Dynamic Models in Biology, Volume 13

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Princeton University Press, Apr 16, 2006 - Computers - 329 pages
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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 models--the sort usually found in mathematical biology texts--and the complex computational models now used by both biologists and mathematicians.

Linked to a Web site with computer-lab materials and exercises, Dynamic Models in Biology is a major new introduction to dynamic models for students in the biological sciences, mathematics, and engineering.

 

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Contents

1 What Are Dynamic Models?
1
2 Matrix Models and Structured Population Dynamics
31
3 Membrane Channels and Action Potentials
71
Pathways of Gene Expression
107
5 Dynamical Systems
135
6 Differential Equation Models for Infectious Disease
183
7 Spatial Patterns in Biology
217
8 AgentBased and Other Computational Models for Complex Systems
243
9 Building Dynamic Models
283
Index
323
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About the author (2006)

Stephen P. Ellner is Professor of Ecology and Evolutionary Biology at Cornell University. He has published numerous papers on subjects from measles epidemics to bumblebee behavior, in publications including "Science" and "Nature". John Guckenheimer is Professor of Mathematics at Cornell University. He is the coauthor of "Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields".

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