A Course in Mathematical Biology Quantitative Modeling with Mathematical and Computational Methods

About this book

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.

Contents

Preface
Part I. Theoretical Modeling Tools:

1. Introduction
2. Discrete-time models
3. Ordinary differential equations
4. Partial differential equations
5. Stochastic models
6. Cellular automata and related models
7. Estimating parameters

Part II. Self-guided Computer Tutorial:
8. Maple course

Part III. Projects:
9. Project descriptions
10. Solved projects

Appendix
Bibliography
Author index
Index

Customer Reviews