**IAS/Park City Mathematics Series**

Volume: 14;
2009;
398 pp;
Hardcover

MSC: Primary 34; 35; 37; 92;
**Print ISBN: 978-0-8218-4765-7
Product Code: PCMS/14**

List Price: $83.00

Individual Member Price: $66.40

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# Mathematical Biology

Share this page *Edited by *
*Mark A. Lewis; Mark A. J. Chaplain; James P. Keener; Philip K. Maini*

A co-publication of the AMS and IAS/Park City Mathematics Institute

Each summer the IAS/Park City Mathematics Institute Graduate Summer
School gathers some of the best researchers and educators in a
particular field to present lectures on a major area of mathematics. A
unifying theme of the mathematical biology courses presented here is
that the study of biology involves dynamical systems. Introductory
chapters by Jim Keener and Mark Lewis describe the biological dynamics
of reactions and of spatial processes.

Each remaining chapter stands alone, as a snapshot of in-depth research
within a sub-area of mathematical biology. Jim Cushing writes about the
role of nonlinear dynamical systems in understanding complex dynamics of
insect populations. Epidemiology, and the interplay of data and
differential equations, is the subject of David Earn's chapter on
dynamic diseases. Topological methods for understanding dynamical
systems are the focus of the chapter by Leon Glass on perturbed
biological oscillators. Helen Byrne introduces the reader to cancer
modeling and shows how mathematics can describe and predict complex
movement patterns of tumors and cells. In the final chapter, Paul
Bressloff couples nonlinear dynamics to nonlocal oscillations, to
provide insight to the form and function of the brain.

The book provides a state-of-the-art picture of some current research in
mathematical biology. Our hope is that the excitement and richness of
the topics covered here will encourage readers to explore further in
mathematical biology, pursuing these topics and others on their
own.

The level is appropriate for graduate students and research scientists.
Each chapter is based on a series of lectures given by a leading
researcher and develops methods and theory of mathematical biology from
first principles. Exercises are included for those who wish to delve
further into the material.

Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

#### Table of Contents

# Table of Contents

## Mathematical Biology

#### Readership

Graduate students and research mathematicians interested in mathematical biology.