Geodesic

Issue no. 1 Table of Contents

Obituary: Alexander A. Golovin (1962-2008)
p. 1-2
On Oscillatory Instability in Convective Burning of Gas-Permeable Explosives
p. 3-16
Theory of Dilute Binary Granular Gas Mixtures
p. 17-47
Solitary Structures Sustained by Marangoni Flow
p. 48-61
Determination of the Thickness and Composition Profiles for a Film of Binary Mixture on a Solid Substrate
p. 62-86
Interaction of Turing and Hopf Modes in the Superdiffusive Brusselator Model Near a Codimension Two Bifurcation Point
p. 87-118
Motor-Mediated Microtubule Self-Organization in Dilute and Semi-Dilute Filament Solutions
p. 119-137
Pattern Formation Induced by Time-Dependent Advection
p. 138-148
On Chaotic Subthreshold Oscillations in a Simple Neuronal Model
p. 149-162
Modeling Dryland Landscapes
p. 163-187
Patterns and Waves Generated by a Subcritical Instability in Systems with a Conservation Law under the Action of a Global Feedback Control
p. 188-208
Control of Traveling Solutions in a Loop-Reactor
p. 209-225
On the Origin of Chaos in the Belousov-Zhabotinsky Reaction in Closed and Unstirred Reactors
p. 226-242

Issue no. 2 Table of Contents

Plant Growth and Development - Basic Knowledge and Current Views
p. 1-53
Morphospace: Measurement, Modeling, Mathematics, and Meaning
p. 54-81
Analysis of Space-Temporal Symmetry in the Early Embryogenesis of Calla palustris L., Araceae
p. 82-106
Modelling of Plant Growth with Apical or Basal Meristem
p. 107-132
Some Parameter Estimation Issues in Functional-Structural Plant Modelling
p. 133-159
Transport Equation Reduction for a Mathematical Model in Plant Growth
p. 160-172
The Geometric and Dynamic Essence of Phyllotaxis
p. 173-186

Issue no. 3 Table of Contents

Preface
p. 1
Observations Regarding Algorithms Required for Robust CFD Codes
p. 2-27
A High-Order Unifying Discontinuous Formulation for the Navier-Stokes Equations on 3D Mixed Grids
p. 28-56
Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method
p. 57-83
From h to p Efficiently: Selecting the Optimal Spectral/hp Discretisation in Three Dimensions
p. 84-96
Facilitating the Adoption of Unstructured High-Order Methods Amongst a Wider Community of Fluid Dynamicists
p. 97-140
Integrated Design of an Active Flow Control System Using a Time-Dependent Adjoint Method
p. 141-165
Automated CFD Analysis for the Investigation of Flight Handling Qualities
p. 166-188
Aerodynamic Computations Using a Finite Volume Method with an HLLC Numerical Flux Function
p. 189-212
Time Spectral Method for Periodic and Quasi-Periodic Unsteady Computations on Unstructured Meshes
p. 213-236
Application of a Higher Order Discontinuous Galerkin
p. 237-263

Issue no. 4 Table of Contents

Preface
p. 1
Role of Molecular Chaos in Granular Fluctuating Hydrodynamics
p. 2-18
Choosing Hydrodynamic Fields
p. 19-36
Hydrodynamics of Inelastic Maxwell Models
p. 37-76
Dense Granular Poiseuille Flow
p. 77-86
A Langevin Description for Driven Granular Gases
p. 87-117
Homogeneous Cooling with Repulsive and Attractive Long-Range Potentials
p. 118-150
Application of the Method of Generating Functions to the Derivation of Grad’s N-Moment Equations for a Granular Gas
p. 151-174
Mechanisms of Cluster Formation in Force-Free Granular Gases
p. 175-190
Hydrodynamics of Saturn’s Dense Rings
p. 191-218

Issue no. 5 Table of Contents

Simulation of the Three-Dimensional Flow of Blood Using a Shear-Thinning Viscoelastic Fluid Model
p. 1-24
Dynamics of Biomembranes: Effect of the Bulk Fluid
p. 25-43
Mathematical Modeling of Atmospheric Flow and Computation of Convex Envelopes
p. 44-66
Peristaltic Pumping of Solid Particles Immersed in a Viscoelastic Fluid
p. 67-83
Asymptotic Behavior of the Solution of the Distribution Diffusion Equation for FENE Dumbbell Polymer Model
p. 84-97
Microscopic Modelling of Active Bacterial Suspensions
p. 98-129
A Dual Mixed Formulation for Non-isothermal Oldroyd–Stokes Problem
p. 130-156
A Survey on Mathematical Modelling of Deposition in Waxy Crude Oils
p. 157-183
Quasichemical Models of Multicomponent Nonlinear Diffusion
p. 184-262
Modelling and Numerical Simulation of the Dynamics of Glaciers Including Local Damage Effects
p. 263-280
Segregation of Flowing Blood: Mathematical Description
p. 281-319
Particle Dynamics Methods of Blood Flow Simulations
p. 320-332
Blood Flow Simulation in Atherosclerotic Vascular Network Using Fiber-Spring Representation of Diseased Wall
p. 333-349

Issue no. 6 Table of Contents

Mathematical Biology Education: Modeling Makes Meaning
p. 1-21
Food Webs, Competition Graphs, and Habitat Formation
p. 22-38
Boolean Biology: Introducing Boolean Networks and Finite Dynamical Systems Models to Biology and Mathematics Courses
p. 39-60
Using R to Build and Assess Network Models in Biology
p. 61-75
The p and the Peas: An Intuitive Modeling Approach to Hypothesis Testing
p. 76-95
Using DNA Self-assembly Design Strategies to Motivate Graph Theory Concepts
p. 96-107
Unraveling the Tangled Complexity of DNA: Combining Mathematical Modeling and Experimental Biology to Understand Replication, Recombination and Repair
p. 108-135
Self-Assembly of Icosahedral Viral Capsids: the Combinatorial Analysis Approach
p. 136-158
Simulating Kinetic Processes in Time and Space on a Lattice
p. 159-197
Building Mathematical Models and Biological Insight in an Introductory Biology Course
p. 198-214
Classroom Manipulative to Engage Students in Mathematical Modeling of Disease Spread: 1+1 = Achoo!
p. 215-226
Drugs in the Classroom: Using Pharmacokinetics to Introduce Biomathematical Modeling
p. 227-244
Compartmental Models of Migratory Dynamics
p. 245-259
A Team Approach to Undergraduate Research in Biomathematics: Balance Control
p. 260-277
Using normal mode analysis in teaching mathematical modeling to biology students
p. 278-294
Integrating Photosynthesis, Respiration, Biomass Partitioning, and Plant Growth: Developing a Microsoft Excel®-based Simulation Model of Wisconsin Fast Plant (Brassica rapa, Brassicaceae) Growth with Undergraduate Students
p. 295-313

Issue no. 7 Supplement Table of Contents

Preface
p. 1
Application of Hybrid Models to Blood Cell Production in the Bone Marrow
p. 2-12
Reaction-Diffusion Modelling of Interferon Distribution in Secondary Lymphoid Organs
p. 13-26
Autowaves in the Model of Infiltrative Tumour Growth with Migration-Proliferation Dichotomy
p. 27-38
Computer Simulation of Protein-Protein Association in Photosynthesis
p. 39-54
Mathematical Model of Fibrin Polymerization
p. 55-69
Modelling of Dynamic Problems in Biomechanics
p. 70-81
Vessel Wall Models for Simulation of Atherosclerotic Vascular Networks
p. 82-99