Geodesic

Issue no. 1 Table of Contents

Preface
p. 1-2
Cancer as Multifaceted Disease
p. 3-28
Intracellular Modelling of Cell-Matrix Adhesion during Cancer Cell Invasion
p. 29-48
A Computational Framework to Assess the Efficacy of Cytotoxic Molecules and Vascular Disrupting Agents against Solid Tumours
p. 49-77
A Hybrid Model Describing Different Morphologies of Tumor Invasion Fronts
p. 78-104
Investigation of the Migration/Proliferation Dichotomy and its Impact on Avascular Glioma Invasion
p. 105-135
A Mathematical Model of Cancer Stem Cell Lineage Population Dynamics with Mutation Accumulation and Telomere Length Hierarchies
p. 136-165
Mathematical Modeling of Leukemogenesis and Cancer Stem Cell Dynamics
p. 166-202
Stability Analysis of Cell Dynamics in Leukemia
p. 203-234
Periodic Solutions in a Mathematical Model for the Treatment of Chronic Myelogenous Leukemia
p. 235-244
Modeling Spatial Effects in Early Carcinogenesis : Stochastic Versus Deterministic Reaction-Diffusion Systems
p. 245-260
Delay Dynamics of Cancer and Immune Cell Model
p. 261-278
Mathematical Modelling of Cancer Stem Cells Population Behavior
p. 279-305
Modeling the Impact of Anticancer Agents on Metastatic Spreading
p. 306-336
Analysis of the Growth Control Network Specific for Human Lung Adenocarcinoma Cells
p. 337-368

Issue no. 2 Table of Contents

Adiabatic Evolution of Coupled Waves for a Schrödinger-Korteweg-de Vries System
p. 1-12
On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D
p. 13-31
Soliton-pair Propagation under Thermal Bath Effect
p. 32-37
Baroclinic Kelvin Waves in a Rotating Circular Basin
p. 38-51
Applications of Lie Group Analysis to Mathematical Modelling in Natural Sciences
p. 52-65
Blow-up Solutions of Quasilinear Hyperbolic Equations With Critical Sobolev Exponent
p. 66-76
Nonexistence of Coherent Structures in Two-dimensional Inviscid Channel Flow
p. 77-82
Low-Dimensional Description of Pulses under the Action of Global Feedback Control
p. 83-94
Solitons and Gibbs Measures for Nonlinear Schrödinger Equations
p. 95-112
On Numerical Solution of the Gardner–Ostrovsky Equation
p. 113-130
KdV Equation in the Quarter–Plane: Evolution of the Weyl Functions and Unbounded Solutions
p. 131-145
Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order
p. 146-154

Issue no. 3 Table of Contents

Scaling of Stochasticity in Dengue Hemorrhagic Fever Epidemics
p. 1-11
Optimal Screening in Structured SIR Epidemics
p. 12-27
Do Demographic and Disease Structures Affect the Recurrence of Epidemics ?
p. 28-39
A Modeling Framework For Immune-related Diseases
p. 40-48
On the Dynamics of a Two-Strain Influenza Model with Isolation
p. 49-61
A Cost-Effectiveness-Assessing Model of Vaccination for Varicella and Zoster
p. 62-77
Could changes in national tuberculosis vaccination policies be ill-informed ?
p. 78-98
Deterministic Chaos vs. Stochastic Fluctuation in an Eco-epidemic Model
p. 99-116
Analysis of The Impact of Diabetes on The Dynamical Transmission of Tuberculosis
p. 117-146
Epidemiological Models With Parametric Heterogeneity : Deterministic Theory for Closed Populations
p. 147-167
Modelling and Mathematical Analysis of the Glass Eel Migration in the Adour River Estuary
p. 168-185
Mathematical and Computational Models in Tumor Immunology
p. 186-203
Memory Effects in Population Dynamics : Spread of Infectious Disease as a Case Study
p. 204-226
Algebraic Methods for Studying Interactions Between Epidemiological Variables
p. 227-252
Modeling Adaptive Behavior in Influenza Transmission
p. 253-262

Issue no. 4 Table of Contents

Contact Angles of Sessile Droplets Deposited on Rough and Flat Surfaces in the Presence of External Fields
p. 1-5
Effects of In-plane Elastic Stress and Normal External Stress on Viscoelastic Thin Film Stability
p. 6-19
Controlling Nanoparticles Formation in Molten Metallic Bilayers by Pulsed-Laser Interference Heating
p. 20-38
A Discrete Model For Pattern Formation In Volatile Thin Films
p. 39-52
Evaporation-driven Contact Angles in a Pure-vapor Atmosphere : the Effect of Vapor Pressure Non-uniformity
p. 53-63
Shear-induced Electrokinetic Lift at Large Péclet Numbers
p. 64-81
Evaporation of Sessile Water Droplets in Presence of Contact Angle Hysteresis
p. 82-98
Dynamics of a Reactive Thin Film
p. 99-145

Issue no. 5 Table of Contents

Preface. Distributed Parameter Systems in Immunology
p. 1-3
The Immune System – Complexity Exemplified
p. 4-6
Propagation of Growth Uncertainty in a Physiologically Structured Population
p. 7-23
Mathematical Models of Dividing Cell Populations: Application to CFSE Data
p. 24-52
The Use of CFSE-like Dyes for Measuring Lymphocyte Proliferation : Experimental Considerations and Biological Variables
p. 53-64
Modeling the Dynamics of the Cardiovascular-respiratory System (CVRS) in Humans, a Survey
p. 65-77
Human Immunodeficiency Virus Infection : from Biological Observations to Mechanistic Mathematical Modelling
p. 78-104
From Quasispecies Theory to Viral Quasispecies: How Complexity has Permeated Virology
p. 105-122
Host Factors in Viral Life Cycles
p. 123-132

Issue no. 6 Table of Contents

Delay Differential Equations and Autonomous Oscillations in Hematopoietic Stem Cell Dynamics Modeling
p. 1-22
Multiplicative-noise Can Suppress Chaotic Oscillation in Lotka-Volterra Type Competitive Model
p. 23-46
Oscillations in Functional Structural Plant Growth Models
p. 47-66
Precise Self-tuning of Spiking Patterns in Coupled Neuronal Oscillators
p. 67-94
An Analysis of Overall Network Architecture Reveals an Infinite-period Bifurcation Underlying Oscillation Arrest in the Segmentation Clock
p. 95-106
Modeling Biological Rhythms in Cell Populations
p. 107-125
The Cell Cycle is a Limit Cycle
p. 126-166
Membrane associated complexes : new approach to calcium dynamics modelling
p. 167-186