Mathematical models in biology / Leah Edelstein-Keshet.

Format:

Book

Author/Creator:

Edelstein-Keshet, Leah.

Contributor:

Books24x7, Inc.

Series:

Classics in applied mathematics ; 46.

Classics in applied mathematics ; 46

Language:

English

Subjects (All):

Biology--Mathematical models.

Biology.

Physical Description:

1 electronic text (xliii, 586 p.) : ill., digital file.

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2005.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

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 this book are still important and informative. Audience: the book 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 researchers in math (and some in biology) who wanted to learn about this field.

Contents:

The theory of linear difference equations applied to population growth

Nonlinear difference equations

Applications of nonlinear difference equations to population biology

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

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.

Notes:

Digitized and made available by: Books24x7.com.

Originally published: 1st ed. New York : Random House, 1988, in series: The Random House/Birkhäuser mathematics series. With new pref. and slight corrections.

Includes bibliographical references and indexes.

Description based on title page of print version.

ISBN:

0-89871-914-3

Publisher Number:

CL46 siam

CL46 SIAM