model for a plant-herbivore system . . . . . . . . . 847--864 Michael C. Reed Mathematics in medicine and the life sciences . . . . . . . . . . . . . . . . 865--867
Jyh-Ping Hsu and Wen-Chang Hsu and Heng-Kwong Tsao Diffusion-enhanced bioreactions: a hypothetical mechanism for plant cell aggregation . . . . . . . . . . . . . . 869--889 Chris Tofts Algorithms for task allocation in ants. (A study of temporal polyethism: Theory) 891--918 Lewi Stone and Tom Berman Positive feedback in aquatic ecosystems: The case of the microbial loop . . . . . 919--936 J. Guckenheimer and J. S. Labouriau Bifurcation of the Hodgkin and Huxley equations: a new twist . . . . . . . . . 937--952 Kai Velten and Otto Richter Optimal maintenance investment of plants and its dependence on environmental conditions . . . . . . . . . . . . . . . 953--971 Houssine El Snoussi and Rene Thomas Logical identification of all steady states: The concept of feedback loop characteristic states . . . . . . . . . 973--991 Seth Michelson and John T. Leith Growth factors and growth control of heterogeneous cell populations . . . . . 993--1011 Zvia Agur and Michael LaBarbera and George F. Estabrook and Charles J. Brokaw Book reviews . . . . . . . . . . . . . . 1013--1024
Didier G. Arqu\`es and Christian J. Michel Analytical expression of the purine/pyrimidine codon probability after and before random mutations . . . 1025--1038 Vincent Gadani and Pierre Villon and Jacques Manem and Bruce Rittmann A new method to solve a non-steady-state multispecies biofilm model . . . . . . . 1039--1061 Gérard Weisbuch and Guillemette Duchateau Emergence of mutualism: Application of a differential model to endosymbiosis . . 1063--1090 Russell W. Anderson and Avidan U. Neumann and Alan S. Perelson A Cayley tree immune network model with antibody dynamics . . . . . . . . . . . 1091--1131 Bernhard Sulzer and J. Leo van Hemmen and Avidan U. Neumann and Ulrich Behn Memory in idiotypic networks due to competition between proliferation and differentiation . . . . . . . . . . . . 1133--1182 Ron Unger and John Moult Finding the lowest free energy conformation of a protein is an NP-hard problem: Proof and implications . . . . 1183--1198 Aviezri S. Fraenkel Complexity of protein folding . . . . . 1199--1210
Walter Fontana and Leo W. Buss ``The arrival of the fittest'': Toward a theory of biological organization . . . 1--64 Thomas Wilhelm and Edda Hoffmann-Klipp and Reinhart Heinrich An evolutionary approach to enzyme kinetics: Optimization of ordered mechanisms . . . . . . . . . . . . . . . 65--106 Geoffrey N. Tuck and Hugh P. Possingham Optimal harvesting strategies for a metapopulation . . . . . . . . . . . . . 107--127 Jonathan A. Sherratt Chemotaxis and chemokinesis in eukaryotic cells: The Keller--Segel equations as an approximation to a detailed model . . . . . . . . . . . . . 129--146 Gabriela Sánchez-Mejorada and Horacio Merchant-Larios and Francisco Alonso-deFlorida and Luis B. Morales Probability of mast cells to mediate anaphylaxis in skeletal muscle . . . . . 147--160 Leah Edelstein-Keshet and Ronald M. Shymko and Werner Horsthemke and R. Allen White Book reviews . . . . . . . . . . . . . . 161--170
Moshe Gitterman and George H. Weiss Generalized theory of the kinetics of tracers in biological systems . . . . . 171--186 Uwe Timm and Akira Okubo Gyrotaxis: a plume model for self-focusing micro-organisms . . . . . 187--206 Seth Michelson and Doris Slate A mathematical model for the inhibition of the multidrug resistance-associated P-glycoprotein pump . . . . . . . . . . 207--223 K. A. Overholser and N. A. Lomangino and T. R. Harris and J. D. Bradléy and S. Bosan Deduction of pulmonary microvascular hematocrit from indicator dilution curves . . . . . . . . . . . . . . . . . 225--247 Mark P. Van Veen and Jaap Van Pelt Neuritic growth rate described by modeling microtubule dynamics . . . . . 249--273 Steven S. Skiena and Gopalakrishnan Sundaram A partial digest approach to restriction site mapping . . . . . . . . . . . . . . 275--294 Vladimir A. Kuznetsov and Iliya A. Makalkin and Mark A. Taylor and Alan S. Perelson Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis . . . . . . . . . . 295--321 Li-Bing Zhang and Chan-Ying Du and An-Shen Qi Complex behaviours of AB model describing idiotypic network . . . . . . 323--336 Marek Kimmel and David N. Stivers Time-continuous branching walk models of unstable gene amplification . . . . . . 337--357 Calvin Ribbens and Matthew Witten Book reviews . . . . . . . . . . . . . . 359--363
D. J. Marsh Introduction . . . . . . . . . . . . . . 365--368 James D. Oliver III and William M. Deen Random-coil model for glomerular sieving of dextran . . . . . . . . . . . . . . . 369--389 Leon C. Moore and Adam Rich and Daniel Casellas Ascending myogenic autoregulation: Interactions between tubuloglomerular feedback and myogenic mechanisms . . . . 391--410 N.-H. Holstein-Rathlou and D. J. Marsh A dynamic model of renal blood flow autoregulation . . . . . . . . . . . . . 411--429 S. Randall Thomas and George Dagher A kinetic model of rat proximal tubule transport-load-dependent bicarbonate reabsorption along the tubule . . . . . 431--458 Thomas A. Krahn and Peter S. Aronson and Alan M. Weinstein Weak acid permeability of a villous membrane: Formic acid transport across rat proximal tubule . . . . . . . . . . 459--490 J. Frank Jen and John L. Stephenson Externally driven countercurrent multiplication in a mathematical model of the urinary concentrating mechanism of the renal inner medulla . . . . . . . 491--514 Xianqun Wang and Anthony S. Wexler and Donald J. Marsh The effect of solution non-ideality on membrane transport in three-dimensional models of the renal concentrating mechanism . . . . . . . . . . . . . . . 515--546 H. E. Layton and E. Bruce Pitman A dynamic numerical method for models of renal tubules . . . . . . . . . . . . . 547--565 E. Bruce Pitman and H. E. Layton and Leon C. Moore Numerical simulation of propagating concentration profiles in renal tubules 567--586
Gül Civeleko\uglu and Leah Edelstein-Keshet Modelling the dynamics of F-actin in the cell . . . . . . . . . . . . . . . . . . 587--616 Miljenko Maru\vsic and \vZeljko Bajzer and Stanimir Vuk-Pavlovic and James P. Freyer Tumor growth in vivo and as multicellular spheroids compared by mathematical models . . . . . . . . . . 617--631 C. Indermitte and Th. M. Liebling and H. Clémençon Culture analysis and external interaction models of mycelial growth 633--664 Meira S. Falkovitz and Eli Feinerman Minimum leaching scheduling of nitrogen fertilization and irrigation . . . . . . 665--686 Lee A. Segel and Eva Jäger Reverse engineering: a model for T-cell vaccination . . . . . . . . . . . . . . 687--721 C. G. Phillips and K. H. Parker and W. Wang A model for flow through discontinuities in the tight junction of the endothelial intercellular cleft . . . . . . . . . . 723--741 Michael S. Waterman Parametric and ensemble sequence alignment algorithms . . . . . . . . . . 743--767 Michael Conrad and Donald L. DeAngelis Book reviews . . . . . . . . . . . . . . 769--774
Robert W. Korn Analysis of cell packets in elongating plant tissue . . . . . . . . . . . . . . 775--794 Sharon Lubkin Unidirectional waves on rings: Models for chiral preference of circumnutating plants . . . . . . . . . . . . . . . . . 795--810 Arthur Sherman Anti-phase, asymmetric and aperiodic oscillations in excitable cells --- I. Coupled bursters . . . . . . . . . . . . 811--835 I. G. Minkevich and A. Yu. Abramychev The dynamics of continuous microbial culture described by cell age distribution and concentration of one substrate . . . . . . . . . . . . . . . 837--862 Wei-min Liu Nonlinear forecasting of hepatitis and AIDS incidence . . . . . . . . . . . . . 863--873 Juan Carlos Nuño and Pedro Tarazona Lifetimes of small catalytic networks 875--898 Gérard Weisbuch and Mihaela Oprea Capacity of a model immune network . . . 899--921 Ding Da-Fu and Qian Jiang and Feng Zu-Kang A differential geometric treatment of protein structure comparison . . . . . . 923--943 Uno Wennergren and Per Weinerfelt and Göran Forsling Comparative sensitivity analysis of stable stage structures and reproductive values . . . . . . . . . . . . . . . . . 945--957 Gabriel K. Y. Lam A general formulation of the concept of independent action for the combined effects of agents . . . . . . . . . . . 959--980 J. E. Truscott and J. Brindley Ocean plankton populations as excitable media . . . . . . . . . . . . . . . . . 981--998 Robert Rosen and G. B. Ermantrout and Steven H. Strogatz and Michael Mesterton-Gibbons Book reviews . . . . . . . . . . . . . . 999--1008
Bernhard Sulzer and J. Leo Van Hemmen and Ulrich Behn Central immune system, the self and autoimmunity . . . . . . . . . . . . . . 1009--1040 Prabhas V. Moghe and Robert T. Tranquillo Stochastic model of chemoattractant receptor dynamics in leukocyte chemosensory movement . . . . . . . . . 1041--1093 S. Aharon and H. Parnas and I. Parnas The magnitude and significance of Ca$^{2+}$ domains for release of neurotransmitter . . . . . . . . . . . . 1095--1119 T. Eakin Intrinsic time scaling in survival analysis: Application to biological populations . . . . . . . . . . . . . . 1121--1141 Ke-Ning Sheng and Joseph I. Naus Pattern matching between two non-aligned random sequences . . . . . . . . . . . . 1143--1162 Bela Sevella and Nicholas D. Stone and Stephen P. Ellner and Philip K. Maini and William S. C. Gurney Book reviews . . . . . . . . . . . . . . 1163--1172
I. A. Kuzin Hypnosis modelling in neural networks 1--20 Peter F. Stadler and Wolfgang Schnabl and Christian V. Forst and Peter Schuster Dynamics of small autocatalytic reaction networks --- II. Replication, mutation and catalysis . . . . . . . . . . . . . 21--61 John B. Collings Bifurcation and stability analysis of a temperature-dependent mite predator--prey interaction model incorporating a prey refuge . . . . . . 63--76 T. G. Myers, OCIAM and G. K. Aldis and S. Naili Ion induced deformation of soft tissue 77--98 Kai Velten and Otto Richter Optimal root/shoot-partitioning of carbohydrates in plants . . . . . . . . 99--107 Jacques H. Boutet de Monvel and Olivier C. Martin Memory capacity in large idiotypic networks . . . . . . . . . . . . . . . . 109--136 Alan Y. K. Wong A kinetic model of coronary reactive hyperemic response to transient ischemia 137--156 M. J. Navarro-Lozano and E. Valero and R. Varon and F. Garcia-Carmona Kinetic study of an enzyme-catalysed reaction in the presence of novel irreversible-type inhibitors that react with the product of enzymatic catalysis 157--168 Bruce West and J. M. Cushing Book reviews . . . . . . . . . . . . . . 169--173
Beatriz Fuentes-Pardo and Miguel Lara-Aparicio and Santiago López de Medrano Perturbation of a circadian rhythm by single and periodic signals and its mathematical simulation . . . . . . . . 175--189 Robert Rognstad On the estimation of alternative pathways of fatty acid oxidation in the liver \em In vivo . . . . . . . . . . . 191--203 A. Kalay and H. Parnas and E. Shamir Neuronal growth via hybrid system of self-growing and diffusion based grammar rules: I . . . . . . . . . . . . . . . . 205--227 Robert M. Miura and Mark Pernarowski Correlations of rates of insulin release from islets and plateau fractions for $ \beta $-cells . . . . . . . . . . . . . 229--246 René Thomas and Denis Thieffry and Marcelle Kaufman Dynamical behaviour of biological regulatory networks --- I. Biological role of feedback loops and practical use of the concept of the loop-characteristic state . . . . . . . 247--276 Denis Thieffry and René Thomas Dynamical behaviour of biological regulatory networks --- II. Immunity control in bacteriophage lambda . . . . 277--297 A. J. Hillesdon and T. J. Pedley and J. O. Kessler The development of concentration gradients in a suspension of chemotactic bacteria . . . . . . . . . . . . . . . . 299--344 Seth Michelson and John T. Leith Interlocking triads of growth control in tumors . . . . . . . . . . . . . . . . . 345--366 Mike Steel and Mike Charleston Five surprising properties of parsimoniously colored trees . . . . . . 367--375 Sharon Lubkin Phyllotaxis: a systemic study in plant morphogenesis . . . . . . . . . . . . . 377--379
Yoosef Maghsoodi and Eric P. M. Grist Optimal population stabilization and control using the Leslie matrix model 381--399 C. Kohlmeier and W. Ebenhöh The stabilizing role of cannibalism in a predator--prey system . . . . . . . . . 401--411 Richard Bertram and Manish J. Butte and Tim Kiemel and Arthur Sherman Topological and phenomenological classification of bursting oscillations 413--439 Jacob S. Ishay and Ada H. Abes and Harry L. Chernobrov and Vered Barenholz-Paniry and Yisrael Parmet and Camil Fuchs Building activity and longevity of queenless groups of the Oriental hornet, \bionameVespa orientalis . . . . . . . . 441--460 H. M. Byrne and M. A. J. Chaplain Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions . . . . . . . . 461--486 Denis Barabé and Roger V. Jean On the allometric growth of tissues in fruits . . . . . . . . . . . . . . . . . 487--498 Marc Mangel and George W. Swan and Thomas G. Hallam Book reviews . . . . . . . . . . . . . . 499--506
W. G. Wilson and E. McCauley and A. M. De Roos Effect of dimensionality on Lotka--Volterra predator-prey dynamics: Individual based simulation results . . 507--526 Liaofu Luo and Fengmin Ji and Hong Li Fuzzy classification of nucleotide sequences and bacterial evolution . . . 527--537 Peter T. Saunders and Mae Wan Ho Reliable segmentation by successive bifurcation . . . . . . . . . . . . . . 539--556 Robert Rognstad Dicarboxylic acid fluxes during gluconeogenesis. No channelling of mitochondrial oxalacetate . . . . . . . 557--568 Laura Weiss Maki and Joel Keizer Mathematical analysis of a proposed mechanism for oscillatory insulin secretion in perifused HIT-15 cells . . 569--591 Linda M. Lawson and Yvette H. Spitz and Eileen E. Hofmann and Robert Bryan Long A data assimilation technique applied to a predator-prey model . . . . . . . . . 593--617 Hans Meinhardt and Paul Fife and Hal L. Smith and Diana E. Woodward and Alan Hastings and Stuart G. Whittington Book reviews . . . . . . . . . . . . . . 619--630
Uwe Timm and Akira Okubo Gyrotaxis: Interaction between algae and flagellates . . . . . . . . . . . . . . 631--650 Jes Stollberg Density and diffusion limited aggregation in membranes . . . . . . . . 651--677 Lisa J. Fauci and Amy McDonald Sperm motility in the presence of boundaries . . . . . . . . . . . . . . . 679--699 Alessandra Gragnani and Sergio Rinaldi A universal bifurcation diagram for seasonally perturbed predator--prey models . . . . . . . . . . . . . . . . . 701--712 Shu-Guang Guan and An-Shen Qi Contributions of memory B cells to secondary immune response . . . . . . . 713--731 Seth Michelson and John T. Leith A theoretical explanation of ``Concomitant resistance'' . . . . . . . 733--747 Yakov L. Fuxman Reproduction rate, feeding process, and Liebig limitations in cell populations --- II . . . . . . . . . . . . . . . . . 749--782 Anonymous An alternative derivation of Fuxman's threshold result . . . . . . . . . . . . 783--786
M. \vDuri\vsová and L. Dedík and M. Balan Building a structured model of a complex pharmacokinetic system with time delays 787--808 Galina N. Borisyuk and Roman M. Borisyuk and Alexander I. Khibnik and Dirk Roose Dynamics and bifurcations of two coupled neural oscillators with different connection types . . . . . . . . . . . . 809--840 Bernhard Sulzer and Gerard Weisbuch Idiotypic regulation of B cell differentiation . . . . . . . . . . . . 841--864 R. R. Poznanski and W. G. Gibson and M. R. Bennett Electrotonic coupling between two CA3 hippocampal pyramidal neurons: a distributed cable model with somatic gap-junction . . . . . . . . . . . . . . 865--881 E. S. Kempner The mathematics of radiation target analyses . . . . . . . . . . . . . . . . 883--898 Maureen E. Rush and John Rinzel The potassium $A$-current, low firing rates and rebound excitation in Hodgkin--Huxley models . . . . . . . . . 899--929 K. A. Overholser and N. A. Lomangino and T. R. Harris and J. D. Bradley and S. Bosan Erratum to Deduction of pulmonary microvascular hematocrit from indicator dilution curves . . . . . . . . . . . . 931--933 G. B. Ermentrout Theoretical models in biology: The origin of life, the immune system, and the brain . . . . . . . . . . . . . . . 935--937 Paul Dixon and Alistair Hobday and George Sugihara Fractals in science . . . . . . . . . . 939--941 Alan Hastings Chaos in dynamical systems . . . . . . . 943--944 Stephen Ellner Coping with chaos: Analysis of chaotic data and the exploitation of chaotic systems . . . . . . . . . . . . . . . . 945--946 Lionel G. Harrison Models for embryonic periodicity . . . . 947--948 Mark W. Denny Life in moving fluids: The physical biology of Flow . . . . . . . . . . . . 949--951
William R. Taylor A non-local gap-penalty for profile alignment . . . . . . . . . . . . . . . 1--18 M. C. Manjabacas and E. Valero and M. García-Moreno and C. Garrido and R. Varón Kinetics of an autocatalytic zymogen reaction in the presence of an inhibitor coupled to a monitoring reaction . . . . 19--41 José A. M. Borghans and Rob J. de Boer and Lee A. Segel Extending the quasi-steady state approximation by changing variables . . 43--63 Brian K. Davis A theory of evolution that includes prebiotic self-organization and episodic species formation . . . . . . . . . . . 65--97 Brian K. Davis Darwinian evolution by self-propagating species under fractional order kinetics 99--101 Stephen Ellner Environmental fluctuations and the maintenance of genetic diversity in age or stage-structured populations . . . . 103--127 Hilmi Demiray An evolution of pulse speed in arteries 129--140 K. Manivannan and R. T. Mathias and E. Gudowska-Nowak Description of interacting channel gating using a stochastic Markovian model . . . . . . . . . . . . . . . . . 141--174 Narayan Behera Variational principles in evolution . . 175--202 David B. Fogel and Mark A. Lewis Book reviews . . . . . . . . . . . . . . 203--206
Chris Cosner Variability, vagueness and comparison methods for ecological models . . . . . 207--246 Joanna S. Jaworska and Thomas G. Hallam and T. Wayne Schultz A community model of ciliate Tetrahymena and bacteria \bionameE. coli: Part I. Individual-based models of \bionameTetrahymena and \bionameE. coli populations . . . . . . . . . . . . . . 247--264 Joanna S. Jaworska and Thomas G. Hallam and T. Wayne Schultz A community model of ciliate \bionameTetrahymena and bacteria \bionameE. coli: Part II. Interactions in a batch system . . . . . . . . . . . 265--283 Rob J. de Boer and Maarten C. Boerlijst and Bernhard Sulzer and Alan S. Perelson A new bell-shaped function for idiotypic interactions based on cross-linking . . 285--312 Fred L. Bookstein Biometrics, biomathematics and the morphometric synthesis . . . . . . . . . 313--365 Denise Kirschner and G. F. Webb A model for treatment strategy in the chemotherapy of AIDS . . . . . . . . . . 367--390 Brian Charlesworth and Michael Mesterton-Gibbons and Michael Neubert and Sarah Little and J. O. Kessler and J. Demongeot and Steven H. Strogatz and Glenn T. Vickers Book reviews . . . . . . . . . . . . . . 391--407
F. Nekka and S. Kyriacos and C. Kerrigan and L. Cartilier A model of growing vascular structures 409--424 John Carl Panetta A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment . . . . . . . . . . . . . . 425--447 W. Schmidt and E.-Ch. Müller A distance measure based on binary character data and its application to phylogeny reconstruction . . . . . . . . 449--469 N. F. Britton and L. W. Partridge and N. R. Franks A mathematical model for the population dynamics of army ants . . . . . . . . . 471--492 A. Vermeulen and J.-P. Rospars and P. Lánský and H. C. Tuckwell Coding of stimulus intensity in an olfactory receptor neuron: Role of neuron spatial extent and passive dendritic backpropagation of action potentials . . . . . . . . . . . . . . . 493--512 C. R. Thompson and B. S. Gerstman and S. L. Jacques and M. E. Rogers Melanin granule model for laser-induced thermal damage in the retina . . . . . . 513--553 Johan Grasman The expected extinction time of a population within a system of interacting biological populations . . . 555--568 Beno\^\it F. Morel and Meghan A. Burke and Jayant Kalagnanam and Susan A. McCarthy and David J. Tweardy and Penelope A. Morel Making sense of the combined effect of interleukin-2 and interleukin-4 on lymphocytes using a mathematical model 569--594 Gail S. K. Wolkowicz and Rick Durrett and Mercedes Pascual and Arthur L. Koch and Yu. A. Kuznetsov and W. M. Schaffer Book reviews . . . . . . . . . . . . . . 595--609
J. P. Armitstead and C. D. Bertram and O. E. Jensen A study of the bifurcation behaviour of a model of flow through a collapsible tube . . . . . . . . . . . . . . . . . . 611--641 Graeme D. Ruxton Density-dependent migration and stability in a system of linked populations . . . . . . . . . . . . . . 643--660 Eric Bonabeau and Guy Theraulaz and Jean-Louis Deneubourg Mathematical model of self-organizing hierarchies in animal societies . . . . 661--717 Robert Costalat and Jacques Burger Effect of enzyme organization on the stability of Yates--Pardee pathways . . 719--737 Sabine Stöcker and Daniel Weihs Foraging costs as a defining factor for growth and asymptotic mass . . . . . . . 739--751 Stefan Mayer On the pressure and flow-rate distributions in tree-like and arterial-venous networks . . . . . . . . 753--785 Luke Olsen and Jonathan A. Sherratt and Philip K. Maini A mathematical model for fibro-proliferative wound healing disorders . . . . . . . . . . . . . . . 787--808 C. R. Thompson and B. S. Gerstman and S. L. Jacques and M. E. Rogers Melanin granule model for laser-induced thermal damage in the retina . . . . . . 809--810 Eric Renshaw and Jon Seger and J. W. Stubblefield Cera Book reviews . . . . . . . . . . . . . . 811--814
L. J. S. Allen and E. J. Allen and S. Ponweera A mathematical model for weed dispersal and control . . . . . . . . . . . . . . 815--834 A. A. King and W. M. Schaffer and C. Gordon and J. Treat and M. Kot Weakly dissipative predator-prey systems 835--859 Michael Mesterton-Gibbons and Michael J. Childress Constraints on reciprocity for non-sessile organisms . . . . . . . . . 861--875 Robert Happel and Robert Hecht and Peter F. Stadler Autocatalytic networks with translation 877--905 William G. Wilson and Roger M. Nisbet and Alex H. Ross and Carlos Robles and Robert A. Desharnais Abrupt population changes along smooth environmental gradients . . . . . . . . 907--922 Paul H. Berg and Eberhard O. Voit and Roger L. White A pharmacodynamic model for the action of the antibiotic imipenem on \bionamePseudomonas aeruginosa populations \em in vitro . . . . . . . . 923--938 Hilmi Demiray Solitary waves in prestressed elastic tubes . . . . . . . . . . . . . . . . . 939--955 Tibor Kme\vt Material recycling in a closed aquatic ecosystem. I. Nitrogen transformation cycle and preferential utilization of ammonium to nitrate by phytoplankton as an optimal control problem . . . . . . . 957--982 Tibor Kme\vt Material recycling in a closed aquatic ecosystem. II. Bifurcation analysis of a simple food-chain model . . . . . . . . 983--1000 M. N. Kuperman and B. Von Haeften and H. S. Wio Persistence of the weaker species in a non-homogeneous competitive system: Exact result through a quantum mechanical analogy . . . . . . . . . . . 1001--1018 Herbert W. Hethcote Epidemic models: Their structure and relation to data . . . . . . . . . . . . 1019--1022
J. She and C. D. Bertram Numerical simulation of collapsible-tube flows with sinusoidal forced oscillations . . . . . . . . . . . . . . 1023--1046 Wynn L. Walker and Julian Cook Drug delivery to brain tumors . . . . . 1047--1074 S. Aharon and M. Bercovier and H. Parnas Parallel computation enables precise description of Ca$^{2+}$ distribution in nerve terminals . . . . . . . . . . . . 1075--1097 Michael A. Fishman and Lee A. Segel Modeling immunotherapy for allergy . . . 1099--1121 Chandrika B-Rao and John Stewart Inverse analysis of empirical matrices of idiotypic network interactions . . . 1123--1153 C. Le Sech and A. Capderou Determination of pulmonary mean transit time and cardiac output using a one-dimensional model . . . . . . . . . 1155--1170 Richard Wu and Tai Te Wu A novel intact circular dsDNA supercoil 1171--1185 Ignacio Barradas and Hal Caswell and Joel E. Cohen Competition during colonization vs competition after colonization in disturbed environments: a metapopulation approach . . . . . . . . . . . . . . . . 1187--1207
Charles E. Smith and Petr Lánsky and Te-Hsin Lung Cycle-time and residence-time density approximations in a stochastic model for circulatory transport . . . . . . . . . 1--22 E. Sirot and V. K\vrivan Adaptive superparasitism and host-parasitoid dynamics . . . . . . . . 23--41 Dumitru Popescu and Liviu Movileanu and Gheorghe Victor and Grigore Turcu Stability and instability properties of aggregation of single chain amphiphiles into binary mixtures . . . . . . . . . . 43--61 Richard A. Reyment Evolution of shape in Oligocene and Miocene \bionameNotocarinovalva (Ostracoda, Crustacea): a multivariate statistical study . . . . . . . . . . . 63--87 D. P. Gaver and P. A. Jacobs and R. L. Carpenter and J. G. Burkhart A mathematical model for intracellular effects of toxins on DNA adduction and repair . . . . . . . . . . . . . . . . . 89--106 R. W. Van Kirk and M. A. Lewis Integrodifference models for persistence in fragmented habitats . . . . . . . . . 107--137 Kunihiko Kaneko and Tetsuya Yomo Isologous diversification: a theory of cell differentiation . . . . . . . . . . 139--196 Lars Folke Olsen and David B. Fogel Book reviews . . . . . . . . . . . . . . 197--204
M. I. S. Costa and J. L. Boldrini Chemotherapeutic treatments: a study of the interplay among drug resistance, toxicity and recuperation from side effects . . . . . . . . . . . . . . . . 205--232 Seth Michelson and John T. Leith Positive feedback and angiogenesis in tumor growth control . . . . . . . . . . 233--254 A. L. Jensen Matrix population model with density-dependent recruitment for assessment of age-structured wildlife populations . . . . . . . . . . . . . . 255--262 R. Lefever and O. Lejeune On the origin of tiger bush . . . . . . 263--294 Mariusz Kaczmarek and Ravi P. Subramaniam and Samuel R. Neff The hydromechanics of hydrocephalus: Steady-state solutions for cylindrical geometry . . . . . . . . . . . . . . . . 295--323 Bing Liu and Rainer K. Sachs A two-backbone polymer model for interphase chromosome geometry . . . . . 325--337 Christian Reidys and Peter F. Stadler and Peter Schuster Generic properties of combinatory maps: Neutral networks of RNA secondary structures . . . . . . . . . . . . . . . 339--397 G. Bard Ermentrout and Svetlozar T. Rachev Book reviews . . . . . . . . . . . . . . 399--406 Anonymous Erratum . . . . . . . . . . . . . . . . 407--407
Nicholas A. M. Monk The community effect and ectoderm--mesoderm interaction in \bionameXenopus muscle differentiation 409--425 Veijo Kaitala and Mikko Heino and Wayne M. Getz Host-parasite dynamics and the evolution of host immunity and parasite fecundity strategies . . . . . . . . . . . . . . . 427--450 Alan M. Weinstein Dynamics of cellular homeostasis: Recovery time for a perturbation from equilibrium . . . . . . . . . . . . . . 451--481 Joseph I. Naus and Ke-Ning Sheng Matching among multiple random sequences 483--496 Michael Doebeli and Graeme D. Ruxton Controlling spatial chaos in metapopulations with long-range dispersal . . . . . . . . . . . . . . . 497--515 Rafael A. Barrio and Limei Zhang and Philip K. Maini Hierarchically coupled ultradian oscillators generating robust circadian rhythms . . . . . . . . . . . . . . . . 517--532 Bard Ermentrout and Mark Lewis Pattern formation in systems with one spatially distributed species . . . . . 533--549 Frank Van den Bosch and Wilfried Gabriel Cannibalism in an age-structured predator--prey system . . . . . . . . . 551--567 Petr Lánský and Jana Velí\vsková and Libor Velí\vsek An indirect method for absorption rate estimation: Flurothyl-induced seizures 569--579 Chris Tuffley and Mike Steel Links between maximum likelihood and maximum parsimony under a simple model of site substitution . . . . . . . . . . 581--607
Peter White and James Powell Phase transition from environmental to dynamic determinism in mountain pine beetle attack . . . . . . . . . . . . . 609--643 Miloje M. Rako\vcevi\'c Two classes of the aminoacyl-tRNA synthetases in correspondence with the Codon path cube . . . . . . . . . . . . 645--648 V. L. Alexeyev and A. P. Levich A search for maximum species abundances in ecological communities under conditional diversity optimization . . . 649--677 Mats Gyllenberg and Ilkka Hanski and Torsten Lindström Continuous versus discrete single species population models with adjustable reproductive strategies . . . 679--705 M. I. S. Costa and J. L. Boldrini Conflicting objectives in chemotherapy with drug resistance . . . . . . . . . . 707--724 Ole Lund and Ole Sògaard Lund and Gregers Gram and Susanne Dam Nielsen and Kristian Schònning and Jens Ole Nielsen and John-Erik Stig Hansen and Erik Mosekilde Gene therapy of T helper cells in HIV infection: Mathematical model of the criteria for clinical effect . . . . . . 725--745 Micha Peleg and Mark D. Normand and Evi Damrau Mathematical interpretation of dose-response curves . . . . . . . . . . 747--761 Denise E. Kirschner and G. F. Webb Understanding drug resistance for monotherapy treatment of HIV infection 763--785 Frank Hoppensteadt and Harold M. Hastings and Michael Mesterton-Gibbons and K. A. Jane White and Henry D. I. Abarbanel and Michael G. Neubert and Mark Pernarowski Book reviews . . . . . . . . . . . . . . 787--807
Vlastimil K\vrivan Dynamical consequences of optimal host feeding on host-parasitoid population dynamics . . . . . . . . . . . . . . . . 809--831 Jesus Gálvez and Francisco Lajarin and Pilar García-Peñarrubia Mathematical modeling of adhesion of bacteria to host cell lines . . . . . . 833--856 Jesus Gálvez and Francisco Lajarin and Pilar García-Peñarrubia Penetration of host cell lines by bacteria. Characteristics of the process of intracellular bacterial infection . . 857--879 Barbara Bittner and Sebastian Bonhoeffer and Martin A. Nowak Virus load and antigenic diversity . . . 881--896 Bonawentura Kochel and Waldemar Sajewicz A new measure of xenobiotic toxicity to the first-line human defence system from the time-resolved phagocyte luminescence 897--910 Michael Weiss and Christina Stedtler and Michael S. Roberts On the validity of the dispersion model of hepatic drug elimination when intravascular transit time densities are long-tailed . . . . . . . . . . . . . . 911--929 M. Broom and C. Cannings and G. T. Vickers Multi-player matrix games . . . . . . . 931--952 C. Zoppou and S. I. Barry and G. N. Mercer Dynamics of human milk extraction: a comparative study of breast feeding and breast pumping . . . . . . . . . . . . . 953--973 Yannis Almirantis and Astero Provata The ``clustered structure'' of the purines/pyrimidines distribution in DNA distinguishes systematically between coding and non-coding sequences . . . . 975--992 Hilmi Demiray The effect of shear stress on solitary waves in arteries . . . . . . . . . . . 993--1012 Gordon A. Fox and Gregg Hartvigsen and W. M. Schaffer and Jonathan A. Sherratt and R. V. O'Neill and Athel Cornish-Bowden Book reviews . . . . . . . . . . . . . . 1013--1028
A. Suciu and G. Civeleko\uglu and Y. Tardy and J.-J. Meister Model for the alignment of actin filaments in endothelial cells subjected to fluid shear stress . . . . . . . . . 1029--1046 R. Henery and W. G. Gibson and M. R. Bennett Quantal currents and potential in the three-dimensional anisotropic bidomain model of smooth muscle . . . . . . . . . 1047--1075 Paul D. Dale and Jonathan A. Sherratt and Philip K. Maini Role of fibroblast migration in collagen fiber formation during fetal and adult dermal wound healing . . . . . . . . . . 1077--1100 J. E. Truscott and C. R. Webb and C. A. Gilligan Asymptotic analysis of an epidemic model with primary and secondary infection . . 1101--1123 M. Saleet Jafri and Joel Keizer Agonist-induced calcium waves in oscillatory cells: a biological example of Burgers' equation . . . . . . . . . . 1125--1144 Zoltán Varga and Eörs Szathmáry An extremum principle for parabolic competition . . . . . . . . . . . . . . 1145--1154 Zuzana Knudsen and A. V. Holden and J. Brindley Qualitative modeling of mechanoelectrical feedback in a ventricular cell . . . . . . . . . . . . 1155--1181 Nicholas A. M. Monk Cell communities and robustness in development . . . . . . . . . . . . . . 1183--1189 James Sneyd and Mark A. J. Chaplain and Edward F. Connor and Stephen Cantrell Book reviews . . . . . . . . . . . . . . 1191--1201
M. R. Myerscough and P. K. Maini and K. J. Painter Pattern formation in a generalized chemotactic model . . . . . . . . . . . 1--26 Sergio A. Alvarez and Svetlana Levitan and James A. Reggia Metrics for cortical map organization and lateralization . . . . . . . . . . . 27--47 Asep K. Supriatna and Hugh P. Possingham Optimal harvesting for a predator--prey metapopulation . . . . . . . . . . . . . 49--65 Corinne Cerf A note on the tangle model for DNA recombination . . . . . . . . . . . . . 67--78 K. Louie and A. J. Hall and P. W. Gandar A continuum mechanics approach to determining the cellular velocity field within a wool follicle . . . . . . . . . 79--100 John C. Dallon and Jonathan A. Sherratt A mathematical model for fibroblast and collagen orientation . . . . . . . . . . 101--129 Hugo Antonius van den Berg Modelling the metabolic versatility of a microbial trichome . . . . . . . . . . . 131--150 Q. Zheng A stochastic two-phase growth model . . 151--161 Didier G. Arqués and Jean-Paul Fallot and Christian J. Michel An evolutionary analytical model of a complementary circular code simulating the protein coding genes, the 5' and 3' regions . . . . . . . . . . . . . . . . 163--194 Kenneth Lange Book review . . . . . . . . . . . . . . 195--196
Jürgen Sühnel Parallel dose-response curves in combination experiments . . . . . . . . 197--213 Jonathan Swinton Extinction times and phase transitions for spatially structured closed epidemics . . . . . . . . . . . . . . . 215--230 B. W. Kooi and M. P. Boer and S. A. L. M. Kooijman On the use of the logistic equation in models of food chains . . . . . . . . . 231--246 R. F. Costantino and J. M. Cushing and Brian Dennis and Robert A. Desharnais and Shandelle M. Henson Resonant population cycles in temporally fluctuating habitats . . . . . . . . . . 247--273 Athan Spiros and Leah Edelstein-Keshet Testing a model for the dynamics of actin structures with biological parameter values . . . . . . . . . . . . 275--305 James Watmough and Mark Winston and Keith Slessor Distinguishing the effects of dilution and restricted movement on the intra-nest transmission of honey-bee queen pheromones . . . . . . . . . . . . 307--327 J. Ackermann and B. Wlotzka and J. S. McCaskill In vitro DNA-based predator-prey system with oscillatory kinetics . . . . . . . 329--354 Hyun Mo Yang and Ana Silvia Barreiros Silveira The loss of immunity in directly transmitted infections modeling: Effects on the epidemiological parameters . . . 355--372 F. Ventriglia Computational experiments support a competitive function in the the CA3 region of the hippocampus . . . . . . . 373--407 Ralph M. Siegel and Edward Beltrami and Ross Cressman Book reviews . . . . . . . . . . . . . . 409--415
Maja Bra\vci\vc and Aneta Stefanovska Nonlinear dynamics of the blood flow studied by Lyapunov exponents . . . . . 417--433 Yuzo Hosono The minimal speed of traveling fronts for a diffusive Lotka--Volterra competition model . . . . . . . . . . . 435--448 Leah Edelstein-Keshet and G. Bard Ermentrout Models for the length distributions of actin filaments: I. Simple polymerization and fragmentation . . . . 449--475 G. Bard Ermentrout and Leah Edelstein-Keshet Models for the length distributions of actin filaments: II. Polymerization and fragmentation by gelsolin acting together . . . . . . . . . . . . . . . . 477--503 Amadeus Stephani and Reinhart Heinrich Kinetic and thermodynamic principles determining the structural design of ATP-producing systems . . . . . . . . . 505--543 Denis Bugnon and Gilles Potel and Jocelyne Caillon and Denis Baron and Henri B. Drugeon and Philippe Feigel and Marie F. Kergueris In vivo simulation of human pharmacokinetics in the rabbit . . . . . 545--567 S. V. Krishna and P. D. N. Srinivasu and B. Kaymakcalan Conservation of an ecosystem through optimal taxation . . . . . . . . . . . . 569--584 Aline De Koeijer and Odo Diekmann and Peter Reijnders Modelling the spread of phocine distemper virus among harbour seals . . 585--596 E. David Ford and Gary Benson and Elizabeth Thompson and F. James Rohlf and Brian D. Sleemank Eric Renshaw and Brian A. Maurer Book reviews . . . . . . . . . . . . . . 597--613
Timothy P. Harrigan Limiting models for calcification in fibrous tissues adjacent to orthopedic implants: Variational indicator functions and influences of implant stiffness . . . . . . . . . . . . . . . 615--646 Derek J. Smith and Stephanie Forrest and David H. Ackley and Alan S. Perelson Using lazy evaluation to simulate realistic-size repertoires in models of the immune system . . . . . . . . . . . 647--658 Chikara Furusawa and Kunihiko Kaneko Emergence of rules in cell society: Differentiation, hierarchy, and stability . . . . . . . . . . . . . . . 659--687 I. Martinez de la Fuente and L. Martinez and N. Benitez and J. Veguillas and J. M. Aguirregabiria Persistent behavior in a phase-shift sequence of periodical biochemical oscillations . . . . . . . . . . . . . . 689--702 Alessandra Gragnani and Oscar De Feo and Sergio Rinaldi Food chains in the chemostat: Relationships between mean yield and complex dynamics . . . . . . . . . . . . 703--719 Vlastimil K\vrivan and Giovanni Colombo A non-stochastic approach for modeling uncertainty in population dynamics . . . 721--751 Eric Bonabeau and Guy Theraulaz and Jean-Louis Deneubourg Fixed response thresholds and the regulation of division of labor in insect societies . . . . . . . . . . . . 753--807 James A. Drake and Ernesto Pérez-Chavela Book reviews . . . . . . . . . . . . . . 809--814
Jay E. Mittenthal and Ao Yuan and Bertrand Clarke and Alexander Scheeline Designing metabolism: Alternative connectivities for the pentose phosphate pathway . . . . . . . . . . . . . . . . 815--856 A. R. A. Anderson and M. A. J. Chaplain Continuous and discrete mathematical models of tumor-induced angiogenesis . . 857--899 Nicholas A. M. Monk Restricted-range gradients and travelling fronts in a model of juxtacrine cell relay . . . . . . . . . 901--918 Maja Bra\vci\vc and Aneta Stefanovska Wavelet-based analysis of human blood-flow dynamics . . . . . . . . . . 919--935 Jonathan Pitchford and John Brindley Intratrophic predation in simple predator--prey models . . . . . . . . . 937--953 Frédéric Gosselin Reconciling theoretical approaches to stochastic patch-occupancy metapopulation models . . . . . . . . . 955--971 Daniel E. Bentil Distribution of attachment events relative to actin binding sites as evidenced in a bidirectional actomyosin interaction model . . . . . . . . . . . 973--995 Gerardo Hernandez Book review . . . . . . . . . . . . . . 997--998
Fatihcan M. Atay and John Mallet-Paret Modeling reflex asymmetries with implicit delay differential equations 999--1015 G. Civeleko\uglu and Y. Tardy and J.-J. Meister Modeling actin filament reorganization in endothelial cells subjected to cyclic stretch . . . . . . . . . . . . . . . . 1017--1037 Richard H. Lathrop and Robert G. Rogers, Jr. and Temple F. Smith and James V. White A Bayes-optimal sequence-structure theory that unifies protein sequence-structure recognition and alignment . . . . . . . . . . . . . . . 1039--1071 Peter R. Wills and Stuart A. Kauffman and Barbel M. R. Stadler and Peter F. Stadler Selection dynamics in autocatalytic systems: Templates replicating through binary ligation . . . . . . . . . . . . 1073--1098 Vladimir S. Troynikov Probability density functions useful for parametrization of heterogeneity in growth and allometry data . . . . . . . 1099--1122 Boris Shulgin and Lewi Stone and Zvia Agur Pulse vaccination strategy in the SIR epidemic model . . . . . . . . . . . . . 1123--1148 J. Ch. Poggiale and J. Michalski and R. Arditi Emergence of donor control in patchy predator --- prey systems . . . . . . . 1149--1166 Gerda De Vries and Arthur Sherman and Hsiu-Rong Zhu Diffusively coupled bursters: Effects of cell heterogeneity . . . . . . . . . . . 1167--1200 Luis E. Eguiarte Book review . . . . . . . . . . . . . . 1201--1205
M. R. Bennett and L. Farnell and W. G. Gibson Cable analysis of a motor-nerve terminal branch in a volume conductor . . . . . . 1--17 Christian Jost and Ovide Arino and Roger Arditi About deterministic extinction in ratio-dependent predator--prey models 19--32 Rainer Malaka Models of classical conditioning . . . . 33--83 Mats Gyllenberg and Timo Koski and Tatu Lund and Helge G. Gyllenberg Bayesian predictive identification and cumulative classification of bacteria 85--111 Matthew R. Myers and C. David Lytle and Licia B. Routson A mathematical model for simulating virus transport through synthetic barriers . . . . . . . . . . . . . . . . 113--140 Liebe F. Cavalieri and Huseyin Kocak Comparative dynamics of three models for host-parasitoid interactions in a patchy environment . . . . . . . . . . . . . . 141--155 Roderick Edwards and Anne Beuter and Leon Glass Parkinsonian tremor and simplification in network dynamics . . . . . . . . . . 157--177 Asim Sikder Effects of parasitism over two competing host populations leading to persistence 179--205 Fred Adler Book review . . . . . . . . . . . . . . 207--208
Philip W. Kuchel and Edward D. Fackerell Parametric-equation representation of biconcave erythrocytes . . . . . . . . . 209--220 Osnat Eytan and David Elad Analysis of intra-uterine fluid motion induced by uterine contractions . . . . 221--238 Ulrich Franke and Kolumban Hutter and Klaus Jöhnk A physical-biological coupled model for algal dynamics in lakes . . . . . . . . 239--272 G. C. Chopra and B. D. Sleeman and J. Brindley and D. G. Knapp and A. V. Holden Velocity and stability of solitary planar travelling wave solutions of intracellular [Ca]$^{2+}$ . . . . . . . 273--301 Andrew M. Edwards and John Brindley Zooplankton mortality and the dynamical behaviour of plankton population models 303--339 Carlos M. Hernández-Suárez and Pablo A. Marquet and Jorge X. Velasco-Hernández Threshold parameters and metapopulation persistence . . . . . . . . . . . . . . 341--353 Vladimir S. Troynikov Use of Bayes theorem to correct size-specific sampling bias in growth data . . . . . . . . . . . . . . . . . . 355--363 Gejza Wimmer and Ladislav Dedík and Marek Michal and Andrea Mudríková and Mária \vDuri\vsová Numerical simulations of stochastic circulatory models . . . . . . . . . . . 365--377 Hisham A. El-Masri and Christopher J. Portier Replication potential of cells via the protein kinase C-MAPK pathway: Application of a mathematical model . . 379--398 Timothy H. Keitt and Bruce J. West Book reviews . . . . . . . . . . . . . . 399--401
Michael A. Fishman and Alan S. Perelson Th1/Th2 differentiation and cross-regulation . . . . . . . . . . . . 403--436 Christian Haslinger and Peter F. Stadler RNA structures with pseudo-knots: Graph-theoretical, combinatorial, and statistical properties . . . . . . . . . 437--467 N. F. Britton and L. W. Partridge and N. R. Franks A model of survival times for predator populations: The case of the army ants 469--482 R. A. Barrio and C. Varea and J. L. Aragón and P. K. Maini A two-dimensional numerical study of spatial pattern formation in interacting Turing systems . . . . . . . . . . . . . 483--505 Gérald Houart and Genevi\`eve Dupont and Albert Goldbeter Bursting, chaos and birhythmicity originating from self-modulation of the inositol 1,4,5-trisphosphate signal in a model for intracellular Ca$^{2+}$ oscillations . . . . . . . . . . . . . . 507--530 Kalle Parvinen Evolution of migration in a metapopulation . . . . . . . . . . . . . 531--550 Girma J. Orssengo and David C. Pye Determination of the true intraocular pressure and modulus of elasticity of the human cornea in vivo . . . . . . . . 551--572 I. M. De la Fuente and N. Benitez and A. Santamaria and J. M. Aguirregabiria and J. Veguillas Persistence in metabolic nets . . . . . 573--595 Benjamin Bolker and Octavio Miramontes Book reviews . . . . . . . . . . . . . . 597--600
K. E. Thompson and H. M. Byrne Modelling the internalization of labelled cells in tumour spheroids . . . 601--623 Hal Caswell and Ron Etter Cellular automaton models for competition in patchy environments: Facilitation, inhibition, and tolerance 625--649 Peter A. Spiro and Hans G. Othmer The effect of heterogeneously-distributed RyR channels on calcium dynamics in cardiac myocytes 651--681 James Lawry A hydrostatic Michell framework supports frog lungs . . . . . . . . . . . . . . . 683--700 K. Yusim and H. Parnas and L. Segel Theory of fast neurotransmitter release control based on voltage-dependent interaction between autoreceptors and proteins of the exocytotic machinery . . 701--725 Eric Bonabeau and Guy Theraulaz and Jean-Louis Deneubourg Dominance orders in animal societies: The self-organization hypothesis revisited . . . . . . . . . . . . . . . 727--757 Kevin E. Thompson and Janice A. Royds Hypoxia and reoxygenation: a pressure for mutant p53 cell selection and tumour progression . . . . . . . . . . . . . . 759--778 Benito M. Chen and Hristo V. Kojouharov Non-standard numerical methods applied to subsurface biobarrier formation models in porous media . . . . . . . . . 779--798 Horst R. Thieme and Luis Aguirre and Lourdes Esteva-Peralta Book reviews . . . . . . . . . . . . . . 799--805
Toshio Sekimura and Mei Zhu and Julian Cook and Philip K. Maini and James D. Murray Pattern formation of scale cells in lepidoptera by differential origin-dependent cell adhesion . . . . . 807--828 Stefano Focardi and Maurizio Rizzotto Optimal strategies and complexity: a theoretical analysis of the anti-predatory behavior of the hare . . 829--848 Benjamin M. Bolker Analytic models for the patchy spread of plant disease . . . . . . . . . . . . . 849--874 David N. Levine The pathogenesis of normal pressure hydrocephalus: a theoretical analysis 875--916 Mandri N. Obeyesekere and Stuart O. Zimmerman and Edwin S. Tecarro and Giles Auchmuty A model of cell cycle behavior dominated by kinetics of a pathway stimulated by growth factors . . . . . . . . . . . . . 917--934 Nikolaos I. Stilianakis and Johannes Seydel Modeling the T-cell dynamics and pathogenesis of HTLV-I infection . . . . 935--947 Masayuki Yokozawa Size hierarchy and stability in competitive plant populations . . . . . 949--961 E. Buchman and H. Parnas A theoretical experimental method to determine the locus of desensitization 963--986 Kumar Rajan and Narsingh Deo Computational experience with a parallel algorithm for tetrangle inequality bound smoothing . . . . . . . . . . . . . . . 987--1008 Pedro Miramontes and Jose Crossa Book reviews . . . . . . . . . . . . . . 1009--1013 Vladimir S. Troynikov Probability density functions useful for parametrization of heterogeneity in growth and allometry data . . . . . . . 1015--1016 Gerda De Vries and Arthur Sherman and Hsiu-Rong Zhu Diffusively coupled bursters: Effects of cell heterogeneity . . . . . . . . . . . 1017--1017
Henry Hägerstrand and Veronika Kralj-Igli\vc and Ma\lgorzata Bobrowska-Hägerstrand and Ale\vs Igli\vc Membrane skeleton detachment in spherical and cylindrical microexovesicles . . . . . . . . . . . . 1019--1030 Matthew C. Schuette and Herbert W. Hethcote Modeling the effects of varicella vaccination programs on the incidence of chickenpox and shingles . . . . . . . . 1031--1064 Alan M. Weinstein Modeling epithelial cell homeostasis: Steady-state analysis . . . . . . . . . 1065--1091 Edmund J. Crampin and Eamonn A. Gaffney and Philip K. Maini Reaction and diffusion on growing domains: Scenarios for robust pattern formation . . . . . . . . . . . . . . . 1093--1120 Shandelle M. Henson and R. F. Costantino and J. M. Cushing and Brian Dennis and Robert A. Desharnais Multiple attractors, saddles, and population dynamics in periodic habitats 1121--1149 Michael Mesterton-Gibbons On the evolution of pure winner and loser effects: a game-theoretic model 1151--1186 Ricard V. Solé and Javier G. P. Gamarra and Marta Ginovart and Daniel López Controlling chaos in ecology: From deterministic to individual-based models 1187--1207 Roger M. Nisbet Book review . . . . . . . . . . . . . . 1209--1210
Yehuda Katz and Itzhak Aharon Four applications of the anesthetic cut-off effect . . . . . . . . . . . . . 1--16 Micha Peleg and Joseph Horowitz On estimating the probability of aperiodic outbursts of microbial populations from their fluctuating counts . . . . . . . . . . . . . . . . . 17--35 Andrea Ciliberto and John J. Tyson Mathematical model for early development of the sea urchin embryo . . . . . . . . 37--59 William S. C. Gurney and A. Roy Veitch Self-organization, scale and stability in a spatial predator-prey interaction 61--86 J. Mosquera and M. Gómez-Gesteira and V. Pérez-Villar Using parasites as biological tags of fish populations: a dynamical model . . 87--99 M. Pernarowski Fast subsystem bifurcations in strongly coupled heterogeneous collections of excitable cells . . . . . . . . . . . . 101--120 Mihaela Oprea and Erik Van Nimwegen and Alan S. Perelson Dynamics of one-pass germinal center models: Implications for affinity maturation . . . . . . . . . . . . . . . 121--153 S. R.-J. Jang and Arun K. Mitra Equilibrium stability of single-species metapopulations . . . . . . . . . . . . 155--161 Martin H. Kroll Parathyroid hormone temporal effects on bone formation and resorption . . . . . 163--188 Fred Brauer and Graeme Ruxton and Stephen J. Merrill and Jonathan Heller and Daniel E. Bentil Book reviews . . . . . . . . . . . . . . 189--197
Garry L. Block and Linda J. S. Allen Population extinction and quasi-stationary behavior in stochastic density-dependent structured models . . 199--228 Claire D. Sherman and Christopher J. Portier Calculation of the cumulative distribution function of the time to a small observable tumor . . . . . . . . . 229--240 Amnon Horovitz and Ofer Yifrach On the relationship between the Hill coefficients for steady-state and transient kinetic data: a criterion for concerted transitions in allosteric proteins . . . . . . . . . . . . . . . . 241--246 Paul Smolen and Douglas A. Baxter and John H. Byrne Modeling transcriptional control in gene networks --- methods, recent results, and future directions . . . . . . . . . 247--292 H. J. Wearing and M. R. Owen and J. A. Sherratt Mathematical modelling of juxtacrine patterning . . . . . . . . . . . . . . . 293--320 S. Schnell and C. Mendoza Time-dependent closed form solutions for fully competitive enzyme reactions . . . 321--336 Jacques A. L. Silva and Manuela L. De Castro and Dagoberto A. R. Justo Synchronism in a metapopulation model 337--349 Emily Silverman and Mark Kot Rate estimation for a simple movement model . . . . . . . . . . . . . . . . . 351--375 J. E. Truscott and C. A. Gilligan and C. R. Webb Quantitative analysis and model simplification of an epidemic model with primary and secondary infection . . . . 377--393 Sarah Holte and Christpher M. Kribs-Zaleta Book reviews . . . . . . . . . . . . . . 395--398
Peter F. Stadler and Rudi Seitz and Günter P. Wagner Population dependent Fourier decomposition of fitness landscapes over recombination spaces: Evolvability of complex characters . . . . . . . . . . . 399--428 S. Ghorai and N. A. Hill Wavelengths of gyrotactic plumes in bioconvection . . . . . . . . . . . . . 429--450 M. Broom and C. Cannings and G. T. Vickers Evolution in knockout conflicts: The fixed strategy case . . . . . . . . . . 451--466 Jianfeng Feng and David Brown Integrate-and-fire models with nonlinear leakage . . . . . . . . . . . . . . . . 467--481 S. Schnell and P. K. Maini Enzyme kinetics at high enzyme concentration . . . . . . . . . . . . . 483--499 K. J. Painter and P. K. Maini and H. G. Othmer A chemotactic model for the advance and retreat of the primitive streak in avian development . . . . . . . . . . . . . . 501--525 Evans K. Afenya and Calixto P. Calderón Diverse ideas on the growth kinetics of disseminated cancer cells . . . . . . . 527--542 P. De Muynck and J. Cornelis and L. I. Titomir Multipole approach to the inverse problem in electrocardiology: Convergence of the multipole equivalent generator on the inhomogeneous body conductor . . . . . . . . . . . . . . . 543--583 David Greenhalgh Book review . . . . . . . . . . . . . . 585--588 Joaquín Delgado Fernandez Book review . . . . . . . . . . . . . . 588--590 Steven H. Strogatz Book review . . . . . . . . . . . . . . 591--593
Amar Gandhi and Simon Levin and Steven Orszag Moment expansions in spatial ecological models and moment closure through Gaussian approximation . . . . . . . . . 595--632 A. C. Fowler The effect of incubation time distribution on the extinction characteristics of a rabies epizootic 633--656 J. M. Devaud and B. Quenet and J. Gascuel and C. Masson Statistical analysis and parsimonious modelling of dendrograms of in vitro neurones . . . . . . . . . . . . . . . . 657--674 Brian K. Davis Darwinian aspects of molecular evolution at sublinear propagation rates . . . . . 675--694 Paul R. Shorten and David J. N. Wall A Hodgkin--Huxley model exhibiting bursting oscillations . . . . . . . . . 695--715 K. Yusim and H. Parnas and L. A. Segel Theory for the feedback inhibition of fast release of neurotransmitter . . . . 717--757 Ludo Pagie and Paulien Hogeweg Individual-and population-based diversity in restriction-modification systems . . . . . . . . . . . . . . . . 759--774 R. N. Bearon and T. J. Pedley Modelling run-and-tumble chemotaxis in a shear flow . . . . . . . . . . . . . . . 775--791 Thomas Caraco and Stephan Glavanakov Book review: \booktitleSampling and Statistical Methods for Behavioral Ecologists, by J. Bart, M. A. Fligner and W. I. Notz, Cambridge University Press, New York, 1998. \$29.95 (paperback), 330 pp. ISBN 0-521-45705-X} 793--794 E. J. Muñoz-Martínez Book review: \booktitleSmall Worlds: The Dynamics of Networks Between Order and Randomness, by Duncan J. Watts, (Princeton Studies in Complexity), Princeton University Press, 1999. \$39.50 (hardcover), 262 pp. ISBN 0-691-00541-9} . . . . . . . . . . . . . 795--797 Israel A. Wagner Book review: \booktitleInformation Processing in Social Insects, by C. Detrain, J. L. Deneubourg and Jacques M. Pasteels (Editors), Birkhäuser, 1999. \$130.00, 415 pp. ISBN 0-817-65792-4} 799--801
Erik van Nimwegen and James P. Crutchfield Metastable evolutionary dynamics: Crossing fitness barriers or escaping via neutral paths? . . . . . . . . . . . 799--848 Lud\vek Berec Mixed encounters, limited perception and optimal foraging . . . . . . . . . . . . 849--868 Sergei S. Pilyugin and Rustom Antia Modeling immune responses with handling time . . . . . . . . . . . . . . . . . . 869--890 David M. Broday Diffusion of clusters of transmembrane proteins as a model of focal adhesion remodeling . . . . . . . . . . . . . . . 891--924 S. L. Ipiña and A. I. Durand A measure of sexual dimorphism in populations which are univariate normal mixtures . . . . . . . . . . . . . . . . 925--941 Rampal S. Etienne Local populations of different sizes, mechanistic rescue effect and patch preference in the Levins metapopulation model . . . . . . . . . . . . . . . . . 943--958 Robin E. Snyder and Roger M. Nisbet Spatial structure and fluctuations in the contact process and related models 959--975 James A. Powell and Janette L. Jenkins and Jesse A. Logan and Barbara J. Bentz Seasonal temperature alone can synchronize life cycles . . . . . . . . 977--998 Gerardo Hernández Book review . . . . . . . . . . . . . . 999--1000 Brian K. Davis Erratum: Darwinian aspects of molecular evolution at sublinear propagation rates 1001--1001
D. R. Clother and J. Brindley Stochastic development of individual members of a population: a Brownian motion approach . . . . . . . . . . . . 1003--1034 Stefan Mayer Numerical simulation of flow fields and particle trajectories in ciliary suspension feeding . . . . . . . . . . . 1035--1059 Bärbel M. R. Stadler and Peter F. Stadler and Peter Schuster Dynamics of autocatalytic replicator networks based on higher-order ligation reactions . . . . . . . . . . . . . . . 1061--1086 George K. Hung and Kenneth J. Ciuffreda A unifying theory of refractive error development . . . . . . . . . . . . . . 1087--1108 Lars Witting Population cycles caused by selection by density dependent competitive interactions . . . . . . . . . . . . . . 1109--1136 Irakli Loladze and Yang Kuang and James J. Elser Stoichiometry in producer--grazer systems: Linking energy flow with element cycling . . . . . . . . . . . . 1137--1162 Erik B. Muller and Roger M. Nisbet Survival and production in variable resource environments . . . . . . . . . 1163--1189 Steven M. Baer and Warren J. Ewens and C. M. Hernandez-Suarez Book reviews . . . . . . . . . . . . . . 1191--1194
S. Coombes The effect of ion pumps on the speed of travelling waves in the fire-diffuse-fire model of Ca$^{2+}$ release . . . . . . . . . . . . . . . . 1--20 Oliver Ebenhöh and Reinhart Heinrich Evolutionary optimization of metabolic pathways. Theoretical reconstruction of the stoichiometry of ATP and NADH producing systems . . . . . . . . . . . 21--55 Christian Reidys and Christian V. Forst and Peter Schuster Replication and mutation on neutral networks . . . . . . . . . . . . . . . . 57--94 Jack D. Dockery and James P. Keener A mathematical model for quorum sensing in \bionamePseudomonas aeruginosa . . . 95--116 H. Dopazo and M. B. Gordon and R. Perazzo and S. Risau-Gusman A model for the interaction of learning and evolution . . . . . . . . . . . . . 117--134 D. Gammack and H. M. Byrne and C. E. Lewis Estimating the selective advantage of mutant p53 tumour cells to repeated rounds of hypoxia . . . . . . . . . . . 135--166 M. Pernarowski Controllability of excitable systems . . 167--184 Spyros Papageorgiou A physical force may expose Hox genes to express in a morphogenetic density gradient . . . . . . . . . . . . . . . . 185--200 Kirk A. Moloney and Lourdes Esteva-Peralta and Craig Henriquez Book reviews . . . . . . . . . . . . . . 201--205
Rui Dilão and Tiago Domingos Periodic and quasi-periodic behavior in resource-dependent age structured population models . . . . . . . . . . . 207--230 G. J. Pettet and C. P. Please and M. J. Tindall and D. L. S. McElwain The migration of cells in multicell tumor spheroids . . . . . . . . . . . . 231--257 J. Grasman and F. van den Bosch and O. A. van Herwaarden Mathematical conservation ecology: a one-predator-two-prey system as case study . . . . . . . . . . . . . . . . . 259--269 B. W. Kooi and P. P. F. Hanegraaf Bi-trophic food chain dynamics with multiple component populations . . . . . 271--299 David A. Edwards The effect of a receptor layer on the measurement of rate constants . . . . . 301--327 Donald A. Drew A mathematical model for prokaryotic protein synthesis . . . . . . . . . . . 329--351 Beatriz Fuentes-Pardo and Miguel Lara-Aparicio and Santiago López de Medrano On the ontogeny of the motor circadian rhythm in crayfish . . . . . . . . . . . 353--369 Gerda de Vries and Arthur Sherman From spikers to bursters via coupling: Help from heterogeneity . . . . . . . . 371--391 Frank P. Kozusko Body weight setpoint, metabolic adaption and human starvation . . . . . . . . . . 393--403
Claudia Bergmann and J. Leo van Hemmen and Lee A. Segel Th1 or Th2: How an appropriate T helper response can be made . . . . . . . . . . 405--430 C. A. Heckman and C. S. Runyeon and J. G. Wade and S. Seubert Mathematical modeling of marker influx and efflux in cells . . . . . . . . . . 431--449 Natalia L. Komarova and Martin A. Nowak The evolutionary dynamics of the lexical matrix . . . . . . . . . . . . . . . . . 451--484 Jacques A. L. Silva and Manuela L. De Castro and Dagoberto A. R. Justo Stability in a metapopulation model with density-dependent dispersal . . . . . . 485--505 Luis García-Barrios and David Mayer-Foulkes and Miguel Franco and Guillermo Urquijo-Vásquez and Juan Franco-Pérez Development and validation of a spatially explicit individual-based mixed crop growth model . . . . . . . . 507--526 Jonathan William Pitchford and John Brindley Prey patchiness, predator survival and fish recruitment . . . . . . . . . . . . 527--546 Diego J. Rodríguez and Lourdes Torres-Sorando Models of infectious diseases in spatially heterogeneous environments . . 547--571 Janette L. Jenkins and James A. Powell and Jesse A. Logan and Barbara J. Bentz Low seasonal temperatures promote life cycle synchronization . . . . . . . . . 573--595 Philip Gerrish and Hong Qian Book reviews . . . . . . . . . . . . . . 597--601
J. A. N. Filipe and G. J. Gibson Comparing approximations to spatio-temporal models for epidemics with local spread . . . . . . . . . . . 603--624 James P. Keener Diffusion induced oscillatory insulin secretion . . . . . . . . . . . . . . . 625--641 Fumio Oosawa Spontaneous signal generation in living cells . . . . . . . . . . . . . . . . . 643--654 M. R. Owen and M. A. Lewis How predation can slow, stop or reverse a prey invasion . . . . . . . . . . . . 655--684 C. Utzny and N. J. Burroughs Stability of a diverse immunological memory is determined by T cell population dynamics . . . . . . . . . . 685--713 Claus O. Wilke Adaptive evolution on neutral networks 715--730 Joseph T. Wu and Helen M. Byrne and David H. Kirn and Lawrence M. Wein Modeling and analysis of a virus that replicates selectively in tumor cells 731--768 B. W. Kooi and T. G. Hallam and F. D. L. Kelpin and C. M. Krohn and S. A. L. M. Kooijman Iteroparous reproduction strategies and population dynamics . . . . . . . . . . 769--794 Donald L. DeAngelis and Germinal Cocho Book reviews . . . . . . . . . . . . . . 795--799
Howard A. Levine and Serdal Pamuk and Brian D. Sleeman and Marit Nilsen-Hamilton Mathematical modeling of capillary formation and development in tumor angiogenesis: Penetration into the stroma . . . . . . . . . . . . . . . . . 801--863 H. Schöllnberger and B. R. Scott and T. E. Hanson Application of Bayesian inference to characterize risks associated with low doses of low-LET radiation . . . . . . . 865--883 Petr Lánský and Wayne M. Getz Receptor heterogeneity and its effect on sensitivity and coding range in olfactory sensory neurons . . . . . . . 885--908 Steven J. Cox and Lin Ji Discerning ionic currents and their kinetics from input impedance data . . . 909--932 Yi Fang and Susan R. Wilson On cloning and clone libraries for finite and infinite length genomes . . . 933--950 D. J. T. Sumpter and G. B. Blanchard and D. S. Broomhead Ants and agents: a process algebra approach to modelling ant colony behaviour . . . . . . . . . . . . . . . 951--980 Mats Gyllenberg and Kalle Parvinen Necessary and sufficient conditions for evolutionary suicide . . . . . . . . . . 981--993 Stan Pounds Estimating the fraction of clonable genomic DNA . . . . . . . . . . . . . . 995--1002 Frank Kozusko Book review . . . . . . . . . . . . . . 1003--1003
Robert Engel and Mark Normand and Joseph Horowitz and Micha Peleg A model of microbial contamination of a water reservoir . . . . . . . . . . . . 1005--1023 K. Yusim and H. Parnas and L. A. Segel One-vesicle hypothesis for neurotransmitter release: a possible molecular mechanism . . . . . . . . . . 1025--1040 F. A. B. Coutinho and L. F. Lopez and M. N. Burattini and E. Massad Modelling the natural history of HIV infection in individuals and its epidemiological implications . . . . . . 1041--1062 Liran Carmel and David Harel and Doron Lancet Estimating the size of the olfactory repertoire . . . . . . . . . . . . . . . 1063--1078 Guy Theraulaz and Eric Bonabeau and Christian Sauwens and Jean-Louis Deneubourg and Arnaud Lioni and François Libert and Luc Passera and Ricard Solé Model of droplet dynamics in the Argentine ant \bionameLinepithema humile (Mayr) . . . . . . . . . . . . . . . . . 1079--1093 Ute Ebert and Manuel Arrayás and Nico Temme and Ben Sommeijer and Jef Huisman Critical conditions for phytoplankton blooms . . . . . . . . . . . . . . . . . 1095--1124 Wendy A. M. Brandts and André Longtin and Lynn E. H. Trainor Two-category model of task allocation with application to ant societies . . . 1125--1161 Joseph S. Oliveira and Colin G. Bailey and Janet B. Jones-Oliveira and David A. Dixon An algebraic-combinatorial model for the identification and mapping of biochemical pathways . . . . . . . . . . 1163--1196 Eberhard O. Voit Book review . . . . . . . . . . . . . . 1197--1198 Ana Barahona Book review . . . . . . . . . . . . . . 1199--1200
Philip K. Maini Editorial . . . . . . . . . . . . . . . 1--1 T. Aittokallio and M. Gyllenberg and O. Polo Adjustment of the human respiratory system to increased upper airway resistance during sleep . . . . . . . . 3--28 Duncan S. Callaway and Alan S. Perelson HIV-1 infection and low steady state viral loads . . . . . . . . . . . . . . 29--64 C. A. Cobbold and J. A. Sherratt and S. R. J. Maxwell Lipoprotein oxidation and its significance for atherosclerosis: a mathematical approach . . . . . . . . . 65--95 R. A. Albanese and H. T. Banks and M. V. Evans and L. K. Potter Physiologically based pharmacokinetic models for the transport of trichloroethylene in adipose tissue . . 97--131 Zvi Kam Generalized analysis of experimental data for interrelated biological measurements . . . . . . . . . . . . . . 133--145 Mojdeh Mohtashemi and Richard Levins Qualitative analysis of the all-cause black-white mortality crossover . . . . 147--173 J. L. W. Gielen and S. Kranenbarg Oxygen balance for small organisms: an analytical model . . . . . . . . . . . . 175--207 Ricard V. Sole and Javier G. P. Gamarra Book review . . . . . . . . . . . . . . 209--212
Ivan V. Maly Diffusion approximation of the stochastic process of microtubule assembly . . . . . . . . . . . . . . . . 213--238 A. J. Koerber and J. R. King and J. P. Ward and P. Williams and J. M. Croft and R. E. Sockett A mathematical model of partial-thickness burn-wound infection by Pseudomonas aeruginosa: Quorum sensing and the build-up to invasion . . 239--259 Brian K. Briscoe and Mark A. Lewis and Stephen E. Parrish Home range formation in wolves due to scent marking . . . . . . . . . . . . . 261--284 Madjid Khosroyani and George K. Hung A dual-mode dynamic model of the human accommodation system . . . . . . . . . . 285--299 Alberto Marín-Sanguino and Néstor V. Torres Modelling, steady state analysis and optimization of the catalytic efficiency of the triosephosphate isomerase . . . . 301--326 Athanasius F. M. Marée and Paulien Hogeweg Modelling \bionameDictyostelium discoideum morphogenesis: The culmination . . . . . . . . . . . . . . 327--353 Alessandro Bertuzzi and Mario Faretta and Alberto Gandolfi and Carmela Sinisgalli and Giuseppe Starace and Giorgio Valoti and Paolo Ubezio Kinetic heterogeneity of an experimental tumour revealed by BrdUrd incorporation and mathematical modelling . . . . . . . 355--384 Ruy M. Ribeiro and Hiroshi Mohri and David D. Ho and Alan S. Perelson Modeling deuterated glucose labeling of T-lymphocytes . . . . . . . . . . . . . 385--405 Yuki Kagawa and Yoshimi Tsuchiya Stochasticity of the step size in the force generating process due to a single myosin molecule . . . . . . . . . . . . 407--419 Renee Fister Book review . . . . . . . . . . . . . . 421--422 H. A. Levine and S. Pamuk and B. D. Sleeman and M. Nilsen-Hamilton Mathematical modeling of capillary formation and development in tumor angiogenesis: Penetration into the stroma . . . . . . . . . . . . . . . . . 423--423
Claudia Bergmann and J. Leo van Hemmen and Lee A. Segel How instruction and feedback can select the appropriate T helper response . . . 425--446 R. Kuske and S. M. Baer Asymptotic analysis of noise sensitivity in a neuronal burster . . . . . . . . . 447--481 Patrick Lafrance and Vincent Lemaire and France Varin and François Donati and Jacques Bélair and Fahima Nekka Spatial effects in modeling pharmacokinetics of rapid action drugs 483--500 Anotida Madzvamuse and Roger D. K. Thomas and Philip K. Maini and Andrew J. Wathen A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves . . . . . . 501--530 David M. Broday Motion of nanobeads proximate to plasma membranes during single particle tracking . . . . . . . . . . . . . . . . 531--563 M. A. Bees and P. Andresén and E. Mosekilde and M. Givskov Quantitative effects of medium hardness and nutrient availability on the swarming motility of \bionameSerratia liquefaciens . . . . . . . . . . . . . . 565--587 Ken Biegeleisen Topologically non-linked circular duplex DNA . . . . . . . . . . . . . . . . . . 589--609 Javier G. P. Gamarra and Ricard V. Solé Complex discrete dynamics from simple continuous population models . . . . . . 611--620 Jorge Soberón Book review . . . . . . . . . . . . . . 621--622
Jonathan A. Sherratt and Richard Weller and Nicholas J. Savill Modelling blood flow regulation by nitric oxide in psoriatic plaques . . . 623--641 Tomoyoshi Yoshigaki The cleavage plane will bend when one aster of the mitotic apparatus stops growing in compressed sea urchin eggs 643--672 S. R. McDougall and A. R. A. Anderson and M. A. J. Chaplain and J. A. Sherratt Mathematical modelling of flow through vascular networks: Implications for tumour-induced angiogenesis and chemotherapy strategies . . . . . . . . 673--702 Max Shpak and Kevin Atteson A survey of unequal crossover systems and their mathematical properties . . . 703--746 E. J. Crampin and W. W. Hackborn and P. K. Maini Pattern formation in reaction--diffusion models with nonuniform domain growth . . 747--769 István Miklós An improved algorithm for statistical alignment of sequences related by a star tree . . . . . . . . . . . . . . . . . . 771--779 H. A. van den Berg and N. J. Burroughs and D. A. Rand Quantifying the strength of ligand antagonism in TCR triggering . . . . . . 781--808 Michael A. Fishman and Lewi Stone Fertility assurance through extrapair fertilization, and male parental effort 809--823 Javier A. Simonetti Book review . . . . . . . . . . . . . . 825--826 J. M. Cushing Book review . . . . . . . . . . . . . . 827--828
Carlo R. Laing and André Longtin A two-variable model of somatic-dendritic interactions in a bursting neuron . . . . . . . . . . . . 829--860 Eliezer Shochat and Salomon M. Stemmer and Lee Segel Human haematopoiesis in steady state and following intense perturbations . . . . 861--886 William S. Hlavacek and Antonio Redondo and Carla Wofsy and Byron Goldstein Kinetic proofreading in receptor-mediated transduction of cellular signals: Receptor aggregation, partially activated receptors, and cytosolic messengers . . . . . . . . . . 887--911 David Alonso and Alan McKane Extinction dynamics in mainland--island metapopulations: an $N$-patch stochastic model . . . . . . . . . . . . . . . . . 913--958 Mats Gyllenberg and Diana Preoteasa and Kari Saikkonen Vertically transmitted symbionts in structured host metapopulations . . . . 959--978 Brenda Farrell and Steven J. Cox Estimating the time course of pore expansion during the spike phase of exocytotic release in mast cells of the beige mouse . . . . . . . . . . . . . . 979--1010 David L. Craft and Lawrence M. Wein and Dennis J. Selkoe A mathematical model of the impact of novel treatments on the $ A \beta $ burden in the Alzheimer's brain, CSF and plasma . . . . . . . . . . . . . . . . . 1011--1031
Martin Nilsson and Nigel Snoad Optimal mutation rates in dynamic environments . . . . . . . . . . . . . . 1033--1043 Robert Planqué and Nicholas F. Britton and Nigel R. Franks and Mark A. Peletier The adaptiveness of defence strategies against cuckoo parasitism . . . . . . . 1045--1068 Ichiji Tasaki and Gen Matsumoto On the cable theory of nerve conduction 1069--1082 Peter Jòrgensen and Carsten Schäfer and Peter G. Guerra and Mario Talajic and Stanley Nattel and Leon Glass A mathematical model of human atrioventricular nodal function incorporating concealed conduction . . . 1083--1099 Karen M. Page and Martin A. Nowak Empathy leads to fairness . . . . . . . 1101--1116 Jonathan Burns and Geoff Clarke and Charles J. Lumsden Photoreceptor death: Spatiotemporal patterns arising from one-hit death kinetics and a diffusible cell death factor . . . . . . . . . . . . . . . . . 1117--1145 Philip Gerrish Book review . . . . . . . . . . . . . . 1147--1147 M. Shpak and K. Atteson A survey of unequal crossover systems and their mathematical properties . . . 1149--1149
Lisa Sattenspiel and D. Ann Herring Simulating the effect of quarantine on the spread of the 1918--19 flu in Central Canada . . . . . . . . . . . . . 1--26 H. Dopazo and M. B. Gordon and R. Perazzo and S. Risau-Gusman A model for the emergence of adaptive subsystems . . . . . . . . . . . . . . . 27--56 Harald Jockusch and Andreas Dress From sphere to torus: a topological view of the metazoan body plan . . . . . . . 57--65 W. Garrett Mitchener and Martin A. Nowak Competitive exclusion and coexistence of universal grammars . . . . . . . . . . . 67--93 J. Krishnan and P. A. Iglesias Analysis of the signal transduction properties of a module of spatial sensing in eukaryotic chemotaxis . . . . 95--128 Gordon A. Fox and Alan Hastings Limiting relationships between selection and recombination . . . . . . . . . . . 129--141 Yunxin Huang and Odo Diekmann Interspecific influence on mobility and Turing instability . . . . . . . . . . . 143--156 Leona Harris Clark and Paul M. Schlosser and James F. Selgrade Multiple stable periodic solutions in a model for hormonal control of the menstrual cycle . . . . . . . . . . . . 157--173 Julio A. Hernández Stability properties of elementary dynamic models of membrane transport . . 175--197
Mali Salmon-Divon and Petter Höglund and Ramit Mehr Generation of the natural killer cell repertoire: The sequential vs. the two-step selection model . . . . . . . . 199--218 Micha Peleg and Mark D. Normand and Osvaldo H. Campanella Estimating microbial inactivation parameters from survival curves obtained under varying conditions --- The linear case . . . . . . . . . . . . . . . . . . 219--234 K. A. Landman and G. J. Pettet and D. F. Newgreen Mathematical models of cell colonization of uniformly growing domains . . . . . . 235--262 Jerome K. Percus and Ora E. Percus and Martin Markowitz and David D. Ho and Michele Di Mascio and Alan S. Perelson The distribution of viral blips observed in HIV-1 infected patients treated with combination antiretroviral therapy . . . 263--277 M. J. García-Meseguer and J. A. Vidal de Labra and M. García-Moreno and F. García-Cánovas and B. H. Havsteen and R. Varón Mean residence times in linear compartmental systems. Symbolic formulae for their direct evaluation . . . . . . 279--308 Michael G. Sadovsky The method to compare nucleotide sequences based on the minimum entropy principle . . . . . . . . . . . . . . . 309--322 Oliver Ebenhöh and Reinhart Heinrich Stoichiometric design of metabolic networks: Multifunctionality, clusters, optimization, weak and strong robustness 323--357
Can Ke\csmir and Rob J. De Boer Clonal exhaustion as a result of immune deviation . . . . . . . . . . . . . . . 359--374 Yoram Louzoun and Sorin Solomon and Henri Atlan and Irun R. Cohen Proliferation and competition in discrete biological systems . . . . . . 375--396 A. D. Barbour and Roman Kälin The duration of a sequence of epidemics 397--405 Ayla Ergun and Kevin Camphausen and Lawrence M. Wein Optimal scheduling of radiotherapy and angiogenic inhibitors . . . . . . . . . 407--424 Sergei Petrovskii and Bai-Lian Li and Horst Malchow Quantification of the spatial aspect of chaotic dynamics in biological and chemical systems . . . . . . . . . . . . 425--446 Graeme P. Boswell and Helen Jacobs and Fordyce A. Davidson and Geoffrey M. Gadd and Karl Ritz Growth and function of fungal mycelia in heterogeneous environments . . . . . . . 447--477 Sanyi Tang and Lansun Chen Multiple attractors in stage-structured population models with birth pulses . . 479--495 Yang Kuang and William F. Fagan and Irakli Loladze Biodiversity, habitat area, resource growth rate and interference competition 497--518 G. Abramson and V. M. Kenkre and T. L. Yates and R. R. Parmenter Traveling waves of infection in the hantavirus epidemics . . . . . . . . . . 519--534 Yoram Louzoun and Martin Weigert and Gyan Bhanot Dynamical analysis of a degenerate primary and secondary humoral immune response . . . . . . . . . . . . . . . . 535--545 Abba Gumel and Lloyd Demetrius Book reviews: \booktitleMathematical Approaches for Emerging and Re-emerging Infectious Diseases: an Introduction by Carlos Castillo Chavez, Sally Blower, Pauline van der Driessche, Denise Kirshner and Abdul Aziz Yakubu, 2002. IMA Volumes in Mathematics and its Applications 125, Springer-Verlag. \$79.95, ISBN 0-387-95354-X} . . . . . . 547--552
Hui-Chih Hung and Yu-Hou Chen and Guang-Yaw Liu and Hwei-Jen Lee and Gu-Gang Chang Equilibrium protein folding-unfolding process involving multiple intermediates 553--570 Wayne Nagata and Lionel G. Harrison and Stephan Wehner Reaction--diffusion models of growing plant tips: Bifurcations on hemispheres 571--607 Christopher J. W. Breward and Helen M. Byrne and Claire E. Lewis A multiphase model describing vascular tumour growth . . . . . . . . . . . . . 609--640 Stefan Reinker and Ernest Puil and Robert M. Miura Resonances and noise in a stochastic Hindmarsh--Rose model of thalamic neurons . . . . . . . . . . . . . . . . 641--663 M. Marcano-Velázquez and Harold E. Layton An inverse algorithm for a mathematical model of an avian urine concentrating mechanism . . . . . . . . . . . . . . . 665--691 Magdalena Luca and Alexandra Chavez-Ross and Leah Edelstein-Keshet and Alex Mogilner Chemotactic signaling, microglia, and Alzheimer's disease senile plaques: Is there a connection? . . . . . . . . . . 693--730 S. J. Till and J. Till and P. K. Milsom and G. Rowlands A new model for laser-induced thermal damage in the retina . . . . . . . . . . 731--746 Andreas Fahlman and Susan R. Kayar Probabilistic modelling for estimating gas kinetics and decompression sickness risk in pigs during H$_2$ biochemical decompression . . . . . . . . . . . . . 747--766
Colleen C. Mitchell and David G. Schaeffer A two-current model for the dynamics of cardiac membrane . . . . . . . . . . . . 767--793 S. C. Nicolis and C. Detrain and D. Demolin and J. L. Deneubourg Optimality of collective choices: a stochastic approach . . . . . . . . . . 795--808 Konstadia Lika and Sebastiaan A. L. M. Kooijman Life history implications of allocation to growth versus reproduction in dynamic energy budgets . . . . . . . . . . . . . 809--834 M. J. Beynon and K. L. Buchanan An illustration of variable precision rough set theory: The gender classification of the European barn swallow (\bionameHirundo rustica) . . . 835--858 Anita T. Layton and Harold E. Layton A region-based model framework for the rat urine concentrating mechanism . . . 859--901 Alessandro Bertuzzi and Alberto D'Onofrio and Antonio Fasano and Alberto Gandolfi Regression and regrowth of tumour cords following single-dose anticancer treatment . . . . . . . . . . . . . . . 903--931 C. Y. Chen and Y. Cordeaux and S. J. Hill and J. R. King Modelling of signalling via G-protein coupled receptors: Pathway-dependent agonist potency and efficacy . . . . . . 933--958 Miguel Lara-Aparicio Book review: \booktitleThe geometry of biological time by Arthur Winfree, Springer-Verlag, New York, 2nd edition, \$89.95 (hardcover), 800 pp. ISBN 0-387-98992-7, 2001} . . . . . . . . . . 959--960 Ulrich H. E. Hansmann Book review: \booktitleProtein physics --- a course of lectures by Alexei V. Finkelstein and Oleg B. Ptitsyn, 2002. Academic Press. \$80.00US, 354 pp., ISBN 0-12-256781-1} . . . . . . . . . . . . . 961--962
Simeone Marino and Suman Ganguli and Ian M. P. Joseph and Denise E. Kirschner The importance of an inter-compartmental delay in a model for human gastric acid secretion . . . . . . . . . . . . . . . 963--990 Humberto González Díaz and Ronal Ramos De Armas and Reinaldo Molina Vibrational Markovian modelling of footprints after the interaction of antibiotics with the packaging region of HIV type 1 . . . . . . . . . . . . . . . 991--1002 Daniel Coombs and Michael A. Gilchrist and Jerome Percus and Alan S. Perelson Optimal viral production . . . . . . . . 1003--1023 Vincent Devloo and Pierre Hansen and Martine Labbé Identification of all steady states in large networks by logical analysis . . . 1025--1051 D. L. Chopp and M. J. Kirisits and B. Moran and M. R. Parsek The dependence of quorum sensing on the depth of a growing biofilm . . . . . . . 1053--1079 Noël Bonneuil Making ecosystem models viable . . . . . 1081--1094 Andrew Heyd and Donald A. Drew A mathematical model for elongation of a peptide chain . . . . . . . . . . . . . 1095--1109 A. R. Tzafriri Michaelis--Menten kinetics at high enzyme concentrations . . . . . . . . . 1111--1129 Malka Gorfine and Laurence Freedman and Gitit Shahaf and Ramit Mehr Maximum likelihood estimator and likelihood ratio test in complex models: an application to B lymphocyte development . . . . . . . . . . . . . . 1131--1139 Nicolas P. Smith From sarcomere to cell: an efficient algorithm for linking mathematical models of muscle contraction . . . . . . 1141--1162 John Morgan and Ken Steiglitz Pairwise competition and the replicator equation . . . . . . . . . . . . . . . . 1163--1172 Marcus Rowcliffe Book review: \booktitleEstimating animal abundance --- closed populations by D. L. Borchers, W. Zucchini and S. T. Buckland, 2002. Springer-Verlag. \$69.95, 314 pp., 91 illus. Hardcover, ISBN 1-85233-560-2} . . . . . . . . . . 1173--1174
Alf H. Òien Daphnicle dynamics based on kinetic theory: an analogue-modelling of swarming and behaviour of \bionameDaphnia . . . . . . . . . . . . 1--46 Michael A. Fishman and Lewi Stone Indiscriminate polyandry and male parental effort . . . . . . . . . . . . 47--63 Greg Lemon Fire-diffuse-fire calcium waves in confined intracellular spaces . . . . . 65--90 I. Gudelj and K. A. J. White and N. F. Britton The effects of spatial movement and group interactions on disease dynamics of social animals . . . . . . . . . . . 91--108 Q. J. A. Khan and E. Balakrishnan and G. C. Wake Analysis of a predator-prey system with predator switching . . . . . . . . . . . 109--123 Michael Meyer-Hermann and Tilo Beyer The type of seeder cells determines the efficiency of germinal center reactions 125--141 Ying-Hen Hsieh and Chien Hsun Chen Modelling the social dynamics of a sex industry: Its implications for spread of HIV/AIDS . . . . . . . . . . . . . . . . 143--166 Maria E. Gracheva and Hans G. Othmer A continuum model of motility in ameboid cells . . . . . . . . . . . . . . . . . 167--193 Alberto de la Fuente and Pedro Mendes Book review: \booktitleComputational analysis of biochemical systems, by Eberhart O. Voit, November 2000. Paperback (hardback), 544 pages, \$140.00, ISBN 0-521-78579-0} . . . . . 195--197
Katarzyna A. Rejniak and Harvey J. Kliman and Lisa J. Fauci A computational model of the mechanics of growth of the villous trophoblast bilayer . . . . . . . . . . . . . . . . 199--232 V. N. Biktashev and J. Brindley Phytoplankton blooms and fish recruitment rate: Effects of spatial distribution . . . . . . . . . . . . . . 233--259 Hidde de Jong and Johannes Geiselmann and Grégory Batt and Céline Hernandez and Michel Page Qualitative simulation of the initiation of sporulation in \bionameBacillus subtilis . . . . . . . . . . . . . . . . 261--299 Hidde de Jong and Jean-Luc Gouzé and Céline Hernandez and Michel Page and Tewfik Sari and Johannes Geiselmann Qualitative simulation of genetic regulatory networks using piecewise-linear models . . . . . . . . 301--340 David H. Brown and Benjamin M. Bolker The effects of disease dispersal and host clustering on the epidemic threshold in plants . . . . . . . . . . 341--371 J. A. N. Filipe and W. Otten and G. J. Gibson and C. A. Gilligan Inferring the dynamics of a spatial epidemic from time-series data . . . . . 373--391 Santiago Schnell Book review: \booktitleParametric sensitivity in chemical systems by Arvind Varma, Massimo Morbidelli and Hua Wu, 1999. Cambridge series in chemical engineering, Cambridge University Press. \pounds 60.00/\$90.00, ISBN 0-521-62171-2} . . . . . . . . . . . . . 393--395
Tini Garske and Uwe Grimm A maximum principle for the mutation-selection equilibrium of nucleotide sequences . . . . . . . . . . 397--421 Kuan-Chou Chen and Chiung-Huei Peng and Hui-Er Wang and Chiung-Chi Peng and Robert Y. Peng Modeling of the pH- and the temperature-dependant deviations of the free to total PSA (Prostate Specific Antigen) ratios for clinical predictability of prostate cancer and benign prostate hyperplasia . . . . . . 423--445 Yun Wang Entity grammar systems: a grammatical tool for studying the hierarchal structures of biological systems . . . . 447--471 Paulo R. A. Campos Fixation of beneficial mutations in the presence of epistatic interactions . . . 473--486 Yunxin Huang and Odo Diekmann and Frank Van Den Bosch Double-jump migration and diffusive instability . . . . . . . . . . . . . . 487--504 Santiago L. Ipiña and Ana I. Durand Inferential assessment of the MI index of sexual dimorphism: a comparative study with some other sexual dimorphism measures . . . . . . . . . . . . . . . . 505--522 D. P. Wilson and S. Mathews and C. Wan and A. N. Pettitt and D. L. S. McElwain Use of a quantitative gene expression assay based on micro-array techniques and a mathematical model for the investigation of chlamydial generation time . . . . . . . . . . . . . . . . . . 523--537 Isabel S. Labouriau and Carla Alves-Pinto Loss of synchronization in partially coupled Hodgkin--Huxley equations . . . 539--557 R. E. Svetic and C. R. MacCluer and C. O. Buckley and K. L. Smythe and J. H. Jackson A metabolic force for gene clustering 559--581 Christopher J. Dugaw and Alan Hastings and Evan L. Preisser and Donald R. Strong Seasonally limited host supply generates microparasite population cycles . . . . 583--594
Philip K. Maini and Santiago Schnell and Sara Jolliffe Bulletin of mathematical biology --- facts, figures and comparisons . . . . . 595--603 Joseph T. Wu and David H. Kirn and Lawrence M. Wein Analysis of a three-way race between tumor growth, a replication-competent virus and an immune response . . . . . . 605--625 Takashi Miura and Philip K. Maini Speed of pattern appearance in reaction--diffusion models: Implications in the pattern formation of limb bud mesenchyme cells . . . . . . . . . . . . 627--649 Karen M. Page Language learning: How much evidence does a child need in order to learn to speak grammatically? . . . . . . . . . . 651--662 John D. Nagy Competition and natural selection in a mathematical model of cancer . . . . . . 663--687 Renée X. de Menezes and Neli R. S. Ortega and Eduardo Massad A Reed--Frost model taking into account uncertainties in the diagnostic of the infection . . . . . . . . . . . . . . . 689--706 J. David Logan and Anthony Joern and William Wolesensky Control of CNP homeostasis in herbivore consumers through differential assimilation . . . . . . . . . . . . . . 707--725 Yuishi Iwasaki and Sohei Gomi Stochastic formulation for a partial neural circuit of \bionameC. elegans . . 727--743 D. W. Verzi Modeling activity-dependent synapse restructuring . . . . . . . . . . . . . 745--762 Jacques M. Bahi and Christian J. Michel A stochastic gene evolution model with time dependent mutations . . . . . . . . 763--778 Hiroyasu Yamada and Reiko Tanaka and Toshiyuki Nakagaki Sequences of symmetry-breaking in phyllotactic transitions . . . . . . . . 779--789 S. J. Till and P. K. Milsom and G. Rowlands A simplified physical model of pressure wave dynamics and acoustic wave generation induced by laser absorption in the retina . . . . . . . . . . . . . 791--808 I. Klapper Effect of heterogeneous structure in mechanically unstressed biofilms on overall growth . . . . . . . . . . . . . 809--824 Richard J. Hall and Simon Gubbins and Christopher A. Gilligan Invasion of drug and pesticide resistance is determined by a trade-off between treatment efficacy and relative fitness . . . . . . . . . . . . . . . . 825--840 Nadarajah Kirupaharan and Linda J. S. Allen Coexistence of multiple pathogen strains in stochastic epidemic models with density-dependent mortality . . . . . . 841--864 Amit Huppert and Ronen Olinky and Lewi Stone Bottom-up excitable models of phytoplankton blooms . . . . . . . . . . 865--878 Andrei Korobeinikov Global properties of basic virus dynamics models . . . . . . . . . . . . 879--883 Alberto Capurro and C. P. Malta Noise autocorrelation and jamming avoidance performance in pulse type electric fish . . . . . . . . . . . . . 885--905 Maykel Pérez González and Maria del Carmen Terán Moldes QSAR study of $ N^6 $-(substituted-phenylcarbamoyl) adenosine-5'-uronamides as agonist for $ A_1 $ adenosine receptors . . . . . . . 907--920 Hector Puebla Book review: \booktitlePathway analysis and optimization in metabolic engineering by N. V. Torres and E. O. Voit, 2002, Cambridge University Press, Cambridge, UK, \$95.00 (hardback), ISBN 0-521-80038-2} . . . . . . . . . . . . . 921--923
Markus E. Nebel Investigation of the Bernoulli model for RNA secondary structures . . . . . . . . 925--964 Matthew He Genetic code, attributive mappings and stochastic matrices . . . . . . . . . . 965--973 A. B. Potapov and M. A. Lewis Climate and competition: The effect of moving range boundaries on habitat invasibility . . . . . . . . . . . . . . 975--1008 D. M. Bortz and P. W. Nelson Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics . . . . . . . . . . . . . . . . 1009--1026 J. A. N. Filipe and M. M. Maule and C. A. Gilligan On `Analytical models for the patchy spread of plant disease' . . . . . . . . 1027--1037 R. P. Araujo and D. L. S. McElwain A history of the study of solid tumour growth: The contribution of mathematical modelling . . . . . . . . . . . . . . . 1039--1091 Seema H. Bajaria and Glenn Webb and Denise E. Kirschner Predicting differential responses to structured treatment interruptions during HAART . . . . . . . . . . . . . . 1093--1118 A. Stéphanou and M. A. J. Chaplain and P. Tracqui A mathematical model for the dynamics of large membrane deformations of isolated fibroblasts . . . . . . . . . . . . . . 1119--1154 Jens Meier and Martin Kleen and Konrad Messmer A computer model of fractal myocardial perfusion heterogeneity to elucidate mechanisms of changes in critical coronary stenosis and hypotension . . . 1155--1171 Rafael A. Rosales MCMC for hidden Markov models incorporating aggregation of states and filtering . . . . . . . . . . . . . . . 1173--1199 Alan M. Weinstein Modeling epithelial cell homeostasis: Assessing recovery and control mechanisms . . . . . . . . . . . . . . . 1201--1240 Chi Ming Yang On the $ 28$-gon symmetry inherent in the genetic code intertwined with aminoacyl-tRNA synthetases --- The Lucas series . . . . . . . . . . . . . . . . . 1241--1257 R. J. Smith and L. M. Wahl Distinct effects of protease and reverse transcriptase inhibition in an immunological model of HIV-1 infection with impulsive drug effects . . . . . . 1259--1283 Humberto González Díaz and Iyusmila Bastida and Nilo Castañedo and Oslay Nasco and Ervelio Olazabal and Alcidez Morales and Hector S. Serrano and Ronal Ramos De Armas Simple stochastic fingerprints towards mathematical modelling in biology and medicine. 1. The treatment of coccidiosis . . . . . . . . . . . . . . 1285--1311 Richard Bertram and Arthur Sherman A calcium-based phantom bursting model for pancreatic islets . . . . . . . . . 1313--1344 Hugo Antonius van den Berg and Yuri Nikolaevich Kiselëv Expansion and contraction of the cytotoxic T lymphocyte response --- An optimal control approach . . . . . . . . 1345--1369 Takuyo Aita and Shunichi Morinaga and Yuzuru Husimi Thermodynamical interpretation of evolutionary dynamics on a fitness landscape in a evolution reactor, I . . 1371--1403 Matthew X. He and Sergei V. Petoukhov and Paolo E. Ricci Genetic code, Hamming distance and stochastic matrices . . . . . . . . . . 1405--1421 Jian-Jun Shu and Li Shan Ouw Pairwise alignment of the DNA sequence using hypercomplex number representation 1423--1438 Rudolf Gesztelyi and Judit Zsuga and Béla Juhász and Péter Dér and Miklós Vecsernyés and A. József Szentmiklósi Concentration estimation via curve fitting: Quantification of negative inotropic agents by using a simple mathematical method in guinea pig atria 1439--1453 Harald Jockusch and Andreas Dress Letter to the Editor . . . . . . . . . . 1455--1455 Francisco Solís Book review: \booktitleEssential Mathematical Biology by Nicholas Ferris Britton, Springer Verlag, 370 pages, \$34.95, ISBN 1-85233-536-X} . . . . . . 1457--1458 Paula Federico and Suzanne Lenhart Book review: \booktitleThe mathematics of marriage: dynamic linear models by John M. Gottman, James D. Murray, Catherine C. Swanson, Rebecca Tyson, and Kristin R. Swanson, 2002. Bradford Book, Massachusetts Institute of Technology Press, pp. 403, \$42.95, ISBN 0-262-07226-2} . . . . . . . . . . . . . 1459--1461
E. Bruce Pitman and Roman M. Zaritski and Kevin J. Kesseler and Leon C. Moore and Harold E. Layton Feedback-mediated dynamics in two coupled nephrons . . . . . . . . . . . . 1463--1492 Christina Warrender and Stephanie Forrest and Lee Segel Homeostasis of peripheral immune effectors . . . . . . . . . . . . . . . 1493--1514 G. Carrero and E. Crawford and M. J. Hendzel and G. de Vries Characterizing fluorescence recovery curves for nuclear proteins undergoing binding events . . . . . . . . . . . . . 1515--1545 Laura E. Jones and Stephen P. Ellner Evolutionary tradeoff and equilibrium in an aquatic predator-prey system . . . . 1547--1573 Brian Austin and Peter Dawyndt and Mats Gyllenberg and Timo Koski and Tatu Lund and Jean Swings and Fabiano L. Thompson Sliding window discretization: a new method for multiple band matching of bacterial genotyping fingerprints . . . 1575--1596 Rosana Motta Jafelice and Laécio Carvalho de Barros and Rodney Carlos Bassanezi and Fernando Gomide Fuzzy modeling in symptomatic HIV virus infected population . . . . . . . . . . 1597--1620 Christine Taylor and Drew Fudenberg and Akira Sasaki and Martin A. Nowak Evolutionary game dynamics in finite populations . . . . . . . . . . . . . . 1621--1644 Mark Broom and Roger M. Luther and Graeme D. Ruxton Resistance is useless? --- Extensions to the game theory of kleptoparasitism . . 1645--1658 Mini Ghosh and Andrea Pugliese Seasonal population dynamics of ticks, and its influence on infection transmission: a semi-discrete approach 1659--1684 Arild Wikan and Arne Eide An analysis of a nonlinear stage-structured cannibalism model with application to the Northeast Arctic cod stock . . . . . . . . . . . . . . . . . 1685--1704 J. R. Quine and Timothy A. Cross and Michael S. Chapman and Richard Bertram Mathematical aspects of protein structure determination with NMR orientational restraints . . . . . . . . 1705--1730 William S. C. Gurney and Roger M. Nisbet Resource allocation, hyperphagia and compensatory growth . . . . . . . . . . 1731--1753 Stephen J. Willson Constructing rooted supertrees using distances . . . . . . . . . . . . . . . 1755--1783 M. J. Plank and B. D. Sleeman Lattice and non-lattice models of tumour angiogenesis . . . . . . . . . . . . . . 1785--1819 Estella Gilbert and James A. Powell and Jesse A. Logan and Barbara J. Bentz Comparison of three models predicting developmental milestones given environmental and individual variation 1821--1850 D. Ambrosi and A. Gamba and G. Serini Cell directional and chemotaxis in vascular morphogenesis . . . . . . . . . 1851--1873 Gang Wang and Jianli Yuan and Xizhi Wang and Sa Xiao and Wenbing Huang Competitive regulation of plant allometry and a generalized model for the plant self-thinning process . . . . 1875--1885 R. Hinch Stability of cardiac waves . . . . . . . 1887--1908 R. M. Hillary and M. A. Bees Synchrony & chaos in patchy ecosystems 1909--1931 K. Renee Fister Book review: Elizabeth S. Allman and John A. Rhodes, \booktitleMathematical Models in Biology, Cambridge University Press, Cambridge, UK (2004). ISBN 0-521-81980-6 (hardback) or 0-521-52586-1 (paperback) \$40.00 (paperback)} . . . . . . . . . . . . . . 1933--1934
Robersy Sánchez and Eberto Morgado and Ricardo Grau A genetic code Boolean structure. I. The meaning of Boolean deductions . . . . . 1--14 Barak Yaish and Ramit Mehr Models for the dynamics and order of immunoglobulin isotype switching . . . . 15--32 Belinda Barnes and Harvinder Sidhu Plant-herbivore models, where more grass means fewer grazers . . . . . . . . . . 33--55 S. A. L. M. Kooijman and L. A. Segel How growth affects the fate of cellular metabolites . . . . . . . . . . . . . . 57--77 B. Ribba and K. Marron and Z. Agur and T. Alarcón and P. K. Maini A mathematical model of Doxorubicin treatment efficacy for non-Hodgkin's lymphoma: Investigation of the current protocol through theoretical modelling results . . . . . . . . . . . . . . . . 79--99 Horacio Gómez-Acevedo and Michael Y. Li Backward bifurcation in a model for HTLV-I infection of CD4$^+$ T cells . . 101--114 Sanyi Tang and Yanni Xiao and Lansun Chen and Robert A. Cheke Integrated pest management models and their dynamical behaviour . . . . . . . 115--135 Heather Flores and Edgar Lobaton and Stefan Méndez-Diez and Svetlana Tlupova and Ricardo Cortez A study of bacterial flagellar bundling 137--168 Maik Kschischo and Michael Lässig and Yi-Kuo Yuc Toward an accurate statistics of gapped alignments . . . . . . . . . . . . . . . 169--191 Gerardo Hernández Book review: Michael Bulmer, \booktitleFrancis Galton: Pioneer of Heredity and Biometry, Johns Hopkins University Press (2003), ISBN 0-8018-7403-3, 352 pages, \$45.00} . . . 193--194 D. Ambrosi and A. Gamba and G. Serini Cell directional persistence and chemotaxis in vascular morphogenesis . . 195--195
Anonymous Obituary . . . . . . . . . . . . . . . . iii--iii Kai Hu Writhe of DNA induced by a terminal twist . . . . . . . . . . . . . . . . . 197--209 X. Zheng and S. M. Wise and V. Cristini Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method . . . . . . . . . . . . . . . . . 211--259 Stephen J. Willson Minimum evolution using ordinary least-squares is less robust than neighbor-joining . . . . . . . . . . . . 261--279 Diomar Cristina Mistro and Luiz Alberto Díaz Rodrigues and Wilson Castro Ferreira, Jr. The Africanized honey bee dispersal: a mathematical zoom . . . . . . . . . . . 281--312 Shuyu Sun and Mary F. Wheeler and Mandri Obeyesekere and C. Patrick, Jr. A deterministic model of growth factor-induced angiogenesis . . . . . . 313--337 Ruiqi Wang and Zhujun Jing and Luonan Chen Modelling periodic oscillation in gene regulatory networks by cyclic feedback systems . . . . . . . . . . . . . . . . 339--367 P. J. Woodroffe and J. R. King and C. L. Varley and J. Southgate Modelling cell signalling and differentiation in the urothelium . . . 369--389 Faustino Sánchez-Garduño Book review: J. D. Murray, \booktitleMathematical biology, Springer Verlag (2003). ISBN 0-387-95228-4, 736 pages \$79.95} . . . . . . . . . . . . . 391--392
Vien Nguyen and Roy Mathias and Gregory D. Smith A stochastic automata network descriptor for Markov chain models of instantaneously coupled intracellular Ca$^{2+}$ channels . . . . . . . . . . . 393--432 José Díaz and Gustavo Martínez-Mekler Interaction of the IP$_3$-Ca$^{2+}$ and MAPK signaling systems in the \bionameXenopus blastomere: A possible frequency encoding mechanism for the control of the Xbra gene expression . . 433--465 T. Awerbuch-Friedlander and R. Levins and M. Predescu The role of seasonality in the dynamics of deer tick populations . . . . . . . . 467--486 Khalid Boushaba and Mercedes Pascual Dynamics of the `echo' effect in a phytoplankton system with nitrogen fixation . . . . . . . . . . . . . . . . 487--507 Lucy Tiemi Takahashi and Norberto Anibal Maidana and Wilson Castro Ferreira, Jr. and Petronio Pulino and Hyun Mo Yang Mathematical models for the \bionameAedes aegypti dispersal dynamics: Travelling waves by wing and wind . . . . . . . . . . . . . . . . . . 509--528 D. C. Bardos Probabilistic Gompertz model of irreversible growth . . . . . . . . . . 529--545 Susanne Ditlevsen and Andrea de Gaetano Stochastic vs. deterministic uptake of dodecanedioic acid by isolated rat livers . . . . . . . . . . . . . . . . . 547--561 E. A. Gaffney The mathematical modelling of adjuvant chemotherapy scheduling: Incorporating the effects of protocol rest phases and pharmacokinetics . . . . . . . . . . . . 563--611 Takuyo Aita and Shunichi Morinaga and Yuzuru Husimi Thermodynamical interpretation of evolutionary dynamics on a fitness landscape in an evolution reactor, II 613--635 Sergei Petrovskii and Andrew Morozov and Bai-Lian Li Regimes of biological invasion in a predator-prey system with the Allee effect . . . . . . . . . . . . . . . . . 637--661
Å. Brännström and D. J. T. Sumpter Coupled map lattice approximations for spatially explicit individual-based models of ecology . . . . . . . . . . . 663--682 Joseph H. Tien and William D. Hazelton and Rachel Sparks and Cornelia M. Ulrich A Michaelis--Menten-style model for the autocatalytic enzyme prostaglandin H synthase . . . . . . . . . . . . . . . . 683--700 Natalia L. Komarova and Avy Soffera Nonlinear waves in double-stranded DNA 701--718 Eric Bax Checkpoint method for choice recovery in dynamic programming . . . . . . . . . . 719--736 Giulia Menconi Sublinear growth of information in DNA sequences . . . . . . . . . . . . . . . 737--759 María S. Sánchez and Robert M. Grant and Travis C. Porco and Kimber L. Gross and Wayne M. Getz A decrease in drug resistance levels of the HIV epidemic can be bad news . . . . 761--782 R. J. Smith and L. M. Wahl Drug resistance in an immunological model of HIV-1 infection with impulsive drug effects . . . . . . . . . . . . . . 783--813 Britta Basse and Bruce C. Baguley and Elaine S. Marshall and Graeme C. Wake and David J. N. Wall Modelling the flow of cytometric data obtained from unperturbed human tumour cell lines: Parameter fitting and comparison . . . . . . . . . . . . . . . 815--830 N. G. Cogan and Ricardo Cortez and Lisa Fauci Modeling physiological resistance in bacterial biofilms . . . . . . . . . . . 831--853 Isthrinayagy Krishnarajah and Alex Cook and Glenn Marion and Gavin Gibson Novel moment closure approximations in stochastic epidemics . . . . . . . . . . 855--873 Michael A. Fishman and Lewi Stone Fertility assurance and breeding synchrony . . . . . . . . . . . . . . . 875--883 Michele Di Mascio and Jerome K. Percus and Ora E. Percus and Martin Markowitz and David D. Ho and Alan S. Perelson Duration of an intermittent episode of viremia . . . . . . . . . . . . . . . . 885--900
Chetan Gadgil and Chang Hyeong Lee and Hans G. Othmer A stochastic analysis of first-order reaction networks . . . . . . . . . . . 901--946 Robert Hinch A note on the asymptotic reduction of the Hodgkin--Huxley equations for nerve impulses . . . . . . . . . . . . . . . . 947--955 R. Quentin Grafton and Tom Kompas and David Lindenmayer Marine reserves with ecological uncertainty . . . . . . . . . . . . . . 957--971 R. Twarock Mathematical models for tubular structures in the family of \bionamePapovaviridae . . . . . . . . . 973--987 J. R. Stirling and M. S. Zakynthinaki and B. Saltin A model of oxygen uptake kinetics in response to exercise: Including a means of calculating oxygen demand/deficit/debt . . . . . . . . . . 989--1015 Robersy Sanchez and Ricardo Grau A genetic code Boolean structure. II. The genetic information system as a Boolean information system . . . . . . . 1017--1029 István Miklós and Irmtraud M. Meyer and Borbála Nagy Moments of the Boltzmann distribution for RNA secondary structures . . . . . . 1031--1047 J. A. Stewart-Cox and N. F. Brittona and M. Mogie Pollen limitation or mate search need not induce an Allee effect . . . . . . . 1049--1079 Meng Fan and Yang Kuang and Zhilan Feng Cats protecting birds revisited . . . . 1081--1106 C. Bowman and A. B. Gumel and P. van den Driessche and J. Wu and H. Zhu A mathematical model for assessing control strategies against West Nile virus . . . . . . . . . . . . . . . . . 1107--1133 L. Giuggioli and G. Abramson and V. M. Kenkre and G. Suzán and E. Marcé and T. L. Yates Diffusion and home range parameters from rodent population measurements in Panama 1135--1149 Diomar Cristina Mistro and Luiz Alberto Díaz Rodrigues and Wilson Castro Ferreira, Jr. Erratum: The Africanized honey bee dispersal: a mathematical zoom . . . . . 1151--1151 Britta Basse and Bruce C. Baguley and Elaine S. Marshall and Graeme C. Wake and David J. N. Wall Erratum: Modelling the flow cytometric data obtained from unperturbed human tumour cell lines: Parameter fitting and comparison . . . . . . . . . . . . . . . 1153--1153 Kai Hu Erratum: Writhe of DNA induced by a terminal twist . . . . . . . . . . . . . 1155--1155
Gustavo Cruz-Pacheco and Lourdes Esteva and Juan Antonio Montaõ-Hirose and Cristobal Vargas Modelling the dynamics of West Nile Virus . . . . . . . . . . . . . . . . . 1157--1172 Jerome K. Percus Small population effects in stochastic population dynamics . . . . . . . . . . 1173--1194 Dominik Kami\'nski and Jacek Miekisz and Marcin Zaborowski Stochastic stability in three-player games . . . . . . . . . . . . . . . . . 1195--1205 Dashun Xu and Jason Curtis and Zhilan Feng and Dennis J. Minchella On the role of schistosome mating structure in the maintenance of drug resistant strains . . . . . . . . . . . 1207--1226 Laura E. Jonesa and Alan S. Perelson Opportunistic infection as a cause of transient viremia in chronically infected HIV patients under treatment with HAART . . . . . . . . . . . . . . . 1227--1251 Mich\`ele Koenigsberger and Roger Sauser and Jean-Jacques Meister Emergent properties of electrically coupled smooth muscle cells . . . . . . 1253--1272 J. A. Stewart-Cox and N. F. Britton and M. Mogie Space mediates coexistence of females and hermaphrodites . . . . . . . . . . . 1273--1302 Richard A. Reyment The statistical analysis of multivariate serological frequency data . . . . . . . 1303--1313 Sonya J. Snedecor Dynamic treatment model to examine the association between phenotypic drug resistance and duration of HIV viral suppression . . . . . . . . . . . . . . 1315--1332 Ji-Huan He The allometry of leaf form in early plant ontogeny . . . . . . . . . . . . . 1333--1337 Hiroshi Yoshida and Takashi Yokomori and Akira Suyama A simple classification of the volvocine algae by formal languages . . . . . . . 1339--1354 Hani Goodarzi and Hamed Shateri Najafabadi and Hamed Ahmadi Nejad and Noorossadat Torabi The impact of including tRNA content on the optimality of the genetic code . . . 1355--1368
Philip K. Maini Editorial . . . . . . . . . . . . . . . 1--1 Mark Lewis and Joanna Renc\lawowicz and P. van den Driessche Traveling Waves and Spread Rates for a West Nile Virus Model . . . . . . . . . 3--23 Anna Q. Cai and Kerry A. Landman and Barry D. Hughes Modelling Directional Guidance and Motility Regulation in Cell Migration 25--52 A. D. Fitt and G. Gonzalez Fluid Mechanics of the Human Eye: Aqueous Humour Flow in The Anterior Chamber . . . . . . . . . . . . . . . . 53--71 Andrew M. Oster and Paul C. Bressloff A Developmental Model of Ocular Dominance Column Formation on a Growing Cortex . . . . . . . . . . . . . . . . . 73--98 E. A. Gaffney and N. A. M. Monk Gene Expression Time Delays and Turing Pattern Formation Systems . . . . . . . 99--130 Paul J. Atzberger and Charles S. Peskin A Brownian Dynamics Model of Kinesin in Three Dimensions Incorporating the Force--Extension Profile of the Coiled--Coil Cargo Tether . . . . . . . 131--160 D. P. Wilson and P. Timms and D. L. S. Mcelwain and P. M. Bavoil Type III Secretion, Contact-dependent Model for the Intracellular Development of \bionameChlamydia . . . . . . . . . . 161--178 Michael C. Wendl Occupancy Modeling of Coverage Distribution for Whole Genome Shotgun DNA Sequencing . . . . . . . . . . . . . 179--196 Helen V. Waugh and Jonathan A. Sherratt Macrophage Dynamics in Diabetic Wound Dealing . . . . . . . . . . . . . . . . 197--207
Dashun Xu and Jason Curtis and Zhilan Feng and Dennis J. Minchella On the Role of Schistosome Mating Structure in the Maintenance of Drug-resistant Strains . . . . . . . . . 209--229 D. G. Mallet and G. J. Pettet A Mathematical Model of Integrin-mediated Haptotactic Cell Migration . . . . . . . . . . . . . . . 231--253 Filippo Castiglione and Benedetto Piccoli Optimal Control in a Model of Dendritic Cell Transfection Cancer Immunotherapy 255--274 Larisa Vatov and Ziv Kizner and Eytan Ruppin and Sigal Meilin and Tamar Manor and Avraham Mayevsky Modeling Brain Energy Metabolism and Function: a Multiparametric Monitoring Approach . . . . . . . . . . . . . . . . 275--291 B. Mukhopadhyay and R. Bhattacharyya Modeling the Role of Diffusion Coefficients on Turing Instability in a Reaction--diffusion prey--predator System . . . . . . . . . . . . . . . . . 293--313 T. Aittokallio and M. Gyllenberg and O. Polo and J. Toivonen and A. Virkki Model-Based Analysis of Mechanisms Responsible for Sleep--Induced Carbon Dioxide Differences . . . . . . . . . . 315--341 Moisés Santillán and Eduardo S. Zeronb Analytical Study of the Multiplicity of Regulatory Mechanisms in the Tryptophan Operon . . . . . . . . . . . . . . . . . 343--359 Yun S. Song A Sufficient Condition for Reducing Recursions in Hidden Markov Models . . . 361--384 A. V. Melkikh and V. D. Seleznev Requirements on Models and Models of Active Transport of Ions in Biomembranes 385--399 Timothy C. Reluga and Jan Medlock and Alison P. Galvani A Model of Spatial Epidemic Spread When Individuals Move Within Overlapping Home Ranges . . . . . . . . . . . . . . . . . 401--416 J. V. Ross Stochastic models for mainland-island metapopulations in static and dynamic landscapes . . . . . . . . . . . . . . . 417--449 Jacques A. L. Silva and Flávia T. Giordani Density-dependent migration and synchronism in metapopulations . . . . . 451--466 Shandelle M. Henson and James L. Hayward and Smruti P. Damania Identifying Environmental Determinants of Diurnal Distribution in Marine Birds and Mammals . . . . . . . . . . . . . . 467--482 Ichiji Tasaki A Note on the Local Current Associated with the Rising Phase of a Propagating Impulse in Nonmyelinated Nerve Fibers 483--490
Mark A. Lewis and Joanna Renc\lawowicz and P. van den Driessche and Marjorie Wonham A Comparison of Continuous and Discrete-time West Nile Virus Models . . 491--509 Linda J. S. Allen and Robert K. McCormack and Colleen B. Jonsson Mathematical Models for Hantavirus Infection in Rodents . . . . . . . . . . 511--524 Nicolas Bacaër and Xamxinur Abdurahman and Jianli Ye Modeling the HIV/AIDS Epidemic Among Injecting Drug Users and Sex Workers in Kunming, China . . . . . . . . . . . . . 525--550 Ying-Hen Hsieh and Yun-Shih Wang Basic Reproduction Number for HIV Model Incorporating Commercial Sex and Behavior Change . . . . . . . . . . . . 551--575 Elamin H. Elbasha and Abba B. Gumel Theoretical Assessment of Public Health Impact of Imperfect Prophylactic HIV-1 Vaccines with Therapeutic Benefits . . . 577--614 Andrei Korobeinikov Lyapunov Functions and Global Stability for SIR and SIRS Epidemiological Models with Non--Linear Transmission . . . . . 615--626 David A. Edwards Convection Effects in the BIAcore Dextran Layer: Surface Reaction Model 627--654 Kalle Parvinen Evolution of Dispersal in a Structured Metapopulation Model in Discrete Time 655--678 Junling Ma and David J. D. Earn Generality of the Final Size Formula for an Epidemic of a Newly Invading Infectious Disease . . . . . . . . . . . 679--702 Juan J. Nieto and A. Torres and D. N. Georgiou and T. E. Karakasidis Fuzzy polynucleotide spaces and metrics 703--725 Bo Deng Why is the Number of DNA Bases 4? . . . 727--733
Maykel Pérez González and Julio Caballero and Aliuska Morales Helguera and Miguel Garriga and Gerardo González and Michael Fernández $2$D Autocorrelation Modelling of the Inhibitory Activity of Cytokinin--Derived Cyclin--Dependent Kinase Inhibitors . . . . . . . . . . . 735--751 Lo\"\ic Forest and Jacques Demongeot Cellular Modelling of Secondary Radial Growth in Conifer Trees: Application to \bionamePinus radiata (D. Don) . . . . . 753--784 M. G. Sadovsky Information capacity of nucleotide sequences and Its applications . . . . . 785--806 Peder A. Tyvand and Steinar Thorvaldsen Markov Model of Haploid Random Mating with Given Distribution of Population Size . . . . . . . . . . . . . . . . . . 807--819 M. Recker and S. Gupta Conflicting immune responses can prolong the length of infection in Plasmodium falciparum malaria . . . . . . . . . . . 821--835 Angela Gallegos and Barbara Mazzag and Alex Mogilner Two continuum models for the spreading of myxobacteria swarms . . . . . . . . . 837--861 C. Y. Chen and J. R. King Modelling the Effect of Caveolae on G-protein Activation . . . . . . . . . . 863--888 E. S. McBryde and G. Gibson and A. N. Pettitt and Y. Zhang and B. Zhao and D. L. S. McElwain Bayesian modelling of an epidemic of severe acute respiratory syndrome . . . 889--917 Stephen J. Willson Unique Reconstruction of Tree-Like Phylogenetic Networks from Distances Between Leaves . . . . . . . . . . . . . 919--944 Dagmar Iber and Iain D. Campbell Integrin activation --- the importance of a positive feedback . . . . . . . . . 945--956 Sa Xiao and Shu-Yan Chen and Gang Wang An ESS for the Height of a Plant Population, or an Optimal Height for an Individual? --- Rethinking Game-Theoretic Models for Plant Height 957--967
Anonymous \booktitleBulletin of Mathematical Biology Special Issue . . . . . . . . . 969--980 Iain Barrass and Edmund J. Crampin and Philip K. Maini Mode Transitions in a Model Reaction--Diffusion System Driven by Domain Growth and Noise . . . . . . . . 981--995 Raya Khanin and Itzchak Parnas and Hanna Parnas On the Feedback Between Theory and Experiment in Elucidating the Molecular Mechanisms Underlying Neurotransmitter Release . . . . . . . . . . . . . . . . 997--1009 Rob J. De Boer and Vitaly V. Ganusov and Dejan Milutinovi\'c and Philip D. Hodgkin and Alan S. Perelson Estimating Lymphocyte Division and Death Rates from CFSE Data . . . . . . . . . . 1011--1031 Evelyn Fox Keller Science as a Medium for Friendship: How the Keller--Segel Models Came About . . 1033--1037 Oleksii Sliusarenko and Jing Chen and George Oster From Biochemistry to Morphogenesis in Myxobacteria . . . . . . . . . . . . . . 1039--1051 E. N. Cytrynbaum and V. Rodionov and A. Mogilner Nonlocal Mechanism of Self-Organization and Centering of Microtubule Asters . . 1053--1072 Ramit Mehr Feedback Loops, Reversals and Nonlinearities in Lymphocyte Development 1073--1094 Albert Goldbeter Oscillations and waves of cyclic AMP in Dictyostelium: a prototype for spatio-temporal organization and pulsatile intercellular communication 1095--1109 Junling Ma and Simon A. Levin The Evolution of Resource Adaptation: How Generalist and Specialist Consumers Evolve . . . . . . . . . . . . . . . . . 1111--1123 Xiaoyi He and Daniel Coombs and David G. Myszka and Byron Goldstein A Theoretical and Experimental Study of Competition Between Solution and Surface Receptors for Ligand in a Biacore Flow Cell . . . . . . . . . . . . . . . . . . 1125--1150 Michael J. Ward Asymptotic Methods for Reaction--Diffusion Systems: Past and Present . . . . . . . . . . . . . . . . 1151--1167 Athanasius F. M. Marée and Alexandra Jilkine and Adriana Dawes and Verônica A. Grieneisen and Leah Edelstein-Keshet Polarization and Movement of Keratocytes: a Multiscale Modelling Approach . . . . . . . . . . . . . . . . 1169--1211 Irun R. Cohen Informational Landscapes in Art, Science, and Evolution . . . . . . . . . 1213--1229
Liviu Movileanu and Dumitru Popescu and Stelian Ion and Aurel I. Popescu Transbilayer Pores Induced by Thickness Fluctuations . . . . . . . . . . . . . . 1231--1255 L. Sacerdote and A. E. P. Villa and C. Zucca On the Classification of Experimental Data Modeled Via a Stochastic Leaky Integrate and Fire Model Through Boundary Values . . . . . . . . . . . . 1257--1274 Oskar Hagberg and Carsten Wiuf Convergence properties of the degree distribution of some growing network models . . . . . . . . . . . . . . . . . 1275--1291 A. Chakraborty and D. K. Bhattacharaya A Process-Based Mathematical Model on Methane Production with Emission Indices for Control . . . . . . . . . . . . . . 1293--1314 David Hiebeler Moment Equations and Dynamics of a Household SIS Epidemiological Model . . 1315--1333 Antonio S. Torralba and Yoel Rodríguez Susceptibilities of an Irreversible Michaelis--Menten Enzyme . . . . . . . . 1335--1353 M. B. Jones and D. L. S. McElwain and G. R. Fulford and M. J. Collins and A. P. Roberts The Effect of the Lipid Layer on Tear Film Behaviour . . . . . . . . . . . . . 1355--1381 William J. Heuett and Hong Qian A Stochastic Model of Oscillatory Blood Testosterone Levels . . . . . . . . . . 1383--1399 Stefan Reinker and Yue-Xian Li and Rachel Kuske Noise-Induced Coherence and Network Oscillations in a Reduced Bursting Model 1401--1427
Eric J. Mapes and Mark F. Schumaker Framework Models of Ion Permeation Through Membrane Channels and the Generalized King--Altman Method . . . . 1429--1460 R. Varón and E. Valero and M. Molina-Alarcón and F. García-Cánovas and F. García-Molina and M. E. Fuentes and M. García-Moreno Expressions for the Fractional Modification in Different Monocyclic Enzyme Cascade Systems: Analysis of their Validity Tested by Numerical Integration . . . . . . . . . . . . . . 1461--1493 Khalid Boushaba and Howard A. Levinea and Marit Nilsen-Hamilton A Mathematical Model for the Regulation of Tumor Dormancy Based on Enzyme Kinetics . . . . . . . . . . . . . . . . 1495--1526 Maykel Cruz-Monteagudo and Humberto González-Díaz and Eugenio Uriarte Simple Stochastic Fingerprints Towards Mathematical Modeling in Biology and Medicine 2. Unifying Markov Model for Drugs Side Effects . . . . . . . . . . . 1527--1554 Maykel Cruz-Monteagudo and Humberto González-Díaz and Fernanda Borges and Yenny González-Díaz Simple stochastic fingerprints towards mathematical modeling in biology and medicine. 3. Ocular irritability classification model . . . . . . . . . . 1555--1572 Natalia L. Komarova Spatial Stochastic Models for Cancer Initiation and Progression . . . . . . . 1573--1599 Chad M. Topaz and Andrea L. Bertozzi and Mark A. Lewis A Nonlocal Continuum Model for Biological Aggregation . . . . . . . . . 1601--1623 Mariano Marcano and Anita T. Layton and Harold E. Layton An Optimization Algorithm for a Distributed--Loop Model of an Avian Urine Concentrating Mechanism . . . . . 1625--1660 R. Chignola and P. Dai Pra and L. M. Morato and P. Siri Proliferation and Death in a Binary Environment: a Stochastic Model of Cellular Ecosystems . . . . . . . . . . 1661--1680 Marc R. Roussel and Rui Zhu Stochastic kinetics description of a simple transcription model . . . . . . . 1681--1713 Tini Garske Error Thresholds in a Mutation--selection Model with Hopfield-type Fitness . . . . . . . . . 1715--1746 Wilfred Ndifon and Asamoah Nkwanta and Dwayne Hill Some Probabilistic Results on the Nonrandomness of Simple Sequence Repeats in DNA Sequences . . . . . . . . . . . . 1747--1759 J. P. Keener How \bionameSalmonella typhimurium measures the length of flagellar filaments . . . . . . . . . . . . . . . 1761--1778 Frank Diederichs Mathematical Simulation of Membrane Processes and Metabolic Fluxes of the Pancreatic $\beta$-cell . . . . . . . . 1779--1818 A. Tosin and D. Ambrosi and L. Preziosi Mechanics and Chemotaxis in the Morphogenesis of Vascular Networks . . . 1819--1836
Liang Li and Gang Wang The ideal free distribution of clonal plant's ramets among patches in a heterogeneous environment . . . . . . . 1837--1850 Wendy Gruner Graves and Bruce Peckham and John Pastor A Bifurcation Analysis of a Differential Equations Model for Mutualism . . . . . 1851--1872 S. R. Lubkin and X. Wan Optimizing Detection of Tissue Anisotropy by Fluorescence Recovery after Photobleaching . . . . . . . . . . 1873--1891 V. Colizza and A. Barrat and M. Barthélemy and A. Vespignani The Modeling of Global Epidemics: Stochastic Dynamics and Predictability 1893--1921 Tibor Antal and István Scheuring Fixation of Strategies for an Evolutionary Game in Finite Populations 1923--1944 Marcelo Otero and Hernán G. Solari and Nicolás Schweigmann A Stochastic Population Dynamics Model for Aedes Aegypti: Formulation and Application to a City with Temperate Climate . . . . . . . . . . . . . . . . 1945--1974 A. A. Neville and P. C. Matthews and H. M. Byrne Interactions Between Pattern Formation and Domain Growth . . . . . . . . . . . 1975--2003 D. M. Bortz and P. W. Nelson Model Selection and Mixed--Effects Modeling of HIV Infection Dynamics . . . 2005--2025 T. Roose and S. J. Chapman and P. K. Maini A Mathematical Model for Simultaneous Spatio--Temporal Dynamics of Calcium and Inositol 1,4,5-Trisphosphate in Madin--Darby Canine Kidney Epithelial Cells . . . . . . . . . . . . . . . . . 2027--2051 Valeria Isaeva and Eugene Presnov and Alexey Chernyshev Topological Patterns in Metazoan Evolution and Development . . . . . . . 2053--2067 John E. Franke and Abdul-Aziz Yakubu Signature Function for Predicting Resonant and Attenuant Population $2$-cycles . . . . . . . . . . . . . . . 2069--2104 A. B. Gumel and Connell C. McCluskey and P. van den Driessche Mathematical Study of a Staged--Progression HIV Model with Imperfect Vaccine . . . . . . . . . . . 2105--2128 Frithjof Lutscher and Mark A. Lewis and Edward McCauley Effects of Heterogeneity on Spread and Persistence in Rivers . . . . . . . . . 2129--2160 Gideon A. Ngwa On the Population Dynamics of the Malaria Vector . . . . . . . . . . . . . 2161--2189 Miranda I. Teboh-Ewungkem and Eric P. Salathe The Role of Counter--Current Exchange in Preventing Hypoxia in Skeletal Muscle 2191--2204 Alejandra C. Ventura and James Sneyd Calcium Oscillations and Waves Generated by Multiple Release Mechanisms in Pancreatic Acinar Cells . . . . . . . . 2205--2231 Christina Warrender and Stephanie Forrest and Frederick Koster Modeling Intercellular Interactions in Early Mycobacterium Infection . . . . . 2233--2261 F. A. B. Coutinhoa and M. N. Burattinia and L. F. Lopeza and E. Massada Threshold Conditions for a Non--Autonomous Epidemic System Describing the Population Dynamics of Dengue . . . . . . . . . . . . . . . . . 2263--2282 Sharene D. Bungay and Patricia A. Gentry and Rodney D. Gentry Modelling Thrombin Generation in Human Ovarian Follicular Fluid . . . . . . . . 2283--2302 Shovonlal Roy and S. Alam and J. Chattopadhyay Competing Effects of Toxin-Producing Phytoplankton on Overall Plankton Populations in the Bay of Bengal . . . . 2303--2320
Philip K. Maini and Mark Chaplain and Achi Dosanjh Editorial . . . . . . . . . . . . . . . 1--1 Johannes K. Krottje and Arjen van Ooyen A Mathematical Framework for Modeling Axon Guidance . . . . . . . . . . . . . 3--31 A. D. Lander and Q. Nie and F. Y. M. Wan Membrane-Associated Non--Receptors and Morphogen Gradients . . . . . . . . . . 33--54 T. Mugwagwa and G. Witten Coreceptor Switching in HIV-1 Subtype B and Subtype C . . . . . . . . . . . . . 55--75 Hiromi Seno and Mikiko Shigemoto A Mathematical Modelling for the Cheliped Regeneration with Handedness in Fiddler Crab . . . . . . . . . . . . . . 77--92 Michael G. Zager and Paul M. Schlosser and Hien T. Tran A Delayed Nonlinear PBPK Model for Genistein Dosimetry in Rats . . . . . . 93--117 Ken Arii and Raphaëlle Derome and Lael Parrott Examining the potential effects of species aggregation on the network structure of food webs . . . . . . . . . 119--133 Maia Martcheva and Benjamin M. Bolker The Impact of the Allee Effect in Dispersal and Patch--Occupancy Age on the Dynamics of Metapopulations . . . . 135--156 Paula K. Denman and D. L. Sean McElwain and Damien G. Harkin and Zee Upton Mathematical Modelling of Aerosolised Skin Grafts Incorporating Keratinocyte Clonal Subtypes . . . . . . . . . . . . 157--179 Jan I. Freijer and Teun M. Post and Bart A. Ploeger and Joost DeJongh and Meindert Danhof Application of the Convection--Dispersion Equation to Modelling Oral Drug Absorption . . . . . 181--195 T. Alarcón and M. J. Tindall Modelling Cell Growth and its Modulation of the $ G_1 $ /S Transition . . . . . . 197--214 Marco V. José and Eberto R. Morgado and Tzipe Govezensky An Extended RNA Code and its Relationship to the Standard Genetic Code: an Algebraic and Geometrical Approach . . . . . . . . . . . . . . . . 215--243 V. K. Pustovalov and B. Jean Melanin Granule Models for the Processes of Laser-Induced Thermal Damage in Pigmented Retinal Tissues. I. Modeling of Laser-Induced Heating of Melanosomes and Selective Thermal Processes in Retinal Tissues . . . . . . . . . . . . 245--263 Holly D. Gaff and Louis J. Gross Modeling Tick-Borne Disease: a Metapopulation Model . . . . . . . . . . 265--288 D. J. Lubkin and E. A. Gaffney and J. R. Blake A Viscoelastic Traction Layer Model of Muco--Ciliary Transport . . . . . . . . 289--327 Hanna T. M. Eskola and Stefan A. H. Geritz On the Mechanistic Derivation of Various Discrete--Time Population Models . . . . 329--346 Maykel Pérez González and Carmen Terán and Marta Teijeira and Aliuska Morales Helguera QSAR Studies Using Radial Distribution Function for Predicting A$_1$ Adenosine Receptors Agonists . . . . . . . . . . . 347--359 Nadav Skjòndal-Bara and David R. Morrisb Dynamic Model of the Process of Protein Synthesis in Eukaryotic Cells . . . . . 361--393 Robert Sturm and W. Hofmann Stochastic Modeling Predictions for the Clearance of Insoluble Particles from the Tracheobronchial Tree of the Human Lung . . . . . . . . . . . . . . . . . . 395--415 R. N. Bearon A Model for Bacterial Colonization of Sinking Aggregates . . . . . . . . . . . 417--431 Morten Gram Pedersena and Alberto M. Bersanib and Enrico Bersanic The Total Quasi--Steady-State Approximation for Fully Competitive Enzyme Reactions . . . . . . . . . . . . 433--457
David G. Schaeffer and John W. Cain and Daniel J. Gauthier and Soma S. Kalb and Robert A. Oliver and Elena G. Tolkacheva and Wenjun Ying and Wanda Krassowska An Ionically Based Mapping Model with Memory for Cardiac Restitution . . . . . 459--482 Olivier Cinquin and Karen M. Page Generalized, Switch-Like Competitive Heterodimerization Networks . . . . . . 483--494 Paula K. Denman and D. L. Sean McElwain and John Norbury Analysis of Travelling Waves Associated with the Modelling of Aerosolised Skin Grafts . . . . . . . . . . . . . . . . . 495--523 Richard J. Hall and Simon Gubbins and Christopher A. Gilligan Evaluating the Performance of Chemical Control in the Presence of Resistant Pathogens . . . . . . . . . . . . . . . 525--537 Robert Mach and Frank Schweitzer Modeling Vortex Swarming In Daphnia . . 539--562 B. M. Adams and H. T. Banks and M. Davidian and E. S. Rosenberg Estimation and Prediction With HIV--Treatment Interruption Data . . . . 563--584 Jari Niemi and Ulla Ruotsalainen and Antti Saarinen and Keijo Ruohonen Stochastic Dynamic Model for Estimation of Rate Constants and Their Variances from Noisy and Heterogeneous PET Measurements . . . . . . . . . . . . . . 585--604 Graeme P. Boswell and Helen Jacobs and Karl Ritz and Geoffrey M. Gadd and Fordyce A. Davidson The Development of Fungal Networks in Complex Environments . . . . . . . . . . 605--634 Robert A. Gatenby and B. Roy Frieden Information Theory in Living Systems, Methods, Applications, and Challenges 635--657 C. Huia and M. A. McGeoch Spatial Patterns of Prisoner's Dilemma Game in Metapopulations . . . . . . . . 659--676 Christian J. Michel An Analytical Model of Gene Evolution with 9 Mutation Parameters: an Application to the Amino Acids Coded by the Common Circular Code . . . . . . . . 677--698 Jean M. Tchuenche Theoretical Population Dynamics Model of a Genetically Transmitted Disease: Sickle--Cell Anaemia . . . . . . . . . . 699--730 Shujing Gao and Lansun Chen and Zhidong Teng Impulsive Vaccination of an SEIRS Model with Time Delay and Varying Total Population Size . . . . . . . . . . . . 731--745 Ehsan Jabbarzadeh and Cameron F. Abrams Simulations of Chemotaxis and Random Motility in $2$D Random Porous Domains 747--764 Erik Alpkvista and Isaac Klapper A Multidimensional Multispecies Continuum Model for Heterogeneous Biofilm Development . . . . . . . . . . 765--789 Erica Fleishman Book Review: R. Ferri\`ere, U. Dieckmann, and D. Couvet, editors: \booktitleEvolutionary Conservation Biology, Cambridge University Press, ISBN 0-521-82700-0, 2004, \$95.00} . . . 791--793 Martín Romero Introduction to statistics through resampling methods and R/S-Plus . . . . 795--796
Jukka Corander and Mats Gyllenberg and Timo Koski Random Partition Models and Exchangeability for Bayesian Identification of Population Structure 797--815 D. J. Smith and E. A. Gaffney and J. R. Blake A Model of Tracer Transport in Airway Surface Liquid . . . . . . . . . . . . . 817--836 Max Shpaka and Stephen R. Proulx The Role of Life Cycle and Migration in Selection for Variance in Offspring Number . . . . . . . . . . . . . . . . . 837--860 William S. C. Gurney and A. Roy Veitch The Dynamics of Size-at-Age Variability 861--885 Anita T. Layton Role of UTB Urea Transporters in the Urine Concentrating Mechanism of the Rat Kidney . . . . . . . . . . . . . . . . . 887--929 Marcus R. Garvie Finite-Difference Schemes for Reaction--Diffusion Equations Modeling Predator--Prey Interactions in MATLAB 931--956 N. F. Britton and R. Planqué and N. R. Franks Evolution of Defence Portfolios in Exploiter--Victim Systems . . . . . . . 957--988 P. Cull Population Models: Stability in One Dimension . . . . . . . . . . . . . . . 989--1017 Kai Hu Terminal Twist-Induced Writhe of DNA with Intrinsic Curvature . . . . . . . . 1019--1030 C. J. Bampfylde and M. A. Lewis Biological Control Through Intraguild Predation: Case Studies in Pest Control, Invasive Species and Range Expansion . . 1031--1066 Nicolas Bacaër Approximation of the Basic Reproduction Number $ R_0 $ for Vector-Borne Diseases with a Periodic Vector Population . . . 1067--1091 W. Garrett Mitchener Game Dynamics with Learning and Evolution of Universal Grammar . . . . . 1093--1118 Raul Rueda Book Review: \booktitleBayesian Logical Data Analysis for the Physical Sciences: a Comparative Approach with Mathematica Support by P. C. Gregory. Hardcover: 486 pages. Cambridge University Press. ISBN 0-521-84150-X, \$75.00} . . . . . . . . 1119--1120
Roger M. Luther and Mark Broom and Graeme D. Ruxton Is Food Worth Fighting for? ESS's in Mixed Populations of Kleptoparasites and Foragers . . . . . . . . . . . . . . . . 1121--1146 M. J. Tindall and C. P. Please Modelling the Cell Cycle and Cell Movement in Multicellular Tumour Spheroids . . . . . . . . . . . . . . . 1147--1165 Lars Witting Behavioural Interactions Selecting for Symmetry and Asymmetry in Sexual Reproductive Systems of Eusocial Species 1167--1198 Peter Dittrich and Pietro Speroni di Fenizio Chemical Organisation Theory . . . . . . 1199--1231 E. August and K. H. Parker and M. Barahona A Dynamical Model of Lipoprotein Metabolism . . . . . . . . . . . . . . . 1233--1254 Mike Mesterton-Gibbons and Tom N. Sherratt Social Eavesdropping: a Game-Theoretic Analysis . . . . . . . . . . . . . . . . 1255--1276 S. Bhattacharyya and D. K. Bhattacharya A More Realistic Approach to Pest-Management Problem . . . . . . . . 1277--1310 B. Nyquist and R. Tyson and K. Larsen Modelling Recolonization of Second-Growth Forest Stands by the North American Red Squirrel \bionameTamiasciurus hudsonicus . . . . 1311--1339 T. de-Camino-Beck and M. A. Lewis A New Method for Calculating Net Reproductive Rate from Graph Reduction with Applications to the Control of Invasive Species . . . . . . . . . . . . 1341--1354 Ying-Hen Hsieh and P. van den Driessche and Lin Wang Impact of Travel Between Patches for Spatial Spread of Disease . . . . . . . 1355--1375 Yi Tao and Ross Cressman Stochastic Fluctuations Through Intrinsic Noise in Evolutionary Game Dynamics . . . . . . . . . . . . . . . . 1377--1399 E. J. Guirey and M. A. Bees and A. P. Martin and M. A. Srokosz and M. J. R. Fasham Emergent Features Due to Grid-Cell Biology: Synchronisation in Biophysical Models . . . . . . . . . . . . . . . . . 1401--1422 Felix Olasagasti and Alvaro Moreno and Juli Peretó and Federico Morán Energetically Plausible Model of a Self-Maintaining Protocellular System 1423--1445 Lo\"\ic Forest and Jacques Demongeot Erratum: Cellular Modelling of Secondary Radial Growth in Conifer Trees: Application to \bionamePinus radiata (D. Don) . . . . . . . . . . . . . . . . . . 1447--1447 D. J. Smith and E. A. Gaffney and J. R. Blake A Viscoelastic Traction Layer Model of Muco-Ciliary Transport . . . . . . . . . 1449--1449 Nadav Skjòndal-Bara and David R. Morris Erratum: Dynamic Model of the Process of Protein Synthesis in Eukaryotic Cells 1451--1451
Monica-Gabriela Cojocaru and Chris T. Bauch and Matthew D. Johnston Dynamics of Vaccination Strategies via Projected Dynamical Systems . . . . . . 1453--1476 D. J. Smith and E. A. Gaffney and J. R. Blake Discrete Cilia Modelling with Singularity Distributions: Application to the Embryonic Node and the Airway Surface Liquid . . . . . . . . . . . . . 1477--1510 Zhilan Feng and Dashun Xu and Haiyun Zhao Epidemiological Models with Non--Exponentially Distributed Disease Stages and Applications to Disease Control . . . . . . . . . . . . . . . . 1511--1536 R. Eftimie and G. de Vries and M. A. Lewis and F. Lutscher Modeling Group Formation and Activity Patterns in Self-Organizing Collectives of Individuals . . . . . . . . . . . . . 1537--1565 Pawel Paszek Modeling Stochasticity in Gene Regulation: Characterization in the Terms of the Underlying Distribution Function . . . . . . . . . . . . . . . . 1567--1601 Ilya Ioslovich and Per-Olof Gutman Evaluation of Experiments for Estimation of Dynamical Crop Model Parameters . . . 1603--1614 Frithjof Lutscher A Short Note on Short Dispersal Events 1615--1630 Julio A. Hernández A General Model for the Dynamics of the Cell Volume . . . . . . . . . . . . . . 1631--1648 Margarete Utz and Éva Kisdi and Michael Doebeli Quasi-Local Competition in Stage--Structured Metapopulations: a New Mechanism of Pattern Formation . . . . . 1649--1672 Britta Basse and Paolo Ubezio A Generalised Age- and Phase--Structured Model of Human Tumour Cell Populations Both Unperturbed and Exposed to a Range of Cancer Therapies . . . . . . . . . . 1673--1690 Frank Kozusko and Michele Bourdeau and Zeljko Bajzer and David Dingli A Microenvironment Based Model of Antimitotic Therapy of Gompertzian Tumor Growth . . . . . . . . . . . . . . . . . 1691--1708 Stephen J. Willson Unique Determination of Some Homoplasies at Hybridization Events . . . . . . . . 1709--1725 Melissa Vellela and Hong Qian A Quasistationary Analysis of a Stochastic Chemical Reaction: Keizer's Paradox . . . . . . . . . . . . . . . . 1727--1746 Steven D. Webb and Markus R. Owen and Helen M. Byrne and Craig Murdoch and Claire E. Lewis Macrophage-Based Anti-Cancer Therapy: Modelling Different Modes of Tumour Targeting . . . . . . . . . . . . . . . 1747--1776 David J. Bergman and Jacob S. Ishay Do Bees and Hornets Use Acoustic Resonance in Order to Monitor and Coordinate Comb Construction? . . . . . 1777--1790
David F. Anderson and Jonathan C. Mattingly and H. Frederik Nijhout and Michael C. Reed Propagation of Fluctuations in Biochemical Systems, I: Linear SSC Networks . . . . . . . . . . . . . . . . 1791--1813 J.-L. Torres and D. Castillo-Guajardo and M. Equihua and O. Pérez-Maqueo and V. Sosa and L. Torres On a New Method to Study Drastic Change in Ecosystems . . . . . . . . . . . . . 1815--1826 Helen J. Edwards and Calvin Dytham and Jonathan W. Pitchford and David Righton Prey Selection, Vertical Migrations and the Impacts of Harvesting Upon the Population Dynamics of a Predator-Prey System . . . . . . . . . . . . . . . . . 1827--1846 Svetlana Bunimovich-Mendrazitsky and Eliezer Shochat and Lewi Stone Mathematical Model of BCG Immunotherapy in Superficial Bladder Cancer . . . . . 1847--1870 Andrei Korobeinikov Global Properties of Infectious Disease Models with Nonlinear Incidence . . . . 1871--1886 T. R. Mollee and A. J. Bracken A Model of Solute Transport through \bionameStratum Corneum Using Solute Capture and Release . . . . . . . . . . 1887--1907 Abhyudai Singh and João Pedro Hespanha A Derivative Matching Approach to Moment Closure for the Stochastic Logistic Model . . . . . . . . . . . . . . . . . 1909--1925 Carina M. Edwards and S. Jonathan Chapman Biomechanical Modelling of Colorectal Crypt Budding and Fission . . . . . . . 1927--1942 Alexandra Jilkine and Athanasius F. M. Marée and Leah Edelstein-Keshet Mathematical Model for Spatial Segregation of the Rho-Family GTPases Based on Inhibitory Crosstalk . . . . . 1943--1978 Mark F. Schumaker Single-Occupancy Binding in Simple Bounded and Unbounded Systems . . . . . 1979--2003 Alex Cook and Glenn Marion and Adam Butler and Gavin Gibson Bayesian Inference for the Spatio--Temporal Invasion of Alien Species . . . . . . . . . . . . . . . . 2005--2025 Libin Rong and Zhilan Feng and Alan S. Perelson Emergence of HIV-1 Drug Resistance During Antiretroviral Treatment . . . . 2027--2060 Z. Mukandavire and W. Garira Age and Sex Structured Model for Assessing the Demographic Impact of Mother-to-Child Transmission of HIV/AIDS 2061--2092 Gary R. Huxel Antagonistic and Synergistic Interactions Among Predators . . . . . . 2093--2104 Bo Deng The Origin of Two Sexes Through Optimization of Recombination Entropy Against Time and Energy . . . . . . . . 2105--2114 C. Hui and M. A. McGeoch Spatial Patterns of Prisoner's Dilemma Game in Metapopulations . . . . . . . . 2115--2115 F. A. B. Coutinho and M. N. Burattini and L. F. Lopez and E. Massad Threshold Conditions for a Non-Autonomous Epidemic System Describing the Population Dynamics of Dengue . . . . . . . . . . . . . . . . . 2117--2117
Kerry A. Landman and Anna Q. Cai and Barry D. Hughes Travelling Waves of Attached and Detached Cells in a Wound--Healing Cell Migration Assay . . . . . . . . . . . . 2119--2138 H. T. Banks and John E. Banks and Lara K. Dick and John D. Stark Estimation of Dynamic Rate Parameters in Insect Populations Undergoing Sublethal Exposure to Pesticides . . . . . . . . . 2139--2180 Eunok Jung A Mathematical Model of Valveless Pumping: a Lumped Model with Time-Dependent Compliance, Resistance, and Inertia . . . . . . . . . . . . . . 2181--2198 Jonathan P. Whiteley and Martin J. Bishop and David J. Gavaghan Soft Tissue Modelling of Cardiac Fibres for Use in Coupled Mechano-Electric Simulations . . . . . . . . . . . . . . 2199--2225 B. Boldin and M. J. M. Bonten and O. Diekmann Relative Effects of Barrier Precautions and Topical Antibiotics on Nosocomial Bacterial Transmission: Results of Multi-compartment Models . . . . . . . . 2227--2248 R. B. Campbell Coalescent Size Versus Coalescent Time with Strong Selection . . . . . . . . . 2249--2259 Uri Yerushalmi and Mina Teicher Examining Emergence of Functional Gene Clustering in a Simulated Evolution . . 2261--2280 Boris Baeumer and Mihály Kovács and Mark M. Meerschaert Fractional Reproduction--Dispersal Equations and Heavy Tail Dispersal Kernels . . . . . . . . . . . . . . . . 2281--2297 E. Shochat and V. Rom-Kedar and L. A. Segel G-CSF Control of Neutrophils Dynamics in the Blood . . . . . . . . . . . . . . . 2299--2338 Robert Stephen Cantrell and Chris Cosner Density Dependent Behavior at Habitat Boundaries and the Allee Effect . . . . 2339--2360 Colleen L. Ball and Michael A. Gilchrist and Daniel Coombs Modeling Within-Host Evolution of HIV: Mutation, Competition and Strain Replacement . . . . . . . . . . . . . . 2361--2385 S. C. Nicolis Kinetics of Aggregate Formation in Social Insects . . . . . . . . . . . . . 2387--2403 Kerry A. Landman and Anna Q. Cai Cell Proliferation and Oxygen Diffusion in a Vascularising Scaffold . . . . . . 2405--2428 A. N. Gorban and A. Y. Zinovyev The Mystery of Two Straight Lines in Bacterial Genome Statistics . . . . . . 2429--2442 Max Shpak and Stephen R. Proulx The Role of Life Cycle and Migration in Selection for Variance in Offspring Number . . . . . . . . . . . . . . . . . 2443--2443 Erik Alpkvist and Isaac Klapper A Multidimensional Multispecies Continuum Model for Heterogeneous Biofilm Development . . . . . . . . . . 2445--2445
C. N. Podder and O. Sharomi and A. B. Gumel and S. Moses To Cut or Not to Cut: a Modeling Approach for Assessing the Role of Male Circumcision in HIV Control . . . . . . 2447--2466 Sylvie Coscoy and Etienne Huguet and François Amblard Statistical Analysis of Sets of Random Walks: How to Resolve Their Generating Mechanism . . . . . . . . . . . . . . . 2467--2492 J. Guedj and R. Thiébaut and D. Commenges Practical Identifiability of HIV Dynamics Models . . . . . . . . . . . . 2493--2513 Koichiro Uriu and Yoh Iwasa Turing Pattern Formation with Two Kinds of Cells and a Diffusive Chemical . . . 2515--2536 Tailei Zhang and Zhidong Teng On a Nonautonomous SEIRS Model in Epidemiology . . . . . . . . . . . . . . 2537--2559 Stephen J. Willson Reconstruction of Some Hybrid Phylogenetic Networks with Homoplasies from Distances . . . . . . . . . . . . . 2561--2590 Karen A. Yokley and Marina V. Evans An Example of Model Structure Differences Using Sensitivity Analyses in Physiologically Based Pharmacokinetic Models of Trichloroethylene in Humans 2591--2625 O. Krakovska and L. M. Wahl Drug-Sparing Regimens for HIV Combination Therapy: Benefits Predicted for ``Drug Coasting'' . . . . . . . . . 2627--2647 S. Ghosh and S. Bhattacharyya and D. K. Bhattacharya The Role of Viral Infection in Pest Control: a Mathematical Study . . . . . 2649--2691 R. W. Wright and Alan Hastings Spontaneous Patchiness in a Host--Parasitoid Integrodifference Model 2693--2709 Timothy C. Reluga and Jan Medlock and Eric Poolman and Alison P. Galvani Optimal Timing of Disease Transmission in an Age-Structured Population . . . . 2711--2722 Peter Huggins and Lior Pachter and Bernd Sturmfels Toward the Human Genotope . . . . . . . 2723--2735 I. J. Stamper and H. M. Byrne and M. R. Owen and P. K. Maini Modelling the Role of Angiogenesis and Vasculogenesis in Solid Tumour Growth 2737--2772 Martín Romero Book Review: \booktitleIntroduction to Computer--Intensive Methods of Data Analysis in Biology by Derek A. Roff . . 2773--2774 Arturo Rojo-Domínguez Book Review: Srinivas Aluru (ed): \booktitleHandbook of Computational Molecular Biology . . . . . . . . . . . 2775--2776
J. David Logan Phenologically-Structured Predator-Prey Dynamics with Temperature Dependence . . 1--20 Ha Youn Lee and Alan S. Perelson Modeling T Cell Proliferation and Death in Vitro Based on Labeling Data: Generalizations of the Smith--Martin Cell Cycle Model . . . . . . . . . . . . 21--44 Emma Y. Jin and Jing Qin and Christian M. Reidys Combinatorics of RNA Structures with Pseudoknots . . . . . . . . . . . . . . 45--67 Julie V. Stern and Hinke M. Osinga and Andrew LeBeau and Arthur Sherman Resetting Behavior in a Model of Bursting in Secretory Pituitary Cells: Distinguishing Plateaus from Pseudo--Plateaus . . . . . . . . . . . . 68--88 Harsh V. Jain and Jacques E. Nör and Trachette L. Jackson Modeling the VEGF--Bcl-2--CXCL8 Pathway in Intratumoral Agiogenesis . . . . . . 89--117 Junling Ma and P. van den Driessche Case Fatality Proportion . . . . . . . . 118--133 Sze-Bi Hsu and Ying-Hen Hsieh On the Role of Asymptomatic Infection in Transmission Dynamics of Infectious Diseases . . . . . . . . . . . . . . . . 134--155 Victor Kasatkin and Alain Prochiantz and David Holcman Morphogenetic Gradients and the Stability of Boundaries Between Neighboring Morphogenetic Regions . . . 156--178 G. Camelo-Neto and Ana T. C. Silva and L. Giuggioli and V. M. Kenkre Effect of Predators of Juvenile Rodents on the Spread of the Hantavirus Epidemic 179--188 David A. Cameron and David J. Ivers and Theodore A. Evans and Mary R. Myerscough Optimal Reproduction Strategies in Two Species of Mound-Building Termites . . . 189--209 Ning-Ning Pang and Wen-Jer Tzeng On the Long--Term Fitness of Cells in Periodically Switching Environments . . 210--235 Frederick R. Adler and Jessica M. C. Pearce-Duvet and M. Denise Dearing How Host Population Dynamics Translate into Time-Lagged Prevalence: an Investigation of \bionameSin Nombre Virus in Deer Mice . . . . . . . . . . . 236--252 Bradley G. Wagner and David J. D. Earn Circulating Vaccine Derived Polio Viruses and their Impact on Global Polio Eradication . . . . . . . . . . . . . . 253--280 D. I. Cattoni and O. Chara Vacuum Effects over the Closing of Enterocutaneous Fistulae: a Mathematical Modeling Approach . . . . . . . . . . . 281--296 Jun Zhang and Stanly L. Steinberg and Bridget S. Wilson and Janet M. Oliver and Lance R. Williams Markov Random Field Modeling of the Spatial Distribution of Proteins on Cell Membranes . . . . . . . . . . . . . . . 297--321
M. B. Jones and G. R. Fulford and C. P. Please and D. L. S. McElwain and M. J. Collins Elastohydrodynamics of the Eyelid Wiper 323--343 V. Lemesle and J. L. Gouzé A Simple Unforced Oscillatory Growth Model in the Chemostat . . . . . . . . . 344--357 Gianni Gilioli and Sara Pasquali and Fabrizio Ruggeri Bayesian Inference for Functional Response in a Stochastic Predator--Prey System . . . . . . . . . . . . . . . . . 358--381 Murray E. Alexander and Seyed M. Moghadas and Gergely Röst and Jianhong Wu A Delay Differential Model for Pandemic Influenza with Antiviral Treatment . . . 382--397 Andrew Whittle and Suzanne Lenhart and K. A. J. White Optimal Control of Gypsy Moth Populations . . . . . . . . . . . . . . 398--411 Sergei Petrovskii and Rod Blackshaw and Bai-Lian Li Consequences of the Allee Effect and Intraspecific Competition on Population Persistence under Adverse Environmental Conditions . . . . . . . . . . . . . . . 412--437 Tsuyoshi Hirashima and Yoh Iwasa and Yoshihiro Morishita Distance between AER and ZPA Is Defined by Feed-Forward Loop and Is Stabilized by their Feedback Loop in Vertebrate Limb Bud . . . . . . . . . . . . . . . . 438--459 Mark Alber and Tilmann Glimm and H. G. E. Hentschel and Bogdan Kazmierczak and Yong-Tao Zhang and Jianfeng Zhu and Stuart A. Newman The Morphostatic Limit for a Model of Skeletal Pattern Formation in the Vertebrate Limb . . . . . . . . . . . . 460--483 R. E. Lee DeVille and Eric Vanden-Eijnden Regularity and Synchrony in Motor Proteins . . . . . . . . . . . . . . . . 484--516 V. N. Biktashev and R. Suckley and Y. E. Elkin and R. D. Simitev Asymptotic Analysis and Analytical Solutions of a Model of Cardiac Excitation . . . . . . . . . . . . . . . 517--554 Karen A. Yokley and Hien Tran and Paul M. Schlosser Sensory Irritation Response in Rats: Modeling, Analysis and Validation . . . 555--588 Luis F. Gordillo and Stephen A. Marion and Anders Martin-Löf and Priscilla E. Greenwood Bimodal Epidemic Size Distributions for Near-Critical SIR with Vaccination . . . 589--602 Ellen Baake and Inke Herms Single-Crossover Dynamics: Finite versus Infinite Populations . . . . . . . . . . 603--624 J. López-Sauceda and J. L. Aragón Eutacticity in Sea Urchin Evolution . . 625--634 Saralees Nadarajah and Samuel Kotz The Exact Distribution of Divergence Times . . . . . . . . . . . . . . . . . 635--640 Octavio Miramontes Book Review: \booktitleComplex Systems in Biomedicine. A. Quarteroni, L. Formaggia and A. Veneziani (eds) . . . . 641--642
Michel E. Beleza Yamagishi and Alex Itiro Shimabukuro Nucleotide Frequencies in Human Genome and Fibonacci Numbers . . . . . . . . . 643--653 J. M. Lee and T. Hillen and M. A. Lewis Continuous Traveling Waves for Prey--Taxis . . . . . . . . . . . . . . 654--676 Katarzyna A. Rejniak and Alexander R. A. Anderson A Computational Study of the Development of Epithelial Acini: I. Sufficient Conditions for the Formation of a Hollow Structure . . . . . . . . . . . . . . . 677--712 William Floyd and Leslie Kay and Michael Shapiro Some Elementary Properties of SIR Networks or, Can I Get Sick because You Got Vaccinated? . . . . . . . . . . . . 713--727 Peter S. Kim and Peter P. Lee and Doron Levy Modeling Imatinib--Treated Chronic Myelogenous Leukemia: Reducing the Complexity of Agent-Based Models . . . . 728--744 D. M. Bortz and T. L. Jackson and K. A. Taylor and A. P. Thompson and J. G. Younger Klebsiella pneumoniae Flocculation Dynamics . . . . . . . . . . . . . . . . 745--768 Naveen K. Vaidya and Jianhong Wu Modeling Spruce Budworm Population Revisited: Impact of Physiological Structure on Outbreak Control . . . . . 769--784 Hulin Wu and Haihong Zhu and Hongyu Miao and Alan S. Perelson Parameter Identifiability and Estimation of HIV\slash AIDS Dynamic Models . . . . 785--799 N. G. Cogan Two-Fluid Model of Biofilm Disinfection 800--819 Michael P. Atkinson and Lawrence M. Wein Quantifying the Routes of Transmission for Pandemic Influenza . . . . . . . . . 820--867 N. Bessonov and N. Morozova and V. Volpert Modeling of Branching Patterns in Plants 868--893 Elamin H. Elbasha Global Stability of Equilibria in a Two-Sex HPV Vaccination Model . . . . . 894--909 Tatiana Sulman and Leonid B. Katsnelson and Olga Solovyova and Vladimir S. Markhasin Mathematical Modeling of Mechanically Modulated Rhythm Disturbances in Homogeneous and Heterogeneous Myocardium with Attenuated Activity of Na$^+$--K$^+$ Pump . . . . . . . . . . . 910--949
Emma Y. Jin and Christian M. Reidys Asymptotic Enumeration of RNA Structures with Pseudoknots . . . . . . . . . . . . 951--970 Tim Rudge and Kevin Burrage Effects of Intrinsic and Extrinsic Noise Can Accelerate Juxtacrine Pattern Formation . . . . . . . . . . . . . . . 971--991 A. Bertuzzi and A. Fasano and A. Gandolfi and C. Sinisgalli Reoxygenation and Split-Dose Response to Radiation in a Tumour Model with Krogh-Type Vascular Geometry . . . . . . 992--1012 Derin B. Wysham and Alan Hastings Sudden Shifts in Ecological Systems: Intermittency and Transients in the Coupled Ricker Population Model . . . . 1013--1031 Atul Narang and Sergei S. Pilyugin Bistability of the lac Operon During Growth of \bionameEscherichia coli on Lactose and Lactose $+$ Glucose . . . . 1032--1064 Daniel John Lawson and Henrik Jeldtoft Jensen Understanding Clustering in Type Space Using Field Theoretic Techniques . . . . 1065--1081 Tanja Gernhard New Analytic Results for Speciation Times in Neutral Models . . . . . . . . 1082--1097 Shigui Ruan and Dongmei Xiao and John C. Beier On the Delayed Ross--Macdonald Model for Malaria Transmission . . . . . . . . . . 1098--1114 Frederick A. Matsen and Elchanan Mossel and Mike Steel Mixed-up Trees: the Structure of Phylogenetic Mixtures . . . . . . . . . 1115--1139 Tufail Malik and Hal L. Smith Does Dormancy Increase Fitness of Bacterial Populations in Time-Varying Environments? . . . . . . . . . . . . . 1140--1162 C. P. Bhunu and W. Garira and Z. Mukandavire and M. Zimba Tuberculosis Transmission Model with Chemoprophylaxis and Treatment . . . . . 1163--1191 Xingzhou Yang and Robert H. Dillon and Lisa J. Fauci An Integrative Computational Model of Multiciliary Beating . . . . . . . . . . 1192--1215 Norberto Aníbal Maidana and Wilson Castro Ferreira, Jr. The Geographic Spread of ``El mal de las caderas'' in Capybaras (\bionameHydrochaeris hydrochaeris) . . 1216--1234 Sladjana Spasic and Milka Culic and Gordana Grbic and Ljiljana Martac and Slobodan Sekulic and Dragosav Mutavdzic Spectral and Fractal Analysis of Cerebellar Activity After Single and Repeated Brain Injury . . . . . . . . . 1235--1249 Moisés Santillán and Eduardo S. Zeron Analytical Study of the Multiplicity of Regulatory Mechanisms in the Tryptophan Operon . . . . . . . . . . . . . . . . . 1250--1250
Richard Bertram and Rudy C. Arceo II A Mathematical Study of the Differential Effects of Two SERCA Isoforms on Ca$^{2+}$ Oscillations in Pancreatic Islets . . . . . . . . . . . . . . . . . 1251--1271 Nakul Chitnis and James M. Hyman and Jim M. Cushing Determining Important Parameters in the Spread of Malaria Through the Sensitivity Analysis of a Mathematical Model . . . . . . . . . . . . . . . . . 1272--1296 Marcelo Otero and Nicolás Schweigmann and Hernán G. Solari A Stochastic Spatial Dynamical Model for Aedes Aegypti . . . . . . . . . . . . . 1297--1325 Michela Masé and Leon Glass and Flavia Ravelli A Model for Mechano--Electrical Feedback Effects on Atrial Flutter Interval Variability . . . . . . . . . . . . . . 1326--1347 J. R. Stirling and M. S. Zakynthinaki and V. Billat Modeling and Analysis of the Effect of Training on $ \dot {V}O_2 $ Kinetics and Anaerobic Capacity . . . . . . . . . . . 1348--1370 A. B. Potapov and M. A. Lewis Allee Effect and Control of Lake System Invasion . . . . . . . . . . . . . . . . 1371--1397 Julio Aracena Maximum Number of Fixed Points in Regulatory Boolean Networks . . . . . . 1398--1409 Arne Traulsen and Noam Shoresh and Martin A. Nowak Analytical Results for Individual and Group Selection of Any Intensity . . . . 1410--1424 E. Arribas and A. Muñoz-Lopez and M. J. Garcia-Meseguer and A. Lopez-Najera and L. Avalos and F. Garcia-Molina and M. Garcia-Moreno and R. Varon Mean Lifetime and First-Passage Time of the Enzyme Species Involved in an Enzyme Reaction. Application to Unstable Enzyme Systems . . . . . . . . . . . . . . . . 1425--1449 Katarzyna A. Rejniak and Alexander R. A. Anderson A Computational Study of the Development of Epithelial Acini: II. Necessary Conditions for Structure and Lumen Stability . . . . . . . . . . . . . . . 1450--1479 Kurt E. Anderson and Roger M. Nisbet and Edward McCauley Transient Responses to Spatial Perturbations in Advective Systems . . . 1480--1502 Allan R. Willms and Dominic Nelson A Geometric Comparison of Single Chain Multi-State Models of Ion Channel Gating 1503--1524
M. J. Tindall and S. L. Porter and P. K. Maini and G. Gaglia and J. P. Armitage Overview of Mathematical Approaches Used to Model Bacterial Chemotaxis I: The Single Cell . . . . . . . . . . . . . . 1525--1569 M. J. Tindall and P. K. Maini and S. L. Porter and J. P. Armitage Overview of Mathematical Approaches Used to Model Bacterial Chemotaxis II: Bacterial Populations . . . . . . . . . 1570--1607 R. E. Lee DeVille and Charles S. Peskin Synchrony and Asynchrony in a Fully Stochastic Neural Network . . . . . . . 1608--1633 Ariane Verdy and Hal Caswell Sensitivity Analysis of Reactive Ecological Dynamics . . . . . . . . . . 1634--1659 Tomá\vs Gedeon and Konstantin Mischaikow and Kate Patterson and Eliane Traldi When Activators Repress and Repressors Activate: a Qualitative Analysis of the Shea--Ackers Model . . . . . . . . . . . 1660--1683 Doron Levy and Tiago Requeijo Stochastic Models for Phototaxis . . . . 1684--1706 Amina Eladdadi and David Isaacson A Mathematical Model for the Effects of HER2 Overexpression on Cell Proliferation in Breast Cancer . . . . . 1707--1729 Eric L. Haseltine and Vy Lam and John Yin and James B. Rawlings Image-Guided Modeling of Virus Growth and Spread . . . . . . . . . . . . . . . 1730--1748 Hongyu Miao and Carrie Dykes and Lisa M. Demeter and James Cavenaugh and Sung Yong Park and Alan S. Perelson and Hulin Wu Modeling and Estimation of Kinetic Parameters and Replicative Fitness of HIV-1 from Flow-Cytometry-Based Growth Competition Experiments . . . . . . . . 1749--1771 Tiina Roose and Andrew C. Fowler Network Development in Biological Gels: Role in Lymphatic Vessel Development . . 1772--1789 Mark Kot and Michael G. Neubert Saddle-Point Approximations, Integrodifference Equations, and Invasions . . . . . . . . . . . . . . . 1790--1826
Marjolein E. Lof and Rampal S. Etienne and James Powell and Maarten de Gee and Lia Hemerik The Effect of Chemical Information on the Spatial Distribution of Fruit Flies: I. Model Results . . . . . . . . . . . . 1827--1849 Maarten de Gee and Marjolein E. Lof and Lia Hemerik The Effect of Chemical Information on the Spatial Distribution of Fruit Flies: II. Parameterization, Calibration, and Sensitivity . . . . . . . . . . . . . . 1850--1868 Fred Brauer Epidemic Models with Heterogeneous Mixing and Treatment . . . . . . . . . . 1869--1885 Ruijun Zhao and Fabio Augusto Milner A Mathematical Model of \bionameSchistosoma mansoni in \bionameBiomphalaria glabrata with Control Strategies . . . . . . . . . . . 1886--1905 S. Grünewald and K. T. Huber and Q. Wu Two Novel Closure Rules for Constructing Phylogenetic Super-Networks . . . . . . 1906--1924 Neli R. S. Ortega and Fabiano S. Santos and Dirce M. T. Zanetta and Eduardo Massad A Fuzzy Reed--Frost Model for Epidemic Spreading . . . . . . . . . . . . . . . 1925--1936 Daniel Campos and Vicenç Méndez and Vicente Ortega-Cejas Lattice Models for Invasions through Patchy Environments . . . . . . . . . . 1937--1956 Yoshihiro Morishita and Yoh Iwasa Growth Based Morphogenesis of Vertebrate Limb Bud . . . . . . . . . . . . . . . . 1957--1978 Richard Bertram and Joseph Rhoads and Wendy P. Cimbora A Phantom Bursting Mechanism for Episodic Bursting . . . . . . . . . . . 1979--1993 Peter S. Kim and Peter P. Lee and Doron Levy A PDE Model for Imatinib-Treated Chronic Myelogenous Leukemia . . . . . . . . . . 1994--2016 N. Bairagi and R. R. Sarkar and J. Chattopadhyay Impacts of Incubation Delay on the Dynamics of an Eco-Epidemiological System --- A Theoretical Study . . . . . 2017--2038 Michael Bode and Kerrie Wilson and Marissa McBride and Hugh Possingham Optimal Dynamic Allocation of Conservation Funding Among Priority Regions . . . . . . . . . . . . . . . . 2039--2054 Svetlana Bunimovich-Mendrazitsky and Helen Byrne and Lewi Stone Mathematical Model of Pulsed Immunotherapy for Superficial Bladder Cancer . . . . . . . . . . . . . . . . . 2055--2076 Barbara Boldin Persistence and Spread of Gastro-Intestinal Infections: the Case of Enterotoxigenic \bionameEscherichia coli in Piglets . . . . . . . . . . . . 2077--2101
Yue-Xian Li and Anmar Khadra Robust Synchrony and Rhythmogenesis in Endocrine Neurons via Autocrine Regulations In Vitro and In Vivo . . . . 2103--2125 Elamin H. Elbasha and Erik J. Dasbach and Ralph P. Insinga A Multi-Type HPV Transmission Model . . 2126--2176 Sara Larsson and Tobias Rydén and Ulla Holst and Stina Oredsson and Maria Johansson Estimating the Total Rate of DNA Replication Using Branching Processes 2177--2194 Min Su and Cang Hui and YanYu Zhang and Zizhen Li Spatiotemporal Dynamics of the Epidemic Transmission in a Predator--Prey System 2195--2210 Richard Bertram and Yue-Xian Li A Mathematical Model for the Actions of Activin, Inhibin, and Follistatin on Pituitary Gonadotrophs . . . . . . . . . 2211--2228 E. A. Gaffney and J. K. Heath and M. Z. Kwiatkowska A Mass Action Model of a Fibroblast Growth Factor Signaling Pathway and Its Simplification . . . . . . . . . . . . . 2229--2263 Paul Hurtado The Potential Impact of Disease on the Migratory Structure of a Partially Migratory Passerine Population . . . . . 2264--2282 Tobias Jahnke and Wilhelm Huisinga A Dynamical Low-Rank Approach to the Chemical Master Equation . . . . . . . . 2283--2302 J. A. D. Wattis and B. O'Malley and H. Blackburn and L. Pickersgill and J. Panovska and H. M. Byrne and K. G. Jackson Mathematical Model for Low Density Lipoprotein (LDL) Endocytosis by Hepatocytes . . . . . . . . . . . . . . 2303--2333 S. Jonathan Chapman and Rebecca J. Shipley and Rossa Jawad Multiscale Modeling of Fluid Transport in Tumors . . . . . . . . . . . . . . . 2334--2357
Nicola J. Armstrong and Kevin J. Painter and Jonathan A. Sherratt Adding Adhesion to a Chemical Signaling Model for Somite Formation . . . . . . . 1--24 E. G. Burkhead and J. M. Hawkins and D. K. Molinek A Dynamical Study of a Cellular Automata Model of the Spread of HIV in a Lymph Node . . . . . . . . . . . . . . . . . . 25--74 Andrei Korobeinikov Global Properties of SIR and SEIR Epidemic Models with Multiple Parallel Infectious Stages . . . . . . . . . . . 75--83 Yuri Bakhtin and Christine E. Heitsch Large Deviations for Random Trees and the Branching of RNA Secondary Structures . . . . . . . . . . . . . . . 84--106 Hannah W. McKenzie and Mark A. Lewis and Evelyn H. Merrill First Passage Time Analysis of Animal Movement and Insights into the Functional Response . . . . . . . . . . 107--129 Eli E. Goldwyn and Alan Hastings Small Heterogeneity Has Large Effects on Synchronization of Ecological Oscillators . . . . . . . . . . . . . . 130--144 Michael C. White and Xiao-Qiang Zhao A Periodic Droop Model for Two Species Competition in A Chemostat . . . . . . . 145--161 J. Latulippe and M. Pernarowski A Nonautonomous Phenomenological Model for On and Off Responses of Cells in Sensory System . . . . . . . . . . . . . 162--188 Patrick De Leenheer Within-Host Virus Models with Periodic Antiviral Therapy . . . . . . . . . . . 189--210 Jennifer A. Thackham and D. L. Sean McElwain and Ian W. Turner Computational Approaches to Solving Equations Arising from Wound Healing . . 211--246 Caroline Colijn and Ted Cohen and Megan Murray Latent Coinfection and the Maintenance of Strain Diversity . . . . . . . . . . 247--263
Christian M. Reidys Local Connectivity of Neutral Networks 265--290 Abbey J. Trewenack and Kerry A. Landman A Traveling Wave Model for Invasion by Precursor and Differentiated Cells . . . 291--317 S. Soubeyrand and S. Neuvonen and A. Penttinen Mechanical-Statistical Modeling in Ecology: From Outbreak Detections to Pest Dynamics . . . . . . . . . . . . . 318--338 David Bryant Hadamard Phylogenetic Methods and the $n$-taxon Process . . . . . . . . . . . 339--351 Ryan Lukeman and Yue-Xian Li and Leah Edelstein-Keshet A Conceptual Model for Milling Formations in Biological Aggregates . . 352--382 A. V. Melkikh and V. D. Seleznev Model of Active Transport of Ions in Archaea Cells . . . . . . . . . . . . . 383--398 H. Berestycki and O. Diekmann and C. J. Nagelkerke and P. A. Zegeling Can a Species Keep Pace with a Shifting Climate? . . . . . . . . . . . . . . . . 399--429 Mainul Haque Ratio-Dependent Predator--Prey Models of Interacting Populations . . . . . . . . 430--452 Jason T. Noel and Atul Narang Gene Regulation in Continuous Cultures: a Unified Theory for Bacteria and Yeasts 453--514
Anita T. Layton and Leon C. Moore and Harold E. Layton Multistable Dynamics Mediated by Tubuloglomerular Feedback in a Model of Coupled Nephrons . . . . . . . . . . . . 515--555 W. Brent Lindquist and Ivan D. Chase Data-Based Analysis of Winner--Loser Models of Hierarchy Formation in Animals 556--584 Craig J. Thalhauser and Tejas Sankar and Mark C. Preul and Yang Kuang Explicit Separation of Growth and Motility in a New Tumor Cord Model . . . 585--601 Ingo Roeder and Maria Herberg and Matthias Horn An ``Age'' Structured Model of Hematopoietic Stem Cell Organization with Application to Chronic Myeloid Leukemia . . . . . . . . . . . . . . . . 602--626 Jifa Jiang and Zhipeng Qiu and Jianhong Wu and Huaiping Zhu Threshold Conditions for West Nile Virus Outbreaks . . . . . . . . . . . . . . . 627--647 Wasima Rida and Sonja Sandberg Modeling the Population Level Effects of an HIV-1 Vaccine in an Era of Highly Active Antiretroviral Therapy . . . . . 648--680 Jacques M. Bahi and Christian J. Michel A Stochastic Model of Gene Evolution with Time Dependent Pseudochaotic Mutations . . . . . . . . . . . . . . . 681--700 Richard M. Vogel and Jonathan R. M. Hosking and Chris S. Elphick and David L. Roberts and J. Michael Reed Goodness of Fit of Probability Distributions for Sightings as Species Approach Extinction . . . . . . . . . . 701--719 Anna M. Foss and Peter T. Vickerman and Zaid Chalabi and Philippe Mayaud and Michel Alary and Charlotte H. Watts Dynamic Modeling of Herpes Simplex Virus Type-2 (HSV-2) Transmission: Issues in Structural Uncertainty . . . . . . . . . 720--749 Liliana Félix and Francesc Rosselló and Gabriel Valiente Efficient Reconstruction of Metabolic Pathways by Bidirectional Chemical Search . . . . . . . . . . . . . . . . . 750--769
C. Z. Roux The Applicability of Ordinary Least Squares to Consistently Short Distances between Taxa in Phylogenetic Tree Construction and the Normal Distribution Test Consequences . . . . . . . . . . . 771--780 Matthew J. Simpson and Kerry A. Landman and Barry D. Hughes Distinguishing between Directed and Undirected Cell Motility within an Invading Cell Population . . . . . . . . 781--799 Lloyd Demetrius and Stéphane Legendre and Peter Harremöes Evolutionary Entropy: a Predictor of Body Size, Metabolic Rate and Maximal Life Span . . . . . . . . . . . . . . . 800--818 Maia Martcheva Evolutionary Consequences of Predation for Pathogens in Prey . . . . . . . . . 819--844 Richard I. Joh and Hao Wang and Howard Weiss and Joshua S. Weitz Dynamics of Indirectly Transmitted Infectious Diseases with Immunological Threshold . . . . . . . . . . . . . . . 845--862 Andrew Morozov and Sergei Petrovskii Excitable Population Dynamics, Biological Control Failure, and Spatiotemporal Pattern Formation in a Model Ecosystem . . . . . . . . . . . . 863--887 Istvan Z. Kiss and Péter L. Simon and Rowland R. Kao A Contact--Network-Based Formulation of a Preferential Mixing Model . . . . . . 888--905 J. E. F. Green and S. L. Waters and K. M. Shakesheff and H. M. Byrne A Mathematical Model of Liver Cell Aggregation In Vitro . . . . . . . . . . 906--930 Yasuhiro Takeuchi and Wendi Wang and Shinji Nakaoka and Shingo Iwami Dynamical Adaptation of Parental Care 931--951 Brian P. Yurk and James A. Powell Modeling the Evolution of Insect Phenology . . . . . . . . . . . . . . . 952--979 Donald A. Drew and Gretchen A. Koch and Heather Vellante and Ronak Talati and Oswaldo Sanchez Analyses of Mechanisms for Force Generation During Cell Septation in \bionameEscherichia coli . . . . . . . . 980--1005 Stefan Zeiser and Uwe Franz and Johannes Müller and Volkmar Liebscher Hybrid Modeling of Noise Reduction by a Negatively Autoregulated System . . . . 1006--1024
Osvaldo Chara and Diego E. Pafundo and Pablo J. Schwarzbaum Kinetics of Extracellular ATP from Goldfish Hepatocytes: A Lesson from Mathematical Modeling . . . . . . . . . 1025--1047 D. W. Verzi and O. Y. Noris A Compartmental Model for Activity--Dependent Dendritic Spine Branching . . . . . . . . . . . . . . . 1048--1072 Sanjay Basu and Alison P. Galvani The Evolution of Tuberculosis Virulence 1073--1088 J. T. Locsei and T. J. Pedley Run and Tumble Chemotaxis in a Shear Flow: The Effect of Temporal Comparisons, Persistence, Rotational Diffusion, and Cell Shape . . . . . . . 1089--1116 Kevin J. Painter Continuous Models for Cell Migration in Tissues and Applications to Cell Sorting via Differential Chemotaxis . . . . . . 1117--1147 Meng Gao Continuous Probabilistic Analysis to Evolutionary Game Dynamics in Finite Populations . . . . . . . . . . . . . . 1148--1159 Lauren O'Malley and G. Korniss and Thomas Caraco Ecological Invasion, Roughened Fronts, and a Competitor's Extreme Advance: Integrating Stochastic Spatial--Growth Models . . . . . . . . . . . . . . . . . 1160--1188 Nikodem J. Pop\lawski and Ubirajara Agero and J. Scott Gens and Maciej Swat and James A. Glazier and Alexander R. A. Anderson Front Instabilities and Invasiveness of Simulated Avascular Tumors . . . . . . . 1189--1227 Chia-Yu Hsu and Robert Dillon A $3$D Motile Rod-Shaped Monotrichous Bacterial Model . . . . . . . . . . . . 1228--1263 Lee Altenberg The Evolutionary Reduction Principle for Linear Variation in Genetic Transmission 1264--1284
Alan M. Weinstein and Eduardo D. Sontag Modeling Proximal Tubule Cell Homeostasis: Tracking Changes in Luminal Flow . . . . . . . . . . . . . . . . . . 1285--1322 S. Strohm and R. Tyson The Effect of Habitat Fragmentation on Cyclic Population Dynamics: a Numerical Study . . . . . . . . . . . . . . . . . 1323--1348 Sergei P. Atamas and Jonathan Bell Degeneracy-Driven Self-Structuring Dynamics in Selective Repertoires . . . 1349--1365 Daniel A. Beard and Fan Wu Apparent Diffusivity and Taylor Dispersion of Water and Solutes in Capillary Beds . . . . . . . . . . . . . 1366--1377 Gustavo Cruz-Pacheco and Lourdes Esteva and Cristobal Vargas Seasonality and Outbreaks in West Nile Virus Infection . . . . . . . . . . . . 1378--1393 Thomas Fournier and Jean-Pierre Gabriel and Christian Mazza and Jerôme Pasquier and José Galbete and Nicolas Mermod Stochastic Models and Numerical Algorithms for a Class of Regulatory Gene Networks . . . . . . . . . . . . . 1394--1431 Michael K. Fenwick and Fernando A. Escobedo Exploration of Factors Affecting the Onset and Maturation Course of Follicular Lymphoma through Simulations of the Germinal Center . . . . . . . . . 1432--1462 Rodrigo T. N. Cardoso and André R. da Cruz and Elizabeth F. Wanner and Ricardo H. C. Takahashi Multi-Objective Evolutionary Optimization of Biological Pest Control with Impulsive Dynamics in Soybean Crops 1463--1481 Saziye Bayram and Tracy L. Stepien and E. Bruce Pitman TGF-Mediated Dynamics in a System of Many Coupled Nephrons . . . . . . . . . 1482--1506 Bart Haegeman and Rampal S. Etienne Neutral Models with Generalised Speciation . . . . . . . . . . . . . . . 1507--1519 C. Pozrikidis Numerical Simulation of Blood Flow Through Microvascular Capillary Networks 1520--1541
Zachary Cooper and Michael Greenwood and Borbala Mazzag A Computational Analysis of Localized Ca$^{2+}$-Dynamics Generated by Heterogeneous Release Sites . . . . . . 1543--1579 Anna Grosberg and Morteza Gharib and Arash Kheradvar Effect of Fiber Geometry on Pulsatile Pumping and Energy Expenditure . . . . . 1580--1598 Chetan J. Gadgil Size-Independent Differences between the Mean of Discrete Stochastic Systems and the Corresponding Continuous Deterministic Systems . . . . . . . . . 1599--1611 Claudia Carrillo and Kirill Cherednichenko and Nicholas Britton and Michael Mogie Dynamic Coexistence of Sexual and Asexual Invasion Fronts in a System of Integro--Difference Equations . . . . . 1612--1625 Heikki Haario and Leonid Kalachev and Marko Laine Reduced Models of Algae Growth . . . . . 1626--1648 Ha Youn Lee and Edwin Hawkins and Martin S. Zand and Tim Mosmann and Hulin Wu and Philip D. Hodgkin and Alan S. Perelson Interpreting CFSE Obtained Division Histories of B Cells in Vitro with Smith--Martin and Cyton Type Models . . 1649--1670 Sebastian C. Hensel and James B. Rawlings and John Yin Stochastic Kinetic Modeling of Vesicular Stomatitis Virus Intracellular Growth 1671--1692 Thomas House and Geoffrey Davies and Leon Danon and Matt J. Keeling A Motif-Based Approach to Network Epidemics . . . . . . . . . . . . . . . 1693--1706 Paul E. Hand and Boyce E. Griffith and Charles S. Peskin Deriving Macroscopic Myocardial Conductivities by Homogenization of Microscopic Models . . . . . . . . . . . 1707--1726 Vicenç Méndez and Daniel Campos and Andy W. Sheppard A Model for Plant Invasions: the Role of Distributed Generation Times . . . . . . 1727--1744 C. P. Bhunu and W. Garira and Z. Mukandavire Modeling HIV\slash AIDS and Tuberculosis Coinfection . . . . . . . . . . . . . . 1745--1780 Nicolas Bacaër Periodic Matrix Population Models: Growth Rate, Basic Reproduction Number, and Entropy . . . . . . . . . . . . . . 1781--1792
R. Hambrock and Y. Lou The Evolution of Conditional Dispersal Strategies in Spatially Heterogeneous Habitats . . . . . . . . . . . . . . . . 1793--1817 Naoki Masuda and Hisashi Ohtsuki A Theoretical Analysis of Temporal Difference Learning in the Iterated Prisoner's Dilemma Game . . . . . . . . 1818--1850 Diego A. Oyarzún and Brian P. Ingalls and Richard H. Middleton and Dimitrios Kalamatianos Sequential Activation of Metabolic Pathways: a Dynamic Optimization Approach . . . . . . . . . . . . . . . . 1851--1872 Jianjun Paul Tian and Xiao-Song Lin The Mutation Process in Colored Coalescent Theory . . . . . . . . . . . 1873--1889 Marcos A. Capistrán and Miguel A. Moreles and Bruno Lara Parameter Estimation of Some Epidemic Models. The Case of Recurrent Epidemics Caused by Respiratory Syncytial Virus 1890--1901 Martin Camitz and Åke Svensson The Effect of Time Distribution Shape on a Complex Epidemic Model . . . . . . . . 1902--1913 Atilla Sit and Zhijun Wu and Yaxiang Yuan A Geometric Buildup Algorithm for the Solution of the Distance Geometry Problem Using Least--Squares Approximation . . . . . . . . . . . . . 1914--1933 Diomar Cristina Mistro and Luiz Alberto Díaz Rodrigues and Maria Cristina Varriale The Role of Spatial Refuges in Coupled Map Lattice Model for Host--Parasitoid Systems . . . . . . . . . . . . . . . . 1934--1953 Nicolas Bacaër and M. Gabriela M. Gomes On the Final Size of Epidemics with Seasonality . . . . . . . . . . . . . . 1954--1966 Wenxia Ying and Gabriel Huerta and Stanly Steinberg and Martha Zúñiga Time Series Analysis of Particle Tracking Data for Molecular Motion on the Cell Membrane . . . . . . . . . . . 1967--2024 Sanyi Tang and Robert A. Cheke and Yanni Xiao Effects of Predator and Prey Dispersal on Success or Failure of Biological Control . . . . . . . . . . . . . . . . 2025--2047 Jing Li and Xingfu Zou Modeling Spatial Spread of Infectious Diseases with a Fixed Latent Period in a Spatially Continuous Domain . . . . . . 2048--2079
Zhipeng Qiu and Zhilan Feng Transmission Dynamics of an Influenza Model with Vaccination and Antiviral Treatment . . . . . . . . . . . . . . . 1--33 Anita T. Layton and Aurélie Edwards Tubuloglomerular Feedback Signal Transduction in a Short Loop of Henle 34--62 Miranda I. Teboh-Ewungkem and Chandra N. Podder and Abba B. Gumel Mathematical Study of the Role of Gametocytes and an Imperfect Vaccine on Malaria Transmission Dynamics . . . . . 63--93 Lud\vek Berec Impacts of Foraging Facilitation Among Predators on Predator-prey Dynamics . . 94--121 Ying-Hen Hsieh and Cathy W. S. Chen and Shu-Fang Hsu Schmitz and Chwan-Chuan King and Wei-Ju Chen and Yi-Chun Wu and Mei-Shang Ho Candidate Genes Associated with Susceptibility for SARS-Coronavirus . . 122--132 Hamid Reza Noori and Willi Jäger Neurochemical Oscillations in the Basal Ganglia . . . . . . . . . . . . . . . . 133--147 Vitaliy Gyrya and Igor S. Aranson and Leonid V. Berlyand and Dmitry Karpeev A Model of Hydrodynamic Interaction Between Swimming Bacteria . . . . . . . 148--183 Hanna T. M. Eskola and Kalle Parvinen The Allee Effect in Mechanistic Models Based on Inter-individual Interaction Processes . . . . . . . . . . . . . . . 184--207 Mareike Fischer and Bhalchandra Thatte Revisiting an Equivalence Between Maximum Parsimony and Maximum Likelihood Methods in Phylogenetics . . . . . . . . 208--220 Stewart D. Johnson Theoretical Considerations of Fisher's Theorem in Small At-Risk Populations . . 221--229 Brynja R. Kohler and Rebecca J. Swank and James W. Haefner and James A. Powell Leading Students to Investigate Diffusion as a Model of Brine Shrimp Movement . . . . . . . . . . . . . . . . 230--257
A. M. de Roos and O. Diekmann and P. Getto and M. A. Kirkilionis Numerical Equilibrium Analysis for Structured Consumer Resource Models . . 259--297 Kenneth H. Norwich A Mathematical Exploration of the Mystery of Loudness Adaptation . . . . . 298--313 Mariano Marcano and Anita T. Layton and Harold E. Layton Maximum Urine Concentrating Capability in a Mathematical Model of the Inner Medulla of the Rat Kidney . . . . . . . 314--339 Stephen J. Willson Properties of Normal Phylogenetic Networks . . . . . . . . . . . . . . . . 340--358 Rainer K. Sachs and Lynn Hlatky A Rapid-Mutation Approximation for Cell Population Dynamics . . . . . . . . . . 359--374 Emma Y. Jin and Christian M. Reidys Irreducibility in RNA Structures . . . . 375--399 P. Moreo and E. A. Gaffney and J. M. García-Aznar and M. Doblaré On the Modelling of Biological Patterns with Mechanochemical Models: Insights from Analysis and Computation . . . . . 400--431 Vicenç Méndez and Daniel Campos and Isaac Llopis and Werner Horsthemke Extinction and Chaotic Patterns in Map Lattices Under Hostile Conditions . . . 432--443 Nuno M. Oliveira and Frank M. Hilker Modelling Disease Introduction as Biological Control of Invasive Predators to Preserve Endangered Prey . . . . . . 444--468 Matt Biesecker and Jung-Han Kimn and Huitian Lu and David Dingli and \vZeljko Bajzer Optimization of Virotherapy for Cancer 469--489 Konstantin B. Blyuss and Yuliya N. Kyrychko Stability and Bifurcations in an Epidemic Model with Varying Immunity Period . . . . . . . . . . . . . . . . . 490--505
Cammey C. Manning and Paul M. Schlosser and Hien T. Tran A Multicompartment Liver-based Pharmacokinetic Model for Benzene and its Metabolites in Mice . . . . . . . . 507--540 Tomá\vs Gedeon and Clara Bodelón and Amy Kuenzi Hantavirus Transmission in Sylvan and Peridomestic Environments . . . . . . . 541--564 Mark A. Lewis and William Nelson and Cailin Xu A Structured Threshold Model for Mountain Pine Beetle Outbreak . . . . . 565--589 Jonathan L. Mitchell and Thomas W. Carr Oscillations in an Intra-host Model of \bionamePlasmodium falciparum Malaria Due to Cross-reactive Immune Response 590--610 Peter S. Kim and Peter P. Lee and Doron Levy Emergent Group Dynamics Governed by Regulatory Cells Produce a Robust Primary T Cell Response . . . . . . . . 611--644 S. Schamberg and P. Houston and N. A. M. Monk and M. R. Owen Modelling and Analysis of Planar Cell Polarity . . . . . . . . . . . . . . . . 645--680 Horacio Gómez-Acevedo and Michael Y. Li and Steven Jacobson Multistability in a Model for CTL Response to HTLV-I Infection and Its Implications to HAM/TSP Development and Prevention . . . . . . . . . . . . . . . 681--696 Martin Brown and Fei He and Stephen J. Wilkinson Properties of the Proximate Parameter Tuning Regularization Algorithm . . . . 697--718 Ruth E. Baker and Christian A. Yates and Radek Erban From Microscopic to Macroscopic Descriptions of Cell Migration on Growing Domains . . . . . . . . . . . . 719--762 Ying-Hen Hsieh and Cathy W. S. Chen and Shu-Fang Hsu Schmitz and Chwan-Chuan King and Wei-Ju Chen and Yi-Chun Wu and Mei-Shang Ho Erratum to: Candidate Genes Associated with Susceptibility for SARS-Coronavirus 763--763
Meagan C. Herald General Model of Inflammation . . . . . 765--779 Majid Bani-Yaghoub and David E. Amundsen Dynamics of Notch Activity in a Model of Interacting Signaling Pathways . . . . . 780--804 Jinzhi Lei and You Song Mathematical Model of the Formation of Morphogen Gradients Through Membrane-Associated Non-receptors . . . 805--829 Trachette Jackson and Xiaoming Zheng A Cell-based Model of Endothelial Cell Migration, Proliferation and Maturation During Corneal Angiogenesis . . . . . . 830--868 F. Diotallevi and B. M. Mulder and J. Grasman On the Robustness of the Geometrical Model for Cell Wall Deposition . . . . . 869--895 Alex James and Jonathan W. Pitchford and Michael J. Plank Efficient or Inaccurate? Analytical and Numerical Modelling of Random Search Strategies . . . . . . . . . . . . . . . 896--913 Bassidy Dembele and Avner Friedman and Abdul-Aziz Yakubu Mathematical Model for Optimal Use of Sulfadoxine-Pyrimethamine as a Temporary Malaria Vaccine . . . . . . . . . . . . 914--930 Luju Liu and Xiao-Qiang Zhao and Yicang Zhou A Tuberculosis Model with Seasonality 931--952 Tanner Crowder and Chi-Kwong Li Studying Genetic Code by a Matrix Approach . . . . . . . . . . . . . . . . 953--972 Sébastien Michelin and Eric Lauga The Long-Time Dynamics of Two Hydrodynamically-Coupled Swimming Cells 973--1005 Kbenesh W. Blayneh and Abba B. Gumel and Suzanne Lenhart and Tim Clayton Backward Bifurcation and Optimal Control in Transmission Dynamics of West Nile Virus . . . . . . . . . . . . . . . . . 1006--1028
Yangjin Kim and Avner Friedman Interaction of Tumor with Its Micro-environment: A Mathematical Model 1029--1068 A. Bertuzzi and C. Bruni and A. Fasano and A. Gandolfi and F. Papa and C. Sinisgalli Response of Tumor Spheroids to Radiation: Modeling and Parameter Estimation . . . . . . . . . . . . . . . 1069--1091 D. Brian Walton and Benjamin P. Leard and Anthony Tongen An Optimal Strategy for Energy Allocation in a Multiple Resource Environment . . . . . . . . . . . . . . 1092--1123 G. P. Karev Replicator Equations and the Principle of Minimal Production of Information . . 1124--1142 Benjamin L. Vaughan, Jr. and Bryan G. Smith and David L. Chopp The Influence of Fluid Flow on Modeling Quorum Sensing in Bacterial Biofilms . . 1143--1165 François Hamel and Julien Fayard and Lionel Roques Spreading Speeds in Slowly Oscillating Environments . . . . . . . . . . . . . . 1166--1191 Gang Huang and Yasuhiro Takeuchi and Wanbiao Ma and Daijun Wei Global Stability for Delay SIR and SEIR Epidemic Models with Nonlinear Incidence Rate . . . . . . . . . . . . . . . . . . 1192--1207 Freda Wasserstein-Robbins A Mathematical Model of HIV Infection: Simulating T4, T8, Macrophages, Antibody, and Virus via Specific Anti-HIV Response in the Presence of Adaptation and Tropism . . . . . . . . . 1208--1253 Allison Kolpas and Roger M. Nisbet Effects of Demographic Stochasticity on Population Persistence in Advective Media . . . . . . . . . . . . . . . . . 1254--1270 William S. C. Gurney and Eddie McKenzie and Philip J. Bacon Maturity Dispersion, Stock Auto-Correlation, and Management Strategy in Exploited Populations . . . 1271--1293 Marcos Amaku and Marcelo Nascimento Burattini and Francisco Antonio Bezerra Coutinho and Eduardo Massad Modeling the Dynamics of Viral Evolution Considering Competition Within Individual Hosts and at Population Level: The Effects of Treatment . . . . 1294--1314 J. H. Jackson and C. R. MacCluer Hyperbolic Saturation . . . . . . . . . 1315--1322
Timothy J. Larkin and Philip W. Kuchel Mathematical Models of Naturally ``Morphed'' Human Erythrocytes: Stomatocytes and Echinocytes . . . . . . 1323--1333 Brian P. Yurk and James A. Powell Modeling the Effects of Developmental Variation on Insect Phenology . . . . . 1334--1360 Samik Datta and Gustav W. Delius and Richard Law A Jump-Growth Model for Predator--Prey Dynamics: Derivation and Application to Marine Ecosystems . . . . . . . . . . . 1361--1382 A. M. Middleton and J. R. King and M. J. Bennett and M. R. Owen Mathematical Modelling of the Aux/IAA Negative Feedback Loop . . . . . . . . . 1383--1407 Paul E. Hand and Charles S. Peskin Homogenization of an Electrophysiological Model for a Strand of Cardiac Myocytes with Gap-Junctional and Electric-Field Coupling . . . . . . 1408--1424 Abdul Salam Jarrah and Reinhard Laubenbacher and Alan Veliz-Cuba The Dynamics of Conjunctive and Disjunctive Boolean Network Models . . . 1425--1447 Anne Shiu and Bernd Sturmfels Siphons in Chemical Reaction Networks 1448--1463 Rebecca J. Shipley and S. Jonathan Chapman Multiscale Modelling of Fluid and Drug Transport in Vascular Tumours . . . . . 1464--1491 Michael Y. Li and Hongying Shu Global Dynamics of an In-host Viral Model with Intracellular Delay . . . . . 1492--1505 Joseph H. Tien and David J. D. Earn Multiple Transmission Pathways and Disease Dynamics in a Waterborne Pathogen Model . . . . . . . . . . . . . 1506--1533 Anna Ougrinovskaia and Rosemary S. Thompson and Mary R. Myerscough An ODE Model of Early Stages of Atherosclerosis: Mechanisms of the Inflammatory Response . . . . . . . . . 1534--1561 Guo-Wei Wei Differential Geometry Based Multiscale Models . . . . . . . . . . . . . . . . . 1562--1622
Yeon-Jung Seo and Shiliang Chen and Marit Nilsen-Hamilton and Howard A. Levine A Mathematical Analysis of Multiple-Target SELEX . . . . . . . . . 1623--1665 Alan J. Terry and Stephen A. Gourley Perverse Consequences of Infrequently Culling a Pest . . . . . . . . . . . . . 1666--1695 Martin Bock and Amit Kumar Tyagi and Jan-Ulrich Kreft and Wolfgang Alt Generalized Voronoi Tessellation as a Model of Two-dimensional Cell Tissue Dynamics . . . . . . . . . . . . . . . . 1696--1731 Marie Doumic-Jauffret and Peter S. Kim and Beno\^\it Perthame Stability Analysis of a Simplified Yet Complete Model for Chronic Myelogenous Leukemia . . . . . . . . . . . . . . . . 1732--1759 Louxin Zhang and Jian Shen and Jialiang Yang and Guoliang Li Analyzing the Fitch Method for Reconstructing Ancestral States on Ultrametric Phylogenetic Trees . . . . . 1760--1782 Leo van Iersel and Charles Semple and Mike Steel Quantifying the Extent of Lateral Gene Transfer Required to Avert a `Genome of Eden' . . . . . . . . . . . . . . . . . 1783--1798 Nicholas S. Luke and Michael J. DeVito and Imran Shah and Hisham A. El-Masri Development of a Quantitative Model of Pregnane X Receptor (PXR) Mediated Xenobiotic Metabolizing Enzyme Induction 1799--1819 Fabio Pardi and Sylvain Guillemot and Olivier Gascuel Robustness of Phylogenetic Inference Based on Minimum Evolution . . . . . . . 1820--1839 Jay M. Newby and Paul C. Bressloff Quasi-steady State Reduction of Molecular Motor-Based Models of Directed Intermittent Search . . . . . . . . . . 1840--1866 Jennifer A. Flegg and Helen M. Byrne and D. L. Sean McElwain Mathematical Model of Hyperbaric Oxygen Therapy Applied to Chronic Diabetic Wounds . . . . . . . . . . . . . . . . . 1867--1891 Dongmei Xiao and William H. Bossert An Intra-Host Mathematical Model on Interaction Between HIV and Malaria . . 1892--1911 A. V. Melkikh and D. S. Bessarab Model of Active Transport of Ions Through Diatom Cell Biomembrane . . . . 1912--1924
Sarah D. Olson and Susan S. Suarez and Lisa J. Fauci A Model of CatSper Channel Mediated Calcium Dynamics in Mammalian Spermatozoa . . . . . . . . . . . . . . 1925--1946 David F. Anderson and Gheorghe Craciun and Thomas G. Kurtz Product-Form Stationary Distributions for Deficiency Zero Chemical Reaction Networks . . . . . . . . . . . . . . . . 1947--1970 Robert M. Seymour and Gwenan Knight and Tak Fung Conditions for Global Dynamic Stability of a Class of Resource-Bounded Model Ecosystems . . . . . . . . . . . . . . . 1971--2003 Rachael L. Miller Neilan and Elsa Schaefer and Holly Gaff and K. Renee Fister and Suzanne Lenhart Modeling Optimal Intervention Strategies for Cholera . . . . . . . . . . . . . . 2004--2018 Rajasekhar Ramakrishnan and Janak D. Ramakrishnan A State Space Transformation Can Yield Identifiable Models for Tracer Kinetic Studies with Enrichment Data . . . . . . 2019--2046 Sandip Ghosal and Zhen Chen Nonlinear Waves in Capillary Electrophoresis . . . . . . . . . . . . 2047--2066 József Z. Farkas and Peter Hinow Structured and Unstructured Continuous Models for \bionameWolbachia Infections 2067--2088 Yasmine Samia and Frithjof Lutscher Coexistence and Spread of Competitors in Heterogeneous Landscapes . . . . . . . . 2089--2112 Sapna Nundloll and Ludovic Mailleret and Frédéric Grognard Influence of Intrapredatory Interferences on Impulsive Biological Control Efficiency . . . . . . . . . . . 2113--2138 S. Seirin Lee and E. A. Gaffney and N. A. M. Monk The Influence of Gene Expression Time Delays on Gierer--Meinhardt Pattern Formation Systems . . . . . . . . . . . 2139--2160 S. Seirin Lee and E. A. Gaffney Aberrant Behaviours of Reaction Diffusion Self-organisation Models on Growing Domains in the Presence of Gene Expression Time Delays . . . . . . . . . 2161--2179 Nicolas Bacaër and Carel Pretorius and Bertran Auvert An Age-Structured Model for the Potential Impact of Generalized Access to Antiretrovirals on the South African HIV Epidemic . . . . . . . . . . . . . . 2180--2198
Philip K. Maini Editorial . . . . . . . . . . . . . . . 1--1 Raluca Eftimie and Jonathan L. Bramson and David J. D. Earn Interactions Between the Immune System and Cancer: A Brief Review of Non-spatial Mathematical Models . . . . 2--32 H. K. Alexander and L. M. Wahl Self-tolerance and Autoimmunity in a Regulatory T Cell Model . . . . . . . . 33--71 R. D. Simitev and V. N. Biktashev Asymptotics of Conduction Velocity Restitution in Models of Electrical Excitation in the Heart . . . . . . . . 72--115 H. T. Banks and Karyn L. Sutton and W. Clayton Thompson and Gennady Bocharov and Dirk Roose and Tim Schenkel and Andreas Meyerhans Estimation of Cell Proliferation Dynamics Using CFSE Data . . . . . . . . 116--150 Fabio Musso A Stochastic Version of the Eigen Model 151--180 Sara Jabbari and John T. Heap and John R. King Mathematical Modelling of the Sporulation-Initiation Network in \bionameBacillus subtilis Revealing the Dual Role of the Putative Quorum-Sensing Signal Molecule PhrA . . . . . . . . . . 181--211 N. G. Cogan and C. W. Wolgemuth Two-Dimensional Patterns in Bacterial Veils Arise from Self-generated, Three-Dimensional Fluid Flows . . . . . 212--229 Raibatak Das and Robert B. Nachbar and Leah Edelstein-Keshet and Jeffrey S. Saltzman and Matthew C. Wiener and Ansuman Bagchi and James Bailey and Daniel Coombs and Adam J. Simon and Richard J. Hargreaves and Jacquelynn J. Cook Modeling Effect of a $ \gamma $-Secretase Inhibitor on Amyloid-$ \beta $ Dynamics Reveals Significant Role of an Amyloid Clearance Mechanism . . . . . 230--247 Simone Bianco and Leah B. Shaw Asymmetry in the Presence of Migration Stabilizes Multistrain Disease Outbreaks 248--260
Peter beim Graben and James Wright From McCulloch--Pitts Neurons Toward Biology . . . . . . . . . . . . . . . . 261--265 Valentin Afraimovich and Todd Young and Mehmet K. Muezzino\uglu and Mikhail I. Rabinovich Nonlinear Dynamics of Emotion-Cognition Interaction: When Emotion Does not Destroy Cognition? . . . . . . . . . . . 266--284 Andreas Galka and Kin Foon Kevin Wong and Tohru Ozaki and Hiltrud Muhle and Ulrich Stephani and Michael Siniatchkin Decomposition of Neurological Multivariate Time Series by State Space Modelling . . . . . . . . . . . . . . . 285--324 Viktor K. Jirsa and Roxana A. Stefanescu Neural Population Modes Capture Biologically Realistic Large Scale Network Dynamics . . . . . . . . . . . . 325--343 Jim W. Kay and W. A. Phillips Coherent Infomax as a Computational Goal for Neural Systems . . . . . . . . . . . 344--372 Eduardo Mizraji and Juan Lin Logic in a Dynamic Brain . . . . . . . . 373--397 Moira L. Steyn-Ross and D. A. Steyn-Ross and J. W. Sleigh and M. T. Wilson A Mechanism for Ultra-Slow Oscillations in the Cortical Default Network . . . . 398--416 Minoru Tsukada and Yasuhiro Fukushima A Context-Sensitive Mechanism in Hippocampal CA1 Networks . . . . . . . . 417--435 J. J. Wright Attractor Dynamics and Thermodynamic Analogies in the Cerebral Cortex: Synchronous Oscillation, the Background EEG, and the Regulation of Attention . . 436--457 J. J. Wright Erratum to: Attractor Dynamics and Thermodynamic Analogies in the Cerebral Cortex: Synchronous Oscillation, the Background EEG, and the Regulation of Attention . . . . . . . . . . . . . . . 458--458
Xiaohui Xie The Site-Frequency Spectrum of Linked Sites . . . . . . . . . . . . . . . . . 459--494 Eric Forgoston and Simone Bianco and Leah B. Shaw and Ira B. Schwartz Maximal Sensitive Dependence and the Optimal Path to Epidemic Extinction . . 495--514 O. Sharomi and C. N. Podder and A. B. Gumel and S. M. Mahmud and E. Rubinstein Modelling the Transmission Dynamics and Control of the Novel 2009 Swine Influenza (H1N1) Pandemic . . . . . . . 515--548 Allen A. Katouli and Natalia L. Komarova The Worst Drug Rule Revisited: Mathematical Modeling of Cyclic Cancer Treatments . . . . . . . . . . . . . . . 549--584 Rachel Roe-Dale and David Isaacson and Michael Kupferschmid A Mathematical Model of Breast Cancer Treatment with CMF and Doxorubicin . . . 585--608 Max O. Souza and Jorge P. Zubelli Global Stability for a Class of Virus Models with Cytotoxic T Lymphocyte Immune Response and Antigenic Variation 609--625 M. Wilhelm and M. Chhetri and J. Rychtá\vr and O. Rueppell A Game Theoretical Analysis of the Mating Sign Behavior in the Honey Bee 626--638 Farida Chamchod and Nicholas F. Britton Analysis of a Vector-Bias Model on Malaria Transmission . . . . . . . . . . 639--657 Hasan Coskun and Huseyin Coskun Cell Physician: Reading Cell Motion . . 658--682 M. Broom and J. Rychtá\vr Kleptoparasitic Melees --- Modelling Food Stealing Featuring Contests with Multiple Individuals . . . . . . . . . . 683--699
Reinhard Laubenbacher Algebraic Methods in Mathematical Biology . . . . . . . . . . . . . . . . 701--705 Florian Blöchl and Dominik M. Wittmann and Fabian J. Theis Effective Parameters Determining the Information Flow in Hierarchical Biological Systems . . . . . . . . . . . 706--725 Miklós Bóna and Meera Sitharam and Andrew Vince Enumeration of Viral Capsid Assembly Pathways: Tree Orbits Under Permutation Group Action . . . . . . . . . . . . . . 726--753 Valerie Hower and Christine E. Heitsch Parametric Analysis of RNA Branching Configurations . . . . . . . . . . . . . 754--776 Chris McCaig and Mike Begon and Rachel Norman and Carron Shankland A Symbolic Investigation of Superspreaders . . . . . . . . . . . . . 777--794 Anna-Sapfo Malaspinas and Nicholas Eriksson and Peter Huggins Parametric Analysis of Alignment and Phylogenetic Uncertainty . . . . . . . . 795--810 Alicia Dickenstein and Mercedes Pérez Millán How Far is Complex Balancing from Detailed Balancing? . . . . . . . . . . 811--828 Raazesh Sainudiin and Kevin Thornton and Jennifer Harlow and James Booth and Michael Stillman and Ruriko Yoshida and Robert Griffiths and Gil McVean and Peter Donnelly Experiments with the Site Frequency Spectrum . . . . . . . . . . . . . . . . 829--872 Heike Siebert Analysis of Discrete Bioregulatory Networks Using Symbolic Steady States 873--898 Andreas Weber and Thomas Sturm and Essam O. Abdel-Rahman Algorithmic Global Criteria for Excluding Oscillations . . . . . . . . . 899--916
Ezio Venturino Simple Metaecoepidemic Models . . . . . 917--950 G. Pfuhl and H. Tjelmeland and R. Biegler Precision and Reliability in Animal Navigation . . . . . . . . . . . . . . . 951--977 Fabian J. Theis and Sebastian Bohl and Ursula Klingmüller Theoretical Analysis of Time-to-Peak Responses in Biological Reaction Networks . . . . . . . . . . . . . . . . 978--1003 Asbjorn Christensen and Ken Haste Andersen General Classification of Maturation Reaction-Norm Shape from Size-based Processes . . . . . . . . . . . . . . . 1004--1027 Geoff Wild Inclusive Fitness from Multitype Branching Processes . . . . . . . . . . 1028--1051 C. A. Cobbold and J. A. Powell Evolution Stabilises the Synchronising Dynamics of Poikilotherm Life Cycles . . 1052--1081 Dana Paquin and Peter S. Kim and Peter P. Lee and Doron Levy Strategic Treatment Interruptions During Imatinib Treatment of Chronic Myelogenous Leukemia . . . . . . . . . . 1082--1100 Orit Lavi and Eyal Klement and Yoram Louzoun Effect of Vaccination in Environmentally Induced Diseases . . . . . . . . . . . . 1101--1117 Faustino Sánchez-Garduño and Víctor F. Breña-Medina Searching for Spatial Patterns in a Pollinator--Plant--Herbivore Mathematical Model . . . . . . . . . . . 1118--1153 Andy Hoyle and Roger G. Bowers and Andy White Evolutionary Behaviour, Trade-Offs and Cyclic and Chaotic Population Dynamics 1154--1169
E. Aydemir and C. J. W. Breward and T. P. Witelski The Effect of Polar Lipids on Tear Film Dynamics . . . . . . . . . . . . . . . . 1171--1201 María Angélica Cueto and Frederick A. Matsen Polyhedral Geometry of Phylogenetic Rogue Taxa . . . . . . . . . . . . . . . 1202--1226 Lee Altenberg An Evolutionary Reduction Principle for Mutation Rates at Multiple Loci . . . . 1227--1270 Donald A. Drew and Gretchen A. Koch and Shannon Hitchcock and Jill Kowalski and Ronak Talati and Vera Valakh A Mathematical Model for Timing the Release from Sequestration and the Resultant Brownian Migration of SeqA Clusters in \bionameE. coli . . . . . . 1271--1291 Wondimu Teka and Krasimira Tsaneva-Atanasova and Richard Bertram and Joël Tabak From Plateau to Pseudo-Plateau Bursting: Making the Transition . . . . . . . . . 1292--1311 Hanna T. M. Eskola and Stefan A. H. Geritz and Mats Gyllenberg On the Evolution of the Timing of Reproduction with Non-equilibrium Resident Dynamics . . . . . . . . . . . 1312--1332 C. P. Bhunu and S. Mushayabasa and J. M. Tchuenche A Theoretical Assessment of the Effects of Smoking on the Transmission Dynamics of Tuberculosis . . . . . . . . . . . . 1333--1357 Eliezer Gurarie and Daniel Grünbaum and Michael T. Nishizaki Estimating $3$D Movements from $2$D Observations Using a Continuous Model of Helical Swimming . . . . . . . . . . . . 1358--1377 Eduardo González-Olivares and Alejandro Rojas-Palma Multiple Limit Cycles in a Gause Type Predator--Prey Model with Holling Type III Functional Response and Allee Effect on Prey . . . . . . . . . . . . . . . . 1378--1397 Juanjuan Chai and Elizabeth Ann Housworth On the Number of Binary Characters Needed to Recover a Phylogeny Using Maximum Parsimony . . . . . . . . . . . 1398--1411
Christopher M. Kribs-Zaleta and Jean-François Jusot and Philippe Vanhems and Sandrine Charles Modeling Nosocomial Transmission of Rotavirus in Pediatric Wards . . . . . . 1413--1442 Marco V. José and Eberto R. Morgado and Tzipe Govezensky Genetic Hotels for the Standard Genetic Code: Evolutionary Analysis Based upon Novel Three-Dimensional Algebraic Models 1443--1476 Gilles Didier Parametric Maximum Parsimonious Reconstruction on Trees . . . . . . . . 1477--1502 David Schley and John Ward and Zhidong Zhang Modelling Foot-and-Mouth Disease Virus Dynamics in Oral Epithelium to Help Identify the Determinants of Lysis . . . 1503--1528 J. M. Bloomfield and K. J. Painter and J. A. Sherratt How Does Cellular Contact Affect Differentiation Mediated Pattern Formation? . . . . . . . . . . . . . . . 1529--1558 Bernd Gotzen and Volkmar Liebscher and Sebastian Walcher On a Class of Deterministic Population Models with Stochastic Foundation . . . 1559--1582 Franziska Hinkelmann and David Murrugarra and Abdul Salam Jarrah and Reinhard Laubenbacher A Mathematical Framework for Agent Based Models of Complex Biological Networks 1583--1602 J. C. Dallon and Brittany Dalton and Chelsea Malani Understanding Streaming in \bionameDictyostelium discoideum: Theory Versus Experiments . . . . . . . . . . . 1603--1626 Elchanan Mossel and Sébastien Roch and Allan Sly On the Inference of Large Phylogenies with Long Branches: How Long Is Too Long? . . . . . . . . . . . . . . . . . 1627--1644 Peter S. Kim and Peter P. Lee and Doron Levy A Theory of Immunodominance and Adaptive Regulation . . . . . . . . . . . . . . . 1645--1665 M. Björklund and E. Ranta and V. Kaitala and L. A. Bach and P. Lundberg Environmental Fluctuations and Level of Density-Compensation Strongly Affects the Probability of Fixation and Fixation Times . . . . . . . . . . . . . . . . . 1666--1681 Huaxiong Huang and Jonathan J. Wylie and Robert M. Miura Restricted Diffusion in Cellular Media: $ (1 + 1)$-Dimensional Model . . . . . . 1682--1694
Chuan Xue and Hyung Ju Hwang and Kevin J. Painter and Radek Erban Travelling Waves in Hyperbolic Chemotaxis Equations . . . . . . . . . . 1695--1733 Maria Pia Saccomani An Effective Automatic Procedure for Testing Parameter Identifiability of HIV/AIDS Models . . . . . . . . . . . . 1734--1753 Giao T. Huynh and Frederick R. Adler Alternating Host Cell Tropism Shapes the Persistence, Evolution and Coexistence of Epstein--Barr Virus Infections in Human . . . . . . . . . . . . . . . . . 1754--1773 Michael Y. Li and Hongying Shu Multiple Stable Periodic Oscillations in a Mathematical Model of CTL Response to HTLV-I Infection . . . . . . . . . . . . 1774--1793 Rongsong Liu and Carlos Martinez del Rio and Jianhong Wu Spatiotemporal Variation of Mistletoes: a Dynamic Modeling Approach . . . . . . 1794--1811 Luiz Alberto Díaz Rodrigues and Diomar Cristina Mistro and Sergei Petrovskii Pattern Formation, Long-Term Transients, and the Turing--Hopf Bifurcation in a Space- and Time-Discrete Predator--Prey System . . . . . . . . . . . . . . . . . 1812--1840 Themistoklis Sapsis and Jifeng Peng and George Haller Instabilities on Prey Dynamics in Jellyfish Feeding . . . . . . . . . . . 1841--1856 J. M. Davis and C. Pozrikidis Numerical Simulation of Unsteady Blood Flow through Capillary Networks . . . . 1857--1880 Edgar Delgado-Eckert and Samuel Ojosnegros and Niko Beerenwinkel The Evolution of Virulence in RNA Viruses under a Competition-Colonization Trade-Off . . . . . . . . . . . . . . . 1881--1908 Robert M. Goor and Lisa Forman Neall and Douglas Hoffman and Stephen T. Sherry A Mathematical Approach to the Analysis of Multiplex DNA Profiles . . . . . . . 1909--1931 Iddo Ben-Ari and Khalid Boushaba and Anastasios Matzavinos and Alexander Roitershtein Stochastic Analysis of the Motion of DNA Nanomechanical Bipeds . . . . . . . . . 1932--1951 S. Murat Sen and E. Zerrin Bagci and Mehmet C. Camurdan Bistability Analysis of an Apoptosis Model in the Presence of Nitric Oxide 1952--1968
Meng Liu and Ke Wang and Qiong Wu Survival Analysis of Stochastic Competitive Models in a Polluted Environment and Stochastic Competitive Exclusion Principle . . . . . . . . . . 1969--2012 Alexander N. Gorban and Lyudmila I. Pokidysheva and Elena V. Smirnova and Tatiana A. Tyukina Law of the Minimum Paradoxes . . . . . . 2013--2044 Dino G. Salinas and Juan G. Reyes and Milton De La Fuente Lipid Metabolizing Enzyme Activities Modulated by Phospholipid Substrate Lateral Distribution . . . . . . . . . . 2045--2067 Christian Hilbe Local Replicator Dynamics: a Simple Link Between Deterministic and Stochastic Models of Evolutionary Game Theory . . . 2068--2087 Martha J. Garlick and James A. Powell and Mevin B. Hooten and Leslie R. McFarlane Homogenization of Large-Scale Movement Models in Ecology . . . . . . . . . . . 2088--2108 Max R. Bennett and Les Farnell and William G. Gibson A Model of NMDA Receptor Control of F-actin Treadmilling in Synaptic Spines and Their Growth . . . . . . . . . . . . 2109--2131 Jay L. Michaels and Vincent Naudot and Larry S. Liebovitch Dynamic Stabilization in the PU1-GATA1 Circuit Using a Model with Time-Dependent Kinetic Change . . . . . 2132--2151 Mark F. Schumaker and David M. Kramer Comparison of Monte Carlo Simulations of Cytochrome b$_6$ f with Experiment Using Latin Hypercube Sampling . . . . . . . . 2152--2174 Andrea Schnepf and Davey Jones and Tiina Roose Modelling Nutrient Uptake by Individual Hyphae of Arbuscular Mycorrhizal Fungi: Temporal and Spatial Scales for an Experimental Design . . . . . . . . . . 2175--2200 Reed A. Cartwright Bards, Poets, and Cliques: Frequency-Dependent Selection and the Evolution of Language Genes . . . . . . 2201--2212 Isaac Klapper and Barbara Szomolay An Exclusion Principle and the Importance of Mobility for a Class of Biofilm Models . . . . . . . . . . . . . 2213--2230 Jacek Mi\kekisz and Jan Poleszczuk and Marek Bodnar and Urszula Fory\'s Stochastic Models of Gene Expression with Delayed Degradation . . . . . . . . 2231--2247
P. D. N. Srinivasu and B. S. R. V. Prasad Role of Quantity of Additional Food to Predators as a Control in Predator--Prey Systems with Relevance to Pest Management and Biological Conservation 2249--2276 Maya Mincheva Oscillations in Biochemical Reaction Networks Arising from Pairs of Subnetworks . . . . . . . . . . . . . . 2277--2304 Viggo Andreasen The Final Size of an Epidemic and Its Relation to the Basic Reproduction Number . . . . . . . . . . . . . . . . . 2305--2321 Stephen J. Willson Restricted Trees: Simplifying Networks with Bottlenecks . . . . . . . . . . . . 2322--2338 Sharon Bewick and Jing Wu and Scott C. Lenaghan and Ruoting Yang and Mingjun Zhang and William Hamel The R5 to X4 Coreceptor Switch: a Dead-End Path, or a Strategic Maneuver? 2339--2356 Don A. Jones and Hal L. Smith Bacteriophage and Bacteria in a Flow Reactor . . . . . . . . . . . . . . . . 2357--2383 Yijun Lou and Xiao-Qiang Zhao Modelling Malaria Control by Introduction of Larvivorous Fish . . . . 2384--2407 Taesoo Jang and Hee-Dae Kwon and Jeehyun Lee Free Terminal Time Optimal Control Problem of an HIV Model Based on a Conjugate Gradient Method . . . . . . . 2408--2429 M. Aubert and M. A. J. Chaplain and S. R. McDougall and A. Devlin and C. A. Mitchell A Continuum Mathematical Model of the Developing Murine Retinal Vasculature 2430--2451 Arjun Krishnan and Bogdan I. Epureanu Renewal-Reward Process Formulation of Motor Protein Dynamics . . . . . . . . . 2452--2482 Manoj Gopalakrishnan and Bindu S. Govindan A First-Passage-Time Theory for Search and Capture of Chromosomes by Microtubules in Mitosis . . . . . . . . 2483--2506 D. E. Postnov and J. C. Brings Jacobsen and N.-H. Holstein-Rathlou and O. V. Sosnovtseva Functional Modeling of the Shift in Cellular Calcium Dynamics at the Onset of Synchronization in Smooth Muscle Cells . . . . . . . . . . . . . . . . . 2507--2525
S. Seirin Lee and E. A. Gaffney and R. E. Baker The Dynamics of Turing Patterns for Morphogen-Regulated Growing Domains with Cellular Response Delays . . . . . . . . 2527--2551 J. Chaffee and R. Kuske The Effect of Loss of Immunity on Noise-Induced Sustained Oscillations in Epidemics . . . . . . . . . . . . . . . 2552--2574 Lauren M. Childs and Michael Paskow and Sidney M. Morris, Jr. and Matthias Hesse and Steven Strogatz From Inflammation to Wound Healing: Using a Simple Model to Understand the Functional Versatility of Murine Macrophages . . . . . . . . . . . . . . 2575--2604 Kalle Parvinen Adaptive Dynamics of Altruistic Cooperation in a Metapopulation: Evolutionary Emergence of Cooperators and Defectors or Evolutionary Suicide? 2605--2626 David C. Haws and Terrell L. Hodge and Ruriko Yoshida Optimality of the Neighbor Joining Algorithm and Faces of the Balanced Minimum Evolution Polytope . . . . . . . 2627--2648 T. Lemaire and E. Capiez-Lernout and J. Kaiser and S. Naili and E. Rohan and V. Sansalone A Multiscale Theoretical Investigation of Electric Measurements in Living Bone 2649--2677 Moritz Lang and Tatiana T. Marquez-Lago and Jörg Stelling and Steffen Waldherr Autonomous Synchronization of Chemically Coupled Synthetic Oscillators . . . . . 2678--2706 S. M. Moore and C. A. Manore and V. A. Bokil and E. T. Borer and P. R. Hosseini Spatiotemporal Model of Barley and Cereal Yellow Dwarf Virus Transmission Dynamics with Seasonality and Plant Competition . . . . . . . . . . . . . . 2707--2730 Roberto C. Sotero and Yasser Iturria-Medina From Blood Oxygenation Level Dependent (BOLD) Signals to Brain Temperature Maps 2731--2747 Chad R. Wells and Jean M. Tchuenche and Lauren Ancel Meyers and Alison P. Galvani and Chris T. Bauch Impact of Imitation Processes on the Effectiveness of Ring Vaccination . . . 2748--2772 Wei Yao and Huaxiong Huang and Robert M. Miura A Continuum Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression . . . . . . . . . . 2773--2790 Jeremy J. Thibodeaux and Timothy P. Schlittenhardt Optimal Treatment Strategies for Malaria Infection . . . . . . . . . . . . . . . 2791--2808
Atilla Sit and Zhijun Wu Solving a Generalized Distance Geometry Problem for Protein Structure Determination . . . . . . . . . . . . . 2809--2836 Yanthe E. Pearson and Emilio Castronovo and Tara A. Lindsley and Donald A. Drew Mathematical Modeling of Axonal Formation. Part I: Geometry . . . . . . 2837--2864 Amina Eladdadi and David Isaacson A Mathematical Model for the Effects of HER2 Over-Expression on Cell Cycle Progression in Breast Cancer . . . . . . 2865--2887 S. D. Hove-Musekwa and F. Nyabadza and H. Mambili-Mamboundou Modelling Hospitalization, Home-Based Care, and Individual Withdrawal for People Living with HIV/AIDS in High Prevalence Settings . . . . . . . . . . 2888--2915 Rosângela P. Sanches and Claudia P. Ferreira and Roberto A. Kraenkel The Role of Immunity and Seasonality in Cholera Epidemics . . . . . . . . . . . 2916--2931 Raluca Eftimie and Jonathan Dushoff and Byram W. Bridle and Jonathan L. Bramson and David J. D. Earn Multi-Stability and Multi-Instability Phenomena in a Mathematical Model of Tumor--Immune-Virus Interactions . . . . 2932--2961 Manoj Gopalkrishnan Catalysis in Reaction Networks . . . . . 2962--2982 Ivana Drobnjak and A. C. Fowler A Model of Oscillatory Blood Cell Counts in Chronic Myelogenous Leukaemia . . . . 2983--3007 Michael Y. Li and Aaron G. Lim Modelling the Role of Tax Expression in HTLV-I Persistence in vivo . . . . . . . 3008--3029 Guang Hu and Ze Wang and Wen-Yuan Qiu Topological Analysis of Enzymatic Actions on DNA Polyhedral Links . . . . 3030--3046 David E. Hiebeler and Isaac J. Michaud and Hamilton Hoxie Ackerman and Shannon Reed Iosevich and Andre Robinson Multigeneration Reproduction Ratios and the Effects of Clustered Unvaccinated Individuals on Epidemic Outbreak . . . . 3047--3070 Paul E. Hand and Boyce E. Griffith Empirical Study of an Adaptive Multiscale Model for Simulating Cardiac Conduction . . . . . . . . . . . . . . . 3071--3089
Y. Kang and N. Lanchier The Role of Space in the Exploitation of Resources . . . . . . . . . . . . . . . 1--44 Elisenda Feliu and Michael Knudsen and Lars N. Andersen and Carsten Wiuf An Algebraic Approach to Signaling Cascades with $n$ Layers . . . . . . . . 45--72 Yeonok Lee and Hulin Wu MARS Approach for Global Sensitivity Analysis of Differential Equation Models with Applications to Dynamics of Influenza Infection . . . . . . . . . . 73--90 Amanda Galante and Koji Tamada and Doron Levy B7--H1 and a Mathematical Model for Cytotoxic T Cell and Tumor Cell Interaction . . . . . . . . . . . . . . 91--102 Fabio Musso On the Relation Between the Eigen Model and the Asexual Wright--Fisher Model . . 103--115 Aboudramane Guiro and Abderrahman Iggidr and Di\`ene Ngom On the Stock Estimation for a Harvested Fish Population . . . . . . . . . . . . 116--142 Charles D. Maggio and Scott R. Jennings and Jennifer L. Robichaux and Peter C. Stapor and James M. Hyman A Modified Hai--Murphy Model of Uterine Smooth Muscle Contraction . . . . . . . 143--158 Rachel Roe-Dale and David Isaacson and Michael Kupferschmid A Mathematical Model of Cell Cycle Effects in Gastric Cancer Chemotherapy 159--174 William Floyd and Leslie Kay and Michael Shapiro A Covering--Graph Approach to Epidemics on SIS and SIS-Like Networks . . . . . . 175--189 Flor A. Espinoza and Janet M. Oliver and Bridget S. Wilson and Stanly L. Steinberg Using Hierarchical Clustering and Dendrograms to Quantify the Clustering of Membrane Proteins . . . . . . . . . . 190--211 John A. Rhodes and Seth Sullivant Identifiability of Large Phylogenetic Mixture Models . . . . . . . . . . . . . 212--231 Stephen O'Malley and Martin A. Bees The Orientation of Swimming Biflagellates in Shear Flows . . . . . . 232--255
Richard Gejji and Yuan Lou and Daniel Munther and Justin Peyton Evolutionary Convergence to Ideal Free Dispersal Strategies and Coexistence . . 257--299 Hongyu Miao and Xia Jin and Alan S. Perelson and Hulin Wu Evaluation of Multitype Mathematical Models for CFSE-Labeling Experiment Data 300--326 Lai Zhang and Zhigui Lin and Michael Pedersen Effects of Growth Curve Plasticity on Size-Structured Population Dynamics . . 327--345 Zhen Chen and Sandip Ghosal Electromigration Dispersion in Capillary Electrophoresis . . . . . . . . . . . . 346--355 W. P. Kelly and M. P. H. Stumpf Assessing Coverage of Protein Interaction Data Using Capture--Recapture Models . . . . . . . 356--374 Qiwen Sun and Moxun Tang and Jianshe Yu Temporal Profile of Gene Transcription Noise Modulated by Cross-Talking Signal Transduction Pathways . . . . . . . . . 375--398 Drew Fudenberg and Lorens A. Imhof Phenotype Switching and Mutations in Random Environments . . . . . . . . . . 399--421 Lori Layne and Elena Dimitrova and Matthew Macauley Nested Canalyzing Depth and Network Stability . . . . . . . . . . . . . . . 422--433 Wen-Yong Hu and Wei-Rong Zhong and Feng-Hua Wang and Li Li and Yuan-Zhi Shao In Silico Synergism and Antagonism of an Anti-tumour System Intervened by Coupling Immunotherapy and Chemotherapy: a Mathematical Modelling Approach . . . 434--452 Jimmy Garnier and Lionel Roques and François Hamel Success rate of a biological invasion in terms of the spatial distribution of the founding population . . . . . . . . . . 453--473 Benjamin J. Binder and Kerry A. Landman and Donald F. Newgreen and Johanna E. Simkin and Yoshiko Takahashi and Dongcheng Zhang Spatial Analysis of Multi-species Exclusion Processes: Application to Neural Crest Cell Migration in the Embryonic Gut . . . . . . . . . . . . . 474--490 Suzanne L. Robertson and J. M. Cushing and R. F. Costantino Life Stages: Interactions and Spatial Patterns . . . . . . . . . . . . . . . . 491--508
Sivan Leviyang Sampling HIV Intrahost Genealogies Based on a Model of Acute Stage CTL Response 509--535 Jennifer M. Miller and Allison Kolpas and Joao Plinio Juchem Neto and Louis F. Rossi A Continuum Three-Zone Model for Swarms 536--561 Cameron J. Browne and Sergei S. Pilyugin Periodic Multidrug Therapy in a Within-Host Virus Model . . . . . . . . 562--589 Carina Curto and Anda Degeratu and Vladimir Itskov Flexible Memory Networks . . . . . . . . 590--614 William S. C. Gurney and Philip J. Bacon and Douglas C. Speirs and Philip McGinnity and Eric Verspoor Sea-Age Variation in Maiden Atlantic Salmon Spawners: Phenotypic Plasticity or Genetic Polymorphism? . . . . . . . . 615--640 Azmy S. Ackleh and Jacoby Carter and Keng Deng and Qihua Huang and Nabendu Pal and Xing Yang Fitting a Structured Juvenile--Adult Model for Green Tree Frogs to Population Estimates from Capture--Mark--Recapture Field Data . . . . . . . . . . . . . . . 641--665 Tilmann Glimm and Jianying Zhang and Yun-Qiu Shen and Stuart A. Newman Reaction--Diffusion Systems and External Morphogen Gradients: The Two-Dimensional Case, with an Application to Skeletal Pattern Formation . . . . . . . . . . . 666--687 Jason N. Bazil and Gregory T. Buzzard and Ann E. Rundell A Global Parallel Model Based Design of Experiments Method to Minimize Model Output Uncertainty . . . . . . . . . . . 688--716 Max R. Bennett and Les Farnell and William G. Gibson A Model of Neuregulin Control of NMDA Receptors on Synaptic Spines . . . . . . 717--735 Kate Simms and Nigel Bean and Adrian Koerber A Mathematical Model of Cell Cycle Progression Applied to the MCF-7 Breast Cancer Cell Line . . . . . . . . . . . . 736--767
R. E. Lee DeVille and Charles S. Peskin Synchrony and Asynchrony for Neuronal Dynamics Defined on Complex Networks . . 769--802 Bonni J. Kealy and David J. Wollkind A Nonlinear Stability Analysis of Vegetative Turing Pattern Formation for an Interaction--Diffusion Plant--Surface Water Model System in an Arid Flat Environment . . . . . . . . . . . . . . 803--833 Brian V. Merkey and David L. Chopp The Performance of a Microbial Fuel Cell Depends Strongly on Anode Geometry: a Multidimensional Modeling Study . . . . 834--857 J. G. Sumner and B. R. Holland and P. D. Jarvis The Algebra of the General Markov Model on Phylogenetic Trees and Networks . . . 858--880 Joshua H. Smith and Kathleen A. Starkweather and José Jaime García Implications of Transvascular Fluid Exchange in Nonlinear, Biphasic Analyses of Flow-Controlled Infusion in Brain . . 881--907 Rafael Peña-Miller and David Lähnemann and Hinrich Schulenburg and Martin Ackermann and Robert Beardmore Selecting Against Antibiotic-Resistant Pathogens: Optimal Treatments in the Presence of Commensal Bacteria . . . . . 908--934 Václav Klika and Ruth E. Baker and Denis Headon and Eamonn A. Gaffney The Influence of Receptor--Mediated Interactions on Reaction--Diffusion Mechanisms of Cellular Self-organisation 935--957 Sunmi Lee and Michael Golinski and Gerardo Chowell Modeling Optimal Age-Specific Vaccination Strategies Against Pandemic Influenza . . . . . . . . . . . . . . . 958--980 Angela Cheer and Samson Cheung and Tien-Chieh Hung and Raul H. Piedrahita and S. Laurie Sanderson Computational Fluid Dynamics of Fish Gill Rakers During Crossflow Filtration 981--1000 Alma Ma\vsi\'c and Hermann J. Eberl Persistence in a Single Species CSTR Model with Suspended Flocs and Wall Attached Biofilms . . . . . . . . . . . 1001--1026
Mercedes Pérez Millán and Alicia Dickenstein and Anne Shiu and Carsten Conradi Chemical Reaction Systems with Toric Steady States . . . . . . . . . . . . . 1027--1065 John Hughes and William O. Hancock and John Fricks Kinesins with Extended Neck Linkers: a Chemomechanical Model for Variable-Length Stepping . . . . . . . . 1066--1097 Nakul Chitnis and Diggory Hardy and Thomas Smith A Periodically-Forced Mathematical Model for the Seasonal Dynamics of Malaria in Mosquitoes . . . . . . . . . . . . . . . 1098--1124 Berta Mendoza-Juez and Alicia Martínez-González and Gabriel F. Calvo and Víctor M. Pérez-García A Mathematical Model for the Glucose--Lactate Metabolism of in Vitro Cancer Cells . . . . . . . . . . . . . . 1125--1142 Kelly E. Murphy and Cameron L. Hall and Philip K. Maini and Scott W. McCue and D. L. Sean McElwain A Fibrocontractive Mechanochemical Model of Dermal Wound Closure Incorporating Realistic Growth Factor Kinetics . . . . 1143--1170 L. J. Cummings and R. Perez-Castillejos and E. T. Mack Analysis of Biochemical Equilibria Relevant to the Immune Response: Finding the Dissociation Constants . . . . . . . 1171--1206 Jianjun Paul Tian and Zhigang Jin and Ting Xie Mathematical Model for Two Germline Stem Cells Competing for Niche Occupancy . . 1207--1225 Juan Zhang and Zhen Jin and Gui-Quan Sun and Xiang-Dong Sun and Shigui Ruan Modeling Seasonal Rabies Epidemics in China . . . . . . . . . . . . . . . . . 1226--1251
Marco Scianna A Multiscale Hybrid Model for Pro-angiogenic Calcium Signals in a Vascular Endothelial Cell . . . . . . . 1253--1291 Sara Jabbari and John R. King and Paul Williams Cross-Strain Quorum Sensing Inhibition by \bionameStaphylococcus aureus. Part 1: a Spatially Homogeneous Model . . . . 1292--1325 Sara Jabbari and John R. King and Paul Williams Cross-Strain Quorum Sensing Inhibition by \bionameStaphylococcus aureus. Part 2: a Spatially Inhomogeneous Model . . . 1326--1353 Arild Wikan Age or Stage Structure? . . . . . . . . 1354--1378 Cristian Tomasetti On the Probability of Random Genetic Mutations for Various Types of Tumor Growth . . . . . . . . . . . . . . . . . 1379--1395 Suren Jayasuriya and Zachary P. Kilpatrick Effects of Time-Dependent Stimuli in a Competitive Neural Network Model of Perceptual Rivalry . . . . . . . . . . . 1396--1426 Tianyu Zhang Modeling of Biocide Action Against Biofilm . . . . . . . . . . . . . . . . 1427--1447 Kohkichi Kawasaki and Keisuke Asano and Nanako Shigesada Impact of Directed Movement on Invasive Spread in Periodic Patchy Environments 1448--1467
Yuanyuan Huang and Zhijun Wu Game Dynamic Model for Yeast Development 1469--1484 Shelby Wilson and Doron Levy A Mathematical Model of the Enhancement of Tumor Vaccine Efficacy by Immunotherapy . . . . . . . . . . . . . 1485--1500 Istvan Z. Kiss and Péter L. Simon New Moment Closures Based on A Priori Distributions with Applications to Epidemic Dynamics . . . . . . . . . . . 1501--1515 James D. Benson and Carmen C. Chicone and John K. Critser Analytical Optimal Controls for the State Constrained Addition and Removal of Cryoprotective Agents . . . . . . . . 1516--1530 Marc Sturrock and Alan J. Terry and Dimitris P. Xirodimas and Alastair M. Thompson and Mark A. J. Chaplain Influence of the Nuclear Membrane, Active Transport, and Cell Shape on the Hes1 and p53--Mdm2 Pathways: Insights from Spatio-temporal Modelling . . . . . 1531--1579 Masahiro Anazawa Interspecific Competition Models Derived from Competition Among Individuals . . . 1580--1605 Kevin L. S. Drury and David M. Lodge Combining Perturbations and Parameter Variation to Influence Mean First Passage Times . . . . . . . . . . . . . 1606--1628 Yasmine Samia and Frithjof Lutscher Persistence Probabilities for Stream Populations . . . . . . . . . . . . . . 1629--1650 Jonathan Forde and Joseph M. Volpe and Stanca M. Ciupe Latently Infected Cell Activation: a Way to Reduce the Size of the HIV Reservoir? 1651--1672 Karen A. Yokley Sensory Irritation Response in Rats II: Recovery and Dose-Dependence . . . . . . 1673--1690
M. C. J. Bootsma and M. A. van der Horst and T. Guryeva and B. H. ter Kuile and O. Diekmann Modeling Non-inherited Antibiotic Resistance . . . . . . . . . . . . . . . 1691--1705 Tomá\vs Gedeon and Graham Cummins and Jeffrey J. Heys Effect of Model Selection on Prediction of Periodic Behavior in Gene Regulatory Networks . . . . . . . . . . . . . . . . 1706--1726 J. Hu and K. R. Qin and C. Xiang and T. H. Lee Modeling of Hysteresis in Gene Regulatory Networks . . . . . . . . . . 1727--1753 Ryan A. Chisholm and Simon A. Levin Linking Dispersal and Immigration in Multidimensional Environments . . . . . 1754--1763 Sophie L\`ebre and Christian J. Michel An Evolution Model for Sequence Length Based on Residue Insertion--Deletion Independent of Substitution: an Application to the GC Content in Bacterial Genomes . . . . . . . . . . . 1764--1788 Libin Rong and Ruy M. Ribeiro and Alan S. Perelson Modeling Quasispecies and Drug Resistance in Hepatitis C Patients Treated with a Protease Inhibitor . . . 1789--1817 Sivan Leviyang The Coalescence of Intrahost HIV Lineages Under Symmetric CTL Attack . . 1818--1856 Flor A. Espinoza and Michael J. Wester and Janet M. Oliver and Bridget S. Wilson and Nicholas L. Andrews and Diane S. Lidke and Stanly L. Steinberg Insights into Cell Membrane Microdomain Organization from Live Cell Single Particle Tracking of the IgE High Affinity Receptor Fc$ \epsilon $RI of Mast Cells . . . . . . . . . . . . . . . 1857--1911 Grace P. S. Kwong and Rob Deardon Linearized Forms of Individual-Level Models for Large-Scale Spatial Infectious Disease Systems . . . . . . . 1912--1937 Grzegorz A. Rempala Least Squares Estimation in Stochastic Biochemical Networks . . . . . . . . . . 1938--1955
Joaquin Zabalo Permanence in an Intraguild Predation Model with Prey Switching . . . . . . . 1957--1984 Zoë Ward and Jane White Impact of Latently Infected Cells on Strain Archiving Within HIV Hosts . . . 1985--2003 M. W. Adamson and A. Y. Morozov Revising the Role of Species Mobility in Maintaining Biodiversity in Communities with Cyclic Competition . . . . . . . . 2004--2031 Laurie Crossley and Caroline A. Garrett and Majid Hafezparast and Anotida Madzvamuse From the Cell Membrane to the Nucleus: Unearthing Transport Mechanisms for Dynein . . . . . . . . . . . . . . . . . 2032--2061 V. S. Zubkov and C. J. W. Breward and E. A. Gaffney Coupling Fluid and Solute Dynamics Within the Ocular Surface Tear Film: a Modelling Study of Black Line Osmolarity 2062--2093 N. J. Malunguza and S. D. Hove-Musekwa and G. Musuka and Z. Mukandavire Investigating Alcohol Consumption as a Risk Factor for HIV Transmission in Heterosexual Settings in Sub-Saharan African Communities . . . . . . . . . . 2094--2124 Joel C. Miller A Note on the Derivation of Epidemic Final Sizes . . . . . . . . . . . . . . 2125--2141 Yuanshi Wang and Donald L. DeAngelis and J. Nathaniel Holland Uni-directional Interaction and Plant--Pollinator--Robber Coexistence 2142--2164 Rebecca A. Segal and Robert F. Diegelmann and Kevin R. Ward and Angela Reynolds A Differential Equation Model of Collagen Accumulation in a Healing Wound 2165--2182 Peter Rashkov and Bernhard A. Schmitt and Lotte Sògaard-Andersen and Peter Lenz and Stephan Dahlke A Model of Oscillatory Protein Dynamics in Bacteria . . . . . . . . . . . . . . 2183--2203 A. A. Al-Shammari and E. A. Gaffney and S. Egginton Re-evaluating the Use of Voronoi Tessellations in the Assessment of Oxygen Supply from Capillaries in Muscle 2204--2231 James A. Powell and Brynja R. Kohler and James W. Haefner and Janice Bodily Carrying BioMath Education in a Leaky Bucket . . . . . . . . . . . . . . . . . 2232--2264
Hans Meinhardt No Oscillations in Real Activator--Inhibitor Systems in Accomplishing Pattern Formation . . . . 2265--2267 Eamonn A. Gaffney and Nick A. M. Monk and Ruth E. Baker and S. Seirin Lee Reply to Correspondence: No Oscillations in Real Activator--Inhibitor Systems in Accomplishing Pattern Formation . . . . 2268--2271 S. R. McDougall and M. G. Watson and A. H. Devlin and C. A. Mitchell and M. A. J. Chaplain A Hybrid Discrete--Continuum Mathematical Model of Pattern Prediction in the Developing Retinal Vasculature 2272--2314 Stuart Nattrass and Stephen Baigent and David J. Murrell Quantifying the Likelihood of Co-existence for Communities with Asymmetric Competition . . . . . . . . . 2315--2338 Xiangrong Xin and Hans G. Othmer A ``Trimer of Dimers''-Based Model for the Chemotactic Signal Transduction Network in Bacterial Chemotaxis . . . . 2339--2382 Mark A. Lewis and Bingtuan Li Spreading Speed, Traveling Waves, and Minimal Domain Size in Impulsive Reaction--Diffusion Models . . . . . . . 2383--2402 Yanni Xiao and Xiaxia Xu and Sanyi Tang Sliding Mode Control of Outbreaks of Emerging Infectious Diseases . . . . . . 2403--2422 Zhisheng Shuai and Joseph H. Tien and P. van den Driessche Cholera Models with Hyperinfectivity and Temporary Immunity . . . . . . . . . . . 2423--2445 Yongfeng Li and Scott C. Lenaghan and Mingjun Zhang Nonlinear Dynamics of the Movement of the Venus Flytrap . . . . . . . . . . . 2446--2473 Menachem Lachiany and Lewi Stone A Vaccination Model for a Multi-City System . . . . . . . . . . . . . . . . . 2474--2487 Konstantin B. Blyuss and Yuliya N. Kyrychko Symmetry Breaking in a Model of Antigenic Variation with Immune Delay 2488--2509 Liene Daukste and Britta Basse and Bruce C. Baguley and David J. N. Wall Mathematical Determination of Cell Population Doubling Times for Multiple Cell Lines . . . . . . . . . . . . . . . 2510--2534
Evangelos Bakalis and Marios Kosmas and Emmanouel M. Papamichael Perturbation Theory in the Catalytic Rate Constant of the Henri--Michaelis--Menten Enzymatic Reaction . . . . . . . . . . . . . . . . 2535--2546 Christina L. Hamlet and Laura A. Miller Feeding Currents of the Upside Down Jellyfish in the Presence of Background Flow . . . . . . . . . . . . . . . . . . 2547--2569 Georg R. Walther and Athanasius F. M. Marée and Leah Edelstein-Keshet and Verônica A. Grieneisen Deterministic Versus Stochastic Cell Polarisation Through Wave-Pinning . . . 2570--2599 R. C. Fetecau and A. Guo A Mathematical Model for Flight Guidance in Honeybee Swarms . . . . . . . . . . . 2600--2621 Kalle Parvinen and Anne Seppänen and John D. Nagy Evolution of Complex Density-Dependent Dispersal Strategies . . . . . . . . . . 2622--2649 Benjamin Allen and Daniel I. Scholes Rosenbloom Mutation Rate Evolution in Replicator Dynamics . . . . . . . . . . . . . . . . 2650--2675 József Garay and Tamás F. Móri Monogamy Has a Fixation Advantage Based on Fitness Variance in an Ideal Promiscuity Group . . . . . . . . . . . 2676--2691 J. Hasenauer and D. Schittler and F. Allgöwer Analysis and Simulation of Division- and Label-Structured Population Models . . . 2692--2732 Samira Akbari and Naveen K. Vaidya and Lindi M. Wahl The Time Distribution of Sulfadoxine--Pyrimethamine Protection from Malaria . . . . . . . . . . . . . . 2733--2751 Duan Chen and Julie M. Roda and Clay B. Marsh and Timothy D. Eubank and Avner Friedman Hypoxia Inducible Factors-Mediated Inhibition of Cancer by GM--CSF: a Mathematical Model . . . . . . . . . . . 2752--2777
Alan Veliz-Cuba and Joseph Arthur and Laura Hochstetler and Victoria Klomps and Erikka Korpi On the Relationship of Steady States of Continuous and Discrete Models Arising from Biology . . . . . . . . . . . . . . 2779--2792 Robin N. Thompson and Christian A. Yates and Ruth E. Baker Modelling Cell Migration and Adhesion During Development . . . . . . . . . . . 2793--2809 Subhra Bhattacharya and Frederick R. Adler A Time Since Recovery Model with Varying Rates of Loss of Immunity . . . . . . . 2810--2819 D. D. Postnov and D. E. Postnov and D. J. Marsh and N.-H. Holstein-Rathlou and O. V. Sosnovtseva Dynamics of Nephron--Vascular Network 2820--2841 M. Bodin and Å. Brännström and U. Dieckmann A Systematic Overview of Harvesting-Induced Maturation Evolution in Predator--Prey Systems with Three Different Life-History Tradeoffs . . . . 2842--2860 Aditya P. Singh and Erik Andries and Jeremy S. Edwards and Stanly Steinberg The Shuttling Scaffold Model for Prevention of Yeast Pheromone Pathway Misactivation . . . . . . . . . . . . . 2861--2874 Alicia Martínez-González and Gabriel F. Calvo and Luis A. Pérez Romasanta and Víctor M. Pérez-García Hypoxic Cell Waves Around Necrotic Cores in Glioblastoma: a Biomathematical Model and Its Therapeutic Implications . . . . 2875--2896 Yi Wei and Alexei A. Koulakov An Exactly Solvable Model of Random Site-Specific Recombinations . . . . . . 2897--2916 Isaac Klapper Productivity and Equilibrium in Simple Biofilm Models . . . . . . . . . . . . . 2917--2934 Olga Vasilyeva and Frithjof Lutscher How Flow Speed Alters Competitive Outcome in Advective Environments . . . 2935--2958
Xinzhu Meng and Niklas L. P. Lundström and Mats Bodin and Åke Brännström Dynamics and Management of Stage-Structured Fish Stocks . . . . . . 1--23 Farai Nyabadza and John B. H. Njagarah and Robert J. Smith Modelling the Dynamics of Crystal Meth (`Tik') Abuse in the Presence of Drug-Supply Chains in South Africa . . . 24--48 Charles Heppell and Giles Richardson and Tiina Roose A Model for Fluid Drainage by the Lymphatic System . . . . . . . . . . . . 49--81 Marcos Amaku and Francisco Antonio Bezerra Coutinho and Eleazar Chaib and Eduardo Massad The Impact of Hepatitis A Virus Infection on Hepatitis C Virus Infection: a Competitive Exclusion Hypothesis . . . . . . . . . . . . . . . 82--93 N. G. Cogan and Barbara Szomolay and Martin Dindos Effect of Periodic Disinfection on Persisters in a One-Dimensional Biofilm Model . . . . . . . . . . . . . . . . . 94--123 Jun-Koo Park and Robert Jernigan and Zhijun Wu Coarse Grained Normal Mode Analysis vs. Refined Gaussian Network Model for Protein Residue-Level Structural Fluctuations . . . . . . . . . . . . . . 124--160 Thomas Hillen and Heiko Enderling and Philip Hahnfeldt The Tumor Growth Paradox and Immune System-Mediated Selection for Cancer Stem Cells . . . . . . . . . . . . . . . 161--184 Cliburn Chan and Matthew Billard and Samuel A. Ramirez and Harald Schmidl and Eric Monson and Thomas B. Kepler A Model for Migratory B Cell Oscillations from Receptor Down-Regulation Induced by External Chemokine Fields . . . . . . . . . . . . 185--205 Juan Zhang and Zhen Jin and Gui-Quan Sun and Xiang-Dong Sun and Shigui Ruan Erratum to: Modeling Seasonal Rabies Epidemics in China . . . . . . . . . . . 206--211
Sa Xiao and Liang Zhao and Jia-Lin Zhang and Xiang-Tai Wang and Shu-Yan Chen Comparing Neutral and Trade-off Community Models in Shaping the Community Biomass--Diversity Relationship Under Different Disturbance Levels . . . . . . . . . . . . . . . . . 213--222 Brad Weir and Robert N. Miller and Yvette H. Spitz Implicit Estimation of Ecological Model Parameters . . . . . . . . . . . . . . . 223--257 Lud\vek Berec and Daniel Maxin Fatal or Harmless: Extreme Bistability Induced by Sterilizing, Sexually Transmitted Pathogens . . . . . . . . . 258--273 Gaiping Zhao and Wentao Yan and Eryun Chen and Xiaoli Yu and Wenjie Cai Numerical Simulation of the Inhibitory Effect of Angiostatin on Metastatic Tumor Angiogenesis and Microenvironment 274--287 Rachele Allena Cell Migration with Multiple Pseudopodia: Temporal and Spatial Sensing Models . . . . . . . . . . . . . 288--316 Jacek Mi\kekisz and Paulina Szyma\'nska Gene Expression in Self-repressing System with Multiple Gene Copies . . . . 317--330 Ashish Saini and Jingyu Hou Progressive Clustering Based Method for Protein Function Prediction . . . . . . 331--350 Pavol Bokes and John R. King and Andrew T. A. Wood and Matthew Loose Transcriptional Bursting Diversifies the Behaviour of a Toggle Switch: Hybrid Simulation of Stochastic Gene Expression 351--371
A. Zakharova and Z. Nikoloski and A. Koseska Dimensionality Reduction of Bistable Biological Systems . . . . . . . . . . . 373--392 J. V. Pohlmeyer and S. L. Waters and L. J. Cummings Mathematical Model of Growth Factor Driven Haptotaxis and Proliferation in a Tissue Engineering Scaffold . . . . . . 393--427 James Hadfield and Michael J. Plank and Tim David Modeling Secondary Messenger Pathways in Neurovascular Coupling . . . . . . . . . 428--443 Katharina T. Huber and Andrei-Alin Popescu Lassoing and Corralling Rooted Phylogenetic Trees . . . . . . . . . . . 444--465 Prapanporn Rattana and Konstantin B. Blyuss and Ken T. D. Eames and Istvan Z. Kiss A Class of Pairwise Models for Epidemic Dynamics on Weighted Networks . . . . . 466--490 Courtney L. Davis and Frederick R. Adler Mathematical Models of Memory CD8$^+$ T-Cell Repertoire Dynamics in Response to Viral Infections . . . . . . . . . . 491--522 Daozhou Gao and Chris Cosner and Robert Stephen Cantrell and John C. Beier and Shigui Ruan Modeling the Spatial Spread of Rift Valley Fever in Egypt . . . . . . . . . 523--542 Zhen Wang and Xiao-Qiang Zhao A Within-Host Virus Model with Periodic Multidrug Therapy . . . . . . . . . . . 543--563
Irina Kareva and Benjamin Morin and Georgy Karev Preventing the Tragedy of the Commons Through Punishment of Over-Consumers and Encouragement of Under-Consumers . . . . 565--588 Robert A. Gatenby and B. Roy Frieden The Critical Roles of Information and Nonequilibrium Thermodynamics in Evolution of Living Systems . . . . . . 589--601 Fernando Antoneli and Francisco Bosco and Diogo Castro and Luiz Mario Janini Virus Replication as a Phenotypic Version of Polynucleotide Evolution . . 602--628 Grégory Dumont and Jacques Henry Synchronization of an Excitatory Integrate-and-Fire Neural Network . . . 629--648 Yuqin Zhao and Dobromir T. Dimitrov and Hao Liu and Yang Kuang Mathematical Insights in Evaluating State Dependent Effectiveness of HIV Prevention Interventions . . . . . . . . 649--675 Yasmine Tawfik and Robert G. Owens A Mathematical and Numerical Investigation of the Hemodynamical Origins of Oscillations in Microvascular Networks . . . . . . . . . . . . . . . . 676--707
Torbjörn Lundh and Philip Gerlee Cross-Feeding Dynamics Described by a Series Expansion of the Replicator Equation . . . . . . . . . . . . . . . . 709--724 Youping Yang and Yanni Xiao and Jianhong Wu Pulse HIV Vaccination: Feasibility for Virus Eradication and Optimal Vaccination Schedule . . . . . . . . . . 725--751 Ashley E. Raba and Jonathan M. Cordeiro and Charles Antzelevitch and Jacques Beaumont Extending the Conditions of Application of an Inversion of the Hodgkin--Huxley Gating Model . . . . . . . . . . . . . . 752--773 O. Stancevic and C. N. Angstmann and J. M. Murray and B. I. Henry Turing Patterns from Dynamics of Early HIV Infection . . . . . . . . . . . . . 774--795 Harriet Hughes and N. F. Britton Modelling the Use of \bionameWolbachia to Control Dengue Fever Transmission . . 796--818 Matan Bodaker and Yoram Louzoun and Eduardo Mitrani Mathematical Conditions for Induced Cell Differentiation and Trans-differentiation in Adult Cells . . 819--844 Eunjoo Cho and Yong-Jung Kim Starvation Driven Diffusion as a Survival Strategy of Biological Organisms . . . . . . . . . . . . . . . 845--870 Matthew J. Simpson and Benjamin J. Binder and Parvathi Haridas and Benjamin K. Wood and Katrina K. Treloar and D. L. Sean McElwain and Ruth E. Baker Experimental and Modelling Investigation of Monolayer Development with Clustering 871--889
Claudine Chaouiya and Elisabeth Remy Logical Modelling of Regulatory Networks, Methods and Applications . . . 891--895 R. Thomas Remarks on the Respective Roles of Logical Parameters and Time Delays in Asynchronous Logic: an Homage to El Houssine Snoussi . . . . . . . . . . . . 896--904 R. Thomas Erratum to: Remarks on the Respective Roles of Logical Parameters and Time Delays in Asynchronous Logic: an Homage to El Houssine Snoussi . . . . . . . . . 905--905 Jean-Paul Comet and Mathilde Noual and Adrien Richard and Julio Aracena and Laurence Calzone and Jacques Demongeot and Marcelle Kaufman and Aurélien Naldi and El Houssine Snoussi and Denis Thieffry On Circuit Functionality in Boolean Networks . . . . . . . . . . . . . . . . 906--919 Therese Lorenz and Heike Siebert and Alexander Bockmayr Analysis and Characterization of Asynchronous State Transition Graphs Using Extremal States . . . . . . . . . 920--938 Eric Goles and Marco Montalva and Gonzalo A. Ruz Deconstruction and Dynamical Robustness of Regulatory Networks: Application to the Yeast Cell Cycle Networks . . . . . 939--966 Madalena Chaves and Etienne Farcot and Jean-Luc Gouzé Probabilistic Approach for Predicting Periodic Orbits in Piecewise Affine Differential Models . . . . . . . . . . 967--987 Alex Madrahimov and Tomá\vs Helikar and Bryan Kowal and Guoqing Lu and Jim Rogers Dynamics of Influenza Virus and Human Host Interactions During Infection and Replication Cycle . . . . . . . . . . . 988--1011 Luis Mendoza A Virtual Culture of CD4+ T Lymphocytes 1012--1029
J. R. Artalejo and M. J. Lopez-Herrero On the Exact Measure of Disease Spread in Stochastic Epidemic Models . . . . . 1031--1050 Britnee A. Crawford and Christopher M. Kribs-Zaleta and Gaik Ambartsoumian Invasion Speed in Cellular Automaton Models for \bionameT. cruzi Vector Migration . . . . . . . . . . . . . . . 1051--1081 Ignacio Gallo Population Genetics of Gene Function . . 1082--1103 Mohammad A. Safi and Dessalegn Y. Melesse and Abba B. Gumel Dynamics Analysis of a Multi-strain Cholera Model with an Imperfect Vaccine 1104--1137 Yuanshi Wang and Hong Wu Invasibility of Nectarless Flowers in Plant--Pollinator Systems . . . . . . . 1138--1156 Glenn E. Lahodny, Jr. and Linda J. S. Allen Probability of a Disease Outbreak in Stochastic Multipatch Epidemic Models 1157--1180 Heiko Hamann and Istvan Karsai and Thomas Schmickl Time Delay Implies Cost on Task Switching: a Model to Investigate the Efficiency of Task Partitioning . . . . 1181--1206 Sze-Bi Hsu and Chiu-Ju Lin and Chih-Hao Hsieh and Kohei Yoshiyama Dynamics of Phytoplankton Communities Under Photoinhibition . . . . . . . . . 1207--1232
Mark Alber and Philip K. Maini and Glen Niebur Biomedical Modeling: The Role of Transport and Mechanics . . . . . . . . 1233--1237 Mark S. Thompson Tendon Mechanobiology: Experimental Models Require Mathematical Underpinning 1238--1254 Karin Leiderman and Aaron L. Fogelson The Influence of Hindered Transport on the Development of Platelet Thrombi Under Flow . . . . . . . . . . . . . . . 1255--1283 P. P. Weafer and W. Ronan and S. P. Jarvis and J. P. McGarry Experimental and Computational Investigation of the Role of Stress Fiber Contractility in the Resistance of Osteoblasts to Compression . . . . . . . 1284--1303 Yangjin Kim and Hans G. Othmer A Hybrid Model of Tumor--Stromal Interactions in Breast Cancer . . . . . 1304--1350 Sergio Alonso and Markus Bär and Alexander V. Panfilov Negative Tension of Scroll Wave Filaments and Turbulence in Three-Dimensional Excitable Media and Application in Cardiac Dynamics . . . . 1351--1376 Josephine T. Daub and Roeland M. H. Merks A Cell-Based Model of Extracellular-Matrix-Guided Endothelial Cell Migration During Angiogenesis . . . 1377--1399 Yasir Suhail and Kshitiz and Justin Lee and Mark Walker and Deok-Ho Kim and Matthew D. Brennan and Joel S. Bader and Andre Levchenko Modeling Intercellular Transfer of Biomolecules Through Tunneling Nanotubes 1400--1416
Wing-Cheong Lo and Razvan I. Arsenescu and Avner Friedman Mathematical Model of the Roles of T Cells in Inflammatory Bowel Disease . . 1417--1433 Lester F. Caudill, Jr. A Single-Parameter Model of the Immune Response to Bacterial Invasion . . . . . 1434--1449 Eric Forgoston and Ira B. Schwartz Predicting Unobserved Exposures from Seasonal Epidemic Data . . . . . . . . . 1450--1471 A. Lamb and G. Evans and J. R. King Mathematical Modelling of Toxicity Associated with Intracellular Chromium Reduction . . . . . . . . . . . . . . . 1472--1500 Matthew H. T. Chan and Peter S. Kim Modelling a \bionameWolbachia Invasion Using a Slow--Fast Dispersal Reaction--Diffusion Approach . . . . . . 1501--1523 V. S. Zubkov and C. J. W. Breward and E. A. Gaffney Meniscal Tear Film Fluid Dynamics Near Marx's Line . . . . . . . . . . . . . . 1524--1543 Carlo Cattani and Gaetano Pierro On the Fractal Geometry of DNA by the Binary Image Analysis . . . . . . . . . 1544--1570 Carina Curto and Vladimir Itskov and Alan Veliz-Cuba and Nora Youngs The Neural Ring: an Algebraic Tool for Analyzing the Intrinsic Structure of Neural Codes . . . . . . . . . . . . . . 1571--1611 James L. Buchanan and Robert Gilbert and Yvonne Ou and Anja Nohe and Rachel Schaefer The Kinetics of Vitamin D$_3$ in the Osteoblastic Cell . . . . . . . . . . . 1612--1635 Alberto Saa and Kellen M. Siqueira Modeling the ATP Production in Mitochondria . . . . . . . . . . . . . . 1636--1651
Raffaele Basile and Ramon Grima and Nikola Popovi\'c A Graph-Based Approach for the Approximate Solution of the Chemical Master Equation . . . . . . . . . . . . 1653--1696 Lin-Fei Nie and Zhi-Dong Teng and Bao-Zhu Guo A State Dependent Pulse Control Strategy for a SIRS Epidemic System . . . . . . . 1697--1715 Nancy Hernandez-Ceron and Zhilan Feng and Carlos Castillo-Chavez Discrete Epidemic Models with Arbitrary Stage Distributions and Applications to Disease Control . . . . . . . . . . . . 1716--1746 James Clarke and K. A. Jane White and Katy Turner Approximating Optimal Controls for Networks when There Are Combinations of Population-Level and Targeted Measures Available: \bionameChlamydia Infection as a Case-Study . . . . . . . . . . . . 1747--1777 S. Strohm and R. C. Tyson and J. A. Powell Pattern Formation in a Model for Mountain Pine Beetle Dispersal: Linking Model Predictions to Data . . . . . . . 1778--1797 H. M. Safuan and H. S. Sidhu and Z. Jovanoski and I. N. Towers Impacts of Biotic Resource Enrichment on a Predator--Prey Population . . . . . . 1798--1812 David Brown Linking Molecular and Population Processes in Mathematical Models of Quorum Sensing . . . . . . . . . . . . . 1813--1839 Stephen J. Willson Reconstruction of Certain Phylogenetic Networks from Their Tree-Average Distances . . . . . . . . . . . . . . . 1840--1878 Peter J. Humphries and Simone Linz and Charles Semple Cherry Picking: a Characterization of the Temporal Hybridization Number for a Set of Phylogenies . . . . . . . . . . . 1879--1890 Shelby Wilson and Doron Levy Functional Switching and Stability of Regulatory T Cells . . . . . . . . . . . 1891--1911 Robert Planqué and Jan Bouwe van den Berg and Nigel R. Franks The Interplay Between Scent Trails and Group-Mass Recruitment Systems in Ants 1912--1940 Xingjiang Chen and Karl Iremonger and Allan Herbison and Vivien Kirk and James Sneyd Regulation of Electrical Bursting in a Spatiotemporal Model of a GnRH Neuron 1941--1960 Timothy C. Reluga Equilibria of an Epidemic Game with Piecewise Linear Social Distancing Cost 1961--1984 H. F. Winstanley and A. C. Fowler Biomat Development in Soil Treatment Units for On-site Wastewater Treatment 1985--2001
Sandra Kluth and Thiemo Hustedt and Ellen Baake The Common Ancestor Process Revisited 2003--2027 Katharina Holstein and Dietrich Flockerzi and Carsten Conradi Multistationarity in Sequential Distributed Multisite Phosphorylation Networks . . . . . . . . . . . . . . . . 2028--2058 Andrew M. Bate and Frank M. Hilker Complex Dynamics in an Eco-epidemiological Model . . . . . . . 2059--2078 Ingemar Nåsell The Influence of Immunity Loss on Persistence and Recurrence of Endemic Infections . . . . . . . . . . . . . . . 2079--2092 Samuel A. Isaacson and Carolyn A. Larabell and Mark A. Le Gros and David M. McQueen and Charles S. Peskin The Influence of Spatial Variation in Chromatin Density Determined by X-Ray Tomograms on the Time to Find DNA Binding Sites . . . . . . . . . . . . . 2093--2117 Inomzhon Mirzaev and Jeremy Gunawardena Laplacian Dynamics on General Graphs . . 2118--2149 Michael J. Plank and Matthew J. Simpson Lattice-Free Models of Cell Invasion: Discrete Simulations and Travelling Waves . . . . . . . . . . . . . . . . . 2150--2166 Juhua Liang and Sanyi Tang and Robert A. Cheke and Jianhong Wu Adaptive Release of Natural Enemies in a Pest--Natural Enemy System with Pesticide Resistance . . . . . . . . . . 2167--2195 C. Finn McQuaid and Nicholas F. Britton Trophic Structure, Stability, and Parasite Persistence Threshold in Food Webs . . . . . . . . . . . . . . . . . . 2196--2207 Roxana A. Stefanescu and R. G. Shivakeshavan and Pramod P. Khargonekar and Sachin S. Talathi Computational Modeling of Channelrhodopsin-2 Photocurrent Characteristics in Relation to Neural Signaling . . . . . . . . . . . . . . . 2208--2240 Alex Best The Effects of Seasonal Forcing on Invertebrate-Disease Interactions with Immune Priming . . . . . . . . . . . . . 2241--2256 Dann G. Mallet and Masoumeh Bagher-Oskouei and A. Charisse Farr and Daniel P. Simpson and Kelly-Jean Sutton A Mathematical Model of Chlamydial Infection Incorporating Movement of Chlamydial Particles . . . . . . . . . . 2257--2270 Markus Daub An Appropriate Bounded Invariant Region for a Bistable Reaction--Diffusion Model of the Caspase--3/8 Feedback Loop . . . 2271--2288 Sylvain Soliman A Stronger Necessary Condition for the Multistationarity of Chemical Reaction Networks . . . . . . . . . . . . . . . . 2289--2303
Yosef Cohen and Gonzalo Galiano Evolutionary Distributions and Competition by Way of Reaction--Diffusion and by Way of Convolution . . . . . . . . . . . . . . 2305--2323 Timothy A. Lucas and Garrett Johns and Wancen Jiang and Lucie Yang A Population Model of Chaparral Vegetation Response to Frequent Wildfires . . . . . . . . . . . . . . . 2324--2345 Wayne Nagata and Hamid R. Z. Zangeneh and David M. Holloway Reaction--diffusion Patterns in Plant Tip Morphogenesis: Bifurcations on Spherical Caps . . . . . . . . . . . . . 2346--2371 C. Finn McQuaid and Nicholas F. Britton Network Dynamics Contribute to Structure: Nestedness in Mutualistic Networks . . . . . . . . . . . . . . . . 2372--2388 Ana Yun and Soon-Hyuck Lee and Junseok Kim A Phase-Field Model for Articular Cartilage Regeneration in Degradable Scaffolds . . . . . . . . . . . . . . . 2389--2409 Peter Clote and Evangelos Kranakis and Danny Krizanc Asymptotic Number of Hairpins of Saturated RNA Secondary Structures . . . 2410--2430 Gregory Vey Gene Coexpression as Hebbian Learning in Prokaryotic Genomes . . . . . . . . . . 2431--2449 J. V. Pohlmeyer and L. J. Cummings Cyclic Loading of Growing Tissue in a Bioreactor: Mathematical Model and Asymptotic Analysis . . . . . . . . . . 2450--2473 Yong-Jung Kim and Ohsang Kwon and Fang Li Evolution of Dispersal Toward Fitness 2474--2498 Sandip Mandal and Somdatta Sinha and Ram Rup Sarkar A Realistic Host--Vector Transmission Model for Describing Malaria Prevalence Pattern . . . . . . . . . . . . . . . . 2499--2528 Alexandre Bouchard-Côté A Note on Probabilistic Models over Strings: The Linear Algebra Approach . . 2529--2550 Ioannis Sgouralis and Anita T. Layton Control and Modulation of Fluid Flow in the Rat Kidney . . . . . . . . . . . . . 2551--2574 R. Allena and D. Aubry and J. Sharpe On the Mechanical Interplay Between Intra- and Inter-Synchronization During Collective Cell Migration: A Numerical Investigation . . . . . . . . . . . . . 2575--2599 Guilherme da Costa Pereira Innocentini and Michael Forger and Alexandre Ferreira Ramos and Ovidiu Radulescu and José Eduardo Martinho Hornos Multimodality and Flexibility of Stochastic Gene Expression . . . . . . . 2600--2630
Jonathan A. Sherratt and Ayawoa S. Dagbovie and Frank M. Hilker A Mathematical Biologist's Guide to Absolute and Convective Instability . . 1--26 Alma Ma\vsi\'c and Hermann J. Eberl A Modeling and Simulation Study of the Role of Suspended Microbial Populations in Nitrification in a Biofilm Reactor 27--58 Rachelle E. Miron and Robert J. Smith Resistance to Protease Inhibitors in a Model of HIV-1 Infection with Impulsive Drug Effects . . . . . . . . . . . . . . 59--97 Avner Friedman and Abdul-Aziz Yakubu A Bovine Babesiosis Model with Dispersion . . . . . . . . . . . . . . . 98--135 Angelean O. Hendrix and Claude L. Hughes and James F. Selgrade Modeling Endocrine Control of the Pituitary--Ovarian Axis: Androgenic Influence and Chaotic Dynamics . . . . . 136--156 William R. Holmes An Efficient, Nonlinear Stability Analysis for Detecting Pattern Formation in Reaction Diffusion Systems . . . . . 157--183 Jürgen Jost and Ying Wang Optimization and Phenotype Allocation 184--200 Wim Hordijk and Peter R. Wills and Mike Steel Autocatalytic Sets and Biological Specificity . . . . . . . . . . . . . . 201--224 Ira Aviram and Avinoam Rabinovitch Bactria and Lytic Phage Coexistence in a Chemostat with Periodic Nutrient Supply 225--244 Junling Ma and Jonathan Dushoff and Benjamin M. Bolker and David J. D. Earn Estimating Initial Epidemic Growth Rates 245--260
King-Yeung Lam and Yuan Lou Evolutionarily Stable and Convergent Stable Strategies in Reaction--Diffusion Models for Conditional Dispersal . . . . 261--291 E. T. Camacho and L. A. Melara and M. C. Villalobos and S. Wirkus Optimal Control in the Treatment of \bionameRetinitis pigmentosa . . . . . . 292--313 Emanuel Salazar-Cavazos and Moisés Santillán Optimal Performance of the \bionameTryptophan operon of \bionameE. coli: a Stochastic, Dynamical, Mathematical-Modeling Approach . . . . . 314--334 Kang-Ling Liao and Yuan Lou The Effect of Time Delay in a Two-Patch Model with Random Dispersal . . . . . . 335--376 Benjamin Franz and Chuan Xue and Kevin J. Painter and Radek Erban Travelling Waves in Hybrid Chemotaxis Models . . . . . . . . . . . . . . . . . 377--400 Katja Roesch and Dirk Hasenclever and Markus Scholz Modelling Lymphoma Therapy and Outcome 401--430 Doug Bruce and Pras Pathmanathan and Jonathan P. Whiteley Modelling the Effect of Gap Junctions on Tissue-Level Cardiac Electrophysiology 431--454 Peter Bratby and John Montgomery and James Sneyd A Biophysical Model of Adaptive Noise Filtering in the Shark Brain . . . . . . 455--475 Shu-Yan Chen and Zi-long Chen and Peng Guo and Chen-Chen Ding and Yu-xin Wang and Xiang-tai Wang and Jia-Lin Zhang and Peng Jia and Gang Wang and Sa Xiao The Roles of Spatial Pattern and Size Variation in Shaping Height Inequality of Plant Population . . . . . . . . . . 476--485 Taina Immonen and Erkki Somersalo and Daniela Calvetti Modeling HIV-1 Dynamics and Fitness in Cell Culture Across Scales . . . . . . . 486--514
Deborah Lacitignola and Giuseppe Saccomandi Parametric Resonance in DNA . . . . . . 515--540 Zhao Lu and Yrjö T. Gröhn and Rebecca L. Smith and Jeffrey S. Karns and Ernest Hovingh and Ynte H. Schukken Stochastic Modeling of Imperfect \bionameSalmonella Vaccines in an Adult Dairy Herd . . . . . . . . . . . . . . . 541--565 S. Payvandi and K. R. Daly and D. L. Jones and P. Talboys and K. C. Zygalakis and T. Roose A Mathematical Model of Water and Nutrient Transport in Xylem Vessels of a Wheat Plant . . . . . . . . . . . . . . 566--596 Vu Dinh and Ann E. Rundell and Gregery T. Buzzard Experimental Design for Dynamics Identification of Cellular Processes . . 597--626 James Greene and Orit Lavi and Michael M. Gottesman and Doron Levy The Impact of Cell Density and Mutations in a Model of Multidrug Resistance in Solid Tumors . . . . . . . . . . . . . . 627--653 José F. Fontanari and Maurizio Serva Effect of Migration in a Diffusion Model for Template Coexistence in Protocells 654--672 Damian Kajunguri and John W. Hargrove and Rachid Ouifki and J. Y. T. Mugisha and Paul G. Coleman and Susan C. Welburn Modelling the Use of Insecticide-Treated Cattle to Control Tsetse and \bionameTrypanosoma brucei rhodesiense in a Multi-host Population . . . . . . . 673--696 Marcos Amaku and Francisco Antonio Bezerra Coutinho and Silvia Martorano Raimundo and Luis Fernandez Lopez and Marcelo Nascimento Burattini and Eduardo Massad A Comparative Analysis of the Relative Efficacy of Vector-Control Strategies Against Dengue Fever . . . . . . . . . . 697--717 Nina Embleton and Natalia Petrovskaya A Novel Approach to Evaluation of Pest Insect Abundance in the Presence of Noise . . . . . . . . . . . . . . . . . 718--743 A. Ghasemi V. and B. Firoozabadi and M. S. Saidi Analytical Solutions of Actin--Retrograde-Flow in a Circular Stationary Cell: a Mechanical Point of View . . . . . . . . . . . . . . . . . . 744--760
Radek Erban and Hans G. Othmer Editorial: Special Issue on Stochastic Modelling of Reaction--Diffusion Processes in Biology . . . . . . . . . . 761--765 Marc Sturrock and Andreas Hellander and Sahar Aldakheel and Linda Petzold and Mark A. J. Chaplain The Role of Dimerisation and Nuclear Transport in the Hes1 Gene Regulatory Network . . . . . . . . . . . . . . . . 766--798 Radek Erban and Mark B. Flegg and Garegin A. Papoian Multiscale Stochastic Reaction--Diffusion Modeling: Application to Actin Dynamics in \bionameFilopodia . . . . . . . . . . . 799--818 Siyang Wang and Johan Elf and Stefan Hellander and Per Lötstedt Stochastic Reaction--Diffusion Processes with Embedded Lower-Dimensional Structures . . . . . . . . . . . . . . . 819--853 Jifeng Hu and Hye-Won Kang and Hans G. Othmer Stochastic Analysis of Reaction--Diffusion Processes . . . . . 854--894 Alan J. McKane and Tommaso Biancalani and Tim Rogers Stochastic Pattern Formation and Spontaneous Polarisation: The Linear Noise Approximation and Beyond . . . . . 895--921 I. C. Agbanusi and S. A. Isaacson A Comparison of Bimolecular Reaction Models for Stochastic Reaction--Diffusion Systems . . . . . . 922--946 Maria Bruna and S. Jonathan Chapman Diffusion of Finite-Size Particles in Confined Geometries . . . . . . . . . . 947--982 Maria Bruna and S. Jonathan Chapman Erratum to: Diffusion of Finite-Size Particles in Confined Geometries . . . . 983--983
Tom Britton and Pieter Trapman Stochastic Epidemics in Growing Populations . . . . . . . . . . . . . . 985--996 Maica Krizna A. Gavina and Jomar F. Rabajante and Cleofas R. Cervancia Mathematical Programming Models for Determining the Optimal Location of Beehives . . . . . . . . . . . . . . . . 997--1016 J. C. L. Alfonso and G. Buttazzo and B. García-Archilla and M. A. Herrero and L. Núñez Selecting Radiotherapy Dose Distributions by Means of Constrained Optimization Problems . . . . . . . . . 1017--1044 Seongwon Lee and Hyung Ju Hwang and Yangjin Kim Modeling the Role of TGF-$ \beta $ in Regulation of the Th17 Phenotype in the LPS-Driven Immune System . . . . . . . . 1045--1080 Matthew D. Johnston Translated Chemical Reaction Networks 1081--1116 Anna Cohen and Mary R. Myerscough and Rosemary S. Thompson Athero-protective Effects of High Density Lipoproteins (HDL): an ODE Model of the Early Stages of Atherosclerosis 1117--1142 Lindsay Keegan and Jonathan Dushoff Analytic Calculation of Finite-Population Reproductive Numbers for Direct- and Vector-Transmitted Diseases with Homogeneous Mixing . . . . 1143--1154 Arnaud Tonnelier Cyclic Negative Feedback Systems: What is the Chance of Oscillation? . . . . . 1155--1193 Chunhua Shan and Xiaonong Zhou and Huaiping Zhu The Dynamics of Growing Islets and Transmission of \bionameSchistosomiasis japonica in the Yangtze River . . . . . 1194--1217 M. W. Adamson and A. Yu. Morozov Bifurcation Analysis of Models with Uncertain Function Specification: How Should We Proceed? . . . . . . . . . . . 1218--1240
Qi Qi and Jonathan A. D. Wattis and Helen M. Byrne Stochastic Simulations of Normal Aging and Werner's Syndrome . . . . . . . . . 1241--1269 Simon L. Goede and Melvin Khee-Shing Leow and Jan W. A. Smit and Harald H. Klein and Johannes W. Dietrich Hypothalamus--Pituitary--Thyroid Feedback Control: Implications of Mathematical Modeling and Consequences for Thyrotropin (TSH) and Free Thyroxine (FT4) Reference Ranges . . . . . . . . . 1270--1287 Renato Francisco Lopes Mello and César Castilho A Structured Discrete Model for Dengue Fever Infections and the Determination of $ R_0 $ from Age-Stratified Serological Data . . . . . . . . . . . . 1288--1305 Aurelio A. de los Reyes V. and Eunok Jung and Franz Kappel Stabilizing Control for a Pulsatile Cardiovascular Mathematical Model . . . 1306--1332 Kansuporn Sriyudthsak and Michio Iwata and Masami Yokota Hirai and Fumihide Shiraishi PENDISC: a Simple Method for Constructing a Mathematical Model from Time-Series Data of Metabolite Concentrations . . . . . . . . . . . . . 1333--1351 R. Leander and A. Friedman Modulation of the cAMP Response by $ G \alpha_i $ and $ G \beta \gamma $: a Computational Study of $G$ Protein Signaling in Immune Cells . . . . . . . 1352--1375 Matthew P. Edgington and Marcus J. Tindall Fold-Change Detection in a Whole-Pathway Model of \bionameEscherichia coli chemotaxis . . . . . . . . . . . . . . . 1376--1395 Yuanshi Wang and Hong Wu A Cooperative System of Two Species with Bidirectional Interactions . . . . . . . 1396--1415 Wei-Shen Li and Yuan-Zhi Shao The Scaling and Shift of Morphogen Gene Expression Boundary in a Nonlinear Reaction Diffusion System . . . . . . . 1416--1428 Brian V. Merkey and David L. Chopp Modeling the Impact of Interspecies Competition on Performance of a Microbial Fuel Cell . . . . . . . . . . 1429--1453
Yeon-Jung Seo and Marit Nilsen-Hamilton and Howard A. Levine A Computational Study of Alternate SELEX 1455--1521 Yu Jin and Frank M. Hilker and Peter M. Steffler and Mark A. Lewis Seasonal Invasion Dynamics in a Spatially Heterogeneous River with Fluctuating Flows . . . . . . . . . . . 1522--1565 Sunhwa Choi and Eunok Jung Optimal Tuberculosis Prevention and Control Strategy from a Mathematical Model Based on Real Data . . . . . . . . 1566--1589 Anastasios Matzavinos and Blerta Shtylla and Zachary Voller and Sijia Liu and Mark A. J. Chaplain Stochastic Modelling of Chromosomal Segregation: Errors Can Introduce Correction . . . . . . . . . . . . . . . 1590--1606 F. B. Agusto Malaria Drug Resistance: The Impact of Human Movement and Spatial Heterogeneity 1607--1641 Przemys\law Rafa\l Pa\'zdziorek Mathematical Model of Stem Cell Differentiation and Tissue Regeneration with Stochastic Noise . . . . . . . . . 1642--1669 Aliya A. Alsaleh and Abba B. Gumel Analysis of Risk-Structured Vaccination Model for the Dynamics of Oncogenic and Warts-Causing HPV Types . . . . . . . . 1670--1726 Hannes Uecke and Johannes Müller and Burkhard A. Hense Individual-Based Model for Quorum Sensing with Background Flow . . . . . . 1727--1746 Claudia P. Ferreira and Lourdes Esteva and Wesley A. C. Godoy and Fernando L. Cônsoli Landscape Diversity Influences Dispersal and Establishment of Pest with Complex Nutritional Ecology . . . . . . . . . . 1747--1761 Suzanne L. Weekes and Brian Barker and Sarah Bober and Karina Cisneros and Justina Cline and Amanda Thompson and Lynn Hlatky and Philip Hahnfeldt and Heiko Enderling A Multicompartment Mathematical Model of Cancer Stem Cell-Driven Tumor Growth Dynamics . . . . . . . . . . . . . . . . 1762--1782 Matthew E. Zumbrum and David A. Edwards Multiple Surface Reactions in Arrays with Applications to Optical Biosensors 1783--1808 Eric Alan Eager and Richard Rebarber and Brigitte Tenhumberg Modeling and Analysis of a Density-Dependent Stochastic Integral Projection Model for a Disturbance Specialist Plant and Its Seed Bank . . . 1809--1834
Wing-Cheong Lo and Hay-Oak Park and Ching-Shan Chou Mathematical Analysis of Spontaneous Emergence of Cell Polarity . . . . . . . 1835--1865 Masahiro Anazawa Individual-Based Competition Between Species with Spatial Correlation and Aggregation . . . . . . . . . . . . . . 1866--1891 Dietrich Flockerzi and Katharina Holstein and Carsten Conradi N-site Phosphorylation Systems with 2N-1 Steady States . . . . . . . . . . . . . 1892--1916 Diana White and Gerda de Vries and Adriana Dawes Microtubule Patterning in the Presence of Stationary Motor Distributions . . . 1917--1940 Julio López-Fenner and Soledad Berríos and Catalina Manieu and Jesús Page and Raúl Fernández-Donoso Bivalent Associations in \bionameMus domesticus $ 2 n = 40 $ Spermatocytes. Are They Random? . . . . . . . . . . . . 1941--1952 J. L. Dunster and H. M. Byrne and J. R. King The Resolution of Inflammation: a Mathematical Model of Neutrophil and Macrophage Interactions . . . . . . . . 1953--1980 Hayley O'Farrell and Stephen A. Gourley Modelling the Dynamics of Bluetongue Disease and the Effect of Seasonality 1981--2009 E. A. Sarapata and L. G. de Pillis A Comparison and Catalog of Intrinsic Tumor Growth Models . . . . . . . . . . 2010--2024 Jude D. Kong and William Davis and Hao Wang Dynamics of a Cholera Transmission Model with Immunological Threshold and Natural Phage Control in Reservoir . . . . . . . 2025--2051 Farida Chamchod and Robert Stephen Cantrell and Chris Cosner and Ali N. Hassan and John C. Beier and Shigui Ruan A Modeling Approach to Investigate Epizootic Outbreaks and Enzootic Maintenance of Rift Valley Fever Virus 2052--2072 Gustavo Cruz-Pacheco and Lourdes Esteva and Cristobal Vargas Vaccination Strategies for SIR Vector-Transmitted Diseases . . . . . . 2073--2090
T. Pearson and J. A. D. Wattis and J. R. King and I. A. MacDonald and D. J. Mazzatti A Mathematical Model of the Human Metabolic System and Metabolic Flexibility . . . . . . . . . . . . . . 2091--2121 Matthew H. Chan and Peter S. Kim Modelling the Impact of Marine Reserves on a Population with Depensatory Dynamics . . . . . . . . . . . . . . . . 2122--2143 Josef Dolejs Age Trajectories of Mortality from All Diseases in the Six Most Populated Countries of the South America During the Last Decades . . . . . . . . . . . . 2144--2174 Angela Peace and Hao Wang and Yang Kuang Dynamics of a Producer--Grazer Model Incorporating the Effects of Excess Food Nutrient Content on Grazer's Growth . . 2175--2197 Yelena Mandelshtam and Natalia L. Komarova When Learners Surpass Their Models: Mathematical Modeling of Learning from an Inconsistent Source . . . . . . . . . 2198--2216 J. M. Davis and C. Pozrikidis Self-sustained Oscillations in Blood Flow Through a Honeycomb Capillary Network . . . . . . . . . . . . . . . . 2217--2237 Vladyslav P. Evstigneev and Marina G. Holyavka and Sergii V. Khrapatiy and Maxim P. Evstigneev Theoretical Description of Metabolism Using Queueing Theory . . . . . . . . . 2238--2248 Stephan Fischer and Samuel Bernard and Guillaume Beslon and Carole Knibbe A Model for Genome Size Evolution . . . 2249--2291 Chelsea Liddell and Nicci Owusu-Brackett and Dorothy Wallace A Mathematical Model of Sickle Cell Genome Frequency in Response to Selective Pressure from Malaria . . . . 2292--2305 Olivier Saut and Jean-Baptiste Lagaert and Thierry Colin and Hassan M. Fathallah-Shaykh A Multilayer Grow-or-Go Model for GBM: Effects of Invasive Cells and Anti-Angiogenesis on Growth . . . . . . 2306--2333 Fernando López-Caamal and Tatiana T. Marquez-Lago Exact Probability Distributions of Selected Species in Stochastic Chemical Reaction Networks . . . . . . . . . . . 2334--2361
Alan J. Terry A Minimal Spatio-Temporal Model of the NF-$ \kappa $ B Signalling Pathway Exhibits a Range of Behaviours . . . . . 2363--2388 Hayriye Gulbudak and Maia Martcheva A Structured Avian Influenza Model with Imperfect Vaccination and Vaccine-Induced Asymptomatic Infection 2389--2425 Natalia Kravtsova and Adriana T. Dawes Actomyosin Regulation and Symmetry Breaking in a Model of Polarization in the Early \bionameCaenorhabditis elegans Embryo . . . . . . . . . . . . . . . . . 2426--2448 Zhifeng Yan and Markus Hilpert A Multiple-Relaxation-Time Lattice--Boltzmann Model for Bacterial Chemotaxis: Effects of Initial Concentration, Diffusion, and Hydrodynamic Dispersion on Traveling Bacterial Bands . . . . . . . . . . . . 2449--2475 Gideon A. Ngwa and Terence T. Wankah and Mary Y. Fomboh-Nforba and Calsitus N. Ngonghala and Miranda I. Teboh-Ewungkem On a Reproductive Stage-Structured Model for the Population Dynamics of the Malaria Vector . . . . . . . . . . . . . 2476--2516 J. C. M. Keijsper and R. A. Pendavingh Reconstructing a Phylogenetic Level-1 Network from Quartets . . . . . . . . . 2517--2541 Franco Blanchini and Elisa Franco and Giulia Giordano A Structural Classification of Candidate Oscillatory and Multistationary Biochemical Systems . . . . . . . . . . 2542--2569 Abhishek Deshpande and Manoj Gopalkrishnan Autocatalysis in Reaction Networks . . . 2570--2595 Philippe Heinrich and Mariano Gonzalez Pisfil and Jonas Kahn and Laurent Héliot and Aymeric Leray Implementation of Transportation Distance for Analyzing FLIM and FRET Experiments . . . . . . . . . . . . . . 2596--2626 Paula Rodrigues and Cristiana J. Silva and Delfim F. M. Torres Cost-Effectiveness Analysis of Optimal Control Measures for Tuberculosis . . . 2627--2645 P. Martínez-Rodríguez and R. Granero-Belinchón and F. Arroyo-Yebras and J. L. Bella New Insight into \bionameWolbachia Epidemiology: Its Varying Incidence During the Host Life Cycle Can Alter Bacteria Spread . . . . . . . . . . . . 2646--2663 Paul Cordue and Simone Linz and Charles Semple Phylogenetic Networks that Display a Tree Twice . . . . . . . . . . . . . . . 2664--2679
Joseph P. Stover and Bruce E. Kendall and Roger M. Nisbet Consequences of Dispersal Heterogeneity for Population Spread and Persistence 2681--2710 Serena Spina and Virginia Giorno and Patricia Román-Román and Francisco Torres-Ruiz A Stochastic Model of Cancer Growth Subject to an Intermittent Treatment with Combined Effects: Reduction in Tumor Size and Rise in Growth Rate . . . 2711--2736 Cynthia Sanchez-Tapia and Frederic Y. M. Wan Fastest Time to Cancer by Loss of Tumor Suppressor Genes . . . . . . . . . . . . 2737--2784 Shaolin Tan and Shasha Feng and Pei Wang and Yao Chen Strategy Selection in Evolutionary Game Dynamics on Group Interaction Networks 2785--2805 Xiulan Lai and Xingfu Zou Repulsion Effect on Superinfecting Virions by Infected Cells . . . . . . . 2806--2833 S. Payvandi and K. R. Daly and K. C. Zygalakis and T. Roose Mathematical Modelling of the Phloem: The Importance of Diffusion on Sugar Transport at Osmotic Equilibrium . . . . 2834--2865 Addolorata Marasco and Annalisa Iuorio and Fabrizio Cartení and Giuliano Bonanomi and Daniel M. Tartakovsky and Stefano Mazzoleni and Francesco Giannino Vegetation Pattern Formation Due to Interactions Between Water Availability and Toxicity in Plant--Soil Feedback . . 2866--2883 Álvaro G. López and Jesús M. Seoane and Miguel A. F. Sanjuán A Validated Mathematical Model of Tumor Growth Including Tumor--Host Interaction, Cell-Mediated Immune Response and Chemotherapy . . . . . . . 2884--2906 Panayiotis Foteinopoulos and Bela M. Mulder The Effect of Anisotropic Microtubule-Bound Nucleations on Ordering in the Plant Cortical Array . . 2907--2922 Elena Dimitrova and Brandilyn Stigler Data Identification for Improving Gene Network Inference using Computational Algebra . . . . . . . . . . . . . . . . 2923--2940 Chad R. Wells and Jean M. Tchuenche and Lauren Ancel Meyers and Alison P. Galvani and Chris T. Bauch Erratum to: Impact of Imitation Processes on the Effectiveness of Ring Vaccination . . . . . . . . . . . . . . 2941--2944
Alan Veliz-Cuba and Ajit Kumar and Kre\vsimir Josi\'c Piecewise Linear and Boolean Models of Chemical Reaction Networks . . . . . . . 2945--2984 Jeffrey M. Davis On the Linear Stability of Blood Flow Through Model Capillary Networks . . . . 2985--3015 V. M. Kenkre and S. Sugaya Theory of the Transmission of Infection in the Spread of Epidemics: Interacting Random Walkers with and Without Confinement . . . . . . . . . . . . . . 3016--3027 R. Allena and P. K. Maini Reaction--Diffusion Finite Element Model of Lateral Line Primordium Migration to Explore Cell Leadership . . . . . . . . 3028--3050 Yang Cao and Radek Erban Stochastic Turing Patterns: Analysis of Compartment-Based Approaches . . . . . . 3051--3069 Anne Seppänen and Kalle Parvinen Evolution of Density-Dependent Cooperation . . . . . . . . . . . . . . 3070--3087 C. Y. Chen and J. P. Ward A Mathematical Model of the Growth of Uterine Myomas . . . . . . . . . . . . . 3088--3121 Garrett Nieddu and Lora Billings and Eric Forgoston Analysis and Control of Pre-extinction Dynamics in Stochastic Populations . . . 3122--3137
Alexander Lorz and Tommaso Lorenzi and Jean Clairambault and Alexandre Escargueil and Beno\^\it Perthame Modeling the Effects of Space Structure and Combination Therapies on Phenotypic Heterogeneity and Drug Resistance in Solid Tumors . . . . . . . . . . . . . . 1--22 Samuel A. Alexander and Arie de Bruin and D. J. Kornet An Alternative Construction of Internodons: The Emergence of a Multi-level Tree of Life . . . . . . . . 23--45 Sarah Baskowski and Vincent Moulton and Andreas Spillner and Taoyang Wu Neighborhoods of Trees in Circular Orderings . . . . . . . . . . . . . . . 46--70 B. Roy Frieden and Robert A. Gatenby Cancer Suppression by Compression . . . 71--82 Venu Kurella and Justin C. Tzou and Daniel Coombs and Michael J. Ward Asymptotic Analysis of First Passage Time Problems Inspired by Ecology . . . 83--125 Carsten Conradi and Anne Shiu A Global Convergence Result for Processive Multisite Phosphorylation Systems . . . . . . . . . . . . . . . . 126--155 L. F. Echeverri and M. A. Herrero and J. M. Lopez and G. Oleaga Early Stages of Bone Fracture Healing: Formation of a Fibrin--Collagen Scaffold in the Fracture Hematoma . . . . . . . . 156--183 Hakim Al Garalleh and Ngamta Thamwattana and Barry J. Cox and James M. Hill Modeling Interactions Between C $_{60}$ Antiviral Compounds and HIV Protease . . 184--201 Yuanshi Wang and Shikun Wang Persistence of Pollination Mutualisms in the Presence of Ants . . . . . . . . . . 202--229 D. E. Postnov and A. Y. Neganova and O. V. Sosnovtseva and N.-H. Holstein-Rathlou and J. C. Brings Jacobsen Conducted Vasoreactivity: the Dynamical Point of View . . . . . . . . . . . . . 230--249
Simon Levin What Mathematics can do for Sustainability . . . . . . . . . . . . . 251--253 Rachata Muneepeerakul and Carlos Castillo-Chavez Towards a Quantitative Science of Sustainability . . . . . . . . . . . . . 254--258 John M. Anderies Understanding the Dynamics of Sustainable Social--Ecological Systems: Human Behavior, Institutions, and Regulatory Feedback Networks . . . . . . 259--280 Michel De Lara and Vincent Martinet and Luc Doyen Satisficing Versus Optimality: Criteria for Sustainability . . . . . . . . . . . 281--297 Giulia Vico and Amilcare Porporato Ecohydrology of Agroecosystems: Quantitative Approaches Towards Sustainable Irrigation . . . . . . . . . 298--318 Irina Kareva and Benjamin Morin and Carlos Castillo-Chavez Resource Consumption, Sustainability, and Cancer . . . . . . . . . . . . . . . 319--338 Luca Ridolfi and Paolo D'Odorico and Francesco Laio Indicators of Collapse in Systems Undergoing Unsustainable Growth . . . . 339--347 Eli P. Fenichel and Jinhua Zhao Sustainability and Substitutability . . 348--367 David Angulo and Fabiola Angulo and Gerard Olivar Dynamics and Forecast in a Simple Model of Sustainable Development for Rural Populations . . . . . . . . . . . . . . 368--389 Murad R. Qubbaj and Shade T. Shutters and Rachata Muneepeerakul Living in a Network of Scaling Cities and Finite Resources . . . . . . . . . . 390--407
Fabiano L. Ribeiro A Non-phenomenological Model of Competition and Cooperation to Explain Population Growth Behaviors . . . . . . 409--433 Matthew Oremland and Reinhard Laubenbacher Optimal Harvesting for a Predator--Prey Agent-Based Model using Difference Equations . . . . . . . . . . . . . . . 434--459 Fred Brauer Some Simple Nosocomial Disease Transmission Models . . . . . . . . . . 460--469 Jason R. Picardo and S. Pushpavanam Understanding the Shape of Ant Craters: a Continuum Model . . . . . . . . . . . 470--487 Marianne Wilcox and Allan R. Willms and William F. Langford A Model of the Effects of Fluid Variation due to Body Position on Cheyne--Stokes Respiration . . . . . . . 488--498 Anthony DeLegge and Katie Hunzinger and Reema Khatri and Kiran Munir An Epidemic Model With a Multistage Vaccine . . . . . . . . . . . . . . . . 499--513 C. M. Saad-Roy and Zhisheng Shuai and P. van den Driessche Models of Bovine Babesiosis Including Juvenile Cattle . . . . . . . . . . . . 514--547 Marcus R. Garvie and John Burkardt and Jeff Morgan Simple Finite Element Methods for Approximating Predator--Prey Dynamics in Two Dimensions Using Matlab . . . . . . 548--578 Sarah Bastkowski and Vincent Moulton and Andreas Spillner and Taoyang Wu Erratum to: Neighborhoods of Trees in Circular Orderings . . . . . . . . . . . 579--579 Hannes Uecker and Johannes Müller and Burkhard A. Hense Erratum to: Individual-Based Model for Quorum Sensing with Background Flow . . 580--580
Matthew J. Simpson and Ruth E. Baker Special Issue on Spatial Moment Techniques for Modelling Biological Processes . . . . . . . . . . . . . . . 581--585 Michael J. Plank and Richard Law Spatial Point Processes and Moment Dynamics in the Life Sciences: a Parsimonious Derivation and Some Extensions . . . . . . . . . . . . . . . 586--613 K. J. Sharkey and I. Z. Kiss and R. R. Wilkinson and P. L. Simon Exact Equations for SIR Epidemics on Tree Graphs . . . . . . . . . . . . . . 614--645 Thomas House Algebraic Moment Closure for Population Dynamics on Discrete Structures . . . . 646--659 Carsten Mente and Anja Voss-Böhme and Andreas Deutsch Analysis of Individual Cell Trajectories in Lattice--Gas Cellular Automaton Models for Migrating Cell Populations 660--697 David E. Hiebeler and Rachel M. Rier and Josh Audibert and Phillip J. LeClair and Anna Webber Variability in a Community-Structured SIS Epidemiological Model . . . . . . . 698--712 Deborah C. Markham and Matthew J. Simpson and Ruth E. Baker Choosing an Appropriate Modelling Framework for Analysing Multispecies Co-culture Cell Biology Experiments . . 713--734
Michael C. Mackey and Philip K. Maini What Has Mathematics Done for Biology? 735--738 David C. Dale and Michael C. Mackey Understanding, Treating and Avoiding Hematological Disease: Better Medicine Through Mathematics? . . . . . . . . . . 739--757 Avner Friedman and Wenrui Hao A Mathematical Model of Atherosclerosis with Reverse Cholesterol Transport and Associated Risk Factors . . . . . . . . 758--781 Leon Glass and Alvin Shrier Functional Characterization of Oscillatory and Excitable Media . . . . 782--795 John J. Tyson and Bela Novak Bistability, Oscillations, and Traveling Waves in Frog Egg Extracts . . . . . . . 796--816 David M. Umulis and Hans G. Othmer The Role of Mathematical Models in Understanding Pattern Formation in Developmental Biology . . . . . . . . . 817--845 Pamela R. Jackson and Joseph Juliano and Andrea Hawkins-Daarud and Russell C. Rockne and Kristin R. Swanson Patient-Specific Mathematical Neuro-Oncology: Using a Simple Proliferation and Invasion Tumor Model to Inform Clinical Practice . . . . . . 846--856 Marc Mangel Stochastic Dynamic Programming Illuminates the Link Between Environment, Physiology, and Evolution 857--877
Rodrick Wallace Metabolic Free Energy and Biological Codes: a `Data Rate Theorem' Aging Model 879--903 Xingjiang Chen and James Sneyd A Computational Model of the Dendron of the GnRH Neuron . . . . . . . . . . . . 904--926 Klodeta Kura and Mark Broom and Anne Kandler Modelling Dominance Hierarchies Under Winner and Loser Effects . . . . . . . . 927--952 R. Edwards and A. Machina and G. McGregor and P. van den Driessche A Modelling Framework for Gene Regulatory Networks Including Transcription and Translation . . . . . 953--983 Karly Jacobsen and Luke Russell and Balveen Kaur and Avner Friedman Effects of CCN1 and Macrophage Content on Glioma Virotherapy: a Mathematical Model . . . . . . . . . . . . . . . . . 984--1012 Inom Mirzaev and David M. Bortz Laplacian Dynamics with Synthesis and Degradation . . . . . . . . . . . . . . 1013--1045 Tian Hong and Cihan Oguz and John J. Tyson A Mathematical Framework for Understanding Four-Dimensional Heterogeneous Differentiation of CD4$^+$ T Cells . . . . . . . . . . . . . . . . 1046--1064 Matthew D. Johnston A Computational Approach to Steady State Correspondence of Regular and Generalized Mass Action Systems . . . . 1065--1100 Charles Heppell and Tiina Roose and Giles Richardson A Model for Interstitial Drainage Through a Sliding Lymphatic Valve . . . 1101--1131 K. J. Painter and J. M. Bloomfield and J. A. Sherratt and A. Gerisch A Nonlocal Model for Contact Attraction and Repulsion in Heterogeneous Cell Populations . . . . . . . . . . . . . . 1132--1165 S. Ghorai and R. Singh and N. A. Hill Wavelength Selection in Gyrotactic Bioconvection . . . . . . . . . . . . . 1166--1184 Fabio Mavelli and Roberto Marangoni and Pasquale Stano A Simple Protein Synthesis Model for the PURE System Operation . . . . . . . . . 1185--1212
Jake P. Taylor-King and E. Emiel van Loon and Gabriel Rosser and S. Jon Chapman From Birds to Bacteria: Generalised Velocity Jump Processes with Resting States . . . . . . . . . . . . . . . . . 1213--1236 Xinxin Wang and Shengqiang Liu and Lin Wang and Weiwei Zhang An Epidemic Patchy Model with Entry--Exit Screening . . . . . . . . . 1237--1255 Jacob P. Duncan and James A. Powell and Luis F. Gordillo and Joseph Eason A Model for Mountain Pine Beetle Outbreaks in an Age-Structured Forest: Predicting Severity and Outbreak-Recovery Cycle Period . . . . . 1256--1284 Yu Zhao and Sanling Yuan and Junling Ma Survival and Stationary Distribution Analysis of a Stochastic Competitive Model of Three Species in a Polluted Environment . . . . . . . . . . . . . . 1285--1326 Glenn Young and Bard Ermentrout and Jonathan E. Rubin A Boundary Value Approach to Optimization with an Application to \bionameSalmonella Competition . . . . . 1327--1348 Wanho Lee and Eunok Jung A Multiscale Model of Cardiovascular System Including an Immersed Whole Heart in the Cases of Normal and Ventricular Septal Defect (VSD) . . . . . . . . . . 1349--1376 Nathaniel J. Karst and Brian D. Storey and John B. Geddes Oscillations and Multiple Equilibria in Microvascular Blood Flow . . . . . . . . 1377--1400 Richard Kollár and Katarína \vSi\vsková Extension and Justification of Quasi--Steady-State Approximation for Reversible Bimolecular Binding . . . . . 1401--1436 Eric Forgoston and Leah B. Shaw and Ira B. Schwartz A Framework for Inferring Unobserved Multistrain Epidemic Subpopulations Using Synchronization Dynamics . . . . . 1437--1455
Kam D. Dahlquist and Ben G. Fitzpatrick and Erika T. Camacho and Stephanie D. Entzminger and Nathan C. Wanner Parameter Estimation for Gene Regulatory Networks from Microarray Data: Cold Shock Response in \bionameSaccharomyces cerevisiae . . . . . . . . . . . . . . . 1457--1492 Vardayani Ratti and Peter G. Kevan and Hermann J. Eberl A Mathematical Model of the Honeybee--\bionameVarroa destructor--Acute Bee Paralysis Virus System with Seasonal Effects . . . . . . 1493--1520 A. Rabinovitch and M. Friedman and D. Braunstein and Y. Biton and I. Aviram The Baroreflex Mechanism Revisited . . . 1521--1538 A. C. Fowler and T. Déirdre Hollingsworth Simple Approximations for Epidemics with Exponential and Fixed Infectious Periods 1539--1555 Hayley C. Warsinske and Shanna L. Ashley and Jennifer J. Linderman and Bethany B. Moore and Denise E. Kirschner Identifying Mechanisms of Homeostatic Signaling in Fibroblast Differentiation 1556--1582 Luiz Alberto Díaz Rodrigues and Diomar Cristina Mistro and Elisa Regina Cara and Natalia Petrovskaya and Sergei Petrovskii Patchy Invasion of Stage-Structured Alien Species with Short-Distance and Long-Distance Dispersal . . . . . . . . 1583--1619 Nicolette Meshkat and Seth Sullivant and Marisa Eisenberg Identifiability Results for Several Classes of Linear Compartment Models . . 1620--1651
Kelly M. Paton and Lisa Anderson and Pauline Flottat and Eric N. Cytrynbaum A Model of Chloroplast Growth Regulation in Mesophyll Cells . . . . . . . . . . . 1653--1667 Benjamin Ivorra and Di\`ene Ngom and Ángel M. Ramos Be-CoDiS: a Mathematical Model to Predict the Risk of Human Diseases Spread Between Countries --- Validation and Application to the 2014--2015 Ebola Virus Disease Epidemic . . . . . . . . . 1668--1704 Dan Li and Jing'an Cui and Meng Liu and Shengqiang Liu The Evolutionary Dynamics of Stochastic Epidemic Model with Nonlinear Incidence Rate . . . . . . . . . . . . . . . . . . 1705--1743 David F. Anderson and Gheorghe Craciun and Manoj Gopalkrishnan and Carsten Wiuf Lyapunov Functions, Stationary Distributions, and Non-equilibrium Potential for Reaction Networks . . . . 1744--1767 Wessel N. van Wieringen and Aad W. van der Vaart Transcriptomic Heterogeneity in Cancer as a Consequence of Dysregulation of the Gene--Gene Interaction Network . . . . . 1768--1786 Angela M. Jarrett and N. G. Cogan and M. Y. Hussaini Mathematical Model for MRSA Nasal Carriage . . . . . . . . . . . . . . . . 1787--1812 M. R. Nikmaneshi and B. Firoozabadi and M. S. Saidi Two-Phase Acto-Cytosolic Fluid Flow in a Moving Keratocyte: a $2$D Continuum Model . . . . . . . . . . . . . . . . . 1813--1832
Tomas Gedeon and Patrick Murphy Dynamics of Simple Food Webs . . . . . . 1833--1853 Glenn Young and Eunha Shim and G. Bard Ermentrout Qualitative Effects of Monovalent Vaccination Against Rotavirus: a Comparison of North America and South America . . . . . . . . . . . . . . . . 1854--1885 J. Z. Farkas and A. Yu. Morozov and E. G. Arashkevich and A. Nikishina Revisiting the Stability of Spatially Heterogeneous Predator--Prey Systems Under Eutrophication . . . . . . . . . . 1886--1908 N. Sherborne and K. B. Blyuss and I. Z. Kiss Dynamics of Multi-stage Infections on Networks . . . . . . . . . . . . . . . . 1909--1933 Anne Talkington and Rick Durrett Estimating Tumor Growth Rates \em In Vivo . . . . . . . . . . . . . . . . . . 1934--1954 Laetitia Laguzet and Gabriel Turinici Individual Vaccination as Nash Equilibrium in a SIR Model with Application to the 2009--2010 Influenza A (H1N1) Epidemic in France . . . . . . 1955--1984
Michael Birch and Benjamin M. Bolker Evolutionary Stability of Minimal Mutation Rates in an Evo-epidemiological Model . . . . . . . . . . . . . . . . . 1985--2003 Derdei Bichara and Yun Kang and Carlos Castillo-Chavez and Richard Horan and Charles Perrings SIS and SIR Epidemic Models Under Virtual Dispersal . . . . . . . . . . . 2004--2034 Ana-Maria Croicu Short- and Long--Term Optimal Control of a Mathematical Model for HIV Infection of $ C D4^+T $ Cells . . . . . . . . . 2035--2071 Canrong Tian Turing Pattern Formation in a Semiarid Vegetation Model with Fractional-in-Space Diffusion . . . . . 2072--2085 Kazi A. Rahman and Rangarajan Sudarsan and Hermann J. Eberl A Mixed-Culture Biofilm Model with Cross-Diffusion . . . . . . . . . . . . 2086--2124 Austin Phillips and Mark Kot Persistence in a Two-Dimensional Moving-Habitat Model . . . . . . . . . . 2125--2159
Mark Whidden and Nick Cogan and Matt Donahue and Fernando Navarrete and Leonardo De La Fuente A Two-Dimensional Multiphase Model of Biofilm Formation in Microfluidic Chambers . . . . . . . . . . . . . . . . 2161--2179 Satya Swarup Samal and Dima Grigoriev and Holger Fröhlich and Andreas Weber and Ovidiu Radulescu A Geometric Method for Model Reduction of Biochemical Networks with Polynomial Rate Functions . . . . . . . . . . . . . 2180--2211 Diána Knipl and Seyed M. Moghadas The Potential Impact of Vaccination on the Dynamics of Dengue Infections . . . 2212--2230 Jude D. Kong and Chaochao Jin and Hao Wang The Inverse Method for a Childhood Infectious Disease Model with Its Application to Pre-vaccination and Post-vaccination Measles Data . . . . . 2231--2263 Qiming Wang and Nathan Gold and Martin G. Frasch and Huaxiong Huang and Marc Thiriet and Xiaogang Wang Mathematical Model of Cardiovascular and Metabolic Responses to Umbilical Cord Occlusions in Fetal Sheep . . . . . . . 2264--2293 Nitin A. Krishna and Hannah M. Pennington and Canaan D. Coppola and Marisa C. Eisenberg and Richard C. Schugart Connecting Local and Global Sensitivities in a Mathematical Model for Wound Healing . . . . . . . . . . . 2294--2324 Yadigar Sekerci and Sergei Petrovskii Mathematical Modelling of Plankton--Oxygen Dynamics Under the Climate Change . . . . . . . . . . . . . 2325--2353 Maurizio Serva A Stochastic Model for the Interbreeding of Two Populations Continuously Sharing the Same Habitat . . . . . . . . . . . . 2354--2365 Mike Mesterton-Gibbons and Yao Dai An Effect of Landmarks on Territory Shape in a Convict Cichlid . . . . . . . 2366--2378
Reinhard Laubenbacher and Alan Hastings Editorial . . . . . . . . . . . . . . . 1--3 Tri Sri Noor Asih and Suzanne Lenhart and Steven Wise and Lina Aryati and F. Adi-Kusumo and Mardiah S. Hardianti and Jonathan Forde The Dynamics of HPV Infection and Cervical Cancer Cells . . . . . . . . . 4--20 Elizabeth Gross and Heather A. Harrington and Zvi Rosen and Bernd Sturmfels Algebraic Systems Biology: a Case Study for the Wnt Pathway . . . . . . . . . . 21--51 Laura J. Cooper and James P. Heppell and Geraldine F. Clough and Bharathram Ganapathisubramani and Tiina Roose An Image-Based Model of Fluid Flow Through Lymph Nodes . . . . . . . . . . 52--71 Jody R. Reimer and Michael B. Bonsall and Philip K. Maini Approximating the Critical Domain Size of Integrodifference Equations . . . . . 72--109 Guilherme C. P. Innocentini and Michael Forger and Ovidiu Radulescu and Fernando Antoneli Protein Synthesis Driven by Dynamical Stochastic Transcription . . . . . . . . 110--131 Charles Semple Phylogenetic Networks with Every Embedded Phylogenetic Tree a Base Tree 132--137 Xiaotian Wu and Gergely Röst and Xingfu Zou Impact of Spring Bird Migration on the Range Expansion of \bionameIxodes scapularis Tick Population . . . . . . . 138--168 Edward K. Waters and Andrew J. Hamilton and Harvinder S. Sidhu and Leesa A. Sidhu and Michelle Dunbar Zoonotic Transmission of Waterborne Disease: a Mathematical Model . . . . . 169--183
Luis Fernandez Lopez and Marcos Amaku and Francisco Antonio Bezerra Coutinho and Mikkel Quam and Marcelo Nascimento Burattini and Claudio José Struchiner and Annelies Wilder-Smith and Eduardo Massad Modeling Importations and Exportations of Infectious Diseases via Travelers . . 185--209 Nathan Mellor and Malcolm J. Bennett and John R. King GH3-Mediated Auxin Conjugation Can Result in Either Transient or Oscillatory Transcriptional Auxin Responses . . . . . . . . . . . . . . . 210--234 Z. Rapti and C. E. Cáceres Effects of Intrinsic and Extrinsic Host Mortality on Disease Spread . . . . . . 235--253 Yong-Jung Kim and Ohsang Kwon Evolution of Dispersal with Starvation Measure and Coexistence . . . . . . . . 254--279 Michael J. Plank and Jonathan W. Pitchford and Alex James Evolutionarily Stable Strategies for Fecundity and Swimming Speed of Fish . . 280--292 Michael Lydeamore and Nigel Bean and Andrew J. Black and Joshua V. Ross Choice of Antiviral Allocation Scheme for Pandemic Influenza Depends on Strain Transmissibility, Delivery Delay and Stockpile Size . . . . . . . . . . . . . 293--321 Xia Wang and Xinyu Song and Sanyi Tang and Libin Rong Dynamics of an HIV Model with Multiple Infection Stages and Treatment with Different Drug Classes . . . . . . . . . 322--349 A. M. de Roos and O. Diekmann and P. Getto and M. A. Kirkilionis Erratum to: Numerical Equilibrium Analysis for Structured Consumer Resource Models . . . . . . . . . . . . 350--351 Tomas Gedeon and Patrick Murphy Erratum to: Dynamics of Simple Food Webs 352--352
Qihua Huang and Hao Wang and Anthony Ricciardi and Mark A. Lewis Temperature- and Turbidity-Dependent Competitive Interactions Between Invasive Freshwater Mussels . . . . . . 353--380 Jiantao Zhao and Jianjun Paul Tian and Junjie Wei Minimal Model of Plankton Systems Revisited with Spatial Diffusion and Maturation Delay . . . . . . . . . . . . 381--412 Stephen Ippolito and Vincent Naudot and Erik G. Noonburg Alternative Stable States, Coral Reefs, and Smooth Dynamics with a Kick . . . . 413--435 L. E. Brown and A. M. Middleton and J. R. King and M. Loose Multicellular Mathematical Modelling of Mesendoderm Formation in Amphibians . . 436--467 C. N. Angstmann and B. I. Henry and A. V. McGann A Fractional Order Recovery SIR Model from a Stochastic Process . . . . . . . 468--499 James R. Moore and Fred Adler A Mathematical Model of T1D Acceleration and Delay by Viral Infection . . . . . . 500--530 M. Wang and Y. Huang and Z. Wu Simulation of Yeast Cooperation in $2$D 531--555 Uffe Hògsbro Thygesen A Diffusion Approximation Based on Renewal Processes with Applications to Strongly Biased Run-Tumble Motion . . . 556--579 Mykhailo Potomkin and Shawn D. Ryan and Leonid Berlyand Effective Rheological Properties in Semi-dilute Bacterial Suspensions . . . 580--615
Youfang Cao and Anna Terebus and Jie Liang State Space Truncation with Quantified Errors for Accurate Solutions to Discrete Chemical Master Equation . . . 617--661 Dongyu Lv and Meng Fan and Yun Kang and Krystal Blanco Modeling Refuge Effect of Submerged Macrophytes in Lake System . . . . . . . 662--694 Frédéric M. Hamelin and François Castella and Valentin Doli and Beno\^\it Marçais and Virginie Ravigné and Mark A. Lewis Mate Finding, Sexual Spore Production, and the Spread of Fungal Plant Parasites 695--712 Ágnes Bodó and Gyula Y. Katona and Péter L. Simon SIS Epidemic Propagation on Hypergraphs 713--735 Michael Sadovsky and Mariya Senashova Model of Prey--Predator Dynamics with Reflexive Spatial Behaviour of Species Based on Optimal Migration . . . . . . . 736--753 Anna Konstorum and Thomas Hillen and John Lowengrub Feedback Regulation in a Cancer Stem Cell Model can Cause an Allee Effect . . 754--785 Joao Paulo Pereira Zanetti and Priscila Biller and Joao Meidanis Median Approximations for Genomes Modeled as Matrices . . . . . . . . . . 786--814 A. C. Fowler and T. Déirdre Hollingsworth The Dynamics of \bionameAscaris lumbricoides Infections . . . . . . . . 815--833 G. P. Karev and I. Kareva Mathematical Modeling of Extinction of Inhomogeneous Populations . . . . . . . 834--858
Shoshana R. Leffler and Emilie Legué and Orlando Aristizábal and Alexandra L. Joyner and Charles S. Peskin and Daniel H. Turnbull A Mathematical Model of Granule Cell Generation During Mouse Cerebellum Development . . . . . . . . . . . . . . 859--878 Yun Kang and Guy Theraulaz Dynamical Models of Task Organization in Social Insect Colonies . . . . . . . . . 879--915 Chasity Dorsett and Hyunju Oh and Marie Laura Paulemond and Jan Rychtá\vr Optimal Repellent Usage to Combat Dengue Fever . . . . . . . . . . . . . . . . . 916--922 Ioannis Sgouralis and Vasileios Maroulas and Anita T. Layton Transfer Function Analysis of Dynamic Blood Flow Control in the Rat Kidney . . 923--960 Maria Anaya and Olga Anipchenko-Ulaj and Aisha Ashfaq and Joyce Chiu and Mahedi Kaiser and Max Shoji Ohsawa and Megan Owen and Ella Pavlechko and Katherine St. John and Shivam Suleria and Keith Thompson and Corrine Yap On Determining if Tree-based Networks Contain Fixed Trees . . . . . . . . . . 961--969 Marcos Amaku and Marcelo Nascimento Burattini and Francisco Antonio Bezerra Coutinho and Luis Fernandez Lopez and Fabio Mesquita and Marcelo Contardo Moscoso Naveira and Gerson Fernando Mendes Pereira and Melina Érica Santos and Eduardo Massad Estimating the Size of the HCV Infection Prevalence: A Modeling Approach Using the Incidence of Cases Reported to an Official Notification System . . . . . . 970--990 Yuri S. Semenov and Artem S. Novozhilov On Eigen's Quasispecies Model, Two-Valued Fitness Landscapes, and Isometry Groups Acting on Finite Metric Spaces . . . . . . . . . . . . . . . . . 991--1038 Johannes W. R. Martini and Martin Schlather and Stefan Schütz A Model for Carrier-Mediated Biological Signal Transduction Based on Equilibrium Ligand Binding Theory . . . . . . . . . 1039--1057 Ellen Urheim and Eric Ford and Katherine St. John Characterizing Local Optima for Maximum Parsimony . . . . . . . . . . . . . . . 1058--1075
Gaoyang Fan and Bree Cummins and Tomá\vs Gedeon Convergence Properties of Posttranslationally Modified Protein--Protein Switching Networks with Fast Decay Rates . . . . . . . . . . . . 1077--1120 Dimitris G. Patsatzis and Dimitris T. Maris and Dimitris A. Goussis Asymptotic Analysis of a Target-Mediated Drug Disposition Model: Algorithmic and Traditional Approaches . . . . . . . . . 1121--1161 Adam Rhodes and Thomas Hillen Mathematical Modeling of the Role of \bionameSurvivin on Dedifferentiation and Radioresistance in Cancer . . . . . 1162--1188 Taliesin Pearson and Jonathan A. D. Wattis and John R. King and Ian A. MacDonald and Dawn J. Mazzatti The Effects of Insulin Resistance on Individual Tissues: an Application of a Mathematical Model of Metabolism in Humans . . . . . . . . . . . . . . . . . 1189--1217 María Rosa Durán and Ana Podolski-Reni\'c and Arturo Álvarez-Arenas and Jelena Dini\'c and Juan Belmonte-Beitia and Milica Pe\vsi\'c and Víctor M. Pérez-García Transfer of Drug Resistance Characteristics Between Cancer Cell Subpopulations: a Study Using Simple Mathematical Models . . . . . . . . . . 1218--1237 Raphaël Cerf and Joseba Dalmau Quasispecies on Class-Dependent Fitness Landscapes . . . . . . . . . . . . . . . 1238--1258 Klodeta Kura and Mark Broom and Anne Kandler A Game-Theoretical Winner and Loser Model of Dominance Hierarchy Formation 1259--1290 Tomas Gedeon and Mark Pernarowski and Adam Wilander Cyclic Feedback Systems with Quorum Sensing Coupling . . . . . . . . . . . . 1291--1317 Ying Chen and Brendan C. Fry and Anita T. Layton Modeling Glucose Metabolism in the Kidney . . . . . . . . . . . . . . . . . 1318--1336
Bingtuan Li and Sharon Bewick and Michael R. Barnard and William F. Fagan Persistence and Spreading Speeds of Integro--Difference Equations with an Expanding or Contracting Habitat . . . . 1337--1379 S. E. Boronovsky and Y. R. Nartsissov Computer Simulator of Glycine Receptor Activity: a New Window into a Virtual World . . . . . . . . . . . . . . . . . 1380--1393 Erika T. Camacho and Thierry Léveillard and José-Alain Sahel and Stephen Wirkus Mathematical Model of the Role of RdCVF in the Coexistence of Rods and Cones in a Healthy Eye . . . . . . . . . . . . . 1394--1409 Jorge A. Castillo and Faustino Sánchez-Garduño and Pablo Padilla A Turing--Hopf Bifurcation Scenario for Pattern Formation on Growing Domains . . 1410--1449 Dimah Dera and Nidhal Bouaynaya and Hassan M. Fathallah-Shaykh Automated Robust Image Segmentation: Level Set Method Using Nonnegative Matrix Factorization with Application to Brain MRI . . . . . . . . . . . . . . . 1450--1476 Idan Alter and Yoram Louzoun Population Growth Combined with Wide Offspring Distributions can Increase Fixation Rate and Reduce Genetic Diversity . . . . . . . . . . . . . . . 1477--1492 D. Pal and G. S. Mahapatra and G. P. Samanta Stability and Bionomic Analysis of Fuzzy Prey--Predator Harvesting Model in Presence of Toxicity: a Dynamic Approach 1493--1519 Mihaela T. Matache and Valentin Matache Logical Reduction of Biological Networks to Their Most Determinative Components 1520--1545 Julia Sánchez Sanz and Philipp Getto Numerical Bifurcation Analysis of Physiologically Structured Populations: Consumer--Resource, Cannibalistic and Trophic Models . . . . . . . . . . . . . 1546--1584
Judith Pérez-Velázquez and Meltem Gölgeli and Rodolfo García-Contreras Mathematical Modelling of Bacterial Quorum Sensing: a Review . . . . . . . . 1585--1639 Christopher Lester and Ruth E. Baker and Michael B. Giles and Christian A. Yates Extending the Multi-level Method for the Simulation of Stochastic Biological Systems . . . . . . . . . . . . . . . . 1640--1677 Stephen A. Gourley and Jing Li and Xingfu Zou A Mathematical Model for Biocontrol of the Invasive Weed \bionameFallopia japonica . . . . . . . . . . . . . . . . 1678--1702 Duan Chen A New Poisson--Nernst--Planck Model with Ion--Water Interactions for Charge Transport in Ion Channels . . . . . . . 1703--1726 Meng Fan and Ping Wu and Zhilan Feng and Robert K. Swihart Dynamics of Predator--Prey Metapopulations with Allee Effects . . . 1727--1748 Kalle Parvinen and Åke Brännström Evolution of Site-Selection Stabilizes Population Dynamics, Promotes Even Distribution of Individuals, and Occasionally Causes Evolutionary Suicide 1749--1772
Philippe Gambette and Leo van Iersel and Steven Kelk and Fabio Pardi and Celine Scornavacca Do Branch Lengths Help to Locate a Tree in a Phylogenetic Network? . . . . . . . 1773--1795 Necibe Tuncer and Hayriye Gulbudak and Vincent L. Cannataro and Maia Martcheva Structural and Practical Identifiability Issues of Immuno--Epidemiological Vector--Host Models with Application to Rift Valley Fever . . . . . . . . . . . 1796--1827 Alexander B. Beams and Damon J. A. Toth and Karim Khader and Frederick R. Adler Harnessing Intra-Host Strain Competition to Limit Antibiotic Resistance: Mathematical Model Results . . . . . . . 1828--1846 Andrés Pomi A Possible Neural Representation of Mathematical Group Structures . . . . . 1847--1865 Juliette Bouhours and Mark A. Lewis Climate Change and Integrodifference Equations in a Stochastic Environment 1866--1903 Arianna Bianchi and Kevin J. Painter and Jonathan A. Sherratt Spatio-temporal Models of Lymphangiogenesis in Wound Healing . . . 1904--1941
Rosemary O'Connell and Yoichiro Mori Effects of Glia in a Triphasic Continuum Model of Cortical Spreading Depression 1943--1967 Xianghong Zhang and Sanyi Tang and Robert A. Cheke and Huaiping Zhu Modeling the Effects of Augmentation Strategies on the Control of Dengue Fever With an Impulsive Differential Equation . . . . . . . . . . . . . . . . 1968--2010 Jorge A. Falcón-Lezama and Ruth A. Martínez-Vega and Pablo A. Kuri-Morales and José Ramos-Castañeda and Ben Adams Day-to-Day Population Movement and the Management of Dengue Epidemics . . . . . 2011--2033 Brian P. Yurk Homogenization of a Directed Dispersal Model for Animal Movement in a Heterogeneous Environment . . . . . . . 2034--2056 Yuqin Zhao and Daniel T. Wood and Hristo V. Kojouharov and Yang Kuang and Dobromir T. Dimitrov Impact of Population Recruitment on the HIV Epidemics and the Effectiveness of HIV Prevention Interventions . . . . . . 2057--2090 Raluca Eftimie and Joseph J. Gillard and Doreen A. Cantrell Mathematical Models for Immunology: Current State of the Art and Future Research Directions . . . . . . . . . . 2091--2134
Mariya Ptashnyk and Brian Seguin The Impact of Microfibril Orientations on the Biomechanics of Plant Cell Walls and Tissues . . . . . . . . . . . . . . 2135--2164 Jimmy Garnier and Mark A. Lewis Expansion Under Climate Change: The Genetic Consequences . . . . . . . . . . 2165--2185 Vladimir Kozlov and Sergey Vakulenko and Uno Wennergren Stability of Ecosystems Under Invasions 2186--2211 Martin Vyska and Christopher Gilligan Complex Dynamical Behaviour in an Epidemic Model with Control . . . . . . 2212--2227 David Baca-Carrasco and Jorge X. Velasco-Hernández Sex, Mosquitoes and Epidemics: an Evaluation of Zika Disease Dynamics . . 2228--2242 Michael D. Nicholson and Tibor Antal Universal Asymptotic Clone Size Distribution for General Population Growth . . . . . . . . . . . . . . . . . 2243--2276 Rachelle N. Binny and Alex James and Michael J. Plank Collective Cell Behaviour with Neighbour-Dependent Proliferation, Death and Directional Bias . . . . . . . . . . 2277--2301
Alan Hastings and Reinhard Laubenbacher Editorial . . . . . . . . . . . . . . . 2303--2303 M. Craig and A. R. Humphries and M. C. Mackey A Mathematical Model of Granulopoiesis Incorporating the Negative Feedback Dynamics and Kinetics of G-CSF\slash Neutrophil Binding and Internalization 2304--2357 Samuel Bernard Moving the Boundaries of Granulopoiesis Modelling . . . . . . . . . . . . . . . 2358--2363 J. Mushanyu and F. Nyabadza and G. Muchatibaya and A. G. R. Stewart Modelling Drug Abuse Epidemics in the Presence of Limited Rehabilitation Capacity . . . . . . . . . . . . . . . . 2364--2389 David F. Anderson and Simon L. Cotter Product-Form Stationary Distributions for Deficiency Zero Networks with Non-mass Action Kinetics . . . . . . . . 2390--2407 Rodrick Wallace Environmental Induction of Neurodevelopmental Disorders . . . . . . 2408--2426 Tom Britton and David Juher and Joan Saldaña A Network Epidemic Model with Preventive Rewiring: Comparative Analysis of the Initial Phase . . . . . . . . . . . . . 2427--2454
Brodie A. J. Lawson and Graeme J. Pettet Space-Limited Mitosis in the Glazier--Graner--Hogeweg Model . . . . . 1--20 Qiang-Hui Guo and Lisa Hui Sun and Jian Wang Regular Simple Queues of Protein Contact Maps . . . . . . . . . . . . . . . . . . 21--35 Jason Bintz and Suzanne Lenhart and Cristina Lanzas Antimicrobial Stewardship and Environmental Decontamination for the Control of \bionameClostridium difficile Transmission in Healthcare Settings . . 36--62 G. An and B. G. Fitzpatrick and S. Christley and P. Federico and A. Kanarek and R. Miller Neilan and M. Oremland and R. Salinas and R. Laubenbacher and S. Lenhart Optimization and Control of Agent-Based Models in Biology: a Perspective . . . . 63--87 Eric Numfor and Frank M. Hilker and Suzanne Lenhart Optimal Culling and Biocontrol in a Predator--Prey Model . . . . . . . . . . 88--116 David S. Ross and Khamir Mehta and Antonio Cabal Mathematical Model of Bone Remodeling Captures the Antiresorptive and Anabolic Actions of Various Therapies . . . . . . 117--142 Camilla Fiorini Optimization of Running Strategies According to the Physiological Parameters for a Two-Runners Model . . . 143--162 Jing Li and Darla V. Lindberg and Rachel A. Smith and Timothy C. Reluga Provisioning of Public Health Can Be Designed to Anticipate Public Policy Responses . . . . . . . . . . . . . . . 163--190 Anna Seigal and Portia Mira and Bernd Sturmfels and Miriam Barlow Does Antibiotic Resistance Evolve in Hospitals? . . . . . . . . . . . . . . . 191--208 Nikolaos Sfakianakis and Niklas Kolbe and Nadja Hellmann and Mária Luká\vcová-Medvid'ová A Multiscale Approach to the Migration of Cancer Stem Cells: Mathematical Modelling and Simulations . . . . . . . 209--235
K. Storey and M. D. Ryser and K. Leder and J. Foo Spatial Measures of Genetic Heterogeneity During Carcinogenesis . . 237--276 Sun-Ho Choi and Yong-Jung Kim A Discrete Velocity Kinetic Model with Food Metric: Chemotaxis Traveling Waves 277--302 C. M. Saad-Roy and P. van den Driessche and Abdul-Aziz Yakubu A Mathematical Model of Anthrax Transmission in Animal Populations . . . 303--324 Hayriye Gulbudak and Vincent L. Cannataro and Necibe Tuncer and Maia Martcheva Vector-Borne Pathogen and Host Evolution in a Structured Immuno--Epidemiological System . . . . . . . . . . . . . . . . . 325--355 Matthew Lewis and James Powell Yeast for Mathematicians: a Ferment of Discovery and Model Competition to Describe Data . . . . . . . . . . . . . 356--382 Philip K. Maini and Hans G. Othmer and Andreas Deutsch Obituary: Hans Meinhardt (1938--2016) 383--388
Lu Peng and Dumitru Trucu and Ping Lin and Alastair Thompson and Mark A. J. Chaplain A Multiscale Mathematical Model of Tumour Invasive Growth . . . . . . . . . 389--429 Virginie Ravigné and Valérie Lemesle and Alicia Walter and Ludovic Mailleret and Frédéric M. Hamelin Mate Limitation in Fungal Plant Parasites Can Lead to Cyclic Epidemics in Perennial Host Populations . . . . . 430--447 Lin Lin and Hans G. Othmer Improving Parameter Inference from FRAP Data: an Analysis Motivated by Pattern Formation in the \bionameDrosophila Wing Disc . . . . . . . . . . . . . . . . . . 448--497 D. L. Humphries and J. A. Grogan and E. A. Gaffney Mechanical Cell--Cell Communication in Fibrous Networks: The Importance of Network Geometry . . . . . . . . . . . . 498--524 Richard Kollár and Sebastian Novak Existence of Traveling Waves for the Generalized F--KPP Equation . . . . . . 525--559 Li Zhang and Fan Zhang and Shigui Ruan Linear and Weakly Nonlinear Stability Analyses of Turing Patterns for Diffusive Predator--Prey Systems in Freshwater Marsh Landscapes . . . . . . 560--593 Lakshmi Machineni and Anil Rajapantul and Vandana Nandamuri and Parag D. Pawar Influence of Nutrient Availability and Quorum Sensing on the Formation of Metabolically Inactive Microcolonies Within Structurally Heterogeneous Bacterial Biofilms: an Individual-Based $3$D Cellular Automata Model . . . . . . 594--618 Jeremy G. Sumner Dimensional Reduction for the General Markov Model on Phylogenetic Trees . . . 619--634 Timmy Ma and Natalia L. Komarova Mathematical Modeling of Learning from an Inconsistent Source: a Nonlinear Approach . . . . . . . . . . . . . . . . 635--661 Nathaniel J. Karst and John B. Geddes and Russell T. Carr Model Microvascular Networks Can Have Many Equilibria . . . . . . . . . . . . 662--681
Qi Zheng Toward a Unique Definition of the Mutation Rate . . . . . . . . . . . . . 683--692 Kenneth Y. Wertheim and Tiina Roose A Mathematical Model of Lymphangiogenesis in a Zebrafish Embryo 693--737 Noble J. Malunguza and Senelani D. Hove-Musekwa and Zindoga Mukandavire Assessing the Potential Impact of Hormonal-Based Contraceptives on HIV Transmission Dynamics Among Heterosexuals . . . . . . . . . . . . . 738--771 E. Penelope Holland and Julie Mugford and Rachelle N. Binny and Alex James How Herbivore Browsing Strategy Affects Whole-Plant Photosynthetic Capacity . . 772--787 Daljit Singh J. Dhillon and Michel C. Milinkovitch and Matthias Zwicker Bifurcation Analysis of Reaction Diffusion Systems on Arbitrary Surfaces 788--827 Nathan G. Marculis and Roger Lui and Mark A. Lewis Neutral Genetic Patterns for Expanding Populations with Nonoverlapping Generations . . . . . . . . . . . . . . 828--852 José Martins and Alberto Pinto Bistability of Evolutionary Stable Vaccination Strategies in the Reinfection SIRI Model . . . . . . . . . 853--883 Jia Zhao and Qi Wang Three-Dimensional Numerical Simulations of Biofilm Dynamics with Quorum Sensing in a Flow Cell . . . . . . . . . . . . . 884--919 Julien Baste and Christophe Paul and Ignasi Sau and Celine Scornavacca Efficient FPT Algorithms for (Strict) Compatibility of Unrooted Phylogenetic Trees . . . . . . . . . . . . . . . . . 920--938 Joe Collis and Anthony J. Connor and Marcin Paczkowski and Pavitra Kannan and Joe Pitt-Francis and Helen M. Byrne and Matthew E. Hubbard Bayesian Calibration, Validation and Uncertainty Quantification for Predictive Modelling of Tumour Growth: a Tutorial . . . . . . . . . . . . . . . . 939--974
Stefan Forcey and Logan Keefe and William Sands Split-Facets for Balanced Minimal Evolution Polytopes and the Permutoassociahedron . . . . . . . . . . 975--994 Daniel A. Korytowski and Hal Smith Permanence and Stability of a Kill the Winner Model in Marine Ecology . . . . . 995--1004 Annwesha Dutta and Debashish Chowdhury A Generalized Michaelis--Menten Equation in Protein Synthesis: Effects of Mis-Charged Cognate tRNA and Mis-Reading of Codon . . . . . . . . . . . . . . . . 1005--1027 Wang Jin and Esha T. Shah and Catherine J. Penington and Scott W. McCue and Philip K. Maini and Matthew J. Simpson Logistic Proliferation of Cells in Scratch Assays is Delayed . . . . . . . 1028--1050 Martin Golubitsky and Wenrui Hao and King-Yeung Lam and Yuan Lou Dimorphism by Singularity Theory in a Model for River Ecology . . . . . . . . 1051--1069 Fabio Della Rossa and Fabio Dercole and Cristina Vicini Extreme Selection Unifies Evolutionary Game Dynamics in Finite and Infinite Populations . . . . . . . . . . . . . . 1070--1099 Indrajit Ghosh and Tridip Sardar and Joydev Chattopadhyay A Mathematical Study to Control Visceral Leishmaniasis: an Application to South Sudan . . . . . . . . . . . . . . . . . 1100--1134 Leo van Iersel and Vincent Moulton and Eveline de Swart and Taoyang Wu Binets: Fundamental Building Blocks for Phylogenetic Networks . . . . . . . . . 1135--1154 Xiunan Wang and Xiao-Qiang Zhao A Malaria Transmission Model with Temperature-Dependent Incubation Period 1155--1182 Bashar Ibrahim A Mathematical Framework for Kinetochore-Driven Activation Feedback in the Mitotic Checkpoint . . . . . . . 1183--1200
Alexandra B. Hogan and Mary R. Myerscough A Model for the Spread of an Invasive Weed, Tradescantia fluminensis . . . . . 1201--1217 Vardayani Ratti and Peter G. Kevan and Hermann J. Eberl A Mathematical Model of Forager Loss in Honeybee Colonies Infested with Varroa destructor and the Acute Bee Paralysis Virus . . . . . . . . . . . . . . . . . 1218--1253 H. T. Banks and Kidist Bekele-Maxwell and R. A. Everett and Lyric Stephenson and Sijing Shao and Jon Morgenstern Dynamic Modeling of Problem Drinkers Undergoing Behavioral Treatment . . . . 1254--1273 Olga Vasilyeva Competition of Multiple Species in Advective Environments . . . . . . . . . 1274--1294 Vehpi Yildirim and Richard Bertram Calcium Oscillation Frequency-Sensitive Gene Regulation and Homeostatic Compensation in Pancreatic $ \beta $-Cells . . . . . . . . . . . . . . . . 1295--1324 Xiaoying Wang and Xingfu Zou Modeling the Fear Effect in Predator--Prey Interactions with Adaptive Avoidance of Predators . . . . 1325--1359 Cicik Alfiniyah and Martin A. Bees and A. Jamie Wood Pulse Generation in the Quorum Machinery of Pseudomonas aeruginosa . . . . . . . 1360--1389 Bo Deng Alternative Models to Hodgkin--Huxley Equations . . . . . . . . . . . . . . . 1390--1411 Fajar Adi-Kusumo The Dynamics of a SEIR--SIRC Antigenic Drift Influenza Model . . . . . . . . . 1412--1425 Kathleen P. Wilkie and Philip Hahnfeldt Modeling the Dichotomy of the Immune Response to Cancer: Cytotoxic Effects and Tumor-Promoting Inflammation . . . . 1426--1448
Thomas J. Snowden and Piet H. van der Graaf and Marcus J. Tindall Methods of Model Reduction for Large-Scale Biological Systems: a Survey of Current Methods and Trends . . . . . 1449--1486 Elisabeth O. Bangsgaard and Poul G. Hjorth and Mette S. Olufsen and Jesper Mehlsen and Johnny T. Ottesen Integrated Inflammatory Stress (ITIS) Model . . . . . . . . . . . . . . . . . 1487--1509 Michael H. Cortez and Swati Patel The Effects of Predator Evolution and Genetic Variation on Predator--Prey Population-Level Dynamics . . . . . . . 1510--1538 Brian Ingalls and Maya Mincheva and Marc R. Roussel Parametric Sensitivity Analysis of Oscillatory Delay Systems with an Application to Gene Regulation . . . . . 1539--1563 Anna K. Miller and Karl Munger and Frederick R. Adler A Mathematical Model of Cell Cycle Dysregulation Due to Human Papillomavirus Infection . . . . . . . . 1564--1585 M. I. Betti and L. M. Wahl and M. Zamir Reproduction Number and Asymptotic Stability for the Dynamics of a Honey Bee Colony with Continuous Age Structure 1586--1611 Mustafa Erdem and Muntaser Safan and Carlos Castillo-Chavez Mathematical Analysis of an SIQR Influenza Model with Imperfect Quarantine . . . . . . . . . . . . . . . 1612--1636 Roberta Regina Delboni and Hyun Mo Yang Mathematical Model of Interaction Between Bacteriocin-Producing Lactic Acid Bacteria and \bionameListeria. Part 1: Steady States and Thresholds . . . . 1637--1661 Michael Marcondes de Freitas and Carsten Wiuf and Elisenda Feliu Intermediates and Generic Convergence to Equilibria . . . . . . . . . . . . . . . 1662--1686 Tom Britton and David Juher and Joan Saldaña Erratum to: a Network Epidemic Model with Preventive Rewiring: Comparative Analysis of the Initial Phase . . . . . 1687--1689
S. Catozzi and J.-A. Sepulchre A Discrete Dynamical System Approach to Pathway Activation Profiles of Signaling Cascades . . . . . . . . . . . . . . . . 1691--1735 Asim Timalsina and Jianjun Paul Tian and Jin Wang Mathematical and Computational Modeling for Tumor Virotherapy with Mediated Immunity . . . . . . . . . . . . . . . . 1736--1758 Elena Braverman and Daniel Franco Stabilization of Structured Populations via Vector Target-Oriented Control . . . 1759--1777 Andy Jenkins and Matthew Macauley Bistability and Asynchrony in a Boolean Model of the l-arabinose Operon in \bionameEscherichia coli . . . . . . . . 1778--1795 Elena Fimmel and Christian J. Michel and Lutz Strüngmann Strong Comma-Free Codes in Genetic Information . . . . . . . . . . . . . . 1796--1819 Julia Pulwicki and David Hobill The Dynamics of Root Growth: a Geometric Model . . . . . . . . . . . . . . . . . 1820--1845 Christopher Mitchell and Christopher Kribs A Comparison of Methods for Calculating the Basic Reproductive Number for Periodic Epidemic Systems . . . . . . . 1846--1869 Karen M. Hampson and Matthew P. Cufflin and Edward A. H. Mallen Sensitivity of Chaos Measures in Detecting Stress in the Focusing Control Mechanism of the Short-Sighted Eye . . . 1870--1887 Alexander P. Browning and Scott W. McCue and Matthew J. Simpson A Bayesian Computational Approach to Explore the Optimal Duration of a Cell Proliferation Assay . . . . . . . . . . 1888--1906 Sara L. Loo and Matthew H. Chan and Kristen Hawkes and Peter S. Kim Further Mathematical Modelling of Mating Sex Ratios & Male Strategies with Special Relevance to Human Life History . . . . 1907--1922
Cole Zmurchok and Tim Small and Michael J. Ward and Leah Edelstein-Keshet Application of Quasi--Steady-State Methods to Nonlinear Models of Intracellular Transport by Molecular Motors . . . . . . . . . . . . . . . . . 1923--1978 Junehyuk Lee and Frederick R. Adler and Peter S. Kim A Mathematical Model for the Macrophage Response to Respiratory Viral Infection in Normal and Asthmatic Conditions . . . 1979--1998 Milliward Maliyoni and Faraimunashe Chirove and Holly D. Gaff and Keshlan S. Govinder A Stochastic Tick-Borne Disease Model: Exploring the Probability of Pathogen Persistence . . . . . . . . . . . . . . 1999--2021 P. Gambette and K. T. Huber and G. E. Scholz Uprooted Phylogenetic Networks . . . . . 2022--2048 P. Magal and A. Noussair and J. Pasquier and P. Zongo and F. Le Foll A Model for Transfer of P-Glycoproteins in MCF-7 Breast Cancer Cell Line with Multiple Transfer Rules . . . . . . . . 2049--2067 Maria Gaivão and Francisco Dionisio and Erida Gjini Transmission Fitness in Co-colonization and the Persistence of Bacterial Pathogens . . . . . . . . . . . . . . . 2068--2087 Ingemar Nåsell An Alternative to Moment Closure . . . . 2088--2108 Chayu Yang and Xueying Wang and Daozhou Gao and Jin Wang Impact of Awareness Programs on Cholera Dynamics: Two Modeling Approaches . . . 2109--2131 Matthew H. Chan and Kristen Hawkes and Peter S. Kim Modelling the Evolution of Traits in a Two-Sex Population, with an Application to Grandmothering . . . . . . . . . . . 2132--2148 Xiaojing Wang and Yangyang Shi and Zhilan Feng and Jingan Cui Evaluations of Interventions Using Mathematical Models with Exponential and Non-exponential Distributions for Disease Stages: The Case of Ebola . . . 2149--2173
Frank M. Hilker and Marta Paliga and Ezio Venturino Diseased Social Predators . . . . . . . 2175--2196 K. Minors and J. H. P. Dawes Invasions Slow Down or Collapse in the Presence of Reactive Boundaries . . . . 2197--2214 Ryan M. Evans and David A. Edwards Transport Effects on Multiple-Component Reactions in Optical Biosensors . . . . 2215--2241 Angus McLure and Archie C. A. Clements and Martyn Kirk and Kathryn Glass Healthcare-Associated Clostridium difficile Infections are Sustained by Disease from the Community . . . . . . . 2242--2257 Angela M. Jarrett and N. G. Cogan and M. Y. Hussaini Combining Two Methods of Global Sensitivity Analysis to Investigate MRSA Nasal Carriage Model . . . . . . . . . . 2258--2272 Roberta Regina Delboni and Hyun Mo Yang Mathematical Model of Interaction Between Bacteriocin-Producing Lactic Acid Bacteria and \bionameListeria. Part 2: Bifurcations and Applications . . . . 2273--2301 Lawrence Kurowski and Andrew L. Krause and Hanako Mizuguchi and Peter Grindrod and Robert A. Van Gorder Two-Species Migration and Clustering in Two-Dimensional Domains . . . . . . . . 2302--2333 Gilles Didier Time-Dependent-Asymmetric-Linear-Parsimonious Ancestral State Reconstruction 2334--2355 Mathieu Leroy-Lerêtre and Giacomo Dimarco and Martine Cazales and Marie-Laure Boizeau and Bernard Ducommun and Valérie Lobjois and Pierre Degond Are Tumor Cell Lineages Solely Shaped by Mechanical Forces? . . . . . . . . . . . 2356--2393 Matthew Becker and Doron Levy Modeling the Transfer of Drug Resistance in Solid Tumors . . . . . . . . . . . . 2394--2412
Mike Mesterton-Gibbons and Yao Dai and Marl\`ene Goubault and Ian C. W. Hardy Volatile Chemical Emission as a Weapon of Rearguard Action: a Game-Theoretic Model of Contest Behavior . . . . . . . 2413--2449 Leila Shafaghati and Zahra Razaghi-Moghadam and Javad Mohammadnejad A Systems Biology Approach to Understanding Alcoholic Liver Disease Molecular Mechanism: The Development of Static and Dynamic Models . . . . . . . 2450--2473 D. Fong and L. J. Cummings Mathematical Modeling of Ischemia--Reperfusion Injury and Postconditioning Therapy . . . . . . . . 2474--2511 Aurélie Edwards and Anita T. Layton Cell Volume Regulation in the Proximal Tubule of Rat Kidney . . . . . . . . . . 2512--2533 Michael Reed and Janet Best and Martin Golubitsky and Ian Stewart and H. Frederik Nijhout Analysis of Homeostatic Mechanisms in Biochemical Networks . . . . . . . . . . 2534--2557 Josef Dolejs Modeling Human Mortality from All Diseases in the Five Most Populated Countries of the European Union . . . . 2558--2598 Gaoyang Fan and Paul C. Bressloff Population Model of Quorum Sensing with Multiple Parallel Pathways . . . . . . . 2599--2626 Erica M. Rutter and H. T. Banks and Gerald A. LeBlanc and Kevin B. Flores Continuous Structured Population Models for \bionameDaphnia magna . . . . . . . 2627--2648 Ana-Maria Croicu and Angela M. Jarrett and N. G. Cogan and M. Yousuff Hussaini Short-Term Antiretroviral Treatment Recommendations Based on Sensitivity Analysis of a Mathematical Model for HIV Infection of CD4$^+$T Cells . . . . . . 2649--2671 Lina Meinecke Multiscale Modeling of Diffusion in a Crowded Environment . . . . . . . . . . 2672--2695 Duan Chen Fractional Poisson--Nernst--Planck Model for Ion Channels I: Basic Formulations and Algorithms . . . . . . . . . . . . . 2696--2726 Carles Barril and \`Angel Calsina and Jordi Ripoll On the Reproduction Number of a Gut Microbiota Model . . . . . . . . . . . . 2727--2746 Glenn Ledder Scaling for Dynamical Systems in Biology 2747--2772
Gerardo Severino and Francesco Giannino and Fabrizio Cartení and Stefano Mazzoleni and Daniel M. Tartakovsky Effects of Hydraulic Soil Properties on Vegetation Pattern Formation in Sloping Landscapes . . . . . . . . . . . . . . . 2773--2784 Samuel David Keyes and Konstantinos C. Zygalakis and Tiina Roose An Explicit Structural Model of Root Hair and Soil Interactions Parameterised by Synchrotron X-ray Computed Tomography 2785--2813 M. R. Stapf and R. J. Braun and P. E. King-Smith Duplex Tear Film Evaporation Analysis 2814--2846 Esteban Vargas Bernal and Camilo Sanabria Malagon Modeling Sexual Selection in Túngara Frog and Rationality of Mate Choice . . . . . 2847--2864 Lina Herbst and Mareike Fischer Ancestral Sequence Reconstruction with Maximum Parsimony . . . . . . . . . . . 2865--2886 Evan Milliken The Probability of Extinction of Infectious Salmon Anemia Virus in One and Two Patches . . . . . . . . . . . . 2887--2904 Christian A. Yates and Matthew J. Ford and Richard L. Mort A Multi-stage Representation of Cell Proliferation as a Markov Process . . . 2905--2928 Adrien Mazoyer Time Inhomogeneous Mutation Models with Birth Date Dependence . . . . . . . . . 2929--2953 Yu Jin and Frithjof Lutscher and Yuan Pei Meandering Rivers: How Important is Lateral Variability for Species Persistence? . . . . . . . . . . . . . . 2954--2985 Heyrim Cho and Doron Levy Modeling the Dynamics of Heterogeneity of Solid Tumors in Response to Chemotherapy . . . . . . . . . . . . . . 2986--3012
Kelin Xia and Zhiming Li and Lin Mu Multiscale Persistent Functions for Biomolecular Structure Characterization 1--31 Paul Flondor and Mircea Olteanu and Radu \cStefan Qualitative Analysis of an ODE Model of a Class of Enzymatic Reactions . . . . . 32--45 James Moore and Hasan Ahmed and Jonathan Jia and Rama Akondy and Rafi Ahmed and Rustom Antia What Controls the Acute Viral Infection Following Yellow Fever Vaccination? . . 46--63 Elizabeth S. Allman and James H. Degnan and John A. Rhodes Split Probabilities and Species Tree Inference Under the Multispecies Coalescent Model . . . . . . . . . . . . 64--103 Ján Elia\vs Trend to Equilibrium for a Reaction--Diffusion System Modelling Reversible Enzyme Reaction . . . . . . . 104--129 L. M. Bilinsky and S. M. Baer Slow Passage Through a Hopf Bifurcation in Excitable Nerve Cables: Spatial Delays and Spatial Memory Effects . . . 130--150 Irina Kareva and Georgy Karev From Experiment to Theory: What Can We Learn from Growth Curves? . . . . . . . 151--174 Moritz P. Thon and Hugh Z. Ford and Michael W. Gee and Mary R. Myerscough A Quantitative Model of Early Atherosclerotic Plaques Parameterized Using In Vitro Experiments . . . . . . . 175--214 Daisuke Takagi and Daniel K. Hartline Directional Hydrodynamic Sensing by Free-Swimming Organisms . . . . . . . . 215--227 Ozgur Aydogmus Phase Transitions in a Logistic Metapopulation Model with Nonlocal Interactions . . . . . . . . . . . . . . 228--253
Elías Vera-Sigüenza and Marcelo A. Catalán and Gaspar Peña-Münzenmayer and James E. Melvin and James Sneyd A Mathematical Model Supports a Key Role for Ae4 (Slc4a9) in Salivary Gland Secretion . . . . . . . . . . . . . . . 255--282 Farinaz Forouzannia and Heiko Enderling and Mohammad Kohandel Mathematical Modeling of the Effects of Tumor Heterogeneity on the Efficiency of Radiation Treatment Schedule . . . . . . 283--293 Ismail Belgacem and Stefano Casagranda and Edith Grac and Delphine Ropers and Jean-Luc Gouzé Reduction and Stability Analysis of a Transcription--Translation Model of RNA Polymerase . . . . . . . . . . . . . . . 294--318 U. U. Jamilov and A. Yu. Khamraev and M. Ladra On a Volterra Cubic Stochastic Operator 319--334 Axel A. Almet and Barry D. Hughes and Kerry A. Landman A Multicellular Model of Intestinal Crypt Buckling and Fission . . . . . . . 335--359 Svetoslav Nikolov and Guido Santos and Olaf Wolkenhauer and Julio Vera Model-Based Phenotypic Signatures Governing the Dynamics of the Stem and Semi-differentiated Cell Populations in Dysplastic Colonic Crypts . . . . . . . 360--384 Qiang-Hui Guo and Lisa H. Sun Combinatorics of Contacts in Protein Contact Maps . . . . . . . . . . . . . . 385--403 A. Francis and K. T. Huber and V. Moulton Tree-Based Unrooted Phylogenetic Networks . . . . . . . . . . . . . . . . 404--416 Eduardo Liz A Global Picture of the Gamma--Ricker Map: a Flexible Discrete-Time Model with Factors of Positive and Negative Density Dependence . . . . . . . . . . . . . . . 417--434 Cole Zmurchok and Tim Small and Michael J. Ward and Leah Edelstein-Keshet Correction to: Application of Quasi-Steady-State Methods to Nonlinear Models of Intracellular Transport by Molecular Motors . . . . . . . . . . . . 435--435
A. Nwankwo and D. Okuonghae Mathematical Analysis of the Transmission Dynamics of HIV Syphilis Co-infection in the Presence of Treatment for Syphilis . . . . . . . . . 437--492 Volkmar Liebscher New Gromov--Inspired Metrics on Phylogenetic Tree Space . . . . . . . . 493--518 Leonid Hanin and Jason Rose Suppression of Metastasis by Primary Tumor and Acceleration of Metastasis Following Primary Tumor Resection: a Natural Law? . . . . . . . . . . . . . . 519--539 Wei Wang and Tongqian Zhang Caspase-$1$-Mediated Pyroptosis of the Predominance for Driving CD$_4^+$ T Cells Death: a Nonlocal Spatial Mathematical Model . . . . . . . . . . . 540--582 Seunggyu Lee Mathematical Model of Contractile Ring-Driven Cytokinesis in a Three-Dimensional Domain . . . . . . . . 583--597 Wencel Valega-Mackenzie and Karen R. Ríos-Soto Can Vaccination Save a Zika Virus Epidemic? . . . . . . . . . . . . . . . 598--625 Maitri Verma and A. K. Misra Modeling the Effect of Prey Refuge on a Ratio-Dependent Predator--Prey System with the Allee Effect . . . . . . . . . 626--656 Sarder Mohammed Asaduzzaman and Junling Ma and P. van den Driessche Estimation of Cross-Immunity Between Drifted Strains of Influenza A/H3N2 . . 657--669 Josh Hiller and James Keesling Asymptotic Relative Risk Results from a Simplified Armitage and Doll Model of Carcinogenesis . . . . . . . . . . . . . 670--686 Joel Nishimura and Rebecca Smith and Kathleen Jensen and Gerald Ankley and Karen Watanabe Estimating Intermittent Individual Spawning Behavior via Disaggregating Group Data . . . . . . . . . . . . . . . 687--700
Arran Hodgkinson and Mark A. J. Chaplain and Pia Domschke and Dumitru Trucu Computational Approaches and Analysis for a Spatio--Structural-Temporal Invasive Carcinoma Model . . . . . . . . 701--737 Oleksii M. Matsiaka and Catherine J. Penington and Ruth E. Baker and Matthew J. Simpson Discrete and Continuum Approximations for Collective Cell Migration in a Scratch Assay with Cell Size Dynamics 738--757 Matthew P. Edgington and Marcus J. Tindall Mathematical Analysis of the \bionameEscherichia coli Chemotaxis Signalling Pathway . . . . . . . . . . . 758--787 Bismark Oduro and Mario J. Grijalva and Winfried Just Models of Disease Vector Control: When Can Aggressive Initial Intervention Lower Long-Term Cost? . . . . . . . . . 788--824 E. Iboi and K. Okuneye and O. Sharomi and A. B. Gumel Comments on ``A Mathematical Study to Control Visceral Leishmaniasis: an Application to South Sudan'' . . . . . . 825--839 Juping Zhang and Chris Cosner and Huaiping Zhu Two-patch model for the spread of West Nile virus . . . . . . . . . . . . . . . 840--863 Lina Herbst and Mareike Fischer On the Accuracy of Ancestral Sequence Reconstruction for Ultrametric Trees with Parsimony . . . . . . . . . . . . . 864--879 Minu R. Pilvankar and Michele A. Higgins and Ashlee N. Ford Versypt Mathematical Model for Glucose Dependence of the Local Renin--Angiotensin System in Podocytes 880--905 S. Pal and S. Ghorai and M. Banerjee Analysis of a Prey--Predator Model with Non-local Interaction in the Prey Population . . . . . . . . . . . . . . . 906--925 Barbara Bennie and Eric Alan Eager and James P. Peirce and Gregory J. Sandland Using a Summer REU to Help Develop the Next Generation of Mathematical Ecologists . . . . . . . . . . . . . . . 926--944
Alexander R. A. Anderson and Philip K. Maini Mathematical Oncology . . . . . . . . . 945--953 Curtis A. Gravenmier and Miriam Siddique and Robert A. Gatenby Adaptation to Stochastic Temporal Variations in Intratumoral Blood Flow: The Warburg Effect as a Bet Hedging Strategy . . . . . . . . . . . . . . . . 954--970 Harsh Jain and Trachette Jackson Mathematical Modeling of Cellular Cross-Talk Between Endothelial and Tumor Cells Highlights Counterintuitive Effects of VEGF-Targeted Therapies . . . 971--1016 Chiara Giverso and Alessandro Arduino and Luigi Preziosi How Nucleus Mechanics and ECM Microstructure Influence the Invasion of Single Cells and Multicellular Aggregates . . . . . . . . . . . . . . . 1017--1045 Arturo Araujo and Leah M. Cook and Conor C. Lynch and David Basanta Size Matters: Metastatic Cluster Size and Stromal Recruitment in the Establishment of Successful Prostate Cancer to Bone Metastases . . . . . . . 1046--1058 Anne Talkington and Claudia Dantoin and Rick Durrett Ordinary Differential Equation Models for Adoptive Immunotherapy . . . . . . . 1059--1083 Apollos Besse and Geoffrey D. Clapp and Samuel Bernard and Franck E. Nicolini and Doron Levy and Thomas Lepoutre Stability Analysis of a Model of Interaction Between the Immune System and Cancer Cells in Chronic Myelogenous Leukemia . . . . . . . . . . . . . . . . 1084--1110 Avner Friedman and Wenrui Hao The Role of Exosomes in Pancreatic Cancer Microenvironment . . . . . . . . 1111--1133 Stefan Hoehme and François Bertaux and William Weens and Bettina Grasl-Kraupp and Jan G. Hengstler and Dirk Drasdo Model Prediction and Validation of an Order Mechanism Controlling the Spatiotemporal Phenotype of Early Hepatocellular Carcinoma . . . . . . . . 1134--1171 Andrijana Burazin and Corina S. Drapaca and Giuseppe Tenti and Siv Sivaloganathan A Poroelasticity Theory Approach to Study the Mechanisms Leading to Elevated Interstitial Fluid Pressure in Solid Tumours . . . . . . . . . . . . . . . . 1172--1194 Jan Poleszczuk and Rachel Walker and Eduardo G. Moros and Kujtim Latifi and Jimmy J. Caudell and Heiko Enderling Predicting Patient-Specific Radiotherapy Protocols Based on Mathematical Model Choice for Proliferation Saturation Index . . . . . . . . . . . . . . . . . 1195--1206 Thomas D. Lewin and Philip K. Maini and Eduardo G. Moros and Heiko Enderling and Helen M. Byrne The Evolution of Tumour Composition During Fractionated Radiotherapy: Implications for Outcome . . . . . . . . 1207--1235 Katherine S. Williams and Timothy W. Secomb and Ardith W. El-Kareh Additive Damage Models for Cellular Pharmacodynamics of Radiation--Chemotherapy Combinations . . 1236--1258 Amanda Swan and Thomas Hillen and John C. Bowman and Albert D. Murtha A Patient-Specific Anisotropic Diffusion Model for Brain Tumour Spread . . . . . 1259--1291 Susan Christine Massey and Russell C. Rockne and Andrea Hawkins-Daarud and Jill Gallaher and Alexander R. A. Anderson and Peter Canoll and Kristin R. Swanson Simulating PDGF-Driven Glioma Growth and Invasion in an Anatomically Accurate Brain Domain . . . . . . . . . . . . . . 1292--1309 Michelle L. Wynn and Megan Egbert and Nikita Consul and Jungsoo Chang and Zhi-Fen Wu and Sofia D. Meravjer and Santiago Schnell Inferring Intracellular Signal Transduction Circuitry from Molecular Perturbation Experiments . . . . . . . . 1310--1344 Natalia L. Komarova and P. van den Driessche Stability of Control Networks in Autonomous Homeostatic Regulation of Stem Cell Lineages . . . . . . . . . . . 1345--1365 Zuzanna Szyma\'nska and Maciej Cytowski and Elaine Mitchell and Cicely K. Macnamara and Mark A. J. Chaplain Computational Modelling of Cancer Development and Growth: Modelling at Multiple Scales and Multiscale Modelling 1366--1403 Huaming Yan and Anna Konstorum and John S. Lowengrub Three-Dimensional Spatiotemporal Modeling of Colon Cancer Organoids Reveals that Multimodal Control of Stem Cell Self-Renewal is a Critical Determinant of Size and Shape in Early Stages of Tumor Growth . . . . . . . . . 1404--1433
Tanvi V. Joshi and Daniele Avitabile and Markus R. Owen Capturing the Dynamics of a Hybrid Multiscale Cancer Model with a Continuum Model . . . . . . . . . . . . . . . . . 1435--1475 Garrett Otto and Sharon Bewick and Bingtuan Li and William F. Fagan How Phenological Variation Affects Species Spreading Speeds . . . . . . . . 1476--1513 Thomas J. X. Li and Christian M. Reidys The Rainbow Spectrum of RNA Secondary Structures . . . . . . . . . . . . . . . 1514--1538 Fiona R. Macfarlane and Tommaso Lorenzi and Mark A. J. Chaplain Modelling the Immune Response to Cancer: an Individual-Based Approach Accounting for the Difference in Movement Between Inactive and Activated T Cells . . . . . 1539--1562 Stefan Grünewald and Yangjing Long and Yaokun Wu Reconstructing Unrooted Phylogenetic Trees from Symbolic Ternary Metrics . . 1563--1577 John Lagergren and Amanda Reeder and Franz Hamilton and Ralph C. Smith and Kevin B. Flores Forecasting and Uncertainty Quantification Using a Hybrid of Mechanistic and Non-mechanistic Models for an Age-Structured Population Model 1578--1595 Irina Bashkirtseva and Lev Ryashko Stochastic Sensitivity Analysis of Noise-Induced Extinction in the Ricker Model with Delay and Allee Effect . . . 1596--1614 Adrianne L. Jenner and Chae-Ok Yun and Peter S. Kim and Adelle C. F. Coster Mathematical Modelling of the Interaction Between Cancer Cells and an Oncolytic Virus: Insights into the Effects of Treatment Protocols . . . . . 1615--1629 Suzanne M. O'Regan and Danielle L. Burton How Stochasticity Influences Leading Indicators of Critical Transitions . . . 1630--1654 N. Rodríguez and G. Malanson Plant Dynamics, Birth--Jump Processes, and Sharp Traveling Waves . . . . . . . 1655--1687
Joseba Dalmau Asymptotic Behavior of Eigen's Quasispecies Model . . . . . . . . . . . 1689--1712 Chiu-Ju Lin and Lin Wang and Gail S. K. Wolkowicz An Alternative Formulation for a Distributed Delayed Logistic Equation 1713--1735 Maryam Ghasemi and Burkhard A. Hense and Hermann J. Eberl and Christina Kuttler Simulation-Based Exploration of Quorum Sensing Triggered Resistance of Biofilms to Antibiotics . . . . . . . . . . . . . 1736--1775 Nara Yoon and Robert Vander Velde and Andriy Marusyk and Jacob G. Scott Optimal Therapy Scheduling Based on a Pair of Collaterally Sensitive Drugs . . 1776--1809 Derdei Bichara and Abderrahman Iggidr and Laura Smith Multi-stage Vector-Borne Zoonoses Models: a Global Analysis . . . . . . . 1810--1848 Serena Dipierro and Enrico Valdinoci A Simple Mathematical Model Inspired by the Purkinje Cells: From Delayed Travelling Waves to Fractional Diffusion 1849--1870 Pavol Bokes and Yen Ting Lin and Abhyudai Singh High Cooperativity in Negative Feedback can Amplify Noisy Gene Expression . . . 1871--1899 Arran Hodgkinson and Gilles Uzé and Ovidiu Radulescu and Dumitru Trucu Signal Propagation in Sensing and Reciprocating Cellular Systems with Spatial and Structural Heterogeneity . . 1900--1936 Alex P. Farrell and James P. Collins and Amy L. Greer and Horst R. Thieme Times from Infection to Disease-Induced Death and their Influence on Final Population Sizes After Epidemic Outbreaks . . . . . . . . . . . . . . . 1937--1961 Xiunan Wang and Xingfu Zou Threshold Dynamics of a Temperature-Dependent Stage-Structured Mosquito Population Model with Nested Delays . . . . . . . . . . . . . . . . . 1962--1987
Pierre Chelle and Claire Morin and Aurélie Montmartin and Mich\`ele Piot and Michel Cournil and Brigitte Tardy-Poncet Evaluation and Calibration of In Silico Models of Thrombin Generation Using Experimental Data from Healthy and Haemophilic Subjects . . . . . . . . . . 1989--2025 Yixuan He and Anita Kodali and Dorothy I. Wallace Predictive Modeling of Neuroblastoma Growth Dynamics in Xenograft Model After Bevacizumab Anti--VEGF Therapy . . . . . 2026--2048 Shanshan Chen and Michael Small and Yizhou Tao and Xinchu Fu Transmission Dynamics of an SIS Model with Age Structure on Heterogeneous Networks . . . . . . . . . . . . . . . . 2049--2087 J. Darby Smith and Scott A. McKinley Assessing the Impact of Electrostatic Drag on Processive Molecular Motor Transport . . . . . . . . . . . . . . . 2088--2123 Bin Huang and Ning Zhong and Lili Xia and Guiping Yu and Hongbao Cao Sparse Representation-Based Patient-Specific Diagnosis and Treatment for Esophageal Squamous Cell Carcinoma 2124--2136 Katharina T. Huber and Vincent Moulton and Charles Semple and Taoyang Wu Quarnet Inference Rules for Level-1 Networks . . . . . . . . . . . . . . . . 2137--2153 Konstantin Klemm and Anita Mehta and Peter F. Stadler Cover-Encodings of Fitness Landscapes 2154--2176 Remie Janssen and Mark Jones and Péter L. Erd\Hos and Leo van Iersel and Celine Scornavacca Exploring the Tiers of Rooted Phylogenetic Network Space Using Tail Moves . . . . . . . . . . . . . . . . . 2177--2208 Necibe Tuncer and Maia Marctheva and Brian LaBarre and Sabrina Payoute Structural and Practical Identifiability Analysis of Zika Epidemiological Models 2209--2241 Lester Caudill and Fiona Lynch A Mathematical Model of the Inflammatory Response to Pathogen Challenge . . . . . 2242--2271
Ali Mahdipour-Shirayeh and Leili Shahriyari Modeling Cell Dynamics in Colon and Intestinal Crypts: The Significance of Central Stem Cells in Tumorigenesis . . 2273--2305 Elisa Tonello and Matthew D. Johnston Network Translation and Steady-State Properties of Chemical Reaction Systems 2306--2337 Charles Semple and Jack Simpson When is a Phylogenetic Network Simply an Amalgamation of Two Trees? . . . . . . . 2338--2348 Chloé Pasin and François Dufour and Laura Villain and Huilong Zhang and Rodolphe Thiébaut Controlling IL-7 Injections in HIV-Infected Patients . . . . . . . . . 2349--2377 Raul Abreu de Assis and Luca Pietro Casacci and Simona Bonelli and Francesca Barbero and Luciana Mafalda Elias de Assis and Ezio Venturino Effects of Host Interspecific Interaction in the Maculinea--Myrmica Parasite--Host System . . . . . . . . . 2378--2407 Yuanshi Wang and Hong Wu and Shikun Wang and Wen Shi Dynamics of Intraguild Predation Systems with Intraspecific Competition . . . . . 2408--2434 Longxing Qi and Meng Xue and Jing-an Cui and Qizhi Wang and Tianping Wang Schistosomiasis Transmission Model and its Control in Anhui Province . . . . . 2435--2451 M. H. Kabir and M. Mimura and J. C. Tsai Spreading Waves in a Farmers and Hunter-Gatherers Model of the Neolithic Transition in Europe . . . . . . . . . . 2452--2480 Julie Simons and Lisa Fauci A Model for the Acrosome Reaction in Mammalian Sperm . . . . . . . . . . . . 2481--2501 Hél\`ene Leman A Stochastic Model for Reproductive Isolation Under Asymmetrical Mating Preferences . . . . . . . . . . . . . . 2502--2525
Alexandru Hening and Dang H. Nguyen Persistence in Stochastic Lotka--Volterra Food Chains with Intraspecific Competition . . . . . . . 2527--2560 David F. Anderson and Daniele Cappelletti and Masanori Koyama and Thomas G. Kurtz Non-explosivity of Stochastically Modeled Reaction Networks that are Complex Balanced . . . . . . . . . . . . 2561--2579 Julia Kobe and Neil Pritchard and Ziaqueria Short and Igor V. Erovenko and Jan Rychtá\vr and Jonathan T. Rowell A Game-Theoretic Model of Cholera with Optimal Personal Protection Strategies 2580--2599 Vasiliki Bitsouni and Raluca Eftimie Non-local Parabolic and Hyperbolic Models for Cell Polarisation in Heterogeneous Cancer Cell Populations 2600--2632 Lan Zou and Jing Chen and Xiaomei Feng and Shigui Ruan Analysis of a Dengue Model with Vertical Transmission and Application to the 2014 Dengue Outbreak in Guangdong Province, China . . . . . . . . . . . . . . . . . 2633--2651 Corin Stratton and Allison Kolpas and Josh R. Auld Optimal Mating Strategies for Preferentially Outcrossing Simultaneous Hermaphrodites in the Presence of Predators . . . . . . . . . . . . . . . 2652--2668 J. M. Wentz and A. R. Mendenhall and D. M. Bortz Pattern Formation in the Longevity-Related Expression of Heat Shock Protein-16.2 in \bionameCaenorhabditis elegans . . . . . 2669--2697 Rosanna C. Barnard and Istvan Z. Kiss and Luc Berthouze and Joel C. Miller Edge-Based Compartmental Modelling of an SIR Epidemic on a Dual-Layer Static--Dynamic Multiplex Network with Tunable Clustering . . . . . . . . . . . 2698--2733 Alex Kasman The Duplexing of the Genetic Code and Sequence-Dependent DNA Geometry . . . . 2734--2760 Cinthia M. Tanaka and Joung-Hun Lee and Yoh Iwasa The Persistence of a Local Dialect When a National Standard Language is Present: an Evolutionary Dynamics Model of Cultural Diversity . . . . . . . . . . . 2761--2786 A. C. Fowler and T. Déirdre Hollingsworth Correction to: The Dynamics of \bionameAscaris lumbricoides Infections 2787--2787 Frank M. Hilker and Marta Paliaga and Ezio Venturino Correction to: Diseased Social Predators 2788--2788
N. Sfakianakis and A. Brunk Stability, Convergence, and Sensitivity Analysis of the FBLM and the Corresponding FEM . . . . . . . . . . . 2789--2827 Anudeep Surendran and Michael J. Plank and Matthew J. Simpson Spatial Moment Description of Birth--Death-Movement Processes Incorporating the Effects of Crowding and Obstacles . . . . . . . . . . . . . 2828--2855 \cStefan \cT\ualu and Ilya A. Morozov and Dinara Sobola and Pavel \vSkarvada Multifractal Characterization of Butterfly Wings Scales . . . . . . . . . 2856--2870 Damian Clancy Precise Estimates of Persistence Time for SIS Infections in Heterogeneous Populations . . . . . . . . . . . . . . 2871--2896 Pablo Amster and Carlos Alliera Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits . . 2897--2916 Majid Latif, Jr. and Elebeoba E. May A Multiscale Agent-Based Model for the Investigation of \bionameE. coli K12 Metabolic Response During Biofilm Formation . . . . . . . . . . . . . . . 2917--2956 Viggo Andreasen Epidemics in Competition: Partial Cross--Immunity . . . . . . . . . . . . 2957--2977 Fernando Saldaña and Ignacio Barradas Control Strategies in Multigroup Models: The Case of the Star Network Topology 2978--3001 Simon P. Pearce and Matthias Heil and Oliver E. Jensen and Gareth Wyn Jones and Andreas Prokop Curvature-Sensitive Kinesin Binding Can Explain Microtubule Ring Formation and Reveals Chaotic Dynamics in a Mathematical Model . . . . . . . . . . . 3002--3022 A. Rabinovitch and I. Aviram and Y. Biton and D. Braunstein Reentry as an Origin for Rotors . . . . 3023--3037 Sourav Kumar Sasmal and Indrajit Ghosh and Amit Huppert and Joydev Chattopadhyay Modeling the Spread of Zika Virus in a Stage-Structured Population: Effect of Sexual Transmission . . . . . . . . . . 3038--3067
Reinhard Laubenbacher and Alan Hastings Editorial . . . . . . . . . . . . . . . 3069--3070 Gary An The Crisis of Reproducibility, the Denominator Problem and the Scientific Role of Multi-scale Modeling . . . . . . 3071--3080 Pedro Mendes Reproducible Research Using Biomodels 3081--3087 David Gavaghan Problems with the Current Approach to the Dissemination of Computational Science Research and Its Implications for Research Integrity . . . . . . . . . 3088--3094 Santiago Schnell ``Reproducible'' Research in Mathematical Sciences Requires Changes in our Peer Review Culture and Modernization of our Current Publication Approach . . . . . . . . . . . . . . . . 3095--3105 S. Sugaya and V. M. Kenkre Analysis of Transmission of Infection in Epidemics: Confined Random Walkers in Dimensions Higher Than One . . . . . . . 3106--3126 Sha He and Sanyi Tang and Yanni Xiao and Robert A. Cheke Stochastic Modelling of Air Pollution Impacts on Respiratory Infection Risk 3127--3153 Justin Eilertsen and Santiago Schnell A Kinetic Analysis of Coupled (or Auxiliary) Enzyme Reactions . . . . . . 3154--3183 Manon Deville and Roberto Natalini and Clair Poignard A Continuum Mechanics Model of Enzyme-Based Tissue Degradation in Cancer Therapies . . . . . . . . . . . . 3184--3226 Sangeeta Bhatia and Pedro Feijão and Andrew R. Francis Position and Content Paradigms in Genome Rearrangements: The Wild and Crazy World of Permutations in Genomics . . . . . . 3227--3246
B. G. Fitzpatrick Issues in Reproducible Simulation Research . . . . . . . . . . . . . . . . 1--6 Louise A. Bowler and David J. Gavaghan and Gary R. Mirams and Jonathan P. Whiteley Representation of Multiple Cellular Phenotypes Within Tissue-Level Simulations of Cardiac Electrophysiology 7--38 L. Zhong and R. J. Braun and C. G. Begley and P. E. King-Smith Dynamics of Fluorescent Imaging for Rapid Tear Thinning . . . . . . . . . . 39--80 Eduard Campillo-Funollet and Chandrasekhar Venkataraman and Anotida Madzvamuse Bayesian Parameter Identification for Turing Systems on Stationary and Evolving Domains . . . . . . . . . . . . 81--104 Koyel Chakravarty and D. C. Dalal A Nonlinear Mathematical Model of Drug Delivery from Polymeric Matrix . . . . . 105--130 Shaimaa A. Azoz and Daniel Coombs Stochastic Dynamics of the Latently Infected Cell Reservoir During HIV Infection . . . . . . . . . . . . . . . 131--154 Alain R. Véron and Assis F. Martins Stochastic Mechanochemical Description of a Bioinspired Polymerization Process 155--192 Carrie A. Manore and Miranda I. Teboh-Ewungkem and Olivia Prosper and Angela Peace and Katharine Gurski and Zhilan Feng Intermittent Preventive Treatment (IPT): Its Role in Averting Disease-Induced Mortality in Children and in Promoting the Spread of Antimalarial Drug Resistance . . . . . . . . . . . . . . . 193--234 Ana-Maria Croicu An Optimal Control Model to Reduce and Eradicate Anthrax Disease in Herbivorous Animals . . . . . . . . . . . . . . . . 235--255 Sarah Kadelka and Brittany P. Boribong and Liwu Li and Stanca M. Ciupe Modeling the Bistable Dynamics of the Innate Immune System . . . . . . . . . . 256--276 E. Haspolat and B. Huard and M. Angelova Deterministic and Stochastic Models of \bionameArabidopsis thaliana Flowering 277--311
Marta Casanellas and John A. Rhodes Algebraic Methods in Phylogenetics . . . 313--315 Hector Baños and Nathaniel Bushek and Ruth Davidson and Elizabeth Gross and Pamela E. Harris and Robert Krone and Colby Long and Allen Stewart and Robert Walker Dimensions of Group-Based Phylogenetic Mixtures . . . . . . . . . . . . . . . . 316--336 Dimitra Kosta and Kaie Kubjas Maximum Likelihood Estimation of Symmetric Group-Based Models via Numerical Algebraic Geometry . . . . . . 337--360 Jeremy G. Sumner and Michael D. Woodhams Lie--Markov Models Derived from Finite Semigroups . . . . . . . . . . . . . . . 361--383 Filippo Disanto and Noah A. Rosenberg On the Number of Non-equivalent Ancestral Configurations for Matching Gene Trees and Species Trees . . . . . . 384--407 Colby Long and Laura Kubatko Identifiability and Reconstructibility of Species Phylogenies Under a Modified Coalescent . . . . . . . . . . . . . . . 408--430 Chris Durden and Seth Sullivant Identifiability of Phylogenetic Parameters from $k$-mer Data Under the Coalescent . . . . . . . . . . . . . . . 431--451 Jaehee Kim and Filippo Disanto and Naama M. Kopelman and Noah A. Rosenberg Mathematical and Simulation-Based Analysis of the Behavior of Admixed Taxa in the Neighbor-Joining Algorithm . . . 452--493 Hector Baños Identifying Species Network Features from Gene Tree Quartets Under the Coalescent Model . . . . . . . . . . . . 494--534 Venta Terauds and Jeremy Sumner Maximum Likelihood Estimates of Rearrangement Distance: Implementing a Representation-Theoretic Approach . . . 535--567 Ruriko Yoshida and Leon Zhang and Xu Zhang Tropical Principal Component Analysis and Its Application to Phylogenetics . . 568--597 Katharina T. Huber and Vincent Moulton and Mike Steel Phylogenetic Flexibility via Hall-Type Inequalities and Submodularity . . . . . 598--617 Kristina Wicke and Mareike Fischer On the Shapley Value of Unrooted Phylogenetic Trees . . . . . . . . . . . 618--638
C. D. Bayliss and C. Fallaize and R. Howitt and M. V. Tretyakov Mutation and Selection in Bacteria: Modelling and Calibration . . . . . . . 639--675 Alexander P. Browning and Parvathi Haridas and Matthew J. Simpson A Bayesian Sequential Learning Framework to Parameterise Continuum Models of Melanoma Invasion into Human Skin . . . 676--698 Elías Vera-Sigüenza and Nathan Pages and John Rugis and David I. Yule and James Sneyd A Mathematical Model of Fluid Transport in an Accurate Reconstruction of Parotid Acinar Cells . . . . . . . . . . . . . . 699--721 Stéphane Honoré and Florence Hubert and Magali Tournus and Diana White A Growth--Fragmentation Approach for Modeling Microtubule Dynamic Instability 722--758 Andrew L. Krause and Meredith A. Ellis and Robert A. Van Gorder Influence of Curvature, Growth, and Anisotropy on the Evolution of Turing Patterns on Growing Manifolds . . . . . 759--799 P. C. Bressloff and E. Levien Propagation of Extrinsic Fluctuations in Biochemical Birth--Death Processes . . . 800--829 Irene Balelli and Vuk Mili\vsi\'c and Gilles Wainrib Multi-type Galton--Watson Processes with Affinity-Dependent Selection Applied to Antibody Affinity Maturation . . . . . . 830--868 Fred Brauer The Final Size of a Serious Epidemic . . 869--877 Marc Manceau and Amaury Lambert The Species Problem from the Modeler's Point of View . . . . . . . . . . . . . 878--898 Farzad Peyravi and Alimohammad Latif and Seyed Mohammad Moshtaghioun A Composite Approach to Protein Tertiary Structure Prediction: Hidden Markov Model Based on Lattice . . . . . . . . . 899--918 Pranas Katauskis and Feliksas Ivanauskas and Aidas Alaburda The ``Memory'' Effect in a Chain of Biochemical Reactions with a Positive Feedback is Enhanced by Substrate Saturation Described by Michaelis--Menten Kinetics . . . . . . . 919--935 A. Francis and K. T. Huber and V. Moulton Correction to: Tree-Based Unrooted Phylogenetic Networks . . . . . . . . . 936--937
Jicai Huang and Shigui Ruan and Yaqin Shu and Xiao Wu Modeling the Transmission Dynamics of Rabies for Dog, Chinese Ferret Badger and Human Interactions in Zhejiang Province, China . . . . . . . . . . . . 939--962 Aili Wang and Yanni Xiao and Robert Smith Multiple Equilibria in a Non-smooth Epidemic Model with Medical-Resource Constraints . . . . . . . . . . . . . . 963--994 Andrew M. Bate and Frank M. Hilker Preytaxis and Travelling Waves in an Eco-epidemiological Model . . . . . . . 995--1030 Luiza Guimarães Fabreti and Diogo Castro and Bruno Gorzoni and Luiz Mario Ramos Janini and Fernando Antoneli Stochastic Modeling and Simulation of Viral Evolution . . . . . . . . . . . . 1031--1069 Yuri Bakhtin Universal Statistics of Incubation Periods and Other Detection Times via Diffusion Models . . . . . . . . . . . . 1070--1088 Elisenda Feliu and Martin Helmer Multistationarity and Bistability for Fewnomial Chemical Reaction Networks . . 1089--1121 Jonathan Machta and Julie C. Blackwood and Andrew Noble and Andrew M. Liebhold and Alan Hastings A Hybrid Model for the Population Dynamics of Periodical Cicadas . . . . . 1122--1142 Matthew D. Johnston and Stefan Müller and Casian Pantea A Deficiency-Based Approach to Parametrizing Positive Equilibria of Biochemical Reaction Systems . . . . . . 1143--1172 Michelle Galla and Kristina Wicke and Mareike Fischer Statistical Inconsistency of Maximum Parsimony for $k$-Tuple-Site Data . . . 1173--1200 Kenneth Y. Wertheim and Tiina Roose Can VEGFC Form Turing Patterns in the Zebrafish Embryo? . . . . . . . . . . . 1201--1237 Jared Barber and Luoding Zhu Two-dimensional Finite Element Model of Breast Cancer Cell Motion Through a Microfluidic Channel . . . . . . . . . . 1238--1259
German Enciso and Jinsu Kim Embracing Noise in Chemical Reaction Networks . . . . . . . . . . . . . . . . 1261--1267 Bin Xu and Hye-Won Kang and Alexandra Jilkine Comparison of Deterministic and Stochastic Regime in a Model for Cdc42 Oscillations in Fission Yeast . . . . . 1268--1302 Hye-Won Kang and Wasiur R. KhudaBukhsh and Heinz Koeppl and Grzegorz A. Rempa\la Quasi-Steady-State Approximations Derived from the Stochastic Model of Enzyme Kinetics . . . . . . . . . . . . 1303--1336 Ali Mai and Guowei Sun and Lin Wang Impacts of the Dispersal Delay on the Stability of the Coexistence Equilibrium of a Two-Patch Predator--Prey Model with Random Predator Dispersal . . . . . . . 1337--1351 Lale Asik and Angela Peace Dynamics of a Producer--Grazer Model Incorporating the Effects of Phosphorus Loading on Grazer's Growth . . . . . . . 1352--1368 Joice Chaves Marques and Horst Malchow and Luiz Alberto Díaz Rodrigues and Diomar Cristina Mistro The Effects of Stochasticity on Pattern Formation in a Space- and Time--Discrete Predator--Prey System with Strong Allee Effect in the Prey . . . . . . . . . . . 1369--1393 Nathan Pages and Elías Vera-Sigüenza and John Rugis and Vivien Kirk and David I. Yule and James Sneyd A Model of $ {\rm Ca}^{2+} $ Dynamics in an Accurate Reconstruction of Parotid Acinar Cells . . . . . . . . . . . . . . 1394--1426 Kosaku Kitagawa and Toshikazu Kuniya and Shinji Nakaoka and Yusuke Asai and Koichi Watashi and Shingo Iwami Mathematical Analysis of a Transformed ODE from a PDE Multiscale Model of Hepatitis C Virus Infection . . . . . . 1427--1441 Henning S. Mortveit and Ryan D. Pederson Attractor Stability in Finite Asynchronous Biological System Models 1442--1460 Michaël Dougoud and Christian Mazza and Beat Schwaller and László Pecze Extending the Mathematical Palette for Developmental Pattern Formation: Piebaldism . . . . . . . . . . . . . . . 1461--1478 Gaoyang Fan and Paul C. Bressloff Modeling the Role of Feedback in the Adaptive Response of Bacterial Quorum Sensing . . . . . . . . . . . . . . . . 1479--1505 Yuewu Liu and Xiufen Zou A New Model System for Exploring Assembly Mechanisms of the HIV-1 Immature Capsid In Vivo . . . . . . . . 1506--1526 Alicia Dickenstein and Mercedes Pérez Millán and Anne Shiu and Xiaoxian Tang Multistationarity in Structured Reaction Networks . . . . . . . . . . . . . . . . 1527--1581 Pengfei Song and Yanni Xiao Analysis of an Epidemic System with Two Response Delays in Media Impact Function 1582--1612 Matthew D. Johnston and Evan Burton Computing Weakly Reversible Deficiency Zero Network Translations Using Elementary Flux Modes . . . . . . . . . 1613--1644
Susan Christine Massey and Andrea Hawkins-Daarud and Jill Gallaher and Alexander R. A. Anderson and Peter Canoll and Kristin R. Swanson Lesion Dynamics Under Varying Paracrine PDGF Signaling in Brain Tissue . . . . . 1645--1664 Yuanshi Wang Asymptotic State of a Two-Patch System with Infinite Diffusion . . . . . . . . 1665--1686 Vanessa Steindorf and Norberto Aníbal Maidana Modeling the Spatial Spread of Chagas Disease . . . . . . . . . . . . . . . . 1687--1730 Ciara E. Dangerfield and Martin Vyska and Christopher A. Gilligan Resource Allocation for Epidemic Control Across Multiple Sub-populations . . . . 1731--1759 David J. Warne and Ruth E. Baker and Matthew J. Simpson Using Experimental Data and Information Criteria to Guide Model Selection for Reaction--Diffusion Problems in Mathematical Biology . . . . . . . . . . 1760--1804 J. L. Hart and P. A. Gremaud and T. David Global Sensitivity Analysis of High-Dimensional Neuroscience Models: an Example of Neurovascular Coupling . . . 1805--1828 Carsten Conradi and Maya Mincheva and Anne Shiu Emergence of Oscillations in a Mixed-Mechanism Phosphorylation System 1829--1852 Marissa Renardy and Timothy Wessler and Silvia Blemker and Jennifer Linderman and Shayn Peirce and Denise Kirschner Data-Driven Model Validation Across Dimensions . . . . . . . . . . . . . . . 1853--1866 Marcos Matabuena and Rosana Rodríguez-López An Improved Version of the Classical Banister Model to Predict Changes in Physical Condition . . . . . . . . . . . 1867--1884 Xiaochuan Hu and Guoyi Ke and Sophia R.-J. Jang Modeling Pancreatic Cancer Dynamics with Immunotherapy . . . . . . . . . . . . . 1885--1915 Julien Arino and Nicolas Bajeux and Steve Kirkland Number of Source Patches Required for Population Persistence in a Source--Sink Metapopulation with Explicit Movement 1916--1942 Eda Asili and Shantia Yarahmadian and Hadi Khani and Meisam Sharify A Mathematical Model for Amyloid-$ \beta $ Aggregation in the Presence of Metal Ions: a Timescale Analysis for the Progress of Alzheimer Disease . . . . . 1943--1964 Linnea C. Franssen and Tommaso Lorenzi and Andrew E. F. Burgess and Mark A. J. Chaplain A Mathematical Framework for Modelling the Metastatic Spread of Cancer . . . . 1965--2010 Allison K. Shaw and Morganne Igoe and Alison G. Power and Nilsa A. Bosque-Pérez and Angela Peace Modeling Approach Influences Dynamics of a Vector-Borne Pathogen System . . . . . 2011--2028 Ignacio Barradas and Virgilio Vázquez Backward Bifurcation as a Desirable Phenomenon: Increased Fecundity Through Infection . . . . . . . . . . . . . . . 2029--2050
Reinhard Laubenbacher and Alan Hastings Topological Data Analysis . . . . . . . 2051--2051 Min Ho Cho and Amir Asiaee and Sebastian Kurtek Elastic Statistical Shape Analysis of Biological Structures with Case Studies: a Tutorial . . . . . . . . . . . . . . . 2052--2073 Facundo Mémoli and Kritika Singhal A Primer on Persistent Homology of Finite Metric Spaces . . . . . . . . . . 2074--2116 Irina Kareva and Georgy Karev Natural Selection Between Two Games with Applications to Game Theoretical Models of Cancer . . . . . . . . . . . . . . . 2117--2132 Gabriela Jeronimo and Mercedes Pérez Millán and Pablo Solernó Identifiability from a Few Species for a Class of Biochemical Reaction Networks 2133--2175 Robyn Shuttleworth and Dumitru Trucu Multiscale Modelling of Fibres Dynamics and Cell Adhesion within Moving Boundary Cancer Invasion . . . . . . . . . . . . 2176--2219 Alexander Lai De Oliveira and Benjamin J. Binder Modeling Uniaxial Nonuniform Cell Proliferation . . . . . . . . . . . . . 2220--2238 P. B\la\.zej and E. Fimmel and M. Gumbel The Quality of Genetic Code Models in Terms of Their Robustness Against Point Mutations . . . . . . . . . . . . . . . 2239--2257 Nicholas A. Battista and Leigh B. Pearcy and W. Christopher Strickland Modeling the Prescription Opioid Epidemic . . . . . . . . . . . . . . . . 2258--2289 Lukas Eigentler and Jonathan A. Sherratt Metastability as a Coexistence Mechanism in a Model for Dryland Vegetation Patterns . . . . . . . . . . . . . . . . 2290--2322 Anass Bouchnita and Stefan Hellander and Andreas Hellander A $3$D Multiscale Model to Explore the Role of EGFR Overexpression in Tumourigenesis . . . . . . . . . . . . . 2323--2344 Artur César Fassoni and Ingo Roeder and Ingmar Glauche To Cure or Not to Cure: Consequences of Immunological Interactions in CML Treatment . . . . . . . . . . . . . . . 2345--2395 Jiantao Zhao and Jianjun Paul Tian Spatial Model for Oncolytic Virotherapy with Lytic Cycle Delay . . . . . . . . . 2396--2427 AmirHosein Sadeghimanesh and Elisenda Feliu The Multistationarity Structure of Networks with Intermediates and a Binomial Core Network . . . . . . . . . 2428--2462 Alexander Barabanschikov and Jeremy Gunawardena Monostationarity and Multistationarity in Tree Networks of Goldbeter--Koshland Loops . . . . . . . . . . . . . . . . . 2463--2509 Caterina Vitale and Alex Best The Impact of Selective Predation on Host--Parasite SIS Dynamics . . . . . . 2510--2528 Biman Chakraborty and Amiya Ranjan Bhowmick and Joydev Chattopadhyay and Sabyasachi Bhattacharya A Novel Unification Method to Characterize a Broad Class of Growth Curve Models Using Relative Growth Rate 2529--2552 James R. Moore and Hasan Ahmed and Don McGuire and Rama Akondy and Rafi Ahmed and Rustom Antia Dependence of CD8 T Cell Response upon Antigen Load During Primary Infection 2553--2568 Xiunan Wang and Xingfu Zou Modeling the Potential Role of Engineered Symbiotic Bacteria in Malaria Control . . . . . . . . . . . . . . . . 2569--2595 Dan Li and Hui Wan The Threshold Infection Level for \bionameWolbachia Invasion in a Two-Sex Mosquito Population Model . . . . . . . 2596--2624
Yang Cao and Petzold Linda and Effrosyni Seitaridou Stochastic Simulation of Biochemical Systems: In Memory of Dan T. Gillespie's contributions . . . . . . . . . . . . . 2819--2821 Ryan Suderman and Eshan D. Mitra and Yen Ting Lin and Keesha E. Erickson and Song Feng and William S. Hlavacek Generalizing Gillespie's Direct Method to Enable Network--Free Simulations . . 2822--2848 Muruhan Rathinam and Yuriy Sverchkov Stochastic Dynamics of Eukaryotic Flagellar Growth . . . . . . . . . . . . 2849--2872 Per Lötstedt The Linear Noise Approximation for Spatially Dependent Biochemical Networks 2873--2901 David F. Anderson and Chaojie Yuan Low Variance Couplings for Stochastic Models of Intracellular Processes with Time-Dependent Rate Functions . . . . . 2902--2930 Casper H. L. Beentjes and Ruth E. Baker Quasi-Monte Carlo Methods Applied to Tau-Leaping in Stochastic Biological Systems . . . . . . . . . . . . . . . . 2931--2959 Stephen Smith and Ramon Grima Spatial Stochastic Intracellular Kinetics: a Review of Modelling Approaches . . . . . . . . . . . . . . . 2960--3009 Stefan Engblom Stochastic Simulation of Pattern Formation in Growing Tissue: a Multilevel Approach . . . . . . . . . . 3010--3023 Minghan Chen and Shuo Wang and Yang Cao Accuracy Analysis of Hybrid Stochastic Simulation Algorithm on Linear Chain Reaction Systems . . . . . . . . . . . . 3024--3052 Vo Hong Thanh A Critical Comparison of Rejection-Based Algorithms for Simulation of Large Biochemical Reaction Networks . . . . . 3053--3073 Jana Lipková and Georgios Arampatzis and Philippe Chatelain and Bjoern Menze and Petros Koumoutsakos $S$-Leaping: an Adaptive, Accelerated Stochastic Simulation Algorithm, Bridging $ \tau $-Leaping and $R$-Leaping . . . . . . . . . . . . . . 3074--3096 Min K. Roh Data-Driven Method for Efficient Characterization of Rare Event Probabilities in Biochemical Systems . . 3097--3120 Ankit Gupta and Mustafa Khammash Sensitivity Analysis for Multiscale Stochastic Reaction Networks Using Hybrid Approximations . . . . . . . . . 3121--3158 P. A. Maginnis and M. West and G. E. Dullerud Exact Variance-Reduced Simulation of Lattice Continuous--Time Markov Chains with Applications in Reaction Networks 3159--3184 Hye-Won Kang and Radek Erban Multiscale Stochastic Reaction--Diffusion Algorithms Combining Markov Chain Models with Stochastic Partial Differential Equations . . . . . 3185--3213 Mark Alber and Christophe Godin and Philip K. Maini and Roeland Merks and Eric Mjolsness Introduction . . . . . . . . . . . . . . 3214--3218 Alexander Erlich and Derek E. Moulton and Alain Goriely Are Homeostatic States Stable? Dynamical Stability in Morphoelasticity . . . . . 3219--3244 Mikahl Banwarth-Kuhn and Ali Nematbakhsh and Kevin W. Rodriguez and Stephen Snipes and Carolyn G. Rasmussen and G. Venugopala Reddy and Mark Alber Cell-based Model of the Generation and Maintenance of the Shape and Structure of the Multilayered Shoot Apical Meristem of \bionameArabidopsis thaliana 3245--3281 J. Jiang and K. Garikipati and S. Rudraraju A Diffuse Interface Framework for Modeling the Evolution of Multi-cell Aggregates as a Soft Packing Problem Driven by the Growth and Division of Cells . . . . . . . . . . . . . . . . . 3282--3300 Abdel-Rahman Hassan and Thomas Biel and David M. Umulis and Taeyoon Kim Interplay Between the Persistent Random Walk and the Contact Inhibition of Locomotion Leads to Collective Cell Behaviors . . . . . . . . . . . . . . . 3301--3321
Helen Moore and Richard Allen What Can Mathematics Do for Drug Development? . . . . . . . . . . . . . . 3421--3424 Richard Allen and Helen Moore Perspectives on the Role of Mathematics in Drug Discovery and Development . . . 3425--3435 Xiaotian Wu and Fahima Nekka and Jun Li Analytical Solution and Exposure Analysis of a Pharmacokinetic Model with Simultaneous Elimination Pathways and Endogenous Production: The Case of Multiple Dosing Administration . . . . . 3436--3459 Jeffrey Saltzman and Claus Bendtsen Modeling the Effect of Mucin Binding in the Gut on Drug Delivery . . . . . . . . 3460--3476 E. Vendel and V. Rottschäfer and E. C. M. de Lange Improving the Prediction of Local Drug Distribution Profiles in the Brain with a New $2$D Mathematical Model . . . . . 3477--3507 Mika Naganawa and Jean-Dominique Gallezot and Samantha Rossano and Richard E. Carson Quantitative PET Imaging in Drug Development: Estimation of Target Occupancy . . . . . . . . . . . . . . . 3508--3541 Carla White and Lloyd J. Bridge Ligand Binding Dynamics for Pre-dimerised G Protein-Coupled Receptor Homodimers: Linear Models and Analytical Solutions . . . . . . . . . . . . . . . 3542--3574 Vincent Lemaire and David R. Cox Dynamics of Bone Cell Interactions and Differential Responses to PTH and Antibody-Based Therapies . . . . . . . . 3575--3622 Aleksandra Karolak and Katarzyna A. Rejniak Micropharmacology: An In Silico Approach for Assessing Drug Efficacy Within a Tumor Tissue . . . . . . . . . . . . . . 3623--3641 Gilles Gnacadja An Invitation to Pharmacostatics . . . . 3642--3654 Christina Durón and Yuan Pan and David H. Gutmann and Johanna Hardin and Ami Radunskaya Variability of Betweenness Centrality and Its Effect on Identifying Essential Genes . . . . . . . . . . . . . . . . . 3655--3673
Vladimir Reinharz and Alexander Churkin and Stephanie Lewkiewicz and Harel Dahari and Danny Barash A Parameter Estimation Method for Multiscale Models of Hepatitis C Virus Dynamics . . . . . . . . . . . . . . . . 3675--3721 Renee Brady and Heiko Enderling Mathematical Models of Cancer: When to Predict Novel Therapies, and When Not to 3722--3731 Jason Callahan and Eric Eager and Richard Rebarber and Eva Strawbridge and Shenglan Yuan Analysis of a Length-Structured Density-Dependent Model for Fish . . . . 3732--3753 M. C. Köhnke Invasion Dynamics in an Intraguild Predation System with Predator-Induced Defense . . . . . . . . . . . . . . . . 3754--3777 Simon J. Duncan and Keith R. Daly and Daniel M. McKay Fletcher and Siul Ruiz and Paul Sweeney and Tiina Roose Multiple Scale Homogenisation of Nutrient Movement and Crop Growth in Partially Saturated Soil . . . . . . . . 3778--3802 Alexander L. Davis and Alexander P. Hoover and Laura A. Miller Lift and Drag Acting on the Shell of the American Horseshoe Crab (\bionameLimulus polyphemus) . . . . . . . . . . . . . . 3803--3822 Yukihiro Murakami and Leo van Iersel and Remie Janssen and Mark Jones and Vincent Moulton Reconstructing Tree--Child Networks from Reticulate--Edge-Deleted Subnetworks . . 3823--3863 Artur César Fassoni and Denis Carvalho Braga Resilience Analysis for Competing Populations . . . . . . . . . . . . . . 3864--3888 Xiaoying Wang and Messoud Efendiev and Frithjof Lutscher How Spatial Heterogeneity Affects Transient Behavior in Reaction--Diffusion Systems for Ecological Interactions? . . . . . . . . 3889--3917 Michael J. Plank and Nick Stringer and Shona L. Lamoureaux and Graeme W. Bourdôt and Alex James Limiting Effect of Self-Shading on the Height of \bionameTradescantia fluminensis Mats . . . . . . . . . . . . 3918--3932 James T. Cronin and Jerome Goddard and Ratnasingham Shivaji Effects of Patch-Matrix Composition and Individual Movement Response on Population Persistence at the Patch Level . . . . . . . . . . . . . . . . . 3933--3975 Matthew T. Houston and Juan B. Gutierrez The FRiND Model: A Mathematical Model for Representing Macrophage Plasticity in Muscular Dystrophy Pathogenesis . . . 3976--3997 Carlos Contreras and Gustavo Carrero and Gerda de Vries A Mathematical Model for the Effect of Low-Dose Radiation on the G2/M Transition . . . . . . . . . . . . . . . 3998--4021 Moritz P. Thon and Mary R. Myerscough and Michael W. Gee A Spatially Resolved and Quantitative Model of Early Atherosclerosis . . . . . 4022--4068 Melanie A. Jensen and Ying-Ying Wang and Samuel K. Lai and M. Gregory Forest and Scott A. McKinley Antibody-Mediated Immobilization of Virions in Mucus . . . . . . . . . . . . 4069--4099 Ariel Camacho and Fernando Saldaña and Ignacio Barradas and Silvia Jerez Modeling Public Health Campaigns for Sexually Transmitted Infections via Optimal and Feedback Control . . . . . . 4100--4123 Anton Chizhov and Fabien Campillo and Mathieu Desroches and Antoni Guillamon and Serafim Rodrigues Conductance-Based Refractory Density Approach for a Population of Bursting Neurons . . . . . . . . . . . . . . . . 4124--4143 Paul A. Valle and Luis N. Coria and Yolocuauhtli Salazar Tumor Clearance Analysis on a Cancer Chemo--Immunotherapy Mathematical Model 4144--4173 Carsten Conradi and Alexandru Iosif and Thomas Kahle Multistationarity in the Space of Total Concentrations for Systems that Admit a Monomial Parametrization . . . . . . . . 4174--4209 Alexandra Smirnova and Benjamin Sirb and Gerardo Chowell On Stable Parameter Estimation and Forecasting in Epidemiology by the Levenberg--Marquardt Algorithm with Broyden's Rank-one Updates for the Jacobian Operator . . . . . . . . . . . 4210--4232
Julien Arino and James Watmough Current Trends in Mathematical Epidemiology . . . . . . . . . . . . . . 4311--4312 Rachael M. Milwid and Federico Frascoli and Marc Steben and Jane M. Heffernan HPV Screening and Vaccination Strategies in an Unscreened Population: A Mathematical Modeling Study . . . . . . 4313--4342 Alexandra Smirnova and Linda deCamp and Gerardo Chowell Forecasting Epidemics Through Nonparametric Estimation of Time--Dependent Transmission Rates Using the SEIR Model . . . . . . . . . . . . . 4343--4365 Jean Claude Kamgang and Christopher Penniman Thron Analysis of Malaria Control Measures' Effectiveness Using Multistage Vector Model . . . . . . . . . . . . . . . . . 4366--4411 P. van den Driessche and Abdul-Aziz Yakubu Disease Extinction Versus Persistence in Discrete-Time Epidemic Models . . . . . 4412--4446 Rocio Caja Rivera and Ignacio Barradas Vector Preference Annihilates Backward Bifurcation and Reduces Endemicity . . . 4447--4469 Camilo Sanabria Malagón and Esteban Vargas Bernal Competent Hosts and Endemicity of Multi-Host Vector-Borne Diseases . . . . 4470--4483 May Anne Mata and Priscilla Greenwood and Rebecca Tyson The Relative Contribution of Direct and Environmental Transmission Routes in Stochastic Avian Flu Epidemic Recurrence: An Approximate Analysis . . 4484--4517 Prince Harvim and Hong Zhang and Paul Georgescu and Lai Zhang Transmission Dynamics and Control Mechanisms of Vector-Borne Diseases with Active and Passive Movements Between Urban and Satellite Cities . . . . . . . 4518--4563 Woldegebriel A. Woldegerima and Miranda I. Teboh-Ewungkem and Gideon A. Ngwa The Impact of Recruitment on the Dynamics of an Immune-Suppressed Within-Human--Host Model of the \bionamePlasmodium falciparum Parasite 4564--4619 Andrew Morozov Modelling Biological Evolution: Developing Novel Approaches . . . . . . 4620--4624 Fabio A. C. C. Chalub and Max O. Souza From Fixation Probabilities to $d$-player Games: An Inverse Problem in Evolutionary Dynamics . . . . . . . . . 4625--4642 Mark Broom and Karan Pattni and Jan Rychtá\vr Generalized Social Dilemmas: The Evolution of Cooperation in Populations with Variable Group Size . . . . . . . . 4643--4674 Oleg Kuzenkov and Andrew Morozov Towards the Construction of a Mathematically Rigorous Framework for the Modelling of Evolutionary Fitness 4675--4700 Simran Kaur Sandhu and Andrew Morozov and Oleg Kuzenkov Revealing Evolutionarily Optimal Strategies in Self-Reproducing Systems via a New Computational Approach . . . . 4701--4725 Chandani Dissanayake and Lourdes Juan and Kevin R. Long and Angela Peace and Md Masud Rana Genotypic Selection in Spatially Heterogeneous Producer--Grazer Systems Subject to Stoichiometric Constraints 4726--4742 Cordula Reisch and Dirk Langemann Modeling the Chronification Tendency of Liver Infections as Evolutionary Advantage . . . . . . . . . . . . . . . 4743--4760 Cindy Gidoin and Stephan Peischl Range Expansion Theories Could Shed Light on the Spatial Structure of Intra-tumour Heterogeneity . . . . . . . 4761--4777 Caterina Vitale and Eva Kisdi Evolutionary Suicide of Prey: Matsuda and Abrams' Model Revisited . . . . . . 4778--4802 Roger Cropp and John Norbury Simulating Eco-evolutionary Processes in an Obligate Pollination Model with a Genetic Algorithm . . . . . . . . . . . 4803--4820
Hui Cao and Dongxue Yan and Suxia Zhang and Xiaoqin Wang Analysis of Dynamics of Recurrent Epidemics: Periodic or Non-periodic . . 4889--4907 P. Magal and G. F. Webb and Yixiang Wu An Environmental Model of Honey Bee Colony Collapse Due to Pesticide Contamination . . . . . . . . . . . . . 4908--4931 Angela Peace and Hao Wang Compensatory Foraging in Stoichiometric Producer--Grazer Models . . . . . . . . 4932--4950 Milen Borisov and Gabriel Dimitriu and Peter Rashkov Modelling the Host Immune Response to Mature and Immature Dengue Viruses . . . 4951--4976 Dipo Aldila and Hiromi Seno A Population Dynamics Model of Mosquito-Borne Disease Transmission, Focusing on Mosquitoes' Biased Distribution and Mosquito Repellent Use 4977--5008 Zhi Zhou and Robert A. Van Gorder Turing Instability and Colony Formation in Spatially Extended Rosenzweig--MacArthur Predator--Prey Models with Allochthonous Resources . . 5009--5053 Léo Girardin and Vincent Calvez and Florence Débarre Catch Me If You Can: A Spatial Model for a Brake-Driven Gene Drive Reversal . . . 5054--5088
R. Leander and A. Friedman Correction to: Modulation of the cAMP Response by $ G \alpha_i $ and $ G \beta \gamma $: a Computational Study of $G$ Protein Signaling in Immune Cells . . . ??
Jason Callahan and Eric Eager and Shenglan Yuan Correction to: Analysis of a Length-Structured Density-Dependent Model for Fish . . . . . . . . . . . . . ??
A. M. Turing The chemical basis of morphogenesis . . 37--72