Geodesic

Issue no. 1 Table of Contents

Locking-Free Finite Elements for Unilateral Crack Problems in Elasticity
p. 1-20
On the Unilateral Contact Between Membranes. Part 1: Finite Element Discretization and Mixed Reformulation
p. 21-43
Numerical Modelling of Contact Elastic-Plastic Flows
p. 44-87
A Reduced Basis Enrichment for the eXtended Finite Element Method
p. 88-105
A Posteriori Error Estimates for Finite Volume Approximations
p. 106-122
A Domain Decomposition Algorithm for Contact Problems: Analysis and Implementation
p. 123-146
Weak Formulations and Solution Multiplicity of Equilibrium Configurations with Coulomb Friction
p. 147-162
A Stabilized Lagrange Multiplier Method for the Finite Element Approximation of Frictional Contact Problems in Elastostatics
p. 163-182
Singular Perturbations For Heart Image Segmentation Tracking
p. 183-194

Issue no. 2 Table of Contents

Approximating the Stability Region for a Differential Equation with a Distributed Delay
p. 1-27
Delay Model of Hematopoietic Stem Cell Dynamics: Asymptotic Stability and Stability Switch
p. 28-47
Uniqueness of Monotone Mono-stable Waves for Reaction-Diffusion Equations with Time Delay
p. 48-67
On the Dynamics of an Impulsive Model of Hematopoiesis
p. 68-91
Generalization of the Kermack-McKendrick SIR Model to a Patchy Environment for a Disease with Latency
p. 92-118
New Computational Tools for Modeling Chronic Myelogenous Leukemia
p. 119-139
On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
p. 140-188

Issue no. 3 Table of Contents

Multiphase and Multiscale Trends in Cancer Modelling
p. 1-11
Modelling Physiological and Pharmacological Control on Cell Proliferation to Optimise Cancer Treatments
p. 12-67
Mathematical Modelling of Tumour Dormancy
p. 68-96
Spatio-Temporal Modelling of the p53–mdm2 Oscillatory System
p. 97-116
The Importance of Spatial Distribution of Stemness and Proliferation State in Determining Tumor Radioresponse
p. 117-133
Free Boundary Problems Associated with Multiscale Tumor Models
p. 134-155
A Maturity-Structured Mathematical Model of Mutation, Acquisition in the Absence of Homeostatic Regulation
p. 156-182
Comparison of Perron and Floquet Eigenvalues in Age Structured Cell Division Cycle Models
p. 183-209
Dynamics of Erythroid Progenitors and Erythroleukemia
p. 210-232

Issue no. 4 Table of Contents

Preface
p. 1-2
The Intersection of Theory and Application in Elucidating Pattern Formation in Developmental Biology
p. 3-82
Stippling the Skin: Generation of Anatomical Periodicity by Reaction-Diffusion Mechanisms
p. 83-102
Multi-scale Modelling for Threshold Dependent Differentiation
p. 103-117
In vitro Vasculogenesis Models Revisited - Measurement of VEGF Diffusion in Matrigel
p. 118-130
A Finite Element Model Based on Discontinuous Galerkin Methods on Moving Grids for Vertebrate Limb Pattern Formation
p. 131-148
Modeling Morphogenesis in silico and in vitro: Towards Quantitative, Predictive, Cell-based Modeling
p. 149-171

Issue no. 5 Table of Contents

Foreword
p. 1-3
Polysystem Modelling of Geographical Processes and Phenomena in Nature and Society
p. 4-20
Functorial Models of Spatio-Temporal Landscape Field of the Earth: Methods of Comparative-Geographical Studies Based on Data of Remote Sensing
p. 21-36
Structure of the Earth Natural Geoinfromation System
p. 37-52
System analysis and mapping of interaction mechanisms of natural processes in mountainous-taiga landscapes
p. 53-71
Multilevel Modeling of the Forest Resource Dynamics
p. 72-88
Numerical Modeling of the Stream Dynamics for River Channels with Complex Spatial Configuration
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
p. 100-113
Roe Scheme for Two-layer Shallow Water Equations: Application to the Strait of Gibraltar
p. 114-127
Robust Feedback Control Design for a Nonlinear Wastewater Treatment Model
p. 128-143
Ecological-Economic Model of the Region: Information Technology, Forecasting and Optimal Control
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
p. 158-175

Issue no. 6 Table of Contents

General Laws of Adaptation to Environmental Factors: from Ecological Stress to Financial Crisis
p. 1-53
Evolutionary Games in Space
p. 54-90
Feeding Threshold for Predators Stabilizes Predator-Prey Systems
p. 91-108
Bacteriophage Infection Dynamics: Multiple Host Binding Sites
p. 109-134
Seasonality, Climate Cycles and Body Size Evolution
p. 135-155
Competitive Exclusion in a Discrete Stage-Structured Two Species Model
p. 156-175