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Mathematical Models in BiologyMathematical Models in Biology

Leah Edelstein-Keshet



SIAM Classics in Applied Mathematics 46

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, it 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.

Shortly after the publication of Mathematical Models in Biology, the genomics revolution turned Mathematical Biology into a prominent area of interdisciplinary research. With this new millennium, biologists have discovered that mathematics is not only useful, but indispensable! As a result, there has been much resurgent interest in, and a huge expansion of, the fields collectively called mathematical biology. This book serves as a basic introduction to concepts in deterministic biological modeling.

Audience

Mathematical Models in Biology does not assume too much background knowledge—essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as a number of researchers in math (and some in biology) who wanted to learn about this field.

Contents

Acknowledgments; Part 1: Discrete Process in Biology; Chapter 1: The Theory of Linear Difference Equations Applied to Population Growth; Chapter 2: Nonlinear Difference Equations; Chapter 3: Applications of Nonlinear Difference Equations to Population Biology; Part 2: Continuous Processes and Ordinary Differential Equations; Chapter 4: An Introduction to Continuous Models; Chapter 5: Phase-Plane Methods and Qualitative Solutions; Chapter 6: Applications of Continuous Models to Population Dynamics; Chapter 7: Models for Molecular Events; Chapter 8: Limit Cycles, Oscillations, and Excitable Systems; Part 3: Spatially Distributed Systems and Partial Differential Equation Models; Chapter 9: An Introduction to Partial Differential Equations and Diffusion in Biological Settings; Chapter 10: Partial Differential Equation Models in Biology; Chapter 11: Models for Development and Pattern Formation in Biological Systems; Selected Answers; Author Index; Subject Index

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2005 | xlii + 586 pages | Softcover | ISBN-13: 978-0-898715-54-5 / ISBN-10: 0-89871-554-7 /
List Price $62.50 | SIAM Member Price $43.75 | Order Code CL46
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