Gerda de Vries, Thomas Hillen, Mark Lewis, Johannes Müller, and Birgitt Schönfisch
Mathematical Modeling and Computation 12
“There really is not a book that is directly comparable. Students will be able to study any area of biology with a mathematical perspective. The projects and the introduction to computation are a real bonus.” — Fred Brauer, Department of Mathematics, University of British Columbia
The field of mathematical biology is growing rapidly. Questions about infectious diseases, heart attacks, cell signaling, cell movement, ecology, environmental changes, and genomics are now being analyzed using mathematical and computational methods. A Course in Mathematical Biology: Quantitative Modeling with Mathematical and Computational Methods 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.
With a focus on integrating analytical and computational tools in the modeling of biological processes, the authors provide an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods. Divided into three parts, the book covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and provides a source of open-ended problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, and there are many exercises related to biological questions. In addition, the book includes 25 open-ended research projects that can be used by students. The book is accompanied by a Web site that contains solutions to most of the exercises 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®.
Intended for upper level undergraduate students in mathematics or similar quantitative sciences, Course in Mathematical Biology: Quantitative Modeling with Mathematical and Computational Methods is also appropriate for beginning graduate students in biology, medicine, ecology, and other sciences. It will also be of interest to researchers interested in entering the field of mathematical biology.
Part I: Theoretical Modeling Tools
Chapter 1: Introduction
Chapter 2: Discrete-Time Models
Chapter 3: Ordinary Differential Equations
Chapter 4: Partial Differential Equations
Chapter 5: Stochastic Models
Chapter 6: Cellular Automata and Related Models
Chapter 7: Estimating Parameters
Part II: Self-Guided Computer Tutorial
Chapter 8: Maple Course
Part III: Projects
Chapter 9: Project Descriptions
Chapter 10: Solved Projects
Appendix: Further Reading
About the Authors
Gerda de Vries is Associate Professor in the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada.
Thomas Hillen is a 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 Müller is Professor of Mathematical Methods in Molecular Biology and Biochemistry in the Center for Mathematical Sciences at the Technical University, Munich.
Birgitt Schönfisch is a Scientific Employee in the Department of Medical Biometry at the University of Tübingen, Germany.
A portion of the royalties from the sale of this book are contributed to the SIAM Student Travel Fund.
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2006 / xii + 309 pages / Softcover
ISBN 10: 0-89871-612-8 / ISBN 13: 978-0-898716-12-2
List Price $74.50 / SIAM Member Price $52.15 / Order Code MM12