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Mathematical modelling of natural phenomena
Tome 11 (2016)
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Sommaire du
Fascicule no. 1
Methods of Blood Flow Modelling
N. Bessonov
;
A. Sequeira
;
S. Simakov
;
Yu. Vassilevskii
;
V. Volpert
p. 1-25
Mathematical Modelling of Subdiffusion-reaction Systems
A. A. Nepomnyashchy
p. 26-36
Hybrid Modelling in Biology: a Classification Review
A. Stéphanou
;
V. Volpert
p. 37-48
Ecoepidemiology: a More Comprehensive View of Population Interactions
E. Venturino
p. 49-90
Erratum to the paper “Methods of Blood Flow Modelling”
N. Bessonov
;
A. Sequeira
;
S. Simakov
;
Yu. Vassilevski
;
V. Volpert
p. 91
Blood Cell Dynamics: Half of a Century of Modelling
L. Pujo-Menjouet
p. 92-115
Sommaire du
Fascicule no. 2
Stochastic Finite Element Method for Torso Conductivity Uncertainties Quantification in Electrocardiography Inverse Problem
R. Aboulaich
;
N. Fikal
;
E. El Guarmah
;
N. Zemzemi
p. 1-19
Ground States for NLS on Graphs: a Subtle Interplay of Metric and Topology
R. Adami
p. 20-35
Localization Error Estimate for the Massless Relativistic Kinetic Energy Operator
J-M. Barbaroux
;
V. Vougalter
;
S. Vugalter
p. 36-43
Eigenfunction Approach to Transient Patterns in a Model of Chemotaxis
P. Chatterjee
;
B. Kazmierczak
p. 44-62
Discrete Spectrum of Bifurcation of Exact Solutions for Stationary Longitudinal Waves in the Flow of Perfect Fluid Around a Circular Body of a Large Radius
R. N. Ibragimov
p. 63-74
Analytical Predictions of Period-1 motions to Chaos in a Periodically Driven Quadratic Nonlinear Oscillator with a Time-delay
A. C. J Luo
;
S. Xing
p. 75-88
On the Well-posedness of Some generalized Characteristic Cauchy Problems
J.-A. Marti
;
V. Dévoué
;
A. Delcroix
;
E. Allaud
;
H. Vernaeve
p. 89-99
On the Discrete Spectrum of Robin Laplacians in Conical Domains
K. Pankrashkin
p. 100-110
Evolution of Weyl Functions and Initial-Boundary Value Problems
A. L. Sakhnovich
p. 111-132
Variable Moving Average Transform Stitching Waves
V. Vatchev
p. 133-144
Sommaire du
Fascicule no. 3
A New Fractional Calculus Model for the Two-dimensional Anomalous Diffusion and its Analysis
Yu. Luchko
p. 1-17
Comb Model with Slow and Ultraslow Diffusion
T. Sandev
;
A. Iomin
;
H. Kantz
;
R. Metzler
;
A. Chechkin
p. 18-33
A Semi-Markov Algorithm for Continuous Time Random Walk Limit Distributions
G. Gill
;
P. Straka
p. 34-50
Lévy Transport in Slab Geometry of Inhomogeneous Media
A. Iomin
;
T. Sandev
p. 51-62
Feynman-Kac Equations for Random Walks in Disordered Media
V. P. Shkilev
p. 63-75
Complementary Densities of Lévy Walks: Typical and Rare Fluctuations
A. Rebenshtok
;
S. Denisov
;
P. Hänggi
;
E. Barkai
p. 76-106
Reaction Spreading in Systems With Anomalous Diffusion
F. Cecconi
;
D. Vergni
;
A. Vulpiani
p. 107-127
Subdiffusion–Absorption Process in a System with a Thin Membrane
T. Kosztołowicz
;
K. D. Lewandowska
p. 128-141
A Mathematical Model for the Proliferation, Accumulation and Spread of Pathogenic Proteins Along Neuronal Pathways with Locally Anomalous Trapping
C. N. Angstmann
;
I. C. Donnelly
;
B. I. Henry
;
T. A. M. Langlands
p. 142-156
Proliferating Lévy Walkers and Front Propagation
H. Stage
;
S. Fedotov
;
V. Méndez
p. 157-178
A Non-Linear Model for Solute Transport, Accounting for Sub-diffusive Concentration Decline and Sorption Saturation
B. Maryshev
p. 179-190
Renewal Theory for a System with Internal States
M. Niemann
;
E. Barkai
;
H. Kantz
p. 191-239
Sommaire du
Fascicule no. 4
Modelling in Ecology, Epidemiology and Ecoepidemiology: Introduction to the Special Issue
A. Morozov
;
S. Petrovskii
p. 1-4
The Impact of Fragmented Habitat’s Size and Shape on Populations with Allee Effect
W.G. Alharbi
;
S.V. Petrovskii
p. 5-15
Tri-trophic Plankton Models Revised: Importance of Space, Food Web Structure and Functional Response Parametrisation
H.I. Egilmez
;
A.Yu. Morozov
p. 16-33
Mathematical Modelling of Metapopulation Dynamics: Revisiting its Meaning
H. Seno
p. 34-46
Detecting Tipping points in Ecological Models with Sensitivity Analysis
G.A. ten Broeke
;
G.A.K. van Voorn
;
B.W. Kooi
;
J. Molenaar
p. 47-72
Fast Sampling of Evolving Systems with Periodic Trajectories
I.Yu. Tyukin
;
A.N. Gorban
;
T.A. Tyukina
;
J.M. Al-Ameri
;
Yu.A. Korablev
p. 73-88
Optimal Control for a SIR Epidemic Model with Nonlinear Incidence Rate
E.V. Grigorieva
;
E.N. Khailov
;
A. Korobeinikov
p. 89-104
The Impact of Hybrid Quarantine Strategies and Delay factor on Viral Prevalence in Computer Networks
Chang Li
;
Xiaofeng Liao
p. 105-119
Fast Dispersal in Semelparous Populations
R. Bravo de la Parra
;
M. Marvá
;
F. Sansegundo
p. 120-134
Effects of Fast Hawk-Dove-Bully Game on the Dynamics of a Stage-structured Population
A. Moussaoui
;
P. Auger
p. 135-153
Rare Mutations Limit of a Steady State Dispersal Evolution Model
B. Perthame
;
P. E. Souganidis
p. 154-166
Sommaire du
Fascicule no. 5
Preface. Bifurcations and Pattern Formation in Biological Applications
A. Morozov
;
M. Ptashnyk
;
V. Volpert
p. 1-3
Analysis and Simulations of Coupled Bulk-surface Reaction-Diffusion Systems on Exponentially Evolving Volumes
A. Madzvamuse
;
A. H. Chung
p. 4-32
The Effect of Cell Death on the Stability of a Growing Biofilm
H. A. Wallace
;
L. Li
;
F. A. Davidson
p. 33-48
Dynamical Patterns of Coexisting Strategies in a Hybrid Discrete-continuum Spatial Evolutionary Game Model
A.E.F. Burgess
;
P.G. Schofield
;
S.F. Hubbard
;
M.A.J. Chaplain
;
T. Lorenzi
p. 49-64
Bifurcations and Chaotic Dynamics in a Tumour-Immune-Virus System
R. Eftimie
;
C.K. Macnamara
;
Jonathan Dushoff
;
J.L. Bramson
;
D.J.D. Earn
p. 65-85
Using Numerical Bifurcation Analysis to Study Pattern Formation in Mussel Beds
J.A. Sherratt
p. 86-102
Stabilizing Role of Nonlocal Interaction on Spatio-temporal Pattern Formation
M. Banerjee
;
L. Zhang
p. 103-118
Modeling of Sensory Characteristics Based on the Growth of Food Spoilage Bacteria
D. Valenti
;
G. Denaro
;
F. Giarratana
;
A. Giuffrida
;
S. Mazzola
;
G. Basilone
;
S. Aronica
;
A. Bonanno
;
B. Spagnolo
p. 119-136
Fighting Enemies and Noise: Competition of Residents and Invaders in a Stochastically Fluctuating Environment
I. Siekmann
;
H. Malchow
p. 137-157
Noise Induced Phenomena in the Dynamics of Two Competing Species
D. Valenti
;
A. Giuffrida
;
G. Denaro
;
N. Pizzolato
;
L. Curcio
;
S. Mazzola
;
G. Basilone
;
A. Bonanno
;
B. Spagnolo
p. 158-174
Sommaire du
Fascicule no. 6
Mathematics of Pharmacokinetics and Pharmacodynamics: Diversity of Topics, Models and Methods
G. Bocharov
;
A. Bouchnita
;
J. Clairambault
;
V. Volpert
p. 1-8
Parameter Estimation Using Unidentified Individual Data in Individual Based Models
H.T. Banks
;
R. Baraldi
;
J. Catenacci
;
N. Myers
p. 9-27
An Individualized Blood Coagulation Model to Predict INR Therapeutic Range During Warfarin Treatment
A. Bouchnita
;
K. Bouzaachane
;
T. Galochkina
;
P. Kurbatova
;
P. Nony
;
V. Volpert
p. 28-44
Physiologically Structured Cell Population Dynamic Models with Applications to Combined Drug Delivery Optimisation in Oncology
J. Clairambault
;
O. Fercoq
p. 45-70
Reaction Mechanisms and Kinetic Constants used in Mechanistic Models of Coagulation and Fibrinolysis
A.M. Susree
;
B.M. Anand
p. 71-90
Computational modeling of Quiescent Platelet Energy Metabolism in the Context of Whole-body Glucose Turnover
T.O. Shepelyuk
;
M.A. Panteleev
;
A.N. Sveshnikova
p. 91-101
Erratum to the paper "Reaction Mechanisms and Kinetic Constants used in Mechanistic Models of Coagulation and Fibrinolysis" - Math. Model. Nat. Phenom., 11 (2016), no. 6, 71-90, DOI: 10.1051/mmnp/201611605
M. Susree
;
M. Anand
p. 102