Mathematical models in biology : an introduction / Elizabeth S. Allman, John A. Rhodes.

Format:

Book

Author/Creator:

Allman, Elizabeth Spencer, 1965- author.

Rhodes, John A. (John Anthony), 1960- author.

Language:

English

Subjects (All):

Biology--Mathematical models.

Biology.

Physical Description:

1 online resource (xiii, 370 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2004.

Language Note:

English

Summary:

This introductory textbook on mathematical biology focuses on discrete models across a variety of biological subdisciplines. Biological topics treated include linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction, genetics, and infectious disease models. The coverage of models of molecular evolution and phylogenetic tree construction from DNA sequence data is unique among books at this level. Computer investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the mathematical models developed. MATLAB programs accompany the text. Mathematical tools, such as matrix algebra, eigenvector analysis, and basic probability, are motivated by biological models and given self-contained developments, so that mathematical prerequisites are minimal.

Contents:

Cover; Half-title; Dedication; Title; Copyright; Contents; Preface; Note on MATLAB; 1 Dynamic Modeling with Difference Equations; 2 Linear Models of Structured Populations; 3 Nonlinear Models of Interactions; 4 Modeling Molecular Evolution; 5 Constructing Phylogenetic Trees; 6 Genetics; 7 Infectious Disease Modeling; 8 Curve Fitting and Biological Modeling; Appendix A Basic Analysis of Numerical Data; Appendix B For Further Reading; References; Index

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-107-13596-6

1-139-63700-2

0-511-07846-3

1-282-38721-9

0-511-64339-X

9786612387210

0-511-79091-0

0-511-20471-X

0-511-56195-4

0-511-07689-4

OCLC:

667018501