Introduction to Mathematical Biology

By: Avner Friedman and Ching Shan Chou

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Synopsis: This book isbased on a one semester course that the authors have been teaching for severalyears, and includes two sets of case studies. The first includeschemostat models, predator-prey interaction, competition among species, thespread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basictheory of ordinary differential equations, and how to work with MATLAB withouthaving any prior programming experience. The second set of case studies were adapted fromrecent and current research papers to the level of the students. Topicshave been selected based on public health interest. This includes therisk of atherosclerosis associated with high cholesterol levels, cancer andimmune interactions, cancer therapy, and tuberculosis. Readers willexperience how mathematical models and their numerical simulations can provideexplanations that guide biological and biomedical research. Considered to be the undergraduate companion tothe more advanced book "Mathematical Modeling of BiologicalProcesses" (A. Friedman, C. -Y. Kao, Springer - 2014), this book isgeared towards undergraduate students with little background in mathematics andno biological background.