Mathematical Models in Biology
Mathematical Models in Biology
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.
- Exercises and projects are creative, often open-ended and motivated by current research whenever possible
- Coverage of molecular evolution models and phylogenic tree construction is unique in books at this basic mathematical level
- Incorporation of MATLAB exercises and projects throughout, with MATLAB programs provided
Reviews & endorsements
"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
Product details
October 2003Hardback
9780521819800
388 pages
236 × 158 × 30 mm
0.65kg
65 b/w illus. 40 tables 375 exercises
Available
Table of Contents
- 1. Dynamic modeling with different equations
- 2. Linear models of structured populations
- 3. Non-linear models of interactions
- 4. Modeling molecular evolution
- 5. Constructing phylogenic 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.
