Edelstein-Keshet L. Mathematical Models in Biology

Society for Industrial and Applied Mathematics, 2005. — 586 p.Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community since its first publication in 1988, the book shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in Mathematical Models in Biology are still important and informative.Discrete Process in Biology
The Theory of Linear Difference Equations Applied to Population Growth
Nonlinear Difference Equations
Applications of Nonlinear Difference Equations to Population Biology
Continuous Processes and Ordinary Differential Equations
An Introduction to Continuous Models
Phase-Plane Methods and Qualitative Solutions
Applications of Continuous Models to Population Dynamics
Models for Molecular Events
Limit Cycles, Oscillations, and Excitable Systems
Spatially Distributed Systems and Partial Differential Equation Models
An Introduction to Partial Differential Equations and Diffusion in Biological Settings
Partial Differential Equation Models in Biology
Models for Development and Pattern Formation in Biological Systems
Selected Answers
Author Index
Subject Index