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Mathematical modelling of natural phenomena
Tome 4 (2009)
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Sommaire du
Fascicule no. 1
Locking-Free Finite Elements for Unilateral Crack Problems in Elasticity
Z. Belhachmi
;
J.-M. Sac-Epée
;
S. Tahir
p. 1-20
On the Unilateral Contact Between Membranes. Part 1: Finite Element Discretization and Mixed Reformulation
F. Ben Belgacem
;
C. Bernardi
;
A. Blouza
;
M. Vohralík
p. 21-43
Numerical Modelling of Contact Elastic-Plastic Flows
N. M. Bessonov
;
S. F. Golovashchenko
;
V. A. Volpert
p. 44-87
A Reduced Basis Enrichment for the eXtended Finite Element Method
E. Chahine
;
P. Laborde
;
Y. Renard
p. 88-105
A Posteriori Error Estimates for Finite Volume Approximations
S. Cochez-Dhondt
;
S. Nicaise
;
S. Repin
p. 106-122
A Domain Decomposition Algorithm for Contact Problems: Analysis and Implementation
J. Haslinger
;
R. Kučera
;
T. Sassi
p. 123-146
Weak Formulations and Solution Multiplicity of Equilibrium Configurations with Coulomb Friction
M. Bostan
;
P. Hild
p. 147-162
A Stabilized Lagrange Multiplier Method for the Finite Element Approximation of Frictional Contact Problems in Elastostatics
V. Lleras
p. 163-182
Singular Perturbations For Heart Image Segmentation Tracking
J. Pousin
p. 183-194
Sommaire du
Fascicule no. 2
Approximating the Stability Region for a Differential Equation with a Distributed Delay
S. A. Campbell
;
R. Jessop
p. 1-27
Delay Model of Hematopoietic Stem Cell Dynamics: Asymptotic Stability and Stability Switch
F. Crauste
p. 28-47
Uniqueness of Monotone Mono-stable Waves for Reaction-Diffusion Equations with Time Delay
W. Huang
;
M. Han
;
M. Puckett
p. 48-67
On the Dynamics of an Impulsive Model of Hematopoiesis
C. Kou
;
M. Adimy
;
A. Ducrot
p. 68-91
Generalization of the Kermack-McKendrick SIR Model to a Patchy Environment for a Disease with Latency
J. Li
;
X. Zou
p. 92-118
New Computational Tools for Modeling Chronic Myelogenous Leukemia
M. M. Peet
;
P. S. Kim
;
S.-I. Niculescu
;
D. Levy
p. 119-139
On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
S. Ruan
p. 140-188
Sommaire du
Fascicule no. 3
Multiphase and Multiscale Trends in Cancer Modelling
L. Preziosi
;
A. Tosin
p. 1-11
Modelling Physiological and Pharmacological Control on Cell Proliferation to Optimise Cancer Treatments
J. Clairambault
p. 12-67
Mathematical Modelling of Tumour Dormancy
K. M. Page
p. 68-96
Spatio-Temporal Modelling of the p53–mdm2 Oscillatory System
K. E. Gordon
;
I. M.M. van Leeuwen
;
S. Laín
;
M. A.J. Chaplain
p. 97-116
The Importance of Spatial Distribution of Stemness and Proliferation State in Determining Tumor Radioresponse
H. Enderling
;
D. Park
;
L. Hlatky
;
P. Hahnfeldt
p. 117-133
Free Boundary Problems Associated with Multiscale Tumor Models
A. Friedman
p. 134-155
A Maturity-Structured Mathematical Model of Mutation, Acquisition in the Absence of Homeostatic Regulation
S. N. Gentry
;
R. Ashkenazi
;
T. L. Jackson
p. 156-182
Comparison of Perron and Floquet Eigenvalues in Age Structured Cell Division Cycle Models
J. Clairambault
;
S. Gaubert
;
Th. Lepoutre
p. 183-209
Dynamics of Erythroid Progenitors and Erythroleukemia
N. Bessonov
;
F. Crauste
;
I. Demin
;
V. Volpert
p. 210-232
Sommaire du
Fascicule no. 4
Preface
P. K. Maini
;
R. E. Baker
p. 1-2
The Intersection of Theory and Application in Elucidating Pattern Formation in Developmental Biology
H. G. Othmer
;
K. Painter
;
D. Umulis
;
C. Xue
p. 3-82
Stippling the Skin: Generation of Anatomical Periodicity by Reaction-Diffusion Mechanisms
D. J. Headon
;
K. J. Painter
p. 83-102
Multi-scale Modelling for Threshold Dependent Differentiation
A. Q. Cai
;
Y. Peng
;
J. Wells
;
X. Dai
;
Q. Nie
p. 103-117
In vitro Vasculogenesis Models Revisited - Measurement of VEGF Diffusion in Matrigel
T. Miura
;
R. Tanaka
p. 118-130
A Finite Element Model Based on Discontinuous Galerkin Methods on Moving Grids for Vertebrate Limb Pattern Formation
J. Zhu
;
Y.-T. Zhang
;
S. A. Newman
;
M. S. Alber
p. 131-148
Modeling Morphogenesis in silico and in vitro: Towards Quantitative, Predictive, Cell-based Modeling
R. M. H. Merks
;
P. Koolwijk
p. 149-171
Sommaire du
Fascicule no. 5
Foreword
A. K. Cherkashin
p. 1-3
Polysystem Modelling of Geographical Processes and Phenomena in Nature and Society
A. K. Cherkashin
p. 4-20
Functorial Models of Spatio-Temporal Landscape Field of the Earth: Methods of Comparative-Geographical Studies Based on Data of Remote Sensing
E. A. Istomina
p. 21-36
Structure of the Earth Natural Geoinfromation System
A. D. Kitov
p. 37-52
System analysis and mapping of interaction mechanisms of natural processes in mountainous-taiga landscapes
S. Myasnikova
p. 53-71
Multilevel Modeling of the Forest Resource Dynamics
I. N. Vladimirov
;
A. K. Chudnenko
p. 72-88
Numerical Modeling of the Stream Dynamics for River Channels with Complex Spatial Configuration
V. A. Shlychkov
p. 89-99
Modeling Non-Stationary Processes of Diffusion of Solute Substances in the Near-Bottom Layer ofWater Reservoirs: Variation of the Direction of Flows and Assessment of Admissible Biogenic Load
V. V. Kozlov
p. 100-113
Roe Scheme for Two-layer Shallow Water Equations: Application to the Strait of Gibraltar
M. Chakir
;
D. Ouazar
;
A. Taik
p. 114-127
Robust Feedback Control Design for a Nonlinear Wastewater Treatment Model
M. Serhani
;
N. Raissi
;
P. Cartigny
p. 128-143
Ecological-Economic Model of the Region: Information Technology, Forecasting and Optimal Control
V. Gurman
;
V. Baturin
p. 144-157
Modeling of the Socio-Economic Potential of the Siberian Regions with Consideration for their Economic-Geographical Position in the National Economic System of the Russian Federation
A. V. Myadzelets
p. 158-175
Sommaire du
Fascicule no. 6
General Laws of Adaptation to Environmental Factors: from Ecological Stress to Financial Crisis
A. N. Gorban
;
E. V. Smirnova
;
T. A. Tyukina
p. 1-53
Evolutionary Games in Space
N. Kronik
;
Y. Cohen
p. 54-90
Feeding Threshold for Predators Stabilizes Predator-Prey Systems
D. Bontje
;
B. W. Kooi
;
G. A.K. van Voorn
;
S.A.L.M Kooijman
p. 91-108
Bacteriophage Infection Dynamics: Multiple Host Binding Sites
H. L. Smith
;
R. T. Trevino
p. 109-134
Seasonality, Climate Cycles and Body Size Evolution
T. A. Troost
;
J. A. van Dam
;
B. W. Kooi
;
E. Tuenter
p. 135-155
Competitive Exclusion in a Discrete Stage-Structured Two Species Model
A. S. Ackleh
;
P. Zhang
p. 156-175