A Course in Mathematical Biology

by Vries, Gerda De; Hillen, Thomas; Lewis, Mark; Muller, Johannes; Schonfisch, Birgitt

• ISBN13: 9780898716122
• ISBN10: 0898716128
• Format: Paperback
• Copyright: 2006-07-30
• Publisher: Society for Industrial & Applied

Summary

This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB®.

Author Biography

Gerda de Vries is Associate Professor in the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada.Thomas Hillen is Professor in the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada.Mark Lewis is Professor and Senior Canada Research Chair in Mathematical Biology in the Department of Mathematical and Statistical Sciences and the Department of Biological Sciences at the University of Alberta, Canada.Johannes Mnller is Professor of Mathematical Methods in Molecular Biology and Biochemistry in the Center for Mathematical Sciences at the Technical University Munich, Germany.Birgitt Sch÷nfisch is a Scientific Employee in the Department of Medical Biometry at the University of Tnbingen, Germany.

Table of Contents

Preface

Theoretical Modeling Tools

Introduction

Discrete-time models

Ordinary differential equations

Partial differential equations

Stochastic models

Cellular automata and related models

Estimating parameters

Self-guided Computer Tutorial

Maple course

Projects

Project descriptions

Solved projects

Appendix

Bibliography

Author index

Index

Table of Contents provided by Publisher. All Rights Reserved.