Table of Contents
Preface v
Editorial Board of the BIO MAT Consortium vii
Mathematical Modelling of Infectious Diseases
Network Structure and Enzymatic Evolution in Leishmania Metabolism: A Computational Study A. Subramanian R. R. Sarkar 1
Long-Term Potential of Imperfect Seasonal Flu Vaccine in Presence of Natural Immunity S. Ghosh J. M. Heffernan 21
Impact of Non-Markovian Recovery on Network Epidemics G. Röst Z. Vizi I. Z. Kiss 40
A Modelling Framework for Serotype Replacement in Vaccine-Preventable Diseases M. Kang A. L. Espindola M. Laskowski S. M. Moghadas 54
Pattern Recognition of Biological Phenomena
An Integrative Approach for Model Driven Computation of Treatments in Reproductive Medicine R. Ehrig T. Dierkes S. Schäfer S. Röblitz E. Tronci T. Mancini I. Salvo V. Alimguzhin F. Mari I. Melatti A. Massini T. H. C. Krüger M. Egli F. Ille B. Leeners 67
The Network Route to Biological Complexity S. J. Banerjee R. K. Grewal S. Sinha S. Roy 89
A Systems Biology Approach to Bovine Fertility and Metabolism: Introduction of a Glucose Insulin Model J. Plöntzke M. Berg C. Stötzel S. Röblitz 104
Biographer: Visualization of Graph Theoretical Patterns, Measurements, and Analysis in Mathematical Biology R. Viswanathan S. Liang Y. Yang J. R. Jungck 118
Hydrodynamics and Elasticity of Cell Tissues and Bacterial Growth
Modelling the Early Growth of Stem Cell Tissues R. A. Barrio S. Orozeo-Fuentes R. Romero-Arias 141
Non-local Hydrodynamics of Swimming Bacteria and Self-Activated Process S. Roy R. Llinás 153
Dynamic and Geometric Modelling of Biomolecular Structures
Geometric Analysis of the Conformational Features of Protein Structures M. Datt 166
Computational Biology
Prediction of System States, Robustness and Stability of the Human Writ Signal Transduction Pathway using Boolean Logic L. Nayak R. K. De A. Datta 177
Entropy Measures and the Statistical Analysis of Protein Family Classification R. P. Mondaini S. C. de Albuquerque Neto 192
Clustering Neuraminidase Influenza Protein Sequences X. Li H. Jankowski S. Boonpatcharanon V. Tran X. Wang J. M. Heffernan 210
Optimal Control Techniques in Mathematical Modelling of Biological Phenomena
Optimal Control for Therapeutic Drug Treatment on a Delayed Model Incorporating Immune Response P. Dubey B. Dubey V. S. Dubey 221
Population Dynamics
Bifurcations and Oscillatory Dynamics in a Tumor Immune Interaction Model S. Khajanchi 241
On a Nonlinear System Modeling Darwinian Dynamics and the Immune Response to Cancer Evolution A. Bellouquid M. Ch-Chaoui E. de Angelis 260
Sexual Selection is not required: A Mathematical Model of Species- with Sexually differentiated Death Rates D. Wallace E. Dauson C. Pinion K. Hayashi 279
Models for Two Strains of the Caprine Arthritis Encephalitis Virus Disease S. Collino E. Venturino L. Ferreri L. Bertolotti S. Rosati M. Giacobini 297
Conservation of Forestry Biomass Introducing Variable Taxation for Harvesting: A Mathematical Model M. Chaudhary J. Dhar O. P. Misra 319
Stability Analysis of a Two Species Competition Model With Fuzzy Initial Conditions: Fuzzy Differential Equation Approach Environment S. Paul P. Bhattacharya K. S. Chaudhuri 334
Modelling Physiological Disorders
Magnetic Resonance Guided High Intensity Focused Ultrasound - Mathematical Modeling of an Innovative, State of the Art Technology for Cancer Therapy J. Murley J. Thangaraj J. Drake A. Waspe S. Sivaloganathan 345
The Effects of Fibroblasts on Wave Dynamics in a Mathematical Model for Human Ventricular Tissue A. R. Nayak R. Pandit 363
A Simple Logistic Sigmoidal Model Predicts Oxidative Stress Thresholds in Newly Diagnosed Diabetics on Glucose Control Therapy R. Kulkarni 379
Index 395
