Geodesic

Issue no. 1 Table of Contents

Preface
p. 1-3
Optimal Control of Leukemic Cell Population Dynamics
p. 4-26
A Fluid-Structure Interaction Model of the Cell Membrane Deformation: Formation of a Filopodium
p. 27-38
Respiratory Control and the Onset of Periodic Breathing
p. 39-57
Existence and Stability of Limit Cycles in a Two-delays Model of Hematopoiesis Including Asymmetric Division
p. 58-78
Simulating Stochasticities in Chemical Reactions with Deterministic Delay Differential Equations
p. 79-91
Predator-Prey Interactions, Age Structures and Delay Equations
p. 92-107
Stability Analysis of a Feedback Model for the Action of the Immune System in Leukemia
p. 108-132
Projecting Biochemistry Over Long Distances
p. 133-138
Diffusion and Deterministic Systems
p. 139-150

Issue no. 2 Table of Contents

Preface
p. 1-3
Epidemic Spread in Networks: Existing Methods and Current Challenges
p. 4-42
Approximate Master Equations for Dynamical Processes on Graphs
p. 43-57
Pairwise and Edge-based Models of Epidemic Dynamics on Correlated Weighted Networks
p. 58-81
Outbreak of Infectious Diseases through the Weighted Random Connection Model
p. 82-88
The Effect of Graph Structure on Epidemic Spread in a Class of Modified Cycle Graphs
p. 89-107
Spectral Properties of the Connectivity Matrix and the SIS-epidemic Threshold for Mid-size Metapopulations
p. 108-120
A Generating Function Approach to HIV Transmission with Dynamic Contact Rates
p. 121-135
Individual-based Information Dissemination in Multilayer Epidemic Modeling
p. 136-152
Non-Markovian Stochastic Epidemics in Extremely Heterogeneous Populations
p. 153-160
Coupling Vector-host Dynamics with Weather Geography and Mitigation Measures to Model Rift Valley Fever in Africa
p. 161-177
Corrigendum to "A Generating Function Approach to HIV Transmission with Dynamic Contact Rates"
p. 178-181

Issue no. 3 Table of Contents

Modelling Biological Evolution: Introduction to the Special Issue
p. 1-4
Mathematics of Darwin’s Diagram
p. 5-25
Modelling Effects of Rapid Evolution on Persistence and Stability in Structured Predator-Prey Systems
p. 26-46
Replicator Equations and Space
p. 47-67
Replicator Equations and Models of Biological Populations and Communities
p. 68-95
Toward a General Model for the Evolution of DNA Replication in Three Domains of Life
p. 96-106
Oscillations and DNA Repair in a Spatio-Temporal Model of the p53 Signalling Pathway
p. 107-123
Metapopulation Dynamics and the Evolution of Sperm Parasitism
p. 124-137
Kleptoparasitic Interactions under Asymmetric Resource Valuation
p. 138-147
The Evolutionary Dynamics of Aposematism: a Numerical Analysis of Co-Evolution in Finite Populations
p. 148-164

Issue no. 4 Table of Contents

Preface
p. 1-5
Zero-Stabilization for Some Diffusive Models with State Constraints
p. 6-19
Constant Versus Periodic Fishing: Age Structured Optimal Control Approach
p. 20-37
Optimal Sustainable Policies Under Pollution Ceiling: the Demographic Side
p. 38-64
A Numerical Method for the Controls of the Heat Equation
p. 65-87
Evolutionary Dynamics of Cancer Cell Populations under Immune Selection Pressure and Optimal Control of Chemotherapy
p. 88-104
Optimal Vaccination, Treatment, and Preventive Campaigns in Regard to the SIR Epidemic Model
p. 105-121
Linear Size-structured Population Models with Spacial Diffusion and Optimal Harvesting Problems
p. 122-130
A Review of Optimal Chemotherapy Protocols: From MTD towards Metronomic Therapy
p. 131-152
Control Approach to an Ill-Posed Variational Inequality
p. 153-170
Optimal Control in Coupled Within-host and Between-host Models
p. 171-203
Optimal Protocols for the Anti-VEGF Tumor Treatment
p. 204-215
Local Controllability of Models of Combined Anticancer Therapy with Delays in Control
p. 216-226
Modeling of Environmental Adaptation versus Pollution Mitigation
p. 227-237

Issue no. 5 Table of Contents

Exactly Solvable Models and Bifurcations: the Case of the Cubic NLS with a δ or a δ′ Interaction in Dimension One
p. 1-16
Lp-boundedness of Multilinear Pseudo-differential Operators on Zn and Tn
p. 17-38
Spectral Theory of the Hermite Operator on Lp(Rn)
p. 39-43
The Infinite XXZ Quantum Spin Chain Revisited: Structure of Low Lying Spectral Bands and Gaps
p. 44-72
Transformation of Narrowband Wavetrains of Surface Gravity Waves Passing over a Bottom Step
p. 73-82
The Projection Method for Multidimensional Framelet and Wavelet Analysis
p. 83-110
Symmetries and Conservation Laws of a Spectral Nonlinear Model for Atmospheric Baroclinic Jets
p. 111-118
Spectral Analysis of the Efficiency of Vertical Mixing in the Deep Ocean due to Interaction of Tidal Currents with a Ridge Running down a Continental Slope
p. 119-137
Reconstruction of Structured Quadratic Pencils from Eigenvalues on Ellipses and Parabolas
p. 138-147
Theory of Dimension for Large Discrete Sets and Applications
p. 148-169
Schrödinger Operators on a Half-Line with Inverse Square Potentials
p. 170-176
Efficient Processing of Fluorescence Images Using Directional Multiscale Representations
p. 177-193
Localization Operators for Ridgelet Transforms
p. 194-203
Tridiagonal Substitution Hamiltonians
p. 204-238
A Characterization of Compact SG Pseudo-differential Operators on L2(ℝn)
p. 239-243
Inverse Scattering Problem with Underdetermined Data
p. 244-253
Calculation of Electromagnetic Wave Scattering by a Small Impedance Particle of an Arbitrary Shape
p. 254-269
Spectral Properties of Random and Deterministic CMV Matrices
p. 270-281
CMV Matrices with Super Exponentially Decaying Verblunsky Coefficients
p. 282-294
A Kernel Representation of Dirac Structures for Infinite-dimensional Systems
p. 295-308

Issue no. 6 Table of Contents

Preface
p. 1-3
Systems Biology and Systems Pharmacology of Thrombosis
p. 4-16
Importance of VIIIa Inactivation in a Mathematical Model for the Formation, Growth, and Lysis of Clots
p. 17-33
Blood Coagulation Simulations using a Viscoelastic Model
p. 34-45
A 2D Mathematical Model of Blood Flow and its Interactions in an Atherosclerotic Artery
p. 46-68
Numerical Modelling of Cell Distribution in Blood Flow
p. 69-84
Patient Specific Haemodynamic Modeling after Occlusion Treatment in Leg
p. 85-97
Patient-specific Blood Flow Simulations: Setting Dirichlet Boundary Conditions for Minimal Error with Respect to Measured Data
p. 98-116
Blood Flow Simulation Using Traceless Variant of Johnson-Segalman Viscoelastic Model
p. 117-141