Mathematical Models in Biology: An Introduction
Cambridge University Press, 10/13/2003
EAN 9780521525862, ISBN10: 0521525861
Paperback, 384 pages, 22.6 x 15 x 2.4 cm
Language: English
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.
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.
'... 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