Book Description
From controlling disease outbreaks to predicting heart attacks, dynamic models are increasingly crucial for understanding biological processes. Many universities are starting undergraduate programs in computational biology to introduce students to this rapidly growing field. In Dynamic Models in Biology, the first text on dynamic models specifically written for undergraduate students in the biological sciences, ecologist Stephen Ellner and mathematician John Guckenheimer teach students how to understand, build, and use dynamic models in biology.
Developed from a course taught by Ellner and Guckenheimer at Cornell University, the book is organized around biological applications, with mathematics and computing developed through case studies at the molecular, cellular, and population levels. The authors cover both simple analytic modelsthe sort usually found in mathematical biology textsand the complex computational models now used by both biologists and mathematicians.
Linked to a Web site with computerlab materials and exercises, Dynamic Models in Biology is a major new introduction to dynamic models for students in the biological sciences, mathematics, and engineering.
Table of Contents
 Cover
 Half title
 Title
 Copyright
 Contents
 List of Figures
 List of Tables
 Preface
 1 What Are Dynamic Models?

2 Matrix Models and Structured Population Dynamics
 2.1 The Population Balance Law
 2.2 AgeStructured Models
 2.3 Matrix Models Based on Stage Classes
 2.4 Matrices and Matrix Operations
 2.5 Eigenvalues and a Second Solution of the Model
 2.6 Some Applications of Matrix Models
 2.7 Generalizing the Matrix Model
 2.8 Summary and Conclusions
 2.9 Appendix
 2.10 References
 3 Membrane Channels and Action Potentials
 4 Cellular Dynamics: Pathways of Gene Expression
 5 Dynamical Systems
 6 Differential Equation Models for Infectious Disease
 7 Spatial Patterns in Biology
 8 AgentBased and Other Computational Models for Complex Systems
 9 Building Dynamic Models
 Index
Product Information
 Title: Dynamic Models in Biology
 Author(s):
 Release date: September 2011
 Publisher(s): Princeton University Press
 ISBN: 9781400840960