in Environmental Exposures and Health
EH820 Mathematical Modeling for Public Health and Medicine (Fall; with Ozonoff)
Mathematical modeling of biological processes and population dynamics is an important tool in pure and applied research. This course teaches the basic concepts of deterministic modeling, with emphasis on problems of public health and medical importance such as models of physiologic processes (e.g., Michaelis-Menten kinetics), population models, and models of disease spread and contagion. Mathematical prerequisites are kept to a minimum, with the necessary linear algebra (matrices, eigenvectors, eigenvalues), qualitative methods of ordinary differential equations (stability, phase-plane methods), and difference equations being introduced as needed.
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