Mathematical Biophysics [Paperback]

This book presents concise descriptions and analysis of the classical and modern models used in mathematical biophysics. The authors ask the question what new information can be provided by the models that cannot be obtained directly from experimental data? Actively developing fields such as regulatory mechanisms in cells and subcellular systems and electron transport and energy transport in membranes are addressed together with more classical topics such as metabolic processes, nerve conduction and heart activity, chemical kinetics, population dynamics, and photosynthesis. The main approach is to describe biological processes using different mathematical approaches necessary to reveal characteristic features and properties of simulated systems. With the emergence of powerful mathematics software packages such as MAPLE, Mathematica, Mathcad, and MatLab, these methodologies are now accessible to a wide audience.

Written by faculty members at Moscow State University, this updated second edition has succinct and authoritative coverage of an array of biophysical topics and models. It deploys mathematical approaches relevant to a wide range of simulated systems.

Preface

Part I Basic models in mathematical biophysics

Chapter 1 Growth and catalysis models
Unlimited growth. Exponential growth. Self-catalysis (Auto-catalysis)
Limited growth. The Verhulst equation
Constraints with respect to substrate. Models of Monod and MichaelisMenten
Competition. Selection
Jacob and Monod trigger system
Classic Lotka and Volterra models
Models of species interactions
Models of the enzyme catalysis
Model of a continuous microorganism culture
Age structured populations
Leslie matrices
Continuous models of age structure

Chapter 2 Oscillations, rhythms and chaos in biological systems&llóÝ