Mathematical Models in Biology – Elizabeth Allman – 1st Edition

Description

This introductory focuses on discrete models across a variety of biological subdisciplines, including linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree from DNA sequence data, , and infectious disease models. The book is suitable for at a calculus level, but assumes no calculus. Self-contained development of mathematical topics, such as algebra and basic probability, is motivated by the biological models. investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the developed.

Focusing on discrete models across a variety of biological subdisciplines, this introductory textbook includes linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction from DNA sequence data, genetics, and infectious disease models. Assuming no of calculus, the development of mathematical topics, such as matrix algebra and basic probability, is motivated by the biological models. Computer research with MATLAB is incorporated throughout in exercises and more extensive projects to provide readers with actual experience with the mathematical models.

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.
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