Mathematical Models in Biology: An Introduction

Mathematical Models in Biology: An Introduction

by ElizabethS.Allman (Author), JohnA.Rhodes (Author)

Synopsis

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.

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More Information

Format: Paperback
Pages: 386
Publisher: Cambridge University Press
Published: 13 Oct 2003

ISBN 10: 0521525861
ISBN 13: 9780521525862
Book Overview: Linear and non-linear models of populations, molecular evolution, phylogenetic tree construction, genetics, and infectious diseases are presented with minimal prerequisites.

Media Reviews
'... many institutions, like mine, are looking into ways of adding a mathematical modeling component into the undergraduate curriculum for general biology students. This book will be a great asset to these institutions ... a very interesting and challenging book for undergraduate students with a strong interest in biology ...'. Mei Zhu, Pacific Lutheran University
'I found this book interesting since many institutions, like mine, are looking into ways of adding a mathematical modeling component into the undergraduate curriculum for general biology students. This book will be a great asset to these institutions ... Overall, this is a very interesting and challenging book for undergraduate students with a strong interest in biology, but not necessarily with a calculus background. Students with a strong mathematical background will also benefit from this book ... This book is also a good reference book for biologists who are interested in learning mathematical modeling or integrating it into teaching their undergraduate biology courses.' Mei Zhu, Pacific Lutheran University
'... eminently suitable for their target undergraduate audiences and, indeed, for anyone curious to learn more about this increasingly important and undeniably exciting area of applied mathematics.' The Mathematical Gazette
'... an attractive introduction to the modeling of biological processes at a very elementary level.' Zentralblatt MATH
'This is an attractive introduction into the modelling of biological processes at a very elementary level. ... Many exercises motivate the reader to acquire a deeper understanding of the topics treated. Also a substantial number of MATLAB projects are suggested to give the students hands-on experience.' Monatshefte fur Mathematik
The exercises throughout this book are excellent. Mathematical Models in Biology: An Introduction presents nontrivial and current topics in mathematical biology for first-and second-year undergraduate majors in mathematics or biology. With its brisk writing style, clear handling of the mathematics and the biology, and thorough exercises, this text is positioned to meet the needs of mathematics students interested in biology as well as biology students who need to see the serious role of mathematics in their chosen area of study. James V. Rauff, Millikin University, Mathematics and Computer Education
Highly recommended. CHOICE
This remarkable book is one of the best introductory threatments that I have seen, and it is an ideal text for a beginning undergraduate course in mathematical biology. The Mathematical Association of America, Gerald B. Folland