Geodesic

Sommaire du Fascicule no. 1

Hybrid Modelling in Cell Biology
p. 1
A Measure-Theoretic Model for Collective Cell Migration and Aggregation
p. 4-35
Influence of Fibrinogen Deficiency on Clot Formation in Flow by Hybrid Model
p. 36-47
Hybrid Models in Erythropoiesis and in Megakaryopoiesis
p. 48-63
Stochastic Multiscale Models of Cell Population Dynamics: Asymptotic and Numerical Methods
p. 64-93
Model-based Comparison of Cell Density-dependent Cell Migration Strategies
p. 94-107
Computational Models of Sprouting Angiogenesis and Cell Migration: Towards Multiscale Mechanochemical Models of Angiogenesis
p. 108-141
A Hybrid Model to Test the Importance of Mechanical Cues Driving Cell Migration in Angiogenesis
p. 142-166

Sommaire du Fascicule no. 2

Modelling in Ecology, Epidemiology and Ecoepidemiology: Introduction to the Special Issue
p. 1-4
Time Dependent Diffusion as a Mean Field Counterpart of Lévy Type Random Walk
p. 5-26
The Role of Avoidance and Learning Behaviours on the Formation and Movement of Biological Aggregations
p. 27-44
Impact of Dispersal on the Total Population Size, Constancy and Persistence of Two-patch Spatially-separated Populations
p. 45-55
Dynamical Behavior of a Stochastic SIRS Epidemic Model
p. 56-73
A Generalist Predator Regulating Spread of a Wildlife Disease: Exploring Two Infection Transmission Scenarios
p. 74-95
Mathematical Modelling of Spatiotemporal Dynamics of Oxygen in a Plankton System
p. 96-114
Variational Principle for Self-replicating Systems
p. 115-128
Stochastic Sensitivity Analysis and Control for Ecological Model with the Allee Effect
p. 130-140
Prediction and Predictability in Population Biology: Noise and Chaos
p. 142-164

Sommaire du Fascicule no. 3

Preface
p. 1-5
The Problem with Hilbert’s 6th Problem
p. 6-15
Geometry of the Computational Singular Perturbation Method
p. 16-30
Fast Fermi Acceleration and Entropy Growth
p. 31-47
Nonlinear Tempering of Subdiffusion with Chemotaxis, Volume Filling, and Adhesion
p. 48-60
Magnetic Flux Leakage Method: Large-Scale Approximation
p. 61-70
Equation-free Model Reduction in Agent-based Computations: Coarse-grained Bifurcation and Variable-free Rare Event Analysis
p. 71-90
Flow Structure Identification for Nonlinear Dynamical Systems via Finite-Time Lyapunov Analysis
p. 91-104
Entropy-inspired Lyapunov Functions and Linear First Integrals for Positive Polynomial Systems
p. 105-123
Model Reduction of Biochemical Reactions Networks by Tropical Analysis Methods
p. 124-138
Noise-Produced Patterns in Images Constructed from Magnetic Flux Leakage Data
p. 139-148
An Invariant-Manifold Approach to Lumping
p. 149-167
About Bifurcational Parametric Simplification
p. 168-185
Overcoming Complexity of Biological Systems: from Data Analysis to Mathematical Modeling
p. 186-205
Fuzzy Adaptive Resonance Theory, Diffusion Maps and their applications to Clustering and Biclustering
p. 206-211
Leaders Do Not Look Back, or Do They?
p. 212-231

Sommaire du Fascicule no. 4

Brownian Motion in the Fluids with Complex Rheology
p. 1-43
Modelling Pattern Formation in Dip-Coating Experiments
p. 44-60
Hysteresis of Contact Angle of Sessile Droplets
p. 61-75
Pore Growth in a Planar Liquid Membrane
p. 76-82
Electromigration-driven Evolution of the Surface Morphology and Composition for a Bi-Component Solid Film
p. 83-96
Step Growth and Meandering in a Precursor-Mediated Epitaxy with Anisotropic Attachment Kinetics and Terrace Diffusion
p. 97-110
Nanoscale Fluid Structure of Liquid-solid-vapour Contact Lines for a Wide Range of Contact Angles
p. 111-125

Sommaire du Fascicule no. 5

Three Waves of Chemical Dynamics
p. 1-5
Differential Equations on Graphs
p. 6-15
Generalized Mass Action Law and Thermodynamics of Nonlinear Markov Processes
p. 16-46
A Survey of Methods for Deciding Whether a Reaction Network is Multistationary
p. 47-67
A Parametric Analysis of the Basic Nonlinear Models of the Catalytic Reactions
p. 68-83
Genetic Recombination as a Chemical Reaction Network
p. 84-99
Algorithms to Study Large Metabolic Network Dynamics
p. 100-118
Independence of the Final Catalyst Activity Profile on the Details of Reactant Admission
p. 119-125
Forward-Invariant Peeling in Chemical Dynamics: a Simple Case Study
p. 126-134

Sommaire du Fascicule no. 6

Preface to the Issue Nonlocal Reaction-Diffusion Equations
p. 1-5
Stabilization of a Predator-Prey System with Nonlocal Terms
p. 6-16
Patterns and Transitions to Instability in an Intraspecific Competition Model with Nonlocal Diffusion and Interaction
p. 17-29
Patterns for Competing Populations with Species Specific Nonlocal Coupling
p. 30-47
Stochastic Path Perturbation Approach Applied to Non–Local Non–Linear Equations in Population Dynamics
p. 48-60
An Age-structured Model of Bird Migration
p. 61-76
A Mathematical Model for Flash Sintering
p. 77-89
A Time Discretization Scheme for a Nonlocal Degenerate Problem Modelling Resistance Spot Welding
p. 90-112
Spreading Speeds and Linear Determinacy for Two Species Competition Systems with Nonlocal Dispersal in Periodic Habitats
p. 113-141
The Decay Rates of Traveling Waves and Spectral Analysis for a Class of Nonlocal Evolution Equations
p. 142-162
Trait Evolution in two–sex Populations
p. 163-181