Last update:
Fri Jun 2 09:00:05 MDT 2023
Motoo Kimura Evolution of an Altruistic Trait through
Group Selection as Studied by the
Diffusion Equation Method . . . . . . . 1--15
Tomoka Ohta Population Genetics of Transposable
Elements . . . . . . . . . . . . . . . . 17--29
E. A. Thompson Information Gain in Joint Linkage
Analysis . . . . . . . . . . . . . . . . 31--49
J. D. Murray and
G. F. Oster Generation of Biological Pattern and
Form . . . . . . . . . . . . . . . . . . 51--75
K. D. Coleman and
A. C. Fowler A Mathematical Model of Exoprotein
Production in Bacteria . . . . . . . . . 77--94
N. F. Brttton and
J. R. Barker and
E. F. J. Ring A Mathematical Model for a Thermal
Clearance Probe . . . . . . . . . . . . 95--105
C. J. Mode and
R. C. Busby and
D. C. Ewbank and
G. T. Pickens A Mathematical Overview of a Computer
Simulation Model of Maternity Histories
with Illustrative Examples . . . . . . . 107--121
Michael P. Hassell Parasitism in Patchy Environments:
Inverse Density Dependence can be
Stabilizing . . . . . . . . . . . . . . 123--133
F. C. Hoppensteadt Synchronized Oscillations in Networks of
Neuron Analogue Circuits . . . . . . . . 135--148
Jonathan Bell Behaviour of Some Models of Myelinated
Axons . . . . . . . . . . . . . . . . . 149--167
Dieter Schenzle An Age-Structured Model of Pre- and
Post-Vaccination Measles Transmission 169--191
Craig L. Hanis and
Ranajit Chakraborty Nonrandom Sampling in Human Genetics:
Familial Correlations . . . . . . . . . 193--213
Joseph W. Horwood The Frequency Response of Exploited Fish
Stocks to External Perturbations . . . . 215--231
Roy M. Anderson and
Robert M. May Spatial, Temporal, and Genetic
Heterogeneity in Host Populations And
the Design of Immunization Programmes 233--266
Joan L. Aron and
Ira B. Schwartz Some New Directions for Research in
Epidemic Models . . . . . . . . . . . . 267--276
J. Gani Some Population and Epidemic Models
Revisited . . . . . . . . . . . . . . . 277--287
P. Grindrod and
B. D. Sleeman Qualitative Analysis of
Reaction--Diffusion Systems Modelling
Coupled Unmyelinated Nerve Axons . . . . 289--307
J. W. Horwood The Variance and Response of Biological
Systems to Variability in Births and
Survivals . . . . . . . . . . . . . . . 309--322
Jack Cuzick A Review of Semi-parametric Models for
Life Histories . . . . . . . . . . . . . 323--332
J. Gani and
P. Purdue Matrix-Geometric Methods for the General
Stochastic Epidemic . . . . . . . . . . 333--342
P. Grindrod and
B. D. Sleeman Comparison Principles in the Analysis of
Reaction--Diffusion Systems Modelling
Unmyelinated Nerve Fibres . . . . . . . 343--363
Henk F. P. van den Boogaard and
Peter I. M. Johannesma The Master Equation for Neural
Interaction . . . . . . . . . . . . . . 365--389
J. G. Cooke and
J. R. Beddington The Relationship between Catch Rates and
Abundance in Fisheries . . . . . . . . . 391--405
Anonymous Acknowledgements . . . . . . . . . . . . 407--407
Anonymous INDEX TO VOLUME 1 . . . . . . . . . . . 409--412
B. S. Weir Statistical Analysis of Molecular
Genetic Data . . . . . . . . . . . . . . 1--39
Alan S. Perelson and
Lee A. Segel and
John L. Spouge On a Model for the Structure of Circular
Mitochondrial Genomes in Higher Plants 41--56
R. M. Nisbet and
S. P. Blythe and
W. S. C. Gurney and
J. A. J. Metz Stage-Structure Models of Populations
with Distinct Growth and Development
Processes . . . . . . . . . . . . . . . 57--68
G. A. Rlngwood The Structure of Poisson Algebras . . . 69--73
E. A. Thompson The History of a Lethal X-Linked Mutant 75--92
Yoh Iwasa and
Jonathan Roughgarden Evolution in a Metapopolation with
Space-Limited Subpopulations . . . . . . 93--107
Wolfgang Alt and
Theodor Eisele and
Renate Schaaf Chemotaxis of Gametes: a Diffusion
Approximation . . . . . . . . . . . . . 109--129
J. C. Mateos and
F. Sanchez and
j. Horno and
J. Ureña and
J. R. Zaragoza and
G. Madurga A Geometric Calculation of Square and
Circular Size Equivalents for
Rectangular Radiation Fields in
Radiotherapy . . . . . . . . . . . . . . 131--137
George W. Swan Optimal Control Applications in the
Chemotherapy of Multiple Myeloma . . . . 139--160
P. Smith and
E. H. Twizell A Transient Two-Dimensional Model of
Thermoregulation in a Human Subject . . 161--181
Eric Renshaw Computer Simulation of Sitka Spruce:
Spatial Branching Models for Canopy
Growth and Root Structure . . . . . . . 183--200
A. R. Hiby An Approach to Estimating Population
Densities of Great Whales from Sighting
Surveys . . . . . . . . . . . . . . . . 201--220
W. M. Schaffer Can Nonlinear Dynamics Elucidate
Mechanisms in Ecology and Epidemiology? 221--252
Konrad Schumacher Mathematical considerations on the
larch-larch-bud-moth hypothesis . . . . 253--285
M. J. Faddy Nonlinear Stochastic Compartmental
Models . . . . . . . . . . . . . . . . . 287--297
C. Wall and
J. N. Perry The Role of a Simulation Model in
Understanding the Behaviour of Male Pea
Moths Attracted to Pheromone Traps . . . 299--309
Anonymous Acknowledgements . . . . . . . . . . . . 311--311
Anonymous INDEX TO VOLUME 2 . . . . . . . . . . . 313--316
Gary T. Pickens and
Charles J. Mode Projection of Mean and Variance
Functions for Population Processes with
Time-homogeneous Laws of Evolution . . . 1--22
Z. S. Chalabi and
W. Day Application of Dynamic Jump Process
Analysis to Modelling Tiller Production
in Winter Wheat . . . . . . . . . . . . 23--40
Flaviano Battelli and
Claudio Lazzari Singular Perturbation Theory for Open
Enzyme Reaction Networks . . . . . . . . 41--51
F. van den Bosch and
O. Diekmann Interactions between Egg-eating Predator
and Prey: The Effect of the Functional
Response and of Age Structure . . . . . 53--69
Anonymous Renewal Theory, Geiger Counters, and the
Maximum Number of Receptors Bound to a
Randomly Haptenated Polymer Chain . . . 71--97
E. Schatzmann and
R. Gerrard and
A. D. Barbour Measures of Niche Overlap, I . . . . . . 99--113
R. Gerrard and
A. D. Barbour Measures of Niche Overlap, II . . . . . 115--127
J. W. Horwood and
P. Whittle Optimal Control in the Neighbourhood of
an Optimal Equilibrium with Examples
from Fisheries Models . . . . . . . . . 129--142
J. W. Horwood and
P. Whittle The Optimal Harvest from a Multicohort
Stock . . . . . . . . . . . . . . . . . 143--155
Alun Thomas Approximate Computation of Probability
Functions for Pedigree Analysis . . . . 157--166
Alun Thomas Optimal Computation of Probability
Functions for Pedigree Analysis . . . . 167--178
Edgar Jäger Stable Patterns Generated by
Activator--Inhibitor Systems . . . . . . 179--190
H. A. Lauwerier and
J. A. J. Metz Hopf Bifurcation in Host-Parasitoid
Models . . . . . . . . . . . . . . . . . 191--210
Ingemar Nåsell On Superinfection in Malaria . . . . . . 211--227
R. M. Anderson and
G. F. Medley and
R. M. May and
A. M. Johnson A Preliminary Study of the Transmission
Dynamics of the Human Immunodeficiency
Virus (HIV), the Causative Agent of AIDS 229--263
Reinhard Burger Evolutionary Dynamics of Functionally
Constrained Phenotypic Characters . . . 265--287
Jonathan Bell Parametric Dependence of Conduction
Speed for a Diffusive Model of a
Myelinated Axon . . . . . . . . . . . . 289--300
Jonathan Bell and
Mark H. Holmes Behaviour of a Model for the Synapse of
an Auditory Receptor Cell . . . . . . . 301--317
P. L. Antonelli and
J. M. Skowronski Differential Offensive-Defensive Games
between Plants and Herbivores . . . . . 319--340
Anonymous Acknowledgements . . . . . . . . . . . . 341--341
Anonymous INDEX TO VOLUME 3 . . . . . . . . . . . 343--343
Rob J. De Boer and
Pauline Hogeweg Self-Nonself Discrimination due to
Immunological Nonlinearities: the
Analysis of a Series of Models by
Numerical Methods . . . . . . . . . . . 1--32
Ding Xiaoming and
Ding Dafu and
Xu Jinghua Chiral Symmetry Breaking in Living
Systems . . . . . . . . . . . . . . . . 33--46
Betty Tang Growth of Microorganisms in
Gradient-like Enviroments . . . . . . . 47--58
N. F. Britton and
J. Waniewski One-Dimensional Theory of Haemofilters 59--68
J. D. Griffiths and
J. K. Smedley and
T. G. Weale Terminal Distributions along a `Knight's
Line' for a Stochastic Epidemic . . . . 69--79
D. Y. Downham and
B. C. Wilson and
J. Lexell and
M. Siöström Distribution of Different Fibre Types In
Human Skeletal Muscles: a Method for the
Detection of Neurogenic Disorders . . . 81--91
E. A. Thompson Crossover Counts and Likelihood in
Multipoint Linkage Analysis . . . . . . 93--108
David Greenhalgh Analytical Results on the Stability of
Age-Structured Recurrent Epidemic Models 109--144
Tim Kiemel and
Philip Holmes A Model for the Periodic Synaptic
Inhibition of a Neuronal Oscillator . . 145--169
George W. Swan Optimal Control Analysis of a Cancer
Chemotherapy Problem . . . . . . . . . . 171--184
A. Y. L. Cheer and
M. A. R. Koehl Fluid Flow through Filtering Appendages
of Insects . . . . . . . . . . . . . . . 185--199
Abraham Boyarsky and
John Senez Optimal Pressure Waveforms for
Pressure-Limited Ventilation . . . . . . 201--205
P. L. Antonelli and
K. D. Fuller and
N. D. Kazarinoff A Study of Large-Amplitude Periodic
Solutions in a Model for Starfish
Predation of Coral . . . . . . . . . . . 207--214
Tania M. M. Campos and
Philip Holgate Algebraic Isotopy in Genetics . . . . . 215--222
C. J. Mode and
G. T. Pickens and
D. C. Ewbank Demographic Heterogeneity and
Uncertainty in Population Projections 223--236
Jai Li and
Thomas G. Hallam and
Ma Zhien Demographic Variation and Survival in
Discrete Population Models . . . . . . . 237--246
R. J. Magnus and
K. G. Magnusson Existence and Uniqueness of Solutions to
the Multispecies Virtual Population
Analysis Equations . . . . . . . . . . . 247--263
A. A. Rosenberg and
J. R. Beddington Harvesting Interacting Species of
Different Lifespans . . . . . . . . . . 265--278
R. J. Dobson and
D. A. Griffiths and
A. D. Donald and
P. J. Waller A Genetic Model Describing the Evolution
of Levamisole Resistance in
\bionameTrichostrongylus colubriformis,
a Nematode Parasite of Sheep . . . . . . 279--293
Zvia Agur Resilience and Variability in Pathogens
and Hosts . . . . . . . . . . . . . . . 295--307
D. C. Lane and
J. D. Murray and
V. S. Manoranjan Analysis of Wave Phenomena in a
Morphogenetic Mechanochemical Model and
an Application to Post-fertilization
Waves on Eggs . . . . . . . . . . . . . 309--331
Frank Ball and
Mark Sansom Temporal Clustering of Ion Channel
Openings Incorporating Time Interval
Omission . . . . . . . . . . . . . . . . 333--361
G. E. Thomas An Approach to Modelling Radiation
Damage by Fast Ionizing Particles . . . 363--377
S. P. Blythe and
R. M. Anderson Distributed Incubation and Infectious
Periods in Models of the Transmission
Dynamics of the Human Immunodeficiency
Virus (HIV) . . . . . . . . . . . . . . 1--19
B. D. Sleeman Period-doubling Bifurcations Leading to
Chaos in Discrete Models of Biology . . 21--31
N. Karmakar and
G. Jayaraman Linear Diffusion of Lead in the
Intestinal Wall: a Theoretical Study . . 33--43
E. A. Trowbridge and
P. J. Harley A Stochastic Model of Pulmonary Platelet
Production . . . . . . . . . . . . . . . 45--63
P. L. Antonelli and
R. M. Seymour A Model of Myxomatosis based on Hormonal
Control of Rabbit-flea Reproduction . . 65--80 (??)
David Greenhalgh Threshold and Stability Results for an
Epidemic Model with an Age-Structured
Meeting Rate . . . . . . . . . . . . . . 81--100
Agnes Berger and
Guadalupe Gómez and
Sylvan Wallenstein A Homogeneity Test for Follow-up Studies 101--112
R. R. Pozna'Nski Membrane Voltage Changes in Passive
Dendritic Trees: a Tapering Equivalent
Cylinder Model . . . . . . . . . . . . . 113--145
Charles J. Mode On Statistically Assessing Critical
Population Size of an Endangered Species
in a Random Environment . . . . . . . . 147--166
B. C. Wilson and
D. Y. Downham and
J. Lexell and
M. Sjöström Some Probability Models for Diagnosing
Neurogenic Disorders . . . . . . . . . . 167--179
S. P. Blythe and
R. M. Anderson Variable Infectiousness in HFV
Transmission Models . . . . . . . . . . 181--200
Alun Thomas Drawing Pedigrees . . . . . . . . . . . 201--213
William J. Reed Optimal Harvesting of a Fishery subject
to Random Catastrophic Collapse . . . . 215--235
S. P. Blythe and
R. M. Anderson Heterogeneous Sexual Activity Models of
HIV Transmission in Male Homosexual
Populations . . . . . . . . . . . . . . 237--260
E. A. Thompson Two-locus and Three-locus Gene Identity
by Descent in Pedigrees . . . . . . . . 261--279
M. P. Singh and
Maithili Sharan and
Indu Sud The Process of Gas Exchange in Systemic
Circulation in a Hyperbaric Environment:
an Analytical Approach . . . . . . . . . 281--301
G. W. Swan General Applications of Optimal Control
Theory in Cancer Chemotherapy . . . . . 303--316
Anonymous Erratum . . . . . . . . . . . . . . . . 1--1
Yoh Iwasa and
Simon A. Levin and
Viggo Andreasen Aggregation in Model Ecosystems II.
Approximate Aggregation . . . . . . . . 1--23
M. P. Singh and
Maithili Sharan and
A. Aminataei Development of Mathematical Formulae for
O$_2$ and CO$_2$ Dissociation Curves in
the Blood . . . . . . . . . . . . . . . 25--46
S. N. Wood and
S. P. Blythe and
W. S. C. Gurney and
R. M. Nisbet Instability in Mortality Estimation
Schemes Related to Stage-Structure
Population Models . . . . . . . . . . . 47--68
P. Grindrod and
J. D. Murray and
S. Sinha Steady-State Spatial Patterns in a
Cell-Chemotaxis Model . . . . . . . . . 69--79
P. L. Antonelli and
N. D. Kazarinoff and
R. E. Reichelt and
R. H. Bradbury and
P. J. Moran A Diffusion--Reaction--Transport Model
for Large-Scale Waves in Crown-of-Thorns
Starfish Outbreaks on the Great Barrier
Reef . . . . . . . . . . . . . . . . . . 81--89
Helen M. Anthony and
M. G. Cox An Automatic Algorithm for Immunoassay
Curve Calibration Using Controlled
Quadratic Splines . . . . . . . . . . . 91--110
J. F. Y. Brookfield Analysis of DNA Fingerprinting Data in
Cases of Disputed Paternity . . . . . . 111--131
J. Panaretos A Probability Model Involving the Use of
the Zero-Truncated Yule Distribution for
Analysing Surname Data . . . . . . . . . 133--136
Andrew J. G. Cairns Epidemics in Heterogeneous Populations:
Aspects of Optimal Vaccination Policies 137--159
D. J. Daley and
J. H. Maindonald A Unified View of Models Describing the
Avoidance of Superparasitism . . . . . . 161--178
Charles J. Mode and
Herman E. Gollwitzer and
Michael A. Salsburg and
Candace K. Sleeman A Methodological Study of a Nonlinear
Stochastic Model of an AIDS Epidemic
with Recruitment . . . . . . . . . . . . 179--203
Rachid Lounes A Two-type Population Epidemic Problem 205--208
Daniel E. Weeks and
Kenneth Lange Trials, Tribulations, and Triumphs of
the EM Algorithm in Pedigree Analysis 209--232
Marie-Pierre Malice and
Richard J. Kryscio On the Role of Variable Incubation
Periods in Simple Epidemic Models . . . 233--242
Harbajan K. Chadha-Boreham and
Norman Westwood Drawbacks of Selection Methods for
Synchronous Cell Growth: Simulation
Techniques . . . . . . . . . . . . . . . 243--255
Stanis\law Szczesny and
Boleslaw Turczy\'nski The Generalized Equation for the
Radiotracer Clearance Method of
Measurement of Regional Microcirculation 257--267
Donald Ludwig Irreducible Uncertainty in Estimation
from Catch and Effort Data . . . . . . . 269--275
David Greenhalgh An Epidemic Model with a
Density-Dependent Death Rate . . . . . . 1--26
Irvin Roy Hentzel and
Luiz Antonio Peresi and
Philip Holgate On $k$ th-Order Bernstein Algebras and
Stability at the $ k + 1$ Generation in
Polyploids . . . . . . . . . . . . . . . 33--40
S. P. Blythe and
T. K. Stokes Some Consequences of Size-Selective
Harvesting on Fitness and on Yield . . . 41--53
Joseph W. Horwood Near-Optimal Rewards from Multiple
Species Harvested by Several Fishing
Fleets . . . . . . . . . . . . . . . . . 55--68
F. Rinaldi Global Stability Results for Epidemic
Models with Latent Period . . . . . . . 69--75
G. Brush and
G. A. Harrison Components of Growth Variation in Human
Stature . . . . . . . . . . . . . . . . 77--92
M. A. J. Chaplain and
B. D. Sleeman A Mathematical Model for the Production
and Secration of Tumour Angiogenesis
Factor in Tumours . . . . . . . . . . . 93--108
G. Gómez and
O. Juli\`a Estimation and Asymptotic Properties of
the Distribution of Tune-to-Tumour in
Carcinogenesis Experiments . . . . . . . 109--123
Peter Guttorp and
Michael A. Newton and
Janis L. Abkowitz A Stochastic Model for Haematopoiesis in
Cats . . . . . . . . . . . . . . . . . . 125--143
A. J. Reuben and
A. G. Shannon Some Problems in the Mathematical
Modelling of Erythrocyte Sedimentation 145--156
R. M. Seymour Very Long Period Cycles in a
Near-Optimal Model of the Population
Dynamics of \bionameAcanthaster Planci 157--174
Roman R. Pozna\'nski Analysis of a Postsynaptic Scheme based
on a Tapering Equivalent Cable Model . . 175--197
Alan Young The Landfill Ecosystem . . . . . . . . . 199--217
Andrew J. G. Cairns Epidemics in Heterogeneous Populations:
II. Nonexponential Incubation Periods
and Variable Infectiousness . . . . . . 219--230
N. M. Bujurke and
S. G. Bhavi and
N. B. Naduvinamani The Effect of Couple Stresses in Squeeze
Film Poro-elastic Bearings with Special
Reference to Synovial Joints . . . . . . 231--243
A. Konar and
A. B. Roy Population Drift and Control of Damping
in a Predator--Prey System . . . . . . . 245--259
Paul Blackwell Deterministic and Stochastic Models of
Social Behaviour based on the Resource
Dispersion Hypothesis . . . . . . . . . 261--279
Stavros Busenberg and
Carlos Castillo-Chavez A General Solution of the Problem of
Mixing of Subpopulations and its
Application to Risk- and Age-Structured
Epidemic Models for the Spread of AIDS 1--29
Iv F. M. Phelps A Unifying Model for the Substitutional
Genetic Load . . . . . . . . . . . . . . 31--56
Iv F. M. Phelps Multicomponent Rank Selection as an
Alternative to Haldane's Dilemma . . . . 57--72
I. Karpouzas and
Y. Pouliquen Modelling and Numerical Optimization of
Corneal Rotation . . . . . . . . . . . . 73--82
M. G. Roberts and
B. T. Grenfell The Population Dynamics of Nematode
Infections of Ruminants: Periodic
Perturbations as a Model for Management 83--93
B. S. Thornton and
W. T. Hung and
J. Irving Relaxation Distribution Function of
Intracellular Dielectric Zones as an
Indicator of Tumorous Transition of
Living Cells . . . . . . . . . . . . . . 95--106
Maithili Sharan and
Balbir Singh and
M. P. Singh and
Pawan Kumar Finite-Element Analysis of Oxygen
Transport in the Systemic Capillaries 107--123
Maithili Sharan and
M. P. Singh and
Balbir Singh A Mathematical Model for the Rate of
Oxygenation of Blood in Pulmonary
Capillaries using $n$ th-Order One-Step
Kinetics of Oxygen Uptake by Haemoglobin 125--140
G. Dassios and
B. D. Sleeman A Note on the Reconstruction of
Ellipsoids from the X-Ray Transform . . 141--147
E. A. Thompson and
Sun Wei Guo Evaluation of Likelihood Ratios for
Complex Genetic Models . . . . . . . . . 149--169
Sun Wei Guo and
Elizabeth A. Thompson Monte Carlo Estimation of Variance
Component Models for Large Complex
Pedigrees . . . . . . . . . . . . . . . 171--189
M. A. J. Chaplain and
A. M. Stuart A Mathematical Model for the Diffusion
of Tumour Angiogenesis Factor into the
Surrounding Host Tissue . . . . . . . . 191--220
Anonymous The Sixth IMA Conference on The
Mathematical Theory of the Dynamics of
Biological Systems 1--3 July, 1992,
University of Oxford . . . . . . . . . . 221--221
Marie-Claude Boily and
Roy M. Anderson Sexual Contact Patterns between Men and
Women and the Spread of HIV-1 in Urban
Centres in Africa . . . . . . . . . . . 221--247
Andrea Pugliese Contact Matrices for Multipopulation
Epidemic Models: How to Build a
Consistent Matrix Close to Data . . . . 249--271
Harbajan K. Chadha-Boreham and
Norman Westwood and
Malcolm Andrew Drawbacks of Induction Methods for
Synchronous Cell Growth: Simulation
Techniques . . . . . . . . . . . . . . . 273--286
Nuala Sheehan Sampling genotypes on complex pedigrees
with phenotypic constraints: The origin
of the B allele among the Polar Eskimos 1--18
M. G. Roberts The dynamics and control of bovine
tuberculosis in possums . . . . . . . . 19--28
M. G. Roberts and
B. T. Grenfell The population dynamics of nematode
infections of ruminants: The effect of
seasonally in the free-living stages . . 29--41
Kjartan G. Magnusson A feedback and probing strategy to
regulate harvesting from a renewable
resource . . . . . . . . . . . . . . . . 43--65
David Greenhalgh Some results for an SEIR epidemic model
with density dependence in the death
rate . . . . . . . . . . . . . . . . . . 67--106
Jonathan Swinton and
Geoffrey P. Garnett and
Robert C. Brunham and
Roy M. Anderson Gonococcal infection, infertility, and
population growth: I. Endemic states in
behaviourally homogeneous growing
populations . . . . . . . . . . . . . . 107--126
Geoffrey P. Garnett and
Jonathan Swinton and
Robert C. Brunham and
Roy M. Anderson Gonococcal infection, infertility, and
population growth: II. The influence of
heterogeneity in sexual behaviour . . . 127--144
Cathryn M. Lewis The use of graph theory techniques to
investigate genealogical structure . . . 145--159
B. S. Thornton and
W. T. Hung and
Cherrell Hirst Diagnostic model for local temporal
thermal change at the skin of the breast
during extended application of
diagnostic ultrasound . . . . . . . . . 161--175
Jonathan A. Sherratt and
Paul Martin and
J. D. Murray and
Julian Lewis Mathematical models of wound healing in
embryonic and adult epidermis . . . . . 177--196
Philip K. Maini and
Debbie L. Benson and
Jonathan A. Sherratt Pattern formation in reaction--diffusion
models with spatially inhomogeneous
diffusion coefficients . . . . . . . . . 197--213
M. I. S. Costa and
J. L. Boldrini and
R. C. Bassanezi Optimal chemical control of populations
developing drug resistance . . . . . . . 215--226
Gerhard C. Cruywagen and
P. K. Maini and
J. D. Murray Sequential pattern formation in a model
for skin morphogenesis . . . . . . . . . 227--248
B. N. Nagorcka and
J. R. Mooney From stripes to spots: Prepatterns which
can be produced in the skin by a
reaction--diffusion system . . . . . . . 249--267
R. D. Baker Modelling trypanosomiasis prevalence and
periodic epidemics and epizootics . . . 269--287
K. V. Mardia and
Q. Li and
T. J. Hainsworth On the Penrose hypothesis on fingerprint
patterns . . . . . . . . . . . . . . . . 289--294
Shili Lin and
Elizabeth Thompson and
Ellen Wijsman Achieving irreducibility of the Markov
chain Monte Carlo method applied to
pedigree data . . . . . . . . . . . . . 1--17
J. Norbury and
G. C. Wake Spatial pattern formation for steady
states of a population model . . . . . . 19--30
Wendy A. M. Brandts A field model of left-right asymmetries
in the pattern regulation of a cell . . 31--50
J. Gani and
S. Yakowitz Modelling the spread of HIV among
intravenous drug users . . . . . . . . . 51--65
L. Blllard and
Zhen Zhao The stochastic general epidemic model
revisited and a generalization . . . . . 67--75
Alun Thomas A class of perfect graphs in genetics 77--81
Benjamin Bokler Chaos and complexity in measles models:
a comparative numerical study . . . . . 83--95
Meghan A. Burke and
P. K. Maini and
J. D. Murray Suicide substrate reaction--diffusion
equations: Varying the source . . . . . 97--114
Henk W. Venema Estimation of the parameters of a binary
Markov random field on a graph with
application to fibre type distributions
in a muscle cross-section . . . . . . . 115--133
Jacek B. Krawczyk and
Boles\law Tolwinski A cooperative solution for the
three-nation problem of exploitation of
the southern bluefin tuna . . . . . . . 135--147
M. A. J. Chaplain and
A. M. Stuart A model mechanism for the chemotactic
response of endothelial cells to tumour
angiogenesis factor . . . . . . . . . . 149--168
C. Cannings and
V. Hutson and
G. T. Vickers The evolution of spatial diffusion . . . 169--177
M. J. Faddy Diffusion approximations for stochastic
compartmental models . . . . . . . . . . 179--186
Françisco Antonio Bezerra Coutinho and
Eduardo Massad and
Marcelo Nascimento Burattini and
Hyur Mo Yang and
Raymundo Soares De Azevedo Neto Effects of vaccination programmes on
transmission rates of infections and
related threshold conditions for control 187--206
K. Louie and
M. G. Roberts and
G. C. Wake Thresholds and stability analysis of
models for the spatial spread of a fatal
disease . . . . . . . . . . . . . . . . 207--226
W. M. Schaffer and
B. E. Kendall and
C. W. Tidd and
L. F. Olsen Transient periodicity and episodic
predictability in biological dynamics 227--247
A. C. Flower and
G. P. Kalamangalam and
G. Kember A mathematical analysis of the Grodins
model of respiratory control . . . . . . 249--280
Rinaldo M. Colombo and
Vlastimil Krivan Selective strategies in food webs . . . 281--291
József Baranyi and
Terry A. Roberts and
Peter Mcclure Some properties of a nonautonomous
deterministic growth model describing
the adjustment of the bacterial
population to a new environment . . . . 293--299
Anonymous Author Index . . . . . . . . . . . . . . 303--304
Anonymous Subject Index . . . . . . . . . . . . . 305--308
Alun Thomas and
Mark H. Skolnick and
Cathryn M. Lewis Genomic mismatch scanning in pedigrees 1--16
Eric Renshaw Chaos in biometry . . . . . . . . . . . 17--44
M. I. S. Costa and
J. L. Boldrini and
R. C. Bassanezi Optimal chemotherapy: a case study with
drug resistance, saturation effect, and
toxicity . . . . . . . . . . . . . . . . 45--59
S. N. Wood Spline models of biological population
dynamics: How to estimate mortality
rates for stage structured populations
with dimorphic life histories . . . . . 61--78
Alun Thomas Linkage analysis on complex pedigrees by
simulation . . . . . . . . . . . . . . . 79--93
N. Camp and
C. Cannings and
N. Sheehan The number of genotypic assignments on a
genealogy I. The method and simple
examples . . . . . . . . . . . . . . . . 95--106
Frank K. Nani and
M. Namik O\uguztöreli Modelling and simulation of
Rosenberg-type adoptive cellular
immunotherapy . . . . . . . . . . . . . 107--147
Alun Thomas and
Mark H. Skolnick A probabilistic model for detecting
coding regions in DNA sequences . . . . 149--160
Geoffrey P. Garnett and
Roy M. Anderson Balancing sexual partnership in an age
and activity stratified model of HIV
transmission in heterosexual populations 161--192
Minal Varadharajan and
Girija Jayaraman Sodium ion transport in the intestinal
wall: a mathematical model . . . . . . . 193--205
Victor Irvine and
Sally Mcclean and
Peter Millard Stochastic models for geriatric
in-patient behaviour . . . . . . . . . . 207--216
Chris Harbron and
Alun Thomas Alternative graphical representations of
genotypes in a pedigree . . . . . . . . 217--228
K. Louie and
M. G. Roberts and
G. C. Wake The regulation of an age-structured
population by a fatal disease . . . . . 229--244
A. G. Shannon and
J. M. Hogg and
R. L. Ollerton and
S. Luzio and
D. R. Owens A mathematical model of insulin
secretion . . . . . . . . . . . . . . . 245--266
Iv F. M. Phelps A model for the evolution of the genome:
The effect of stochasticity on genetic
loads . . . . . . . . . . . . . . . . . 1--11
Chris Harbron A pedigree-based algorithm for finding
efficient peeling sequences . . . . . . 13--27
D. James Nokes and
Jonathan Swinton The control of childhood viral
infections by pulse vaccination . . . . 29--53
J. M. Murray An example of the effects of drug
resistance on the optimal schedule for a
single drug in cancer chemotherapy . . . 55--69
G. D. Ruxton and
C. A. Glasbey Energetics of group foraging: Analysis
of a random-walk model . . . . . . . . . 71--81
R. M. Seymour Some aspects of the coevolution of
virulence and resistance in contact
transmission disease processes with
ecological constraints . . . . . . . . . 83--136
G. C. Kenber and
J. D. Evans Analytical solutions to a multicyEinder
somatic shunt cable model for passive
neurones with spines . . . . . . . . . . 137--157
Yongwimon Lenbury and
Kanchana Kumnungkit and
Boriboon Novaprateep Detection of slow-fast limit cycles in a
model for electrical activity in the
pancreatic $ \beta $-cell . . . . . . . 1--21
Chinma O. Uche and
Roy M. Anderson Mixing matrices: Necessary constraints
in populations of finite size . . . . . 23--33
J. W. Horwood Risk-sensitive optimal harvesting and
control of biological populations . . . 35--71
M. E. Orme and
M. A. J. Chaplain A mathematical model of the first steps
of tumour-related angiogenesis:
Capillary sprout formation and secondary
branching . . . . . . . . . . . . . . . 73--98
J. R. Usher and
D. Henderson Some drug-resistant models for cancer
chemotherapy. Part 1: Cycle-nonspecific
drugs . . . . . . . . . . . . . . . . . 99--126
A. J. Lee and
J. R. King and
T. G. Rogers A multiple-pathway model for the
diffusion of drugs in skin . . . . . . . 127--150
Ying-Hen Hsieh A two-sex model for treatment of
HIV/AIDS and behaviour change in a
population of varying size . . . . . . . 151--173
Jorge X. Velasco-Hernández and
Fred Brauer and
Carlos Castillo-Chavez Effects of treatment and
prevalence-dependent recruitment on the
dynamics of a fatal disease . . . . . . 175--192
N. F. Britton and
M. A. J. Chaplain and
Suzanne M. Skevington The role of N-methyl-D-aspartate (NMDA)
receptors in wind-up: a mathematical
model . . . . . . . . . . . . . . . . . 193--205
Roman R. Pozna'Nski and
M. Shelton Peiris Subthreshold response to white-noise
current input in a tapering cable model
of a neuron . . . . . . . . . . . . . . 207--222
S. Yakowitz and
M. Blount and
J. Gani Computing marginal expectations for
large compartmentalized models with
application to AIDS evolution in a
prison system . . . . . . . . . . . . . 223--244
M. G. Roberts and
J. Jowett An SEI model with density-dependent
demographics and epidemiology . . . . . 245--257
Cees Bos and
Louis Hoofd and
Thom Oostendorp The effect of separate red blood cells
on capillary tissue oxygenation
calculated with a numerical model . . . 259--274
B. S. Thornton and
W. T. Hung Dynamic stiffness and implications for
assisting the operation of the left
ventricle . . . . . . . . . . . . . . . 275--295
Gordon Taylor and
Sally Mcclean and
Peter Millard Geriatric-patient flow-rate modelling 297--307
Anonymous Acknowledgements . . . . . . . . . . . . 309--309
Anonymous INDEX TO VOLUME 13 . . . . . . . . . . . 311--315
Ying-Hen Hsieh A two-sex model for treatment of
HIV/AIDS and behaviour change in a
population of varying size . . . . . . . 317--317
D. T. Haydon and
M. E. J. Woolhouse and
R. P. Kitching An analysis of foot-and-mouth-disease
epidemics in the UK . . . . . . . . . . 1--9
David Greenhalgh and
Gordon Hay Mathematical modelling of the spread of
HIV/AIDS amongst injecting drug users 11--38
J. P. Ward and
J. R. King Mathematical modelling of
avascular-tumour growth . . . . . . . . 39--69
William J. Reed Estimating historical forest-fire
frequencies from
time-since-last-fire-sample data . . . . 71--83
Gareth Hughes and
Neil Mcroberts and
Laurence V. Madden and
Scot C. Nelson Validating mathematical models of
plant-disease progress in space and time 85--112
P. R. Parthasarathy The effect of superinfection on the
distribution of the infectious period
--- a continued fraction approximation 113--123
Anton Merlushkin and
Alan G. Hawkes Stochastic behaviour of ion channels in
varying conditions . . . . . . . . . . . 125--149
H. T. Nguyen and
A. G. Shannon and
P. A. Coates and
D. R. Owens Estimation of glomerular filtration rate
in type II (non-insulin dependent)
\bionamediabetes mellitus patients . . . 151--160
A. Bansal and
C. Cannings and
N. Sheehan An evaluation of the application of the
genetic algorithm to the problem of
ordering genetic loci on human
chromosomes using radiation hybrid data 161--187
M. E. Orme and
M. A. J. Chaplain Two-dimensional models of tumour
angiogenesis and anti-angiogenesis
strategies . . . . . . . . . . . . . . . 189--205
V. Zarzoso and
A. K. Nandi and
E. Bacharakis Maternal and foetal ECG separation using
blind source separation methods . . . . 207--225
François Chapeau-Blondeau and
Frédéric Raguin Signal transcoding by nonlinear sensory
neurons: Information-entropy
maximization, optimal transfer function,
and anti-Hebbian adaptation . . . . . . 227--239
B. Basse and
G. C. Wake and
J. A. Mclennan Predation thresholds for survival of
endangered species . . . . . . . . . . . 241--250
Charles J. Mode Threshold parameters for a simple
stochastic partnership model of sexually
transmitted diseases formulated as a
two-type CMJ process . . . . . . . . . . 251--260
Luke Olsen and
Jonathan A. Sherratt and
Philip K. Maini and
Frank Arnold A mathematical model for the capillary
endothelial cell-extracellular matrix
interactions in wound-healing
angiogenesis . . . . . . . . . . . . . . 261--281
J. M. Murray The optimal scheduling of two drugs with
simple resistance for a problem in
cancer chemotherapy . . . . . . . . . . 283--303
H. M. Byrne The importance of intercellular adhesion
in the development of carcinomas . . . . 305--323
Anonymous Acknowledgements . . . . . . . . . . . . 325--325
M. J. Jeger and
F. van den Bosch and
L. V. Madden and
J. Holt A model for analysing plant-virus
transmission characteristics and
epidemic development . . . . . . . . . . 1--18
Gavin J. Gibson and
Eric Renshaw Estimating parameters in stochastic
compartmental models using Markov chain
methods . . . . . . . . . . . . . . . . 19--40
Eric Renshaw Saddlepoint approximations for
stochastic processes with truncated
cumulant generating functions . . . . . 41--52
B. D. Sleeman and
H. R. Nlmmo Fluid transport in vascularized tumours
and metastasis . . . . . . . . . . . . . 53--63
Sabine Stöcker and
Daniel Weihs Bird migration --- an energy-based
analysis of costs and benefits . . . . . 65--85
M. A. Ball and
G. A. Parker Sperm-competition games: Energy
dependence and competitor numbers in the
continuous-external-fertilization model 87--96
Glenn Marion and
Eric Renshaw and
Gavin Gibson Stochastic effects in a model of
nematode infection in ruminants . . . . 97--116
A. Pielaat and
F. van den Bosch A model for dispersal of plant pathogens
by rainsplash . . . . . . . . . . . . . 117--134
A. J. Lee and
J. R. King and
S. Hibberd Mathematical modelling of the release of
drug from porous, nonswelling
transdermal drug-delivery devices . . . 135--163
Markus R. Owen and
Jonathan A. Sherratt Modelling the macrophage invasion of
tumours: Effects on growth and
composition . . . . . . . . . . . . . . 165--185
Eric P. M. Grist and
Sophie Des Clers How seasonal temperature variations may
influence the structure of annual squid
populations . . . . . . . . . . . . . . 187--209
L. J. White and
M. J. Cox and
G. F. Medley Cross immunity and vaccination against
multiple microparasite strains . . . . . 211--233
H. M. Byrne and
G. Cave and
D. L. S. Mcelwain The effect of chemotaxis and
chemokinesis on leukocyte locomotion: a
new interpretation of experimental
results . . . . . . . . . . . . . . . . 235--256
R. Cubarsi and
J. L. Corchero and
P. Vila and
A. Vilaverde Numerical techniques and mathematical
modelling for CI857-controlled gene
expression and cell growth in
recombinant \bionameE. coli . . . . . . 257--278
M. A. Oliver and
R. Webster and
C. Lajaunie and
K. R. Muir and
S. E. Parkes A. H. Cameron and
M. C. G. Stevens and
J. R. Mann Binomial cokriging for estimating and
mapping the risk of childhood cancer . . 279--297
Masayuki Kakeshashi A mathematical analysis of the spread of
HIV/AIDS in Japan . . . . . . . . . . . 299--311
A. Lamour and
F. van den Bosch The stability of the biocontrol system
in an epizootic insect-pathogen model
incorporating three routes of infection 313--320
P. S. Crooke and
J. D. Head and
J. J. Marini and
J. R. Hotchkiss Patient-ventilator interaction: a
general model for nonpassive mechanical
ventilation . . . . . . . . . . . . . . 321--337
Junli Liu and
John W. Crawford Stability of an autocatalytic
biochemical system in the presence of
noise perturbations . . . . . . . . . . 339--350
Elena Solana-Arellano and
Hector Echaverría-Heras and
Cecilia Leal-Ramírez Surface aggregation patterns of LDL
receptors near coated pits I. The
radially convective diffusion and
generalized insertion mechanism . . . . 351--366
Alice E. Milne and
Zaid S. Chalabi Stability analysis of the
FitzHugh--Nagumo differential equations
driven by impulses: Applied to the
electrical firing of magnocellular
neurons . . . . . . . . . . . . . . . . 367--385
M. Broom and
G. D. Ruxton Modelling responses in vigilance rates
to arrivals to and departures from a
group of foragers . . . . . . . . . . . 387--400
Anonymous Acknowledgements . . . . . . . . . . . . 401--401
Anonymous Author Index . . . . . . . . . . . . . . 403--404
Asit K. Ghosh and
P. K. Tapaswi Dynamics of Japanese encephalitis --- A
study in mathematical epidemiology . . . 1--27
Judy Tam Delay effect in a model for virus
replication . . . . . . . . . . . . . . 29--37
Frank K. Nani and
M. Namik O\uguztöreli Modelling and simulation of chemotherapy
of haematological and gynaecological
cancers . . . . . . . . . . . . . . . . 39--91
A. P. Belov and
J. D. Giles and
R. J. Wiltshire Toxicity in a water column following the
stratification of a cyanobacterial
population development in a calm lake 93--110
Masayuki Kakehashi A mathematical analysis of the spread of
HIV/AIDS in Japan . . . . . . . . . . . 111--112
Q. J. A. Khan and
David Greenhalgh Hopf bifurcation in epidemic models with
a time delay in vaccination . . . . . . 113--142
Rachid Lounes and
Hector de Arazoza A two-type model for the Cuban national
programme on HIV/AIDS . . . . . . . . . 143--154
L. A. Kelly and
G. Gibson and
G. Gettinby and
W. Donachie and
J. C. Low The use of dummy data points when
fitting bacterial growth curves . . . . 155--170
J. P. Ward and
J. R. King Mathematical modelling of
avascular-tumour growth II: Modelling
growth saturation . . . . . . . . . . . 171--211
N. J. Camp and
C. Cannings and
N. A. Sheehan The number of genotypic assignments on a
genealogy II. Further results for linear
systems . . . . . . . . . . . . . . . . 213--236
Hyun Mo Yang and
Wilson Castro Ferreira, Jr. A population model applied to HIV
transmission considering protection and
treatment . . . . . . . . . . . . . . . 237--259
Travis C. Porco A mathematical model of the ecology of
Lyme disease . . . . . . . . . . . . . . 261--296
Pejman Rohani and
Graeme D. Ruxton Dispersal and stability in
metapopulations . . . . . . . . . . . . 297--306
Jaime Mena-Lorca and
Jorge X. Velasco-Hernandez and
Carlos Castillo-Chavez Density-dependent dynamics and
superinfection in an epidemic model . . 307--317
M. G. Roberts A Kermack-McKendrick model applied to an
infectious disease in a natural
population . . . . . . . . . . . . . . . 319--332
J. V. Greenman and
P. J. Hudson Multihost, Multiparasite systems: an
application of bifurcation theory . . . 333--367
E. A. Gaffney and
P. K. Maini and
C. D. Mccaig and
M. Zhao and
J. V. Forrester Modelling corneal epithelial wound
closure in the presence of physiological
electric fields via a moving boundary
formalism . . . . . . . . . . . . . . . 369--393
Philip D. O'Neill On a branching model of
division-within-division . . . . . . . . 395--407
Anonymous Acknowledgements . . . . . . . . . . . . 407--407
Anonymous Author Index . . . . . . . . . . . . . . 409--410
Andrew B. Lawson and
Petra Leimich Approaches to the space-time modelling
of infectious disease behaviour . . . . 1--13
Maria Beatriz Ferreira Leite and
Rodney Carlos Bassanezi and
Hyun Mo Yang The basic reproduction ratio for a model
of directly transmitted infections
considering the virus charge and the
immunological response . . . . . . . . . 15--31
José L. Boldrini and
Michel I. S. Costa Therapy burden, drug resistance, and
optimal treatment regimen for cancer
chemotherapy . . . . . . . . . . . . . . 33--51
Jean Vaillant and
Petr Lánský Multidimensional counting processes and
evoked neuronal activity . . . . . . . . 53--73
C. J. Proctor and
M. Broom A spatial model of antipredator
vigilance . . . . . . . . . . . . . . . 75--93
David Greenhalgh and
Fraser Lewis Three-stage AIDS incubation period: a
best case scenario using addict-needle
interaction assumptions . . . . . . . . 95--118
M. El-Doma Stability analysis of a general
age-dependent vaccination model for a
vertically transmitted disease under the
proportionate mixing assumption . . . . 119--136
Doris Altmann and
Klaus Altmann Estimating vaccine coverage by using
computer algebra . . . . . . . . . . . . 137--146
A. C. Fowler and
G. P. Kalamangalam The role of the central chemoreceptor in
causing periodic breathing . . . . . . . 147--167
Tony L. Yates and
Leslie R. Fletcher Prediction of a glucose appearance
function from foods using deconvolution 169--184
Smail Mahdi and
Sabin Lessard Variability in centred house-of-cards
mutation models . . . . . . . . . . . . 185--200
A. C. Paulo and
M. C. Gomes and
A. C. Casinhas and
A. Horta and
T. Domingos Multiple dose vaccination against
childhood diseases: high coverage with
the first dose remains crucial for
eradication . . . . . . . . . . . . . . 201--212
Ying-Hen Hsieh and
Kenneth Cooke Behaviour change and treatment of core
groups: its effect on the spread of
HIV/AIDS . . . . . . . . . . . . . . . . 213--241
Yongwimon Lenbury and
Rujira Ouncharoen and
Nardtida Tumrasvin Higher-dimensional separation principle
for the analysis of relaxation
oscillations in nonlinear systems:
application to a model of HIV infection 243--261
Frank G. Ball and
Robin K. Milne and
Geoffrey F. Yeo Stochastic models for systems of
interacting ion channels . . . . . . . . 263--293
Jeff Griffiths and
Tracey England and
Janet Williams Analytic solutions to compartmental
models of the HIV/AIDS epidemic . . . . 295--310
Henry C. Tuckwell and
Frederic Y. M. Wan Nature of equilibria and effects of drug
treatments in some simple viral
population dynamical models . . . . . . 311--327
A. Lamour and
F. Van Den Bosch and
A. J. Termorshuizen and
M. J. Jeger Modelling the growth of soil-borne fungi
in response to carbon and nitrogen . . . 329--346
J. D. Evans Analysis of a multiple equivalent
cylinder model with generalized taper 347--377
John Dallon and
Jonathan Sherratt and
Philip Maini and
Mark Ferguson Biological implications of a discrete
mathematical model for collagen
deposition and alignment in dermal wound
repair . . . . . . . . . . . . . . . . . 379--393
G. J. Pettet and
D. L. S. Mcelwain and
J. Norbury Lotka--Volterra equations with
chemotaxis: walls, barriers and
travelling waves . . . . . . . . . . . . 395--413
Anonymous Acknowledgements . . . . . . . . . . . . 415--415
Anonymous Index to Volume 17 . . . . . . . . . . . 417--418
Anonymous Subject Index . . . . . . . . . . . . . 419--422
N. D. Evans and
A. J. Pritchard A control theoretic approach to
containing the spread of rabies . . . . 1--23
Alexey S. Matveev and
Andrey V. Savkin Optimal chemotherapy regimens: influence
of tumours on normal cells and several
toxicity constraints . . . . . . . . . . 25--40
Shigui Ruan and
Junjie Wei On the zeros of a third degree
exponential polynomial with applications
to a delayed model for the control of
testosterone secretion . . . . . . . . . 41--52
Alice E. Milne and
Zaid S. Chalabi Control analysis of the Rose-Hindmarsh
model for neural activity . . . . . . . 53--75
Malcolm B. Robertson and
Uwe Köhler Physiological flow waveform in a rigid
elliptical vessel . . . . . . . . . . . 77--98
Marc Artzrouni and
Jean-Paul Gouteux A model of Gambian sleeping sickness
with open vector populations . . . . . . 99--117
M. G. Roberts and
M. I. Tobias The use of multistate life-table models
for improving population health . . . . 119--130
K. A. Landman and
C. P. Please Tumour dynamics and necrosis: surface
tension and stability . . . . . . . . . 131--158
R. M. Seymour and
B. Henderson Pro-inflammatory-anti-inflammatory
cytokine dynamics mediated by
cytokine-receptor dynamics in monocytes 159--192
Jacques Bélair and
Joseph M. Mahaffy Variable maturation velocity and
parameter sensitivity in a model of
haematopoiesis . . . . . . . . . . . . . 193--211
A. Lamour and
F. Van Den Bosch and
A. J. Termorshuizen and
M. J. Jeger Modelling the growth of soil-borne fungi
in response to carbon and nitrogen . . . 213--213
Edward H. Kaplan Evaluating plasma holds in the presence
of multiple infections . . . . . . . . . 215--224
David Greenhalgh and
Murray Doyle and
Fraser Lewis A mathematical treatment of AIDS and
condom use . . . . . . . . . . . . . . . 225--262
J. P. Ward and
J. R. King and
A. J. Koerber and
P. Williams and
J. M. Croft and
R. E. Sockett Mathematical modelling of quorum sensing
in bacteria . . . . . . . . . . . . . . 263--292
B. A. A. Orme and
S. R. Otto and
J. R. Blake Enhanced efficiency of feeding and
mixing due to chaotic flow patterns
around choanoflagellates . . . . . . . . 293--325
J. A. Vargas and
Rafael F. del Castillo Genetic associations under mixed mating
systems: the Bennett-Binet effect . . . 327--341
Damian R. Beil and
Lawrence M. Wein Analysis and comparison of multimodal
cancer treatments . . . . . . . . . . . 343--376
Wojciech Krzyzanski An application of a weak solution of the
cable equation to the Rall model of a
nerve cell . . . . . . . . . . . . . . . 377--407
Anonymous Acknowledgements . . . . . . . . . . . . 409--409
Anonymous Index to Volume 18 . . . . . . . . . . . 411--412
Anonymous Subject Index . . . . . . . . . . . . . 413--415
Helen Byrne and
Paul Matthews Asymmetric growth of models of avascular
solid tumours: exploiting symmetries . . 1--29
C. R. Canning and
M. J. Greaney and
J. N. Dewynne and
A. D. Fitt Fluid flow in the anterior chamber of a
human eye . . . . . . . . . . . . . . . 31--60
Y. H. Choi and
C. Comiskey and
M. D. A. Lindsay and
J. A. Cross and
M. Anderson Modelling the transmission dynamics of
Ross River virus in Southwestern
Australia . . . . . . . . . . . . . . . 61--74
M. J. Jeger and
F. van den Bosch and
M. Y. Dutmer Modelling plant virus epidemics in a
plantation-nursery system . . . . . . . 75--94
Piero Manfredi and
Ernesto Salinelli Population-induced oscillations in
blended SI-SEI epidemiological models 95--112
Hyun Mo Yang The effects of re-infection in directly
transmitted infections modelled with
vaccination . . . . . . . . . . . . . . 113--135
J. Chattopadhyay and
R. R. Sarkar and
A. el Abdllaoui A delay differential equation model on
harmful algal blooms in the presence of
toxic substances . . . . . . . . . . . . 137--161
A. Lamour and
F. van den Bosch and
A. J. Termorshuizen and
M. J. Jeger Quasi-steady state approximation to a
fungal growth model . . . . . . . . . . 163--183
Ezio Venturino Epidemics in predator--prey models:
disease in the predators . . . . . . . . 185--205
Graeme D. Ruxton and
Q. J. A. Khan and
Mohamed Al-Lawatia The stability of internal equilibria in
predator--prey models with breeding
suppression . . . . . . . . . . . . . . 207--219
H. de Arazoza and
R. Lounes A non-linear model for a sexually
transmitted disease with contact tracing 221--234
Gregory S. Zaric and
Margaret L. Brandeau Dynamic resource allocation for epidemic
control in multiple populations . . . . 235--255
Jonathan Swinton and
Bill Amos Is microsatellite mutational asymmetry
detectable in allele frequency
distributions? . . . . . . . . . . . . . 257--273
Henry G. Mwambi Ticks and tick-borne diseases in Africa:
a disease transmission model . . . . . . 275--292
Andrew C. Fowler and
G. P. Kalamangalam Periodic breathing at high altitude . . 293--313
R. J. Braun and
A. D. Fitt Modelling drainage of the precorneal
tear film after a blink . . . . . . . . 1--28
Nobuoki Eshima and
Minoru Tabata and
Tadashige Okada and
Shigeru Karukaya Population dynamics of HTLV-I infection:
a discrete-time mathematical epidemic
model approach . . . . . . . . . . . . . 29--45
S. J. Franks and
J. R. King Interactions between a uniformly
proliferating tumour and its
surroundings: uniform material
properties . . . . . . . . . . . . . . . 47--89
Jonathan P. Whiteley and
David J. Gavaghan Efficient computations of gas transport
in the respiratory tree . . . . . . . . 91--104
Sharene D. Bungay and
Patricia A. Gentry and
Rodney D. Gentry A mathematical model of lipid-mediated
thrombin generation . . . . . . . . . . 105--129
James Sneyd Computational Cell Biology . . . . . . . 131--133
Oliver E. Jensen and
John R. King and
James P. Keener Editorial . . . . . . . . . . . . . . . ??
M. J. Plank and
B. D. Sleeman A reinforced random walk model of tumour
angiogenesis and anti-angiogenic
strategies . . . . . . . . . . . . . . . 135--181
F. T. Smith and
M. A. Jones AVM modelling by multi-branching tube
flow: large flow rates and dual
solutions . . . . . . . . . . . . . . . 183--204
J. P. Whiteley and
D. J. Gavaghan and
C. E. W. Hahn Periodic breathing induced by arterial
oxygen partial pressure oscillations . . 205--224
Philip K. Maini Essential Mathematical Biology . . . . . 225--226
J. R. King and
A. J. Koerber and
J. M. Croft and
J. P. Ward and
P. Williams and
R. E. Sockett Modelling host tissue degradation by
extracellular bacterial pathogens . . . 227--260
Alun Thomas and
Chris Cannings Enumeration and simulation of marriage
node graphs on zero-loop pedigrees . . . 261--275
S. J. Franks and
H. M. Byrne and
H. S. Mudhar and
J. C. E. Underwood and
C. E. Lewis Mathematical modelling of comedo ductal
carcinoma in situ of the breast . . . . 277--308
Yujuan Zhang and
Bing Liu and
Lansun Chen Extinction and permanence of a two-prey
one-predator system with impulsive
effect . . . . . . . . . . . . . . . . . 309--325
Ao Yuan and
George E. Bonney Exact test of Hardy-Weinberg equilibrium
by Markov chain Monte Carlo . . . . . . 327--340
Helen Byrne and
Luigi Preziosi Modelling solid tumour growth using the
theory of mixtures . . . . . . . . . . . 341--366
Elena Solana-Arellano and
Hector Echavarria-Heras and
Margarita Gallegos Martinez Improved leaf area index based biomass
estimations for \bionameZostera marina
L. . . . . . . . . . . . . . . . . . . . 367--375
Lee A. Segel Book Review: J. D. Murray:
\booktitleMathematical Biology (3rd Ed),
Volume I (An Introduction) and Volume II
(Spatial Models and Biomedical
Applications) . . . . . . . . . . . . . 377--378
Anastasios Matzavinos and
Mark A. J. Chaplain and
Vladimir A. Kuznetsov Mathematical modelling of the
spatio-temporal response of cytotoxic
T-lymphocytes to a solid tumour . . . . 1--34
I. Kopoci\'nska and
B. Kopoci\'nski and
A. Okulewicz A class of distributions applicable to
the description of the number of
nematodes parasitizing birds . . . . . . 35--48
B. Basse and
G. C. Wake and
D. J. N. Wall and
B. van Brunt On a cell-growth model for plankton . . 49--61
Pejman Rohani and
Octavio Miramontes and
Matt J. Keeling The colour of noise in short ecological
time series data . . . . . . . . . . . . 63--72
Reviewed by Markus Owen Book Review, \booktitleModelling Neural
Development, Edited by Arjen van Ooyen,
xvi + 336 Pages, 96 Illustrations, The
MIT Press, Cambridge, Massachusetts,
2003, ISBN 0-262-22066-0 . . . . . . . . 73--74
Andrei Korobeinikov Lyapunov functions and global properties
for SEIR and SEIS epidemic models . . . 75--83
D. McInerney and
S. Schnell and
R. E. Baker and
P. K. Maini A mathematical formulation for the
cell-cycle model in somitogenesis:
analysis, parameter constraints and
numerical solutions . . . . . . . . . . 85--113
Mark M. Iles and
Chris Cannings Sequential genotyping within TDT
families . . . . . . . . . . . . . . . . 115--127
Bing Liu and
Lansun Chen The periodic competing Lotka--Volterra
model with impulsive effect . . . . . . 129--145
N. G. Cogan and
James P. Keener The role of the biofilm matrix in
structural development . . . . . . . . . 147--166
Reviewed by Kevin Painter Book Review: \booktitleDifferential
Equations and Mathematical Biology by D.
S. Jones and B. D. Sleeman CRC Press,
ISBN 1-58488-296-4 . . . . . . . . . . . 167--168
J. P. Ward and
J. R. King and
A. J. Koerber and
J. M. Croft and
R. E. Sockett and
P. Williams Cell-signalling repression in bacterial
quorum sensing . . . . . . . . . . . . . 169--204
Frank G. Ball and
Robin K. Milne and
Geoffrey F. Yeo A unified approach to burst properties
of multiconductance single ion channels 205--245
Qingping Deng and
Thomas G. Hallam Numerical approximations for an
age-structured model of a population
dispersing in a spatially heterogeneous
environment . . . . . . . . . . . . . . 247--268
Petro Babak and
Kjartan G. Magnússon and
Sven Sigurdsson Dynamics of group formation in
collective motion of organisms . . . . . 269--292
Aaron L. Fogelson and
Robert D. Guy Platelet-wall interactions in continuum
models of platelet thrombosis:
formulation and numerical solution . . . 293--334
Alun Thomas and
Chris Cannings Simulating realistic zero loop pedigrees
using a bipartite Prüfer code and
graphical modelling . . . . . . . . . . 335--345
D. Schley and
J. Billingham and
R. J. Marchbanks A model of in-vivo hydrocephalus shunt
dynamics for blockage and performance
diagnostics . . . . . . . . . . . . . . 347--368
D. J. Cole and
B. J. T. Morgan and
M. S. Ridout and
L. J. Byrne and
M. F. Tuite Estimating the number of prions in yeast
cells . . . . . . . . . . . . . . . . . 369--395
Anonymous Index to Volume 21 . . . . . . . . . . . 397--398
Kirill V. Tyurin and
Michael A. Khanin Optimality principle and determination
of kinetic constants for biochemical
reactions . . . . . . . . . . . . . . . 1--14
Yongwimon Lenbury and
Pornsarp Pornsawad A delay-differential equation model of
the feedback-controlled
hypothalamus-pituitary-adrenal axis in
humans . . . . . . . . . . . . . . . . . 15--33
C. Pozrikidis Resting shape and spontaneous membrane
curvature of red blood cells . . . . . . 34--52
J. M. Oliver and
J. R. King and
K. J. McKinlay and
P. D. Brown and
D. M. Grant and
C. A. Scotchford and
J. V. Wood Thin-film theories for two-phase
reactive flow models of active cell
motion . . . . . . . . . . . . . . . . . 53--98
P. S. Crooke and
K. Kongkul and
Y. Lenbury and
A. B. Adams and
C. S. Carter and
J. J. Marini and
J. R. Hotchkiss Mathematical models for pressure
controlled ventilation of oleic
acid-injured pigs . . . . . . . . . . . 99--112
Andrei Korobeinikov and
Philip K. Maini Non-linear incidence and stability of
infectious disease models . . . . . . . 113--128
Julien Arino and
Jonathan R. Davis and
David Hartley and
Richard Jordan and
Joy M. Miller and
P. van den Driessche A multi-species epidemic model with
spatial dynamics . . . . . . . . . . . . 129--142
Alexey S. Matveev and
Andrey V. Savkin Influence of tumours on normal cells and
optimal chemotherapy regimens: the case
of several drugs and toxicity
constraints . . . . . . . . . . . . . . 143--162
Alexander R. A. Anderson A hybrid mathematical model of solid
tumour invasion: the importance of cell
adhesion . . . . . . . . . . . . . . . . 163--186
Timothy C. Reluga Simple models of antibiotic cycling . . 187--208
R. Cubarsi and
M. M. Carrió and
A. Villaverde A mathematical approach to molecular
organization and proteolytic
disintegration of bacterial inclusion
bodies . . . . . . . . . . . . . . . . . 209--226
Steven M. White and
K. A. Jane White Applications of biological control in
resistant host-pathogen systems . . . . 227--245
Ben D. MacArthur and
Colin P. Please and
Graham J. Pettet A mathematical model of dynamic
glioma-host interactions:
receptor-mediated invasion and local
proteolysis . . . . . . . . . . . . . . 247--264
M. B. Jones and
C. P. Please and
D. L. S. McElwain and
G. R. Fulford and
A. P. Roberts and
M. J. Collins Dynamics of tear film deposition and
draining . . . . . . . . . . . . . . . . 265--288
Reviewed by N. F. Britton Review: \booktitleMathematical Models in
Biology: an Introduction . . . . . . . . 289--290
Dietmar Oelz and
Christian Schmeiser and
Alexander Soreff Multistep navigation of leukocytes: a
stochastic model with memory effects . . 291--303
A. I. Ibragimov and
C. J. McNeal and
L. R. Ritter and
J. R. Walton A mathematical model of atherogenesis as
an inflammatory response . . . . . . . . 305--333
Steffan Puwal and
Bradley J. Roth and
Serge Kruk Automating phase singularity
localization in mathematical models of
cardiac tissue dynamics . . . . . . . . 335--346
Rudolph L. Gleason, Jr. and
Jay D. Humphrey A $2$D constrained mixture model for
arterial adaptations to large changes in
flow, pressure and axial stretch . . . . 347--369
Ronald Begg and
David J. N. Wall and
Graeme C. Wake On a functional equation model of
transient cell growth . . . . . . . . . 371--390
James P. Keener Stochastic calcium oscillations . . . . 1--25
Alexander I. Oleinick and
Christian Amatore and
Manon Guille and
Stephane Arbault and
Oleksiy V. Klymenko and
Irina Svir Modelling release of nitric oxide in a
slice of rat's brain: describing
stimulated functional hyperemia with
diffusion--reaction equations . . . . . 27--44
John Dallon and
Wonhee Jang and
Richard H. Gomer Mathematically modelling the effects of
counting factor in \bionameDictyostelium
discoideum . . . . . . . . . . . . . . . 45--62
Michel Iskin da Silveira Costa and
Magno Enrique Mendoza Meza Application of a threshold policy in the
management of multispecies fisheries and
predator culling . . . . . . . . . . . . 63--75
Paul C. Bressloff and
Stephen Coombes Editorial . . . . . . . . . . . . . . . 77--78
Stephen J. Eglen Development of regular cellular spacing
in the retina: theoretical models . . . 79--99
Douglas R. McLean and
Bruce P. Graham Stability in a mathematical model of
neurite elongation . . . . . . . . . . . 101--117
Peter J. Thomas and
Jack D. Cowan Simultaneous constraints on pre- and
post-synaptic cells couple cortical
feature maps in a $2$D geometric model
of orientation preference . . . . . . . 119--138
Steven J. Cox An adjoint method for channel
localization . . . . . . . . . . . . . . 139--152
D. Golinelli and
P. Guttorp and
J. A. Abkowitz Bayesian inference in a hidden
stochastic two-compartment model for
feline hematopoiesis . . . . . . . . . . 153--172
Ben P. Marchant and
John Norbury and
Helen M. Byrne Biphasic behaviour in malignant invasion 173--196
M. A. J. Chaplain and
L. Graziano and
L. Preziosi Mathematical modelling of the loss of
tissue compression responsiveness and
its role in solid tumour development . . 197--229
Seyed M. Moghadas and
Murray E. Alexander Bifurcations of an epidemic model with
non-linear incidence and
infection-dependent removal rate . . . . 231--254
Michael E. Meyer-Hermann and
Philip K. Maini and
Dagmar Iber An analysis of B cell selection
mechanisms in germinal centers . . . . . 255--277
Vikrant Deshmukh and
Chris Cannings and
Alun Thomas Estimating the parameters of a model for
protein-protein interaction graphs . . . 279--295
Margherita Carletti Numerical simulation of a Campbell-like
stochastic delay model for bacteriophage
infection . . . . . . . . . . . . . . . 297--310
S. L. Waters and
L. J. Cummings and
K. M. Shakesheff and
F. R. A. J. Rose Tissue growth in a rotating bioreactor.
Part I: mechanical stability . . . . . . 311--337
Ian Sobey and
Benedikt Wirth Effect of non-linear permeability in a
spherically symmetric model of
hydrocephalus . . . . . . . . . . . . . 339--361
Benedikt Wirth and
Ian Sobey An axisymmetric and fully $3$D
poroelastic model for the evolution of
hydrocephalus . . . . . . . . . . . . . 363--388
Frithjof Lutscher Book Review: \booktitleExactly Solvable
Models for Biological Invasion by S.
Petrovskii and B.-L. Li . . . . . . . . 389--390
Kevin Burrage Book Review: \booktitleStochastic
Modelling for Systems Biology by Darren
J. Wilkinson . . . . . . . . . . . . . . 391--392
I. A. Moneim Seasonally varying epidemics with and
without latent period: a comparative
simulation study . . . . . . . . . . . . 1--15
Robert K. McCormack and
Linda J. S. Allen Disease emergence in multi-host epidemic
models . . . . . . . . . . . . . . . . . 17--34
Justino Alavez-Ram\'ìrez and
J. Rogelio Avendano Castellanos and
Lourdes Esteva and
José Antonio Flores and
José Luis Fuentes-Allen and
Gisela Garc\'ìa-Ramos and
Guillermo Gómez and
Jesús López-Estrada Within-host population dynamics of
antibiotic-resistant \bionameM.
tuberculosis . . . . . . . . . . . . . . 35--56
G. Lemon and
J. R. King Multiphase modelling of cell behaviour
on artificial scaffolds: effects of
nutrient depletion and spatially
nonuniform porosity . . . . . . . . . . 57--83
Scott A. Stevens and
Michelle Previte and
William D. Lakin and
Nimish J. Thakore and
Paul L. Penar and
Brandon Hamschin Idiopathic intracranial hypertension and
transverse sinus stenosis: a modelling
study . . . . . . . . . . . . . . . . . 85--109
Robert D. Guy and
Aaron L. Fogelson and
James P. Keener Fibrin gel formation in a shear flow . . 111--130
Desmond J. Higham and
Gabriela Kalna and
J. Keith Vass Spectral analysis of two-signed
microarray expression data . . . . . . . 131--148
Nobuoki Eshima and
Minoru Tabata and
Tadashige Okada Why is the distribution of HTLV-I
carriers geographically biased? An
answer through a mathematical epidemic
model . . . . . . . . . . . . . . . . . 149--167
L. J. Cummings and
S. L. Waters Tissue growth in a rotating bioreactor.
Part II: fluid flow and nutrient
transport problems . . . . . . . . . . . 169--208
Dirk Hartmann and
Takashi Miura Mathematical analysis of a free-boundary
model for lung branching morphogenesis 209--224
T. Aittokallio and
M. Gyllenberg and
O. Polo and
A. Virkki Parameter estimation of a respiratory
control model from noninvasive carbon
dioxide measurements during sleep . . . 225--249
Naveen K. Vaidya and
Huaxiong Huang and
Shu Takagi Modelling HA protein-mediated
interaction between an influenza virus
and a healthy cell: pre-fusion membrane
deformation . . . . . . . . . . . . . . 251--270
Wojciech Krzyzanski and
Jonathan Bell Modelling the geometric features and
investigating electrical properties of
dendrites in a fish thalamic neuron . . 271--286
D. Rodríguez-Pérez and
Oscar Sotolongo-Grau and
Ramón Espinosa Riquelme and
Oscar Sotolongo-Costa and
J. Antonio Santos Miranda and
J. C. Antoranz Assessment of cancer immunotherapy
outcome in terms of the immune response
time features . . . . . . . . . . . . . 287--300
Samrat Chatterjee and
Kusumika Kundu and
J. Chattopadhyay Role of horizontal incidence in the
occurrence and control of chaos in an
eco-epidemiological system . . . . . . . 301--326
Jonathan P. Whiteley and
David J. Gavaghan and
S. Jonathan Chapman and
J. Michael Brady Non-linear modelling of breast tissue 327--345
A. Heryudono and
R. J. Braun and
T. A. Driscoll and
K. L. Maki and
L. P. Cook and
P. E. King-Smith Single-equation models for the tear film
in a blink cycle: realistic lid motion 347--377
S. R. Pop and
G. Richardson and
S. L. Waters and
O. E. Jensen Shock formation and non-linear
dispersion in a microvascular capillary
network . . . . . . . . . . . . . . . . 379--400
Tom Britton and
Bodil Svennblad and
Per Erixon and
Bengt Oxelman Bayesian support is larger than
bootstrap support in phylogenetic
inference: a mathematical argument . . . 401--411
K. R. Robbins and
W. Zhang and
J. K. Bertrand and
R. Rekaya The ant colony algorithm for feature
selection in high-dimension gene
expression data for disease
classification . . . . . . . . . . . . . 413--426
Christelle Magal and
Chris Cosner and
Shigui Ruan and
J. Casas Control of invasive hosts by generalist
parasitoids . . . . . . . . . . . . . . 1--20
John W. Cain and
David G. Schaeffer Shortening of cardiac action potential
duration near an insulating boundary . . 21--36
N. Bairagi and
Samrat Chatterjee and
J. Chattopadhyay Variability in the secretion of
corticotropin-releasing hormone,
adrenocorticotropic hormone and cortisol
and understandability of the
hypothalamic-pituitary-adrenal axis
dynamics --- a mathematical study based
on clinical evidence . . . . . . . . . . 37--63
Hilary DeRemigio and
Jeffrey R. Groff and
Gregory D. Smith Calcium release site ultrastructure and
the dynamics of puffs and sparks . . . . 65--85
Camillo Cammarota and
Mario Curione Analysis of extrema of heartbeat time
series in exercise test . . . . . . . . 87--97
Huiyan Zhu and
Xingfu Zou Impact of delays in cell infection and
virus production on HIV-1 dynamics . . . 99--112
Benedikt Wirth and
Ian Sobey A model for an inverse power
constitutive law for cerebral compliance 113--131
George Dassios Neuronal currents and EEG-MEG fields . . 133--139
Umberto Picchini and
Susanne Ditlevsen and
Andrea De Gaetano Maximum likelihood estimation of a
time-inhomogeneous stochastic
differential model of glucose dynamics 141--155
Eunok Jung and
Suzanne Lenhart and
Vladimir Protopopescu and
Charles Babbs Optimal control applied to a
thoraco--abdominal CPR model . . . . . . 157--170
Sara J. González and
Daniel G. Carando A general tumour control probability
model for non-uniform dose distributions 171--184
A. R. A. Anderson and
M. A. J. Chaplain and
K. A. Rejniak and
J. A. Fozard Single-cell-based models in biology and
medicine . . . . . . . . . . . . . . . . 185--186
K. L. Maki and
R. J. Braun and
T. A. Driscoll and
P. E. King-Smith An overset grid method for the study of
reflex tearing . . . . . . . . . . . . . 187--214
K. Renee Fister and
Maeve L. McCarthy Identification of a chemotactic
sensitivity in a coupled system . . . . 215--232
Andrew Matteson An enzyme kinetic model of blood island
formation . . . . . . . . . . . . . . . 233--245
Ying-Hen Hsieh and
Chin-Kuei Hsiao Predator--prey model with disease
infection in both populations . . . . . 247--266
Robert A. Gatenby and
B. Roy Frieden Inducing catastrophe in malignant growth 267--283
Patrick De Leenheer and
Sergei S. Pilyugin Multistrain virus dynamics with
mutations: a global analysis . . . . . . 285--322
M. J. Tindall and
M. A. Peletier and
N. M. W. Severens and
D. J. Veldman and
B. A. J. M. de Mol Understanding post-operative temperature
drop in cardiac surgery: a mathematical
model . . . . . . . . . . . . . . . . . 323--335
Alberto d'Onofrio and
Piero Manfredi and
Ernesto Salinelli Fatal SIR diseases and rational
exemption to vaccination . . . . . . . . 337--357
Antonella Lunelli and
Andrea Pugliese Evaluating the effectiveness of
antiviral treatment in models for
influenza pandemic . . . . . . . . . . . 359--372
Jennifer H. Siggers and
Sarah Waters and
Jonathan Wattis and
Linda Cummings Flow dynamics in a stented ureter . . . 1--24
Benedikt Wirth and
Ian Sobey Analytic solution during an infusion
test of the linear unsteady poroelastic
equations in a spherically symmetric
model of the brain . . . . . . . . . . . 25--61
Alberto D'Onofrio and
Alberto Gandolfi A family of models of angiogenesis and
anti-angiogenesis anti-cancer therapy 63--95
Yongzhen Pei and
Yong Yang and
Changguo Li and
Lansun Chen Pest management of a prey-predator model
with sexual favoritism . . . . . . . . . 97--115
Pavol Bokes and
John R. King and
Matthew Loose A bistable genetic switch which does not
require high co-operativity at the
promoter: a two-timescale model for the
PU.1-GATA-1 interaction . . . . . . . . 117--132
Paul N. Watton and
Yiannis Ventikos and
Gerhard A. Holzapfel Modelling the growth and stabilization
of cerebral aneurysms . . . . . . . . . 133--164
Stephen L. Keeling and
Georg Propst and
Georg Stadler and
Werner Wackernagel A mathematical model for the deformation
of the eyeball by an elastic band . . . 165--185
Macarena Trujillo and
María J. Rivera and
Juan A. López Molina and
Enrique J. Berjano Analytical thermal-optic model for laser
heating of biological tissue using the
hyperbolic heat transfer equation . . . 187--200
G. Richardson A multiscale approach to modelling
electrochemical processes occurring
across the cell membrane with
application to transmission of action
potentials . . . . . . . . . . . . . . . 201--224
Andrei Korobeinikov Global asymptotic properties of virus
dynamics models with dose-dependent
parasite reproduction and virulence and
non-linear incidence rate . . . . . . . 225--239
Abbey J. Trewenack and
Colin P. Please and
Kerry A. Landman A continuum model for the development of
tissue-engineered cartilage around a
chondrocyte . . . . . . . . . . . . . . 241--262
Marissa S. Fallon and
Brett A. Howell and
Anuj Chauhan Importance of Taylor dispersion in
pharmacokinetic and multiple indicator
dilution modelling . . . . . . . . . . . 263--296
O. Sotolongo-Grau and
D. Rodríguez-Pérez and
J. A. Santos-Miranda and
O. Sotolongo-Costa and
J. C. Antoranz Immune system-tumour efficiency ratio as
a new oncological index for radiotherapy
treatment optimization . . . . . . . . . 297--307
Andrei Korobeinikov Stability of ecosystem: global
properties of a general predator--prey
model . . . . . . . . . . . . . . . . . 309--321
Christopher M. Danforth and
Thomas Orfeo and
Kenneth G. Mann and
Kathleen E. Brummel-Ziedins and
Stephen J. Everse The impact of uncertainty in a blood
coagulation model . . . . . . . . . . . 323--336
Orit Lavi and
Yoram Louzoun What cycles the cell? --- Robust
autonomous cell cycle models . . . . . . 337--359
Rudolf T. Hoogenveen and
Pieter H. M. van Baal and
Hendriek C. Boshuizen Chronic disease projections in
heterogeneous ageing populations:
approximating multi-state models of
joint distributions by modelling
marginal distributions . . . . . . . . . 1--19
Ricardo Romero-Méndez and
Joel N. Jiménez-Lozano and
Mihir Sen and
F. Javier González Analytical solution of the Pennes
equation for burn-depth determination
from infrared thermographs . . . . . . . 21--38
J. A. Fozard and
H. M. Byrne and
O. E. Jensen and
J. R. King Continuum approximations of
individual-based models for epithelial
monolayers . . . . . . . . . . . . . . . 39--74
Mainul Haque and
David Greenhalgh When a predator avoids infected prey: a
model-based theoretical study . . . . . 75--94
R. D. O'Dea and
S. L. Waters and
H. M. Byrne A multiphase model for tissue construct
growth in a perfusion bioreactor . . . . 95--127
Martin Kroon A constitutive model for smooth muscle
including active tone and passive
viscoelastic behaviour . . . . . . . . . 129--155
Urszula Ledzewicz and
John Marriott and
Helmut Maurer and
Heinz Schättler Realizable protocols for optimal
administration of drugs in mathematical
models for anti-angiogenic treatment . . 157--179
Monica Musio and
Erik A. Sauleau and
Antoine Buemi Bayesian semi-parametric ZIP models with
space-time interactions: an application
to cancer registry data . . . . . . . . 181--194
Beno\^\it Perthame and
Mathias Gauduchon Survival thresholds and mortality rates
in adaptive dynamics: conciliating
deterministic and stochastic simulations 195--210
Katlyn N. Winter and
Daniel M. Anderson and
Richard J. Braun A model for wetting and evaporation of a
post-blink precorneal tear film . . . . 211--225
Kara L. Maki and
Richard J. Braun and
William D. Henshaw and
P. Ewen King-Smith Tear film dynamics on an eye-shaped
domain I: pressure boundary conditions 227--254
A. Chauviere and
L. Preziosi and
H. Byrne A model of cell migration within the
extracellular matrix based on a
phenotypic switching mechanism . . . . . 255--281
Alun Thomas The conditional independences between
variables derived from two independent
identically distributed Markov random
fields when pairwise order is ignored 283--288
Gennady Mikhasev and
Sergey Ermochenko and
Matthias Bornitz On the strain-stress state of the
reconstructed middle ear after inserting
a malleus-incus prosthesis . . . . . . . 289--312
Adrian Maler and
Frithjof Lutscher Cell-cycle times and the tumour control
probability . . . . . . . . . . . . . . 313--342
L. Cardamone and
A. Valentín and
J. F. Eberth and
J. D. Humphrey Modelling carotid artery adaptations to
dynamic alterations in pressure and flow
over the cardiac cycle . . . . . . . . . 343--371
Hasnaa Fatehi and
Michael Meyer-Hermann and
Marc Thilo Figge Modelling cellular aggregation induced
by chemotaxis and phototaxis . . . . . . 373--384
Sean McGinty and
Sean McKee and
Roger M. Wadsworth and
Christopher McCormick Modelling drug-eluting stents . . . . . 1--29
Lili Lu Optimal control of input rates of
Stein's models . . . . . . . . . . . . . 31--46
Karin Leiderman and
Aaron L. Fogelson Grow with the flow: a spatial-temporal
model of platelet deposition and blood
coagulation under flow . . . . . . . . . 47--84
Alexander Gorban and
Sergei Petrovskii Collective dynamics: when one plus one
does not make two . . . . . . . . . . . 85--88
Georgy P. Karev and
Artem S. Novozhilov and
Faina S. Berezovskaya On the asymptotic behaviour of the
solutions to the replicator equation . . 89--110
Malay Banerjee Spatial pattern formation in
ratio-dependent model: higher-order
stability analysis . . . . . . . . . . . 111--128
Faina Berezovskaya and
S. Wirkus and
B. Song and
C. Castillo-Chavez Dynamics of population communities with
prey migrations and Allee effects: a
bifurcation approach . . . . . . . . . . 129--152
Horst Malchow and
Alex James and
Richard Brown Competition and diffusive invasion in a
noisy environment . . . . . . . . . . . 153--163
Igor Sazonov and
Mark Kelbert and
Michael B. Gravenor Travelling waves in a network of SIR
epidemic nodes with an approximation of
weak coupling . . . . . . . . . . . . . 165--183
Andrew Morozov and
Elena Arashkevich and
Anastasia Nikishina and
Konstantin Solovyev Nutrient-rich plankton communities
stabilized via predator--prey
interactions: revisiting the role of
vertical heterogeneity . . . . . . . . . 185--215
E. P. Zemskov and
I. R. Epstein and
A. Muntean Oscillatory pulses in FitzHugh--Nagumo
type systems with cross-diffusion . . . 217--226
Yanni Xiao and
Yicang Zhou and
Sanyi Tang Modelling disease spread in dispersal
networks at two levels . . . . . . . . . 227--244
N. Hussaini and
M. Winter and
A. B. Gumel Qualitative assessment of the role of
public health education program on HIV
transmission dynamics . . . . . . . . . 245--270
Ilari Shafer and
Rachel Nancollas and
Morgan Boes and
Alisha L. Sieminski and
John B. Geddes Stability of a microvessel subject to
structural adaptation of diameter and
wall thickness . . . . . . . . . . . . . 271--286
L. V. Kalachev and
T. C. Kelly and
M. J. O'Callaghan and
A. V. Pokrovskii and
A. V. Pokrovskiy Analysis of threshold-type behaviour in
mathematical models of the intrusion of
a novel macroparasite in a host colony 287--333
Jean M. Tchuenche and
Christinah Chiyaka and
David Chan and
Amanda Matthews and
Ghislaine Mayer A mathematical model for antimalarial
drug resistance . . . . . . . . . . . . 335--355
Eleanor A. J. Boston and
Eamonn A. Gaffney The influence of toxicity constraints in
models of chemotherapeutic protocol
escalation . . . . . . . . . . . . . . . 357--384
Katarzyna A. Rejniak and
Alexander R. A. Anderson State of the art in computational
modelling of cancer . . . . . . . . . . 1--2
Tomás Alarcón and
Henrik Jeldtoft Jensen Invasion in multi-type populations: the
role of phenotypic robustness and
fluctuations . . . . . . . . . . . . . . 3--20
Heiko Enderling and
Lynn Hlatky and
Philip Hahnfeldt The promoting role of a tumour-secreted
chemorepellent in self-metastatic tumour
progression . . . . . . . . . . . . . . 21--29
S. Gu and
G. Chakraborty and
K. Champley and
A. M. Alessio and
J. Claridge and
R. Rockne and
M. Muzi and
K. A. Krohn and
A. M. Spence and
E. C. Alvord and
A. R. A. Anderson and
P. E. Kinahan and
K. R. Swanson Applying a patient-specific
bio-mathematical model of glioma growth
to develop virtual [18F]-FMISO-PET
images . . . . . . . . . . . . . . . . . 31--48
H. Hatzikirou and
D. Basanta and
M. Simon and
K. Schaller and
A. Deutsch `Go or Grow': the key to the emergence
of invasion in tumour progression? . . . 49--65
Katarzyna A. Rejniak and
Vito Quaranta and
Alexander R. A. Anderson Computational investigation of intrinsic
and extrinsic mechanisms underlying the
formation of carcinoma . . . . . . . . . 67--84
Marianne O. Stefanini and
Amina A. Qutub and
Feilim Mac Gabhann and
Aleksander S. Popel Computational models of VEGF-associated
angiogenic processes in cancer . . . . . 85--94
Zhihui Wang and
Veronika Bordas and
Jonathan Sagotsky and
Thomas S. Deisboeck Identifying therapeutic targets in a
combined EGFR-TGF$ \beta $R signalling
cascade using a multiscale agent-based
cancer model . . . . . . . . . . . . . . 95--108
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Hector Echavarria-Heras and
Elena Solana-Arellano and
Cecilia Leal-Ramirez Surface aggregation patterns of LDL
receptors near coated pits II. The
retrograde membrane flow-diffusion and
generalized plaque-form insertion
mechanism . . . . . . . . . . . . . . . 109--130
Guillermo Ayala and
María Concepción López-Díaz and
Miguel López-Díaz and
Lucía Martínez-Costa Studying hypertension in ocular fundus
images using Hausdorff dispersion
ordering . . . . . . . . . . . . . . . . 131--143
K. P. Wilkie and
C. S. Drapaca and
S. Sivaloganathan Aging impact on brain biomechanics with
applications to hydrocephalus . . . . . 145--161
J. C. Arciero and
T. W. Secomb Spontaneous oscillations in a model for
active control of microvessel diameters 163--180
C. Giverso and
L. Preziosi Modelling the compression and
reorganization of cell aggregates . . . 181--204
S. Corson and
D. Greenhalgh and
S. Hutchinson Mathematically modelling the spread of
hepatitis C in injecting drug users . . 205--230
H. R. Noori The effects of the acute administration
of low-dosage ethanol on the phasic
neurochemical oscillations of the basal
ganglia . . . . . . . . . . . . . . . . 231--244
Giao T. Huynh and
Frederick R. Adler Mathematical modelling the age
dependence of Epstein-Barr virus
associated infectious mononucleosis . . 245--261
Makoto Iima and
Toshiyuki Nakagaki Peristaltic transport and mixing of
cytosol through the whole body of
\bionamePhysarum plasmodium . . . . . . 263--281
Jinliang Wang and
Gang Huang and
Yasuhiro Takeuchi Global asymptotic stability for HIV-1
dynamics with two distributed delays . . 283--300
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Pak-Wing Fok Growth of necrotic cores in
atherosclerotic plaque . . . . . . . . . 301--327
Rebecca J. Shipley and
Sarah L. Waters Fluid and mass transport modelling to
drive the design of cell-packed hollow
fibre bioreactors for tissue engineering
applications . . . . . . . . . . . . . . 329--359
Martin Berglund and
Mikael Sunnåker and
Martin Adiels and
Mats Jirstrand and
Bernt Wennberg Investigations of a compartmental model
for leucine kinetics using non-linear
mixed effects models with ordinary and
stochastic differential equations . . . 361--384
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Jiafen Gong and
Mairon M. Dos Santos and
Chris Finlay and
Thomas Hillen Are more complicated tumour control
probability models better? . . . . . . . 1--19
Muhammad Shakeel and
Paul C. Matthews and
Richard S. Graham and
Sarah L. Waters A continuum model of cell proliferation
and nutrient transport in a perfusion
bioreactor . . . . . . . . . . . . . . . 21--44
Michael J. Moulton and
Timothy W. Secomb A low-order model for left ventricle
dynamics throughout the cardiac cycle 45--63
Cruz Vargas-De-Leóon and
Andrei Korobeinikov Global stability of a population
dynamics model with inhibition and
negative feedback . . . . . . . . . . . 65--72
S. Chaudhuri and
A. Costamagna and
E. Venturino Ecoepidemics overcoming the species
barrier and being subject to harvesting 73--93
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R. D. O'Dea and
J. R. King The isolation of spatial patterning
modes in a mathematical model of
juxtacrine cell signalling . . . . . . . 95--113
Wanda Strychalski and
Robert D. Guy A computational model of bleb formation 115--130
Jennifer R. Zierenberg and
David Halpern and
Marcel Filoche and
Bernard Sapoval and
James B. Grotberg An asymptotic model of particle
deposition at an airway bifurcation . . 131--156
Almut Eisenträger and
Ian Sobey and
Marek Czosnyka Parameter estimations for the
cerebrospinal fluid infusion test . . . 157--174
Martin Kohlmann Analysis of a mathematical model for the
growth of cancer cells . . . . . . . . . 175--189
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Hwayeon Ryu and
Anita T. Layton Effect of tubular inhomogeneities on
feedback-mediated dynamics of a model of
a thick ascending limb . . . . . . . . . 191--212
Chih-Yuan Chen and
Kuan-Chih Hsiau and
C. A. Chung Measurement of chondrocyte chemotaxis
using a Boyden chamber: a model of
receptor-mediated cell migration
combined with cell sedimentation . . . . 213--239
L. S. Kimpton and
J. P. Whiteley and
S. L. Waters and
J. R. King and
J. M. Oliver Multiple travelling-wave solutions in a
minimal model for cell motility . . . . 241--272
A. V. Kuznetsov Modelling of axonal cargo rerouting in a
dendrite . . . . . . . . . . . . . . . . 273--285
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Oliver Jensen and
Jim Keener and
John King \booktitleMathematical Medicine &
Biology: a Journal of the IMA Best Paper
Prize . . . . . . . . . . . . . . . . . ??
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William J. Bottega and
Peter L. Bishay and
Jonathan L. Prenner and
Howard F. Fine On the mechanics of a detaching retina 287--310
Michelle Baker and
Sarah Denman-Johnson and
Bindi S. Brook and
Ian Gaywood and
Markus R. Owen Mathematical modelling of
cytokine-mediated inflammation in
rheumatoid arthritis . . . . . . . . . . 311--337
Z. Ismail and
A. D. Fitt and
C. P. Please A fluid mechanical explanation of the
spontaneous reattachment of a previously
detached Descemet membrane . . . . . . . 339--355
Tuoi T. N. Vo and
Martin G. Meere Minimizing the passive release of
heparin-binding growth factors from an
affinity-based delivery system . . . . . 357--382
Philip D. O'Neill Book Review: \booktitleMathematical
Tools for Understanding Infectious
Disease Dynamics by O. Diekmann, H.
Heesterbeek and T. Britton, Princeton
University Press, pp. 516, ISBN
978-0-691-15539-5 . . . . . . . . . . . 383--383
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Jennifer Young and
Béatrice Rivi\`ere and
Charles S. Cox, Jr. and
Karen Uray A mathematical model of intestinal
oedema formation . . . . . . . . . . . . 1--15
Brittany E. Bannish and
James P. Keener and
Aaron L. Fogelson Modelling fibrinolysis: a $3$D
stochastic multiscale model . . . . . . 17--44
Brittany E. Bannish and
James P. Keener and
Michael Woodbury and
John W. Weisel and
Aaron L. Fogelson Modelling fibrinolysis: $1$D continuum
models . . . . . . . . . . . . . . . . . 45--64
C. Y. Chen and
J. P. Ward A mathematical model for the human
menstrual cycle . . . . . . . . . . . . 65--86
Martial L. Ndeffo Mbah and
Christopher A. Gilligan Optimal control of disease infestations
on a lattice . . . . . . . . . . . . . . 87--97
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B. S. Brook and
O. E. Jensen The role of contractile unit
reorganization in force generation in
airway smooth muscle . . . . . . . . . . 99--124
Laureen Ribassin-Majed and
Rachid Lounes and
Stephan Clemençon Deterministic modelling for transmission
of Human Papillomavirus 6/11: impact of
vaccination . . . . . . . . . . . . . . 125--149
Andrew L. Nevai and
Edy Soewono A model for the spatial transmission of
dengue with daily movement between
villages and a city . . . . . . . . . . 150--178
J. K. Miller and
J. S. Brantner and
C. Clemons and
K. L. Kreider and
A. Milsted and
P. Wilber and
Y. H. Yun and
W. J. Youngs and
G. Young and
H. T. Badawy and
A. Milsted and
C. Clemons and
K. L. Kreider and
P. Wilber and
G. Young and
Y. H. Yun and
P. O. Wagers and
W. J. Youngs Mathematical modelling of
\bionamePseudomonas aeruginosa biofilm
growth and treatment in the cystic
fibrosis lung . . . . . . . . . . . . . 179--204
Kenneth H. M. Nielsen and
Flemming M. Pociot and
Johnny T. Ottesen Bifurcation analysis of an existing
mathematical model reveals novel
treatment strategies and suggests
potential cure for type 1 diabetes . . . 205--225
Balamurugan Pandiyan and
Stephen J. Merrill and
Salvatore Benvenga A patient-specific model of the
negative-feedback control of the
hypothalamus--pituitary--thyroid (HPT)
axis in autoimmune (Hashimoto's)
thyroiditis . . . . . . . . . . . . . . 226--258
Ricardo Ruiz-Baier and
Alessio Gizzi and
Simone Rossi and
Christian Cherubini and
Aymen Laadhari and
Simonetta Filippi and
Alfio Quarteroni Mathematical modelling of active
contraction in isolated cardiomyocytes 259--283
Sebastian Anita and
Jérôme Casas and
Christelle Suppo Impulsive spatial control of invading
pests by generalist predators . . . . . 284--301
Christopher H. Remien and
Norman L. Sussman and
Frederick R. Adler Mathematical modelling of chronic
acetaminophen metabolism and liver
injury . . . . . . . . . . . . . . . . . 302--317
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L. Rene I. Fabregas and
J. Rubinstein A mathematical model for the progression
of dental caries . . . . . . . . . . . . 319--337
Karim Khader and
Molly Leecaster and
Tom Greene and
Matthew Samore and
Alun Thomas Improved hidden Markov model for
nosocomial infections . . . . . . . . . 338--352
James G. Dowty and
Graham B. Byrnes and
Dorota M. Gertig The time-evolution of DCIS size
distributions with applications to
breast cancer growth and progression . . 353--364
Nakeya D. Williams and
Òistein Wind-Willassen and
Andrew A. Wright and
Jesper Mehlsen and
Johnny T. Ottesen and
Mette S. Olufsen Patient-specific modelling of head-up
tilt . . . . . . . . . . . . . . . . . . 365--392
Natalie C. Pearson and
Rebecca J. Shipley and
Sarah L. Waters and
James M. Oliver Multiphase modelling of the influence of
fluid flow and chemical concentration on
tissue growth in a hollow fibre membrane
bioreactor . . . . . . . . . . . . . . . 393--430
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Francesco Costanzo and
James G. Brasseur The invalidity of the Laplace law for
biological vessels and of estimating
elastic modulus from total stress vs.
strain: a new practical method . . . . . 1--37
Anastasia Ushakova and
Frank Olav Pettersen and
Arild Mæland and
Bo Henry Lindqvist and
Dag Kvale Bayesian estimation of HIV-1 dynamics in
vivo . . . . . . . . . . . . . . . . . . 39--56
E. A. Gaffney and
S. Seirin Lee The sensitivity of Turing
self-organization to biological feedback
delays: $2$D models of fish pigmentation 57--79
Alun Thomas and
Andrew Redd and
Karim Khader and
Molly Leecaster and
Tom Greene and
Matthew Samore Efficient parameter estimation for
models of healthcare-associated pathogen
transmission in discrete and continuous
time . . . . . . . . . . . . . . . . . . 81--100
Tom Britton and
Pieter Trapman Inferring global network properties from
egocentric data with applications to
epidemics . . . . . . . . . . . . . . . 101--114
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Yanyan Li and
Moxun Tang and
Jianshe Yu Transcription dynamics of inducible
genes modulated by negative regulations 115--136
Joseph M. Lakawicz and
William J. Bottega and
Jonathan L. Prenner and
Howard F. Fine An analysis of the mechanical behaviour
of a detaching retina . . . . . . . . . 137--161
Sean McGinty and
Sean McKee and
Christopher McCormick and
Marcus Wheel Release mechanism and parameter
estimation in drug-eluting stent
systems: analytical solutions of drug
release and tissue transport . . . . . . 163--186
Larisse Bolton and
Alain H. J. J. Cloot and
Schalk W. Schoombie and
Jacobus P. Slabbert A proposed fractional-order Gompertz
model and its application to tumour
growth data . . . . . . . . . . . . . . 187--209
Kevin Talbott and
Amber Xu and
Daniel M. Anderson and
Padmanabhan Seshaiyer Modelling the evaporation of a tear film
over a contact lens . . . . . . . . . . 209--238
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Alicia Mart\'ìnez-González and
Mario Durán-Prado and
Gabriel F. Calvo and
Francisco J. Alca\'ìn and
Luis A. Pérez-Romasanta and
V\'ìctor M. Pérez-Garc\'ìa Combined therapies of antithrombotics
and antioxidants delay in silico brain
tumour progression . . . . . . . . . . . 239--262
I. A. Kuznetsov and
A. V. Kuznetsov A comparison between the
diffusion--reaction and slow axonal
transport models for predicting tau
distribution along an axon . . . . . . . 263--283
Angela M. Jarrett and
N. G. Cogan and
M. E. Shirtliff Modelling the interaction between the
host immune response, bacterial dynamics
and inflammatory damage in comparison
with immunomodulation and vaccination
experiments . . . . . . . . . . . . . . 285--306
V\'ìctor M. Pérez-Garc\'ìa and
Magdalena Bogdanska and
Alicia Mart\'ìnez-González and
Juan Belmonte-Beitia and
Philippe Schucht and
Luis A. Pérez-Romasanta Delay effects in the response of
low-grade gliomas to radiotherapy: a
mathematical model and its therapeutical
implications . . . . . . . . . . . . . . 307--329
Joshua V. Ross and
Andrew J. Black Contact tracing and antiviral
prophylaxis in the early stages of a
pandemic: the probability of a major
outbreak . . . . . . . . . . . . . . . . 331--343
R. D. O'Dea and
M. R. Nelson and
A. J. El Haj and
S. L. Waters and
H. M. Byrne A multiscale analysis of nutrient
transport and biological tissue growth
in vitro . . . . . . . . . . . . . . . . 345--366
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Andrea Arnold and
Daniela Calvetti and
Albert Gjedde and
Peter Iversen and
Erkki Somersalo Astrocytic tracer dynamics estimated
from [1-$^{11}$ C]-acetate PET
measurements . . . . . . . . . . . . . . 367--382
Daniela Bertacchi and
Fabio Zucca and
Sergio Foresti and
Davide Mangioni and
Andrea Gori Combination versus sequential
monotherapy in chronic HBV infection: a
mathematical approach . . . . . . . . . 383--403
Peng Du and
Niranchan Paskaranandavadivel and
Greg O'Grady and
Shou-Jiang Tang and
Leo K. Cheng A theoretical study of the initiation,
maintenance and termination of gastric
slow wave re-entry . . . . . . . . . . . 405--423
Ralph Brinks and
Sandra Landwehr A new relation between prevalence and
incidence of a chronic disease . . . . . 425--435
Gurumayum Reenaroy Devi and
Md. Jahoor Alam and
R. K. Brojen Singh Synchronization in stress p53 network 437--456
Catheryn W. Gray and
Adelle C. F. Coster A receptor state space model of the
insulin signalling system in glucose
transport . . . . . . . . . . . . . . . 457--473
Vladimir M. Markovi\'c and
\vZeljko \vCupi\'c and
Stevan Ma\'ce\vsi\'c and
Ana Stanojevi\'c and
Vladana Vukojevi\'c and
Ljiljana Kolar-Ani\'c Modelling cholesterol effects on the
dynamics of the
hypothalamic--pituitary--adrenal (HPA)
axis . . . . . . . . . . . . . . . . . . 1--28
Julien Arino and
Chengjun Sun and
Wei Yang Revisiting a two-patch SIS model with
infection during transport . . . . . . . 29--55
Ana I. Muñoz Numerical resolution of a model of
tumour growth . . . . . . . . . . . . . 57--85
Ioannis Sgouralis and
Anita T. Layton Conduction of feedback-mediated signal
in a computational model of coupled
nephrons . . . . . . . . . . . . . . . . 87--106
Alagu Thilagam Mathematical modelling of decline in
follicle pool during female reproductive
ageing . . . . . . . . . . . . . . . . . 107--121
Longfei Li and
Richard J. Braun and
Tobin A. Driscoll and
William D. Henshaw and
Jeffrey W. Banks and
P. Ewen King-Smith Computed tear film and osmolarity
dynamics on an eye-shaped domain . . . . 123--157
Svetlana Bunimovich-Mendrazitsky and
Sarel Halachmi and
Natalie Kronik Improving Bacillus Calmette--Guérin (BCG)
immunotherapy for bladder cancer by
adding interleukin 2 (IL-2): a
mathematical model . . . . . . . . . . . 159--188
S. P. Showa and
F. Nyabadza and
S. D. Hove-Musekwa and
G. Magombedze Exploring the benefits of antibody
immune response in HIV-1 infection using
a discrete model . . . . . . . . . . . . 189--210
Fatemeh Saberian and
Archis Ghate and
Minsun Kim Optimal fractionation in radiotherapy
with multiple normal tissues . . . . . . 211--252
Víctor M. Pérez-García and
Luis A. Pérez-Romasanta Extreme protraction for low-grade
gliomas: theoretical proof of concept of
a novel therapeutical strategy . . . . . 253--271
George Dassios and
Vasiliki Christina Panagiotopoulou On the stability of a spherical tumour 273--293
V. M. Veliov and
A. Widder Aggregation and asymptotic analysis of
an SI-epidemic model for heterogeneous
populations . . . . . . . . . . . . . . 295--318
Subhadip Paul and
Prasun Kumar Roy Strategy for stochastic dose-rate
induced enhanced elimination of
malignant tumour without dose escalation 319--328
J. A. Ferreira and
J. Naghipoor and
Paula de Oliveira A coupled non-Fickian model of a
cardiovascular drug delivery system . . 329--357
Andrei Korobeinikov and
Elena Shchepakina and
Vladimir Sobolev Paradox of enrichment and system order
reduction: bacteriophages dynamics as
case study . . . . . . . . . . . . . . . 359--369
F. Clarelli and
C. Di Russo and
R. Natalini and
M. Ribot A fluid dynamics multidimensional model
of biofilm growth: stability, influence
of environment and sensitivity . . . . . 371--395
Leonid Hanin and
Jason Rose Uncovering the natural history of cancer
from post-mortem cross-sectional
diameters of hepatic metastases . . . . 397--416
Peinan Ge and
William J. Bottega and
Jonathan L. Prenner and
Howard F. Fine On the influence of an equatorial
cerclage on closure of posterior retinal
detachment . . . . . . . . . . . . . . . 417--433
Christian Engwer and
Alexander Hunt and
Christina Surulescu Effective equations for anisotropic
glioma spread with proliferation: a
multiscale approach and comparisons with
previous settings . . . . . . . . . . . 435--459
Michel Iskin da S. Costa and
Lucas dos Anjos Allee effects in tritrophic food chains:
some insights in pest biological control 461--474
Timothy W. Secomb A Green's function method for simulation
of time-dependent solute transport and
reaction in realistic microvascular
geometries . . . . . . . . . . . . . . . 475--494
Lydia Hill and
Mark A. J. Chaplain and
Roland Wolf and
Yury Kapelyukh The usage of a three-compartment model
to investigate the metabolic differences
between hepatic reductase null and
wild-type mice . . . . . . . . . . . . . 1--13
Marc Artzrouni and
Vasiliy N. Leonenko and
Thierry A. Mara A syringe-sharing model for the spread
of HIV: application to Omsk, Western
Siberia . . . . . . . . . . . . . . . . 15--37
T. Ruck and
S. Bittner and
S. G. Meuth and
M. Herty Insights from mathematical modelling for
T cell migration into the central
nervous system . . . . . . . . . . . . . 39--58
I. Borsi and
A. Fasano and
M. Primicerio and
T. Hillen A non-local model for cancer stem cells
and the tumour growth paradox . . . . . 59--75
Pak-Wing Fok and
Rebecca Sanft A biochemical and mechanical model of
injury-induced intimal thickening . . . 77--108
Richard C. Barnard and
Martin Frank and
Kai Krycki Sensitivity analysis for dose deposition
in radiotherapy via a Fokker--Planck
model . . . . . . . . . . . . . . . . . 109--123
I. A. Kuznetsov and
A. V. Kuznetsov What mechanisms of tau protein transport
could be responsible for the inverted
tau concentration gradient in
degenerating axons? . . . . . . . . . . 125--150
Guillaume Lefebvre and
François Cornelis and
Patricio Cumsille and
Thierry Colin and
Clair Poignard and
Olivier Saut Spatial modelling of tumour drug
resistance: the case of GIST liver
metastases . . . . . . . . . . . . . . . 151--176
Till D. Frank and
Anatoly Kiyatkin and
Alex Cheong and
Boris N. Kholodenko Three-factor models versus time series
models: quantifying time-dependencies of
interactions between stimuli in cell
biology and psychobiology for short
longitudinal data . . . . . . . . . . . 177--191
Michiel Bertsch and
Bruno Franchi and
Norina Marcello and
Maria Carla Tesi and
Andrea Tosin Alzheimer's disease: a mathematical
model for onset and progression . . . . 193--214
Federico Frascoli and
Emelie Flood and
Peter S. Kim A model of the effects of cancer cell
motility and cellular adhesion
properties on tumour-immune dynamics . . 215--240
Daozhou Gao and
Thomas M. Lietman and
Chao-Ping Dong and
Travis C. Porco Mass drug administration: the importance
of synchrony . . . . . . . . . . . . . . 241--260
Leszek Pstras and
Karl Thomaseth and
Jacek Waniewski and
Italo Balzani and
Federico Bellavere Mathematical modelling of cardiovascular
response to the Valsalva manoeuvre . . . 261--292
Hamidreza Hajiani Boushehrian and
Omid Abouali and
Khosrow Jafarpur and
Alireza Ghaffarieh and
Goodarz Ahmadi Relationship between saccadic eye
movements and formation of the
Krukenberg's spindle --- a CFD study . . 293--312
Ioannis Sgouralis and
Roger G. Evans and
Anita T. Layton Renal medullary and urinary oxygen
tension during cardiopulmonary bypass in
the rat . . . . . . . . . . . . . . . . 313--333
John P. Ward and
Joanne L. Dunster and
Gianne Derks and
Pratibha Mistry and
José D. Salazar Predicting tyrosinaemia: a mathematical
model of $4$-hydroxyphenylpyruvate
dioxygenase inhibition by nitisinone in
rats . . . . . . . . . . . . . . . . . . 335--390
Georgina E. Lang and
Dominic Vella and
Sarah L. Waters and
Alain Goriely Mathematical modelling of blood-brain
barrier failure and oedema . . . . . . . 391--414
Qiyong Chen and
Sinan Müftü and
Faik Can Meral and
Kemal Tuncali and
Murat Akçakaya Model-based optimal planning of hepatic
radiofrequency ablation . . . . . . . . 415--431
Gürsan Çoban and
M. Serdar Çelebi A novel computational remodelling
algorithm for the probabilistic
evolution of collagen fibre dispersion
in biaxially strained vascular tissue 433--467
Theresa Stocks and
Thomas Hillen and
Jiafen Gong and
Martin Burger A stochastic model for the normal tissue
complication probability (NTCP) and
applications . . . . . . . . . . . . . . 469--492
N. J. Malunguza and
S. D. Hove-Musekwa and
S. Dube and
Z. Mukandavire Dynamical properties and thresholds of
an HIV model with super-infection . . . 493--522
Yichen Lu and
Mei Yan Lee and
Shu Zhu and
Talid Sinno and
Scott L. Diamond Multiscale simulation of thrombus growth
and vessel occlusion triggered by
collagen/tissue factor using a
data-driven model of combinatorial
platelet signalling . . . . . . . . . . 523--546
Iftah Nudel and
Luis Dorfmann and
Gal deBotton The compartment syndrome: is the
intra-compartment pressure a reliable
indicator for early diagnosis? . . . . . 547--558
Giuseppe Pontrelli and
Marco Lauricella and
José A. Ferreira and
Gonçalo Pena Iontophoretic transdermal drug delivery:
a multi-layered approach . . . . . . . . 559--576
Matthew R. Myers and
Prasanna Hariharan and
Suvajyoti Guha and
Jing Yan A mathematical model for assessing the
effectiveness of protective devices in
reducing risk of infection by inhalable
droplets . . . . . . . . . . . . . . . . 1--23
N. Eymard and
V. Volpert and
P. Kurbatova and
V. Volpert and
N. Bessonov and
K. Ogungbenro and
L. Aarons and
P. Janiaud and
P. Nony and
A. Bajard and
S. Chabaud and
Y. Bertrand and
B. Kassa\"\i and
C. Cornu and
P. Nony Mathematical model of T-cell
lymphoblastic lymphoma: disease,
treatment, cure or relapse of a virtual
cohort of patients . . . . . . . . . . . 25--47
Eva Kaslik and
Mihaela Neamtu Stability and Hopf bifurcation analysis
for the hypothalamic-pituitary-adrenal
axis model with memory . . . . . . . . . 49--78
Ryan S. Waters and
Justin S. A. Perry and
SunPil Han and
Bibiana Bielekova and
Tomas Gedeon The effects of interleukin-2 on immune
response regulation . . . . . . . . . . 79--119
Ezio Di Costanzo and
Alessandro Giacomello and
Elisa Messina and
Roberto Natalini and
Giuseppe Pontrelli and
Fabrizio Rossi and
Robert Smits and
Monika Twarogowska A discrete in continuous mathematical
model of cardiac progenitor cells
formation and growth as spheroid
clusters (Cardiospheres) . . . . . . . . 121--144
Richard J. Braun and
Tobin A. Driscoll and
Carolyn G. Begley and
P. Ewen King-Smith and
Javed I. Siddique On tear film breakup (TBU): dynamics and
imaging . . . . . . . . . . . . . . . . 145--180
Ana Victoria Ponce Bobadilla and
Philip K. Maini and
Helen Byrne A stochastic model for tumour control
probability that accounts for repair
from sublethal damage . . . . . . . . . 181--202
Todd R. Young and
Erik M. Boczko Early treatment gains for antibiotic
administration and within human host
time series data . . . . . . . . . . . . 203--224
Jian Du and
Aaron L. Fogelson A two-phase mixture model of platelet
aggregation . . . . . . . . . . . . . . 225--256
Ryan Nikin-Beers and
Stanca M. Ciupe Modelling original antigenic sin in
dengue viral infection . . . . . . . . . 257--272
Larisse Bolton and
Alain H. J. J. Cloot and
Schalk W. Schoombie and
Jacobus P. Slabbert Corrigendum to: A proposed
fractional-order Gompertz model and its
application to tumour growth data . . . 273--277
Benjamin Engelhardt and
Janine Holze and
Christina Elliott and
George S. Baillie and
Maik Kschischo and
Holger Fröhlich Modelling and mathematical analysis of
the M|$_2$ | receptor-dependent joint
signalling and secondary messenger
network in CHO cells . . . . . . . . . . 279--297
Alfonso Sepúlveda-Gálvez and
Jesús Agustín Badillo-Corona and
Isaac Chairez Finite-time parametric identification
for the model representing the metabolic
and genetic regulatory effects of
sequential aerobic respiration and
anaerobic fermentation processes in
\bionameEscherichia coli . . . . . . . . 299--317
J. E. F. Green and
J. P. Whiteley and
J. M. Oliver and
H. M. Byrne and
S. L. Waters Pattern formation in multiphase models
of chemotactic cell aggregation . . . . 319--346
V. S. K. Manem and
A. Dhawan Modelling recurrence and second cancer
risks induced by proton therapy . . . . 347--361
Jennifer H. Tweedy and
Jan O. Pralits and
Rodolfo Repetto and
Paolo Soleri Flow in the anterior chamber of the eye
with an implanted iris-fixated
artificial lens . . . . . . . . . . . . 363--385
Atanaska Dobreva and
Ralf Paus and
N. G. Cogan Analysing the dynamics of a model for
\bionamealopecia areata as an autoimmune
disorder of hair follicle cycling . . . 387--407
Shi Chen and
Suzanne Lenhart and
Judy D. Day and
Chihoon Lee and
Michael Dulin and
Cristina Lanzas Pathogen transfer through
environment-host contact: an agent-based
queueing theoretic framework . . . . . . 409--425
Kazuo Yamazaki Global well-posedness of infectious
disease models without life-time
immunity: the cases of cholera and avian
influenza . . . . . . . . . . . . . . . 427--445
M. Dvoriashyna and
R. Repetto and
M. R. Romano and
J. H. Tweedy Aqueous humour flow in the posterior
chamber of the eye and its modifications
due to pupillary block and iridotomy . . 447--467
Dmitry Gromov and
Ingo Bulla and
Oana Silvia Serea and
Ethan O. Romero-Severson Numerical optimal control for HIV
prevention with dynamic budget
allocation . . . . . . . . . . . . . . . 469--491
Nicholas A. Battista and
Andrea N. Lane and
Jiandong Liu and
Laura A. Miller Fluid dynamics in heart development:
effects of hematocrit and trabeculation 493--516
Fazeleh S. Mohseni-Salehi and
Fatemeh Zare-Mirakabad and
Soudeh Ghafouri-Fard and
Mehdi Sadeghi The effect of stochasticity on repair of
DNA double strand breaks throughout
non-homologous end joining pathway . . . 517--539
Vasiliki Bitsouni and
Dumitru Trucu and
Mark A. J. Chaplain and
Raluca Eftimie Aggregation and travelling wave dynamics
in a two-population model of cancer cell
growth and invasion . . . . . . . . . . 541--577
Alexander Nestor-Bergmann and
Georgina Goddard and
Sarah Woolner and
Oliver E. Jensen Relating cell shape and mechanical
stress in a spatially disordered
epithelium using a vertex-based model ??
Alun Thomas and
Karim Khader and
Andrew Redd and
Molly Leecaster and
Yue Zhang and
Makoto Jones and
Tom Greene and
Matthew Samore Extended models for nosocomial
infection: parameter estimation and
model selection . . . . . . . . . . . . ??
Longfei Li and
R. J. Braun and
W. D. Henshaw and
P. E. King-Smith Computed flow and fluorescence over the
ocular surface . . . . . . . . . . . . . ??
Julien Aniort and
Laurent Chupin and
Nicolae C\^\indea Mathematical model of calcium exchange
during haemodialysis using a citrate
containing dialysate . . . . . . . . . . ??
C. Bruni and
F. Conte and
F. Papa and
C. Sinisgalli Optimal number and sizes of the doses in
fractionated radiotherapy according to
the LQ model . . . . . . . . . . . . . . 1--53
L. Zhong and
C. F. Ketelaar and
R. J. Braun and
C. G. Begley and
P. E. King-Smith Mathematical modelling of glob-driven
tear film breakup . . . . . . . . . . . 55--91
Jake P. Taylor-King and
Etienne Baratchart and
Andrew Dhawan and
Elizabeth A. Coker and
Inga Hansine Rye and
Hege Russnes and
S. Jon Chapman and
David Basanta and
Andriy Marusyk Simulated ablation for detection of
cells impacting paracrine signalling in
histology analysis . . . . . . . . . . . 93--112
Pavol Bokes and
John R. King Limit-cycle oscillatory coexpression of
cross-inhibitory transcription factors:
a model mechanism for lineage
promiscuity . . . . . . . . . . . . . . 113--137
Sean G. Smith and
Boyce E. Griffith and
David A. Zaharoff Analyzing the effects of instillation
volume on intravesical delivery using
biphasic solute transport in a
deformable geometry . . . . . . . . . . 139--156
Angela M. Jarrett and
Nicholas G. Cogan The ups and downs of \bionameS. aureus
nasal carriage . . . . . . . . . . . . . 157--177
Natacha Go and
Catherine Belloc and
Caroline Bidot and
Suzanne Touzeau Why, when and how should exposure be
considered at the within-host scale? A
modelling contribution to PRRSv
infection . . . . . . . . . . . . . . . 179--206
S. Heyden and
M. Ortiz Functional optimality of the sulcus
pattern of the human brain . . . . . . . 207--221
Miquel Gomez and
Francisco Maduell A unidimensional diffusion model applied
to uremic toxin kinetics in
haemodiafiltration treatments . . . . . 223--240
Artur C. Fassoni and
Hyun M. Yang Modeling dynamics for oncogenesis
encompassing mutations and genetic
instability . . . . . . . . . . . . . . 241--267
Wenjing Zhang and
Sophia Jang and
Colleen B. Jonsson and
Linda J. S. Allen Models of cytokine dynamics in the
inflammatory response of viral zoonotic
infectious diseases . . . . . . . . . . 269--295
Bruno Buonomo and
Rossella Della Marca and
Alberto d'Onofrio Optimal public health intervention in a
behavioural vaccination model: the
interplay between seasonality, behaviour
and latency period . . . . . . . . . . . 297--324
Andrew L. Krause and
Dmitry Beliaev and
Robert A. Van Gorder and
Sarah L. Waters Lattice and continuum modelling of a
bioactive porous tissue scaffold . . . . 325--360
Sevnaz Nourollahi and
Archis Ghate and
Minsun Kim Optimal modality selection in external
beam radiotherapy . . . . . . . . . . . 361--380
Angela M. Jarrett and
Meghan J. Bloom and
Wesley Godfrey and
Anum K. Syed and
David A. Ekrut and
Lauren I. Ehrlich and
Thomas E. Yankeelov and
Anna G. Sorace Mathematical modelling of
trastuzumab-induced immune response in
an in vivo murine model of HER2+ breast
cancer . . . . . . . . . . . . . . . . . 381--410
Miller Cerón Gómez and
Hyun Mo Yang A simple mathematical model to describe
antibody-dependent enhancement in
heterologous secondary infection in
dengue . . . . . . . . . . . . . . . . . 411--438
Lucia Carichino and
Sarah D. Olson Emergent three-dimensional sperm
motility: coupling calcium dynamics and
preferred curvature in a Kirchhoff rod
model . . . . . . . . . . . . . . . . . 439--469
Thuy T. T. Le and
Felix Jost and
Thomas Raupach and
Jakob Zierk and
Manfred Rauh and
Meinolf Suttorp and
Martin Stanulla and
Markus Metzler and
Sebastian Sager A mathematical model of white blood cell
dynamics during maintenance therapy of
childhood acute lymphoblastic leukemia 471--488
Zenab Alrikaby Stability and Hopf bifurcation analysis
of lac Operon model with distributed
delay and nonlinear degradation rate . . 489--512
Travis B. Thompson and
Beatrice M. Riviere and
Matthew G. Knepley An implicit discontinuous Galerkin
method for modeling acute edema and
resuscitation in the small intestine . . 513--548
Bronwyn H. Bradshaw-Hajek and
Philip Broadbridge Analytic solutions for calcium ion
fertilisation waves on the surface of
eggs . . . . . . . . . . . . . . . . . . 549--562
Erika T. Camacho and
Suzanne Lenhart and
Luis A. Melara and
M. Cristina Villalobos and
Stephen Wirkus Optimal control with MANF treatment of
photoreceptor degeneration . . . . . . . 1--21
Kelsey Maass and
Minsun Kim A Markov decision process approach to
optimizing cancer therapy using multiple
modalities . . . . . . . . . . . . . . . 22--39
Rebecca J. Shipley and
Amy F. Smith and
Paul W. Sweeney and
Axel R. Pries and
Timothy W. Secomb A hybrid discrete-continuum approach for
modelling microcirculatory blood flow 40--57
Lucia Maddalena and
Stefania Ragni Existence of solutions and numerical
approximation of a non-local tumor
growth model . . . . . . . . . . . . . . 58--82
R. N. Bearon and
W. M. Durham A model of strongly biased chemotaxis
reveals the trade-offs of different
bacterial migration strategies . . . . . 83--116
Tyler Cassidy and
Antony R. Humphries A mathematical model of viral oncology
as an immuno-oncology instigator . . . . 117--151
Christoph Frei and
Thomas Hillen and
Adam Rhodes A stochastic model for cancer
metastasis: branching stochastic process
with settlement . . . . . . . . . . . . 153--182
Federico Papa and
Giovanni Felici and
Marco Franzetti and
Alberto Gandolfi and
Carmela Sinisgalli Impact of ART-induced viral suppression
on the HIV epidemic in Italy . . . . . . 183--211
Vardayani Ratti and
Seema Nanda and
Susan K. Eszterhas and
Alexandra L. Howell and
Dorothy I. Wallace A mathematical model of HIV dynamics
treated with a population of gene-edited
haematopoietic progenitor cells
exhibiting threshold phenomenon . . . . 212--242
A. Ducrot and
P. Magal and
T. Nguyen and
G. F. Webb Identifying the number of unreported
cases in SIR epidemic models . . . . . . 243--261
Jonathan P. Whiteley An evaluation of some assumptions
underpinning the bidomain equations of
electrophysiology . . . . . . . . . . . 262--302
Alexey A. Chernov and
Mark Y. Kelbert and
Aleksandr A. Shemendyuk Optimal vaccine allocation during the
mumps outbreak in two SIR centres . . . 303--312
Gregory Douglas Conradi Smith Allostery in oligomeric receptor models 313--333
Nicolas Houy and
Julien Flaig Informed and uninformed empirical
therapy policies . . . . . . . . . . . . 334--350
Michel Iskin da S. Costa and
Lucas Dos Anjos The interplay between fishery yield and
top predator culling in a multispecies
fishery context . . . . . . . . . . . . 351--363
Kara L. Maki and
Richard J. Braun and
Gregory A. Barron The influence of a lipid reservoir on
the tear film formation . . . . . . . . 363--388
Jonathan P. Whiteley and
Eamonn A. Gaffney Modelling the inclusion of swelling
pressure in a tissue level
poroviscoelastic model of cartilage
deformation . . . . . . . . . . . . . . 389--428
Bronwyn H. Bradshaw-Hajek and
Philip Broadbridge Analytic solutions for calcium ion
fertilisation waves on the surface of
eggs --- erratum . . . . . . . . . . . . 429--432
Larisse Bolton and
Thomas M. Acho and
David K. Stones and
Cang Hui Describing the evolution of
myeloid-derived leucocytes in treated
B-lineage paediatric acute lymphoblastic
leukaemia with a data-driven
granulocyte-monocyte-blast model . . . . 433--468
Yingqiao Yang and
Kewei Li and
Gerhard Sommer and
Kai-Leung Yung and
Gerhard A. Holzapfel Mechanical characterization of porcine
liver properties for computational
simulation of indentation on cancerous
tissue . . . . . . . . . . . . . . . . . 469--490
Kathleen P. Wilkie and
Farjana Aktar Mathematically modelling inflammation as
a promoter of tumour growth . . . . . . 491--514
M. Jabed A. Choudhury and
Philip M. J. Trevelyan and
Graeme P. Boswell Mathematical modelling of
fungi-initiated siderophore-iron
interactions . . . . . . . . . . . . . . 515--550
M. Banerjee and
V. Volpert Stochastic intracellular regulation can
remove oscillations in a model of tissue
growth . . . . . . . . . . . . . . . . . 551--568
Sandra B. Maier and
Eduardo Massad and
Marcos Amaku and
Marcelo N. Burattini and
David Greenhalgh The optimal age of vaccination against
dengue in Brazil based on
serotype-specific forces of infection
derived from serological data . . . . . 1--27
H. M. Ndongmo Teytsa and
B. Tsanou and
S. Bowong and
J. M-S. Lubuma Bifurcation analysis of a phage-bacteria
interaction model with prophage
induction . . . . . . . . . . . . . . . 28--58
Navid Mohammad Mirzaei and
Pak-Wing Fok Simple model of atherosclerosis in
cylindrical arteries: impact of
anisotropic growth on Glagov remodeling 59--82
Nadia Loy and
Luigi Preziosi Stability of a non-local kinetic model
for cell migration with
density-dependent speed . . . . . . . . 83--105
Peter Mortensen and
Hao Gao and
Godfrey Smith and
Radostin D. Simitev Action potential propagation and block
in a model of atrial tissue with
myocyte-fibroblast coupling . . . . . . 106--131
Larisse Bolton and
Alain H. J. J. Cloot and
Schalk W. Schoombie and
Jacobus P. Slabbert Corrigendum: A proposed fractional order
Gompertz model, and its application to
tumour growth data . . . . . . . . . . . 132--135
Hyun Mo Yang and
Luis Pedro Lombardi Junior and
Ariana Campos Yang Modeling the transmission of the new
coronavirus in São Paulo State, Brazil
--- assessing the epidemiological
impacts of isolating young and elder
persons . . . . . . . . . . . . . . . . 137--177
Angélique Perrillat-Mercerot and
Alain Miranville and
Abramo Agosti and
Elisabetta Rocca and
Pasquale Ciarletta and
Rémy Guillevin Partial differential model of lactate
neuro-energetics: analytic results and
numerical simulations . . . . . . . . . 178--201
Samantha R Rivas and
Alex C Tessner and
Eli E Goldwyn Calculating prescription rates and
addiction probabilities for the four
most commonly prescribed opioids and
evaluating their impact on addiction
using compartment modelling . . . . . . 202--217
Carolin Dirks and
Paul Striewski and
Benedikt Wirth and
Anne Aalto and
Adan Olguin-Olguin A mathematical model for bleb regulation
in zebrafish primordial germ cells . . . 218--254
Charles Puelz and
Zach Danial and
Jay S Raval and
Jonathan L Marinaro and
Boyce E Griffith and
Charles S Peskin Models for plasma kinetics during
simultaneous therapeutic plasma exchange
and extracorporeal membrane oxygenation 255--271
A. M. Portillo and
C. Peláez Mathematical modelling of ageing
acceleration of the human follicle due
to oxidative stress and other factors 273--291
Peter Mortensen and
Hao Gao and
Godfrey Smith and
Radostin D. Simitev Addendum: Action potential propagation
and block in a model of atrial tissue
with myocyte-fibroblast coupling . . . . 292--298
A. James and
M. J. Plank and
R. N. Binny and
A. Lustig and
K. Hannah and
S. C. Hendy and
N. Steyn A structured model for COVID-19 spread:
modelling age and healthcare inequities 299--313
Ng Cogan and
Feng Bao and
Ralf Paus and
Atanaska Dobreva Data assimilation of synthetic data as a
novel strategy for predicting disease
progression in alopecia areata . . . . . 314--332
M. Scott and
K. Zychaluk and
R. N. Bearon A mathematical framework for modelling
3D cell motility: applications to
glioblastoma cell migration . . . . . . 333--354
Daniel M. Anderson and
Maria Corsaro and
Jonathan Horton and
Tim Reid and
Padmanabhan Seshaiyer Tear film dynamics with blinking and
contact lens motion . . . . . . . . . . 355--395
Paul N. Patrone and
Anthony J. Kearsley Classification under uncertainty: data
analysis for diagnostic antibody testing 396--416
Laura D'Orsi and
Luciano Curcio and
Fabio Cibella and
Alessandro Borri and
Lilach Gavish and
Arik Eisenkraft and
Andrea De Gaetano A mathematical model of cardiovascular
dynamics for the diagnosis and prognosis
of hemorrhagic shock . . . . . . . . . . 417--441
Matthew G. Doyle and
Marina Chugunova and
S. Lucy Roche and
James P. Keener Lumped parameter models for
two-ventricle and healthy and failing
extracardiac Fontan circulations . . . . 442--466
Jan C. Budich and
Emil J. Bergholtz Synchronization in epidemic growth and
the impossibility of selective
containment . . . . . . . . . . . . . . 467--473
P. Broadbridge and
B. S. Tilley Diffusion of dermatological irritant in
drying laundered cloth . . . . . . . . . 474--489
D. E. Andreev and
P. V. Baranov and
A. Milogorodskii and
D. Rachinskii A deterministic model for non-monotone
relationship between translation of
upstream and downstream open reading
frames . . . . . . . . . . . . . . . . . 490--515
Ada J. Ellingsrud and
Nicolas Boullé and
Patrick E. Farrell and
Marie E. Rognes Accurate numerical simulation of
electrodiffusion and water movement in
brain tissue . . . . . . . . . . . . . . 516--551
C. H. Nkwayep and
S. Bowong and
B. Tsanou and
M. A. Aziz Alaoui and
J. Kurths Mathematical modeling of COVID-19
pandemic in the context of sub-Saharan
Africa: a short-term forecasting in
Cameroon and Gabon . . . . . . . . . . . 1--48
Ayman Mourad and
Fatima Mroue and
Zahraa Taha Stochastic mathematical models for the
spread of COVID-19: a novel
epidemiological approach . . . . . . . . 49--76
Greta Chiaravalli and
Giovanna Guidoboni and
Riccardo Sacco and
Jake Radell and
Alon Harris A multi-scale/multi-physics model for
the theoretical study of the vascular
configuration of retinal capillary
plexuses based on OCTA data . . . . . . 77--104
Giorgio Sonnino and
Philippe Peeters and
Pasquale Nardone Modelling the spreading of the
SARS-CoV-2 in presence of the lockdown
and quarantine measures by a
\emphkinetic-type reactions approach . . 105--125
Wenjing Zhang Deterministic and stochastic in-host
tuberculosis models for
bacterium-directed and host-directed
therapy combination . . . . . . . . . . 126--155
Michael J. Plank and
Alex James and
Audrey Lustig and
Nicholas Steyn and
Rachelle N. Binny and
Shaun C. Hendy Potential reduction in transmission of
COVID-19 by digital contact tracing
systems: a modelling study . . . . . . . 156--168
Felipe Alves Rubio and
Hyun Mo Yang A mathematical model to describe
antibody-dependent enhancement and
assess the effect of limiting cloning
for plasma cells in heterologous
secondary dengue infection . . . . . . . 169--196
Jasmina \Dbarordevi\'c and
Kristina Rognlien Dahl Stochastic optimal control of
pre-exposure prophylaxis for HIV
infection . . . . . . . . . . . . . . . 197--225
Maud El-Hachem and
Scott W. McCue and
Matthew J. Simpson Non-vanishing sharp-fronted travelling
wave solutions of the Fisher--Kolmogorov
model . . . . . . . . . . . . . . . . . 226--250
Jonathan P. Whiteley and
Cameron P. Brown and
Eamonn A. Gaffney Modelling articular cartilage: the
relative motion of two adjacent
poroviscoelastic layers . . . . . . . . 251--298
Ivan A. Kuznetsov and
Andrey V. Kuznetsov An analytical solution simulating growth
of Lewy bodies . . . . . . . . . . . . . 299--312
Adriana Zanca and
James M. Osborne and
Sophie G. Zaloumis and
Carolina D. Weller and
Jennifer A. Flegg How quickly does a wound heal? Bayesian
calibration of a mathematical model of
venous leg ulcer healing . . . . . . . . 313--331
Tahani Al Sariri and
Raimondo Penta Multi-scale modelling of nanoparticle
delivery and heat transport in
vascularised tumours . . . . . . . . . . 332--367
Elliot Poehler and
Liam Gibson and
Audrey Lustig and
Nicole J. Moreland and
Reuben McGregor and
Alex James Estimating decay curves of neutralizing
antibodies to SARS-CoV-2 infection . . . 368--381
Laurence Cherfils and
Stefania Gatti and
Carole Guillevin and
Alain Miranville and
Rémy Guillevin On a tumor growth model with brain
lactate kinetics . . . . . . . . . . . . 382--409
Elliott Hughes and
Rachelle Binny and
Shaun Hendy and
Alex James Predicting elimination of evolving virus
variants . . . . . . . . . . . . . . . . 410--424
Seong Woo Han and
Charles Puelz and
Craig G. Rusin and
Daniel J. Penny and
Ryan Coleman and
Charles S. Peskin Computer simulation of surgical
interventions for the treatment of
refractory pulmonary hypertension . . . 1--23
Joanne L. Dunster and
Jonathan M. Gibbins and
Martin R. Nelson Exploring the constituent mechanisms of
hepatitis: a dynamical systems approach 24--48
Lauren Hyndman and
Sean McKee and
Sean McGinty Solute transport with Michaelis--Menten
kinetics for \em in vitro cell culture 49--72
Marco A. Ridenti and
Lara K. Teles and
Alexandre Maranhão and
Vladimir K. Teles Mathematical modeling and investigation
on the role of demography and contact
patterns in social distancing measures
effectiveness in COVID-19 dissemination 73--95
Bruno Burlando and
Viviana Mucci and
Cherylea J. Browne and
Serena Losacco and
Iole Indovina and
Lucio Marinelli and
Franco Blanchini and
Giulia Giordano Mal de Debarquement Syndrome explained
by a vestibulo-cerebellar oscillator . . 96--110