Geodesic

Issue no. 1 Table of Contents

Preface
p. 1-3
Quantitative Analysis of Melanocyte Migration in vitro Based on Automated Cell Tracking under Phase Contrast Microscopy Considering the Combined Influence of Cell Division and Cell-Matrix Interactions
p. 4-33
High Resolution Tracking of Cell Membrane Dynamics in Moving Cells: an Electrifying Approach
p. 34-55
On the Influence of Discrete Adhesive Patterns for Cell Shape and Motility: A Computational Approach
p. 56-83
Mechanisms of Cell Motion in Confined Geometries
p. 84-105
The Role of Cell-Cell Adhesion in the Formation of Multicellular Sprouts
p. 106-122
Volume Filling Effect in Modelling Chemotaxis
p. 123-147
Models of Self-Organizing Bacterial Communities and Comparisons with Experimental Observations
p. 148-162
Modelling the Impact of Pericyte Migration and Coverage of Vessels on the Efficacy of Vascular Disrupting Agents
p. 163-202
Individual Cell-Based Model for In-Vitro Mesothelial Invasion of Ovarian Cancer
p. 203-223
Towards Sub-cellular Modeling with Delaunay Triangulation
p. 224-238

Issue no. 2 Table of Contents

Quantitative Neuroscience: From Chalk Board to Bedside
p. 1-4
Analysis of Synchronization in a Neural Population by a Population Density Approach
p. 5-25
Dynamics of Stochastic Neuronal Networks and the Connections to Random Graph Theory
p. 26-66
Patterns, Memory and Periodicity in Two-Neuron Delayed Recurrent Inhibitory Loops
p. 67-99
Noise Shaping in Neural Populations with Global Delayed Feedback
p. 100-124
Indecision in Neural Decision Making Models
p. 125-145
Observers for Canonic Models of Neural Oscillators
p. 146-184
Past, Present and Future of Brain Stimulation
p. 185-207

Issue no. 3 Table of Contents

Preface
p. 1-2
Influenza Transmission in Preschools: Modulation by contact landscapes and interventions
p. 3-14
Hematologic Disorders and Bone Marrow–Peripheral Blood Dynamics
p. 15-27
The Effect of Bacteria on Epidermal Wound Healing
p. 28-39
Modeling the Cancer Stem Cell Hypothesis
p. 40-62
Optimal Control of a Cancer Cell Model with Delay
p. 63-75
Rapid Emergence of Co-colonization with Community-acquired and Hospital-Acquired Methicillin-Resistant Staphylococcus aureus Strains in the Hospital Setting
p. 76-93
Semigroup Analysis of Structured Parasite Populations
p. 94-114
Weighted Elastic Net Model for Mass Spectrometry Imaging Processing
p. 115-133
Widespread Immunity to Breast and Prostate Cancers is Predicted by a Novel Model that also Determines Sporadic and Hereditary Susceptible Population Sizes
p. 134-164
The Language of Caring: Quantitating Medical Practice Patterns using Symbolic Dynamics
p. 165-172
On Chemotaxis Models with Cell Population Interactions
p. 173-190
Pre-symptomatic Influenza Transmission, Surveillance, and School Closings: Implications for Novel Influenza A (H1N1)
p. 191-205
The Influence of Look-Ahead on the Error Rate of Transcription
p. 206-227

Issue no. 4 Table of Contents

Obituary: Mikhail Birman, 17.01.1928 - 2.07.2009
p. 1-3
Controllability of a Nonhomogeneous String and Ring under Time Dependent Tension
p. 4-31
Discrete Spectrum of the Periodic Schrödinger Operator with a Variable Metric Perturbed by a Nonnegative Potential
p. 32-53
Recent Results on the Cauchy Problem for Focusing and Defocusing Gross-Pitaevskii Hierarchies
p. 54-72
Boundary Data Maps for Schrödinger Operators on a Compact Interval
p. 73-121
Wave Equation with Slowly Decaying Potential: asymptotics of Solution and Wave Operators
p. 122-149
Weak Asymptotics for Schrödinger Evolution
p. 150-157
An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups
p. 158-174
Schrödinger Operator on the Zigzag Half-Nanotube in Magnetic Field
p. 175-197
Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation
p. 198-224
Regularity and Blow up for Active Scalars
p. 225-255
Semiclassical Analysis of the Largest Gap of Quasi-Periodic Schrödinger Operators
p. 256-268
The Algebraic Multiplicity of Eigenvalues and the Evans Function Revisited
p. 269-292
Critical Dimensions for counting Lattice Points in Euclidean Annuli
p. 293-316
Double Operator Integrals and Submajorization
p. 317-339
On the GBDT Version of the Bäcklund-Darboux Transformation and its Applications to Linear and Nonlinear Equations and Weyl Theory
p. 340-389
Homogenization of a Periodic Parabolic Cauchy Problem in the Sobolev Space H1 (ℝd)
p. 390-447
On Threshold Eigenvalues and Resonances for the Linearized NLS Equation
p. 448-469

Issue no. 5 Table of Contents

Generation of Interface for an Allen-Cahn Equation with Nonlinear Diffusion
p. 1-12
Travelling Waves in Near-Degenerate Bistable Competition Models
p. 13-35
Oscillatory Propagation of a Rich Premixed Spray Flame
p. 36-45
Waves of Autocrine Signaling in Patterned Epithelia
p. 46-63
On the Form of Smooth-Front Travelling Waves in a Reaction-Diffusion Equation with Degenerate Nonlinear Diffusion
p. 64-79
Existence of Waves for a Nonlocal Reaction-Diffusion Equation
p. 80-101
Spatiotemporal Dynamics in a Spatial Plankton System
p. 102-122
Influence of Vibrations on Convective Instability of Reaction Fronts in Porous Media
p. 123-137

Issue no. 6 Table of Contents

Long-Time Simulation of a Size-Structured Population Model with a Dynamical Resource
p. 1-21
Modelling the Spread of Infectious Diseases in Complex Metapopulations
p. 22-37
Approximate Aggregation Methods in Discrete Time Stochastic Population Models
p. 38-69
Analysis of a Nonautonomous HIV/AIDS Model
p. 70-95
A New Mathematical Model of Syphilis
p. 96-108
Stability of the Endemic Coexistence Equilibrium for One Host and Two Parasites
p. 109-138
A Model of Large-Scale Evolution of Complex Food Webs
p. 139-158
Mathematical Modeling Describing the Effect of Fishing and Dispersion on Hermaphrodite Population Dynamics
p. 159-179
An Optimal Control Problem for a Predator-Prey Reaction-Diffusion System
p. 180-195
Modelling Tuberculosis and Hepatitis B Co-infections
p. 196-242
Mathematical Modeling and Quantitative Analysis of the Demographic and Ecological Aspects of Russian Supermortality
p. 243-258

Issue no. 7 Supplement Table of Contents

Preface
p. 1-3
RBF Based Meshless Method for Large Scale Shallow Water Simulations: Experimental Validation
p. 4-10
Variational Reduction for the Transport Equation in a Multiple Branching Plants Growth Model
p. 11-15
Local Parameterization and the Asymptotic Numerical Method
p. 16-22
Spectral Numerical Study of a Problem Governed by Navier-Stokes Equations, Influence of Rayleigh and Prandtl Numbers
p. 23-28
Global Existence of Periodic Solutions in a Delayed Tumor-Immune Model
p. 29-34
Influence of Vibrations on Convective Instability of Reaction Fronts in Liquids
p. 35-41
Particle Dynamics Modelling of Cell Populations
p. 42-47
Block Factorization of Hankel Matrices and Euclidean Algorithm
p. 48-54
Meshless Polyharmonic Div-Curl Reconstruction
p. 55-59
A SOR Acceleration of Self-Adjoint and m-Accretive Splitting Iterative Solver for 2-D Neutron Transport Equation
p. 60-66
A Posteriori Error Estimates on Stars for Convection Diffusion Problem
p. 67-72
Mesh Refinement For Stabilized Convection Diffusion Equations
p. 73-77
Quasi-Optimal Triangulations for Gradient Nonconforming Interpolates of Piecewise Regular Functions
p. 78-83
Analysis and Numerical Approximation of an Electro-elastic Frictional Contact Problem
p. 84-90
Edge-based a Posteriori Error Estimators for Generating Quasi-optimal Simplicial Meshes
p. 91-96
A Global Stochastic Optimization Method for Large Scale Problems
p. 97-102
The Mean-Variance-CVaR model for Portfolio Optimization Modeling using a Multi-Objective Approach Based on a Hybrid Method
p. 103-108
The Placement of Electronic Circuits Problem: A Neural Network Approach
p. 109-115
Integer Programming Formulation of the Bilevel Knapsack Problem
p. 116-121
Split of an Optimization Variable in Game Theory
p. 122-127
Bilevel Approach of a Decomposed Topology Optimization Problem
p. 128-131
Hybrid Particle Swarm and Neural Network Approach for Streamflow Forecasting
p. 132-138
Enlarged Asymptotic Compensation in Discrete Distributed Systems
p. 139-144
Spreadability, Vulnerability and Protector Control
p. 145-150
On the Optimal Control of a Class of Time-Delay System
p. 151-155