edited by Rubem P Mondaini (Universidade Federal do Rio de Janeiro, Brazil) & Rui Dilão (Instituto Superior Técnico, Portugal)

Table of Contents (129k)
Preface (33k)
Chapter 1: Protein Folding As a Physical Stochastic Process (589k)

The present volume contains the contributions of the keynote speakers of the BIOMAT 2007 Symposium as well as selected contributed papers in the areas of mathematical biology, biological physics, biophysics and bioinformatics. It contains new results on some aspects of Lotka–Volterra equations, the proposal of using differential geometry to model neurosurgical tools, recent data on epidemiological modeling, pattern recognition and comprehensive reviews on the structure of proteins, the folding problem and the influence of Allee effects on population dynamics.

This book contains some original results on the growth of gliomas: the role played by membrane channels on activity-dependent modulation of spike transmission; a proposal for reconsidering the concept of gene and the understanding of the mechanisms responsible for gene expression; a differential geometric approach to the influence of the drying effect on the dynamics of pods of Leguminosae; the comparison of agent-based models with the approach of differential equations on the study of selection mechanisms in germinal centers; and the synchronization phenomenon for protocell systems driven by linear kinetic equations.

• Protein Structure and Function:
  • Systems Protein Folding as a Physical Stochastic Process (K Huang)
  • The Differential Geometry of Proteins and Its Applications to Structure Determination (A Goriely et al.)
• Modeling Physiological Disorders:
  • Mathematical and Computational Modeling of Physiological Disorders: A Case Study of the IUPS Human Physiome Project and Aneurysmal Models (A R Oshmyansky & P K Maini)
  • Advanced-Delay Differential Equation for Aeroelastic Oscillations in Physiology (J C Lucero)
• Population Dynamics:
  • Models of Allee Effects and Their Implications for Population and Community Dynamics (L Berec)
  • The Decoupling and Solution of Logistic and Classical Two-Species Lotka-Volterra Dynamics with Variable Production Rates (C E M Pearce & R B Leipnik)
• Epidemiological Modeling:
  • Epidemic Predictions and Predictability in Complex Environments (V Colizza et al.)
  • Assessing the Spatial Propagation of West Nile Virus (N A Maidana & H M Yang)
• Biological and Chemical Pattern Recognition:
  • On Turing–Hopf Instabilities in Reaction-Diffusion Systems (M Rodriguez Ricard)
  • Grasshopper Density Population Classification with Neural Networks (I Chairez Hernández et al.)
• Modeling of Biosystems:
  • Geodesic Curves for Biomolecular Structure Modeling (R P Mondaini & R A C Prata)
  • Synchronization Phenomena in Protocell Models (A Filisetti et al.)
  • and other papers