Mathematical Biology and Biological Physics

Content: Preface
 Editorial Board of the BIOMAT Consortium
 Professor C.A. Floudas --
In Memoriam
 Comprehensive Introduction to Agglomeration and Growth and Models
 1. Introduction
 2. Stochastic matrices
 2.1. Definitions and properties
 2.2. Linear growth
 2.3. The Fibonacci sequence
 2.4. Stochastic matrix description
 2.5. Agglomeration of chains
 3. Agglomeration in two dimensions
 3.1. Planar tilings
 3.2. Curved structures
 4. Lotka-Volterra equations
 4.1. Classical predator-prey model
 4.2. The origin of chirality in living organisms
 4.3. Model with finite substrate
 References The Pattern Recognition of Probability Distributions of Amino Acids in Protein Families
 1. Introduction
 2. The Organization of the Sample Space of Probability
 3. The Master Equation for Probability Evolution
 4. The Distribution of Amino Acids as a Marginal Probability Distribution
 5. The Domain of the Variables (a), (a). The Pattern Recognition Based on Level Curves
 6. Final Numerical Calculations and Graphical Representation
 7. Concluding Remarks
 References
 Modelling the Electrical Activity of the Heart
 1. Introduction
 2. Dynamical Model
 2.1. Numerical results 3. Modelling ECG Signals
 4. Conclusions
 References
 How the Interval Between Primary and Booster Vaccination Affects Long-Term Disease Dynamics
 1. Introduction
 2. Methodology
 2.1. Agents-environment framework
 2.2. Disease model
 2.3. Vaccination model
 2.4. Computational implementation
 2.5. Parmeterization and timing of booster vaccination
 3. Results
 4. Concluding Remarks
 References
 Stability and Hopf Bifurcation in a Multi-delayed Eco-epidemiological Model
 1. Introduction
 2. Preliminary results
 2.1. Positivity and boundedness of the solutions 3. Equilibria and permanence of the system
 3.1. Permanence of the system
 4. Stability of the coexistence equilibrium
 5. Direction and stability of Hopf bifurcation
 6. Numerical simulation
 7. Discussion
 References
 Propagation of Extrinsic Perturbation in Multistep Biochemical Pathways
 1. Introduction
 2. Models and Methods
 3. Results and Discussion
 3.1. Stability analysis of the pathway with bias
 3.2. Dynamics of the pathway with bias
 3.3. Effect of random perturbation
 4. Conclusions
 References
 Catastrophic Transitions in Coral Reef Biome under Invasion and Overfishing 1. Introduction
 2. The Basic Model
 3. Boundedness and Permanence of the System
 4. Equilibria and Their Stability
 5. Hopf Bifurcation
 6. Numerical Simulations
 7. Discussion
 Appendix
 References
 Dynamics of Hepatitis C Viral Load with Optimal Control Treatment Strategy
 1. Introduction
 2. Model 1 and Its Control
 3. Model 2 and the Control Problem
 4. Numerical Results
 5. Conclusion
 References
 Somitogenesis and Turing Pattern
 1. Introduction
 2. The Model
 3. Results
 4. Conclusion
 References