Prerequisites: MA212. This course requires no previous knowledge of biology.
We'll extend and adapt techniques from differential equations to study models of
biological systems. Along the way, new mathematical topics will be introduced. Possible
topics include probability, partial differential equations, discrete dynamical systems,
delay equations, and stochastic numerical methods. The goal of this course is to develop a
set of computational and analytical tools for the study of biological systems.
Many biological topics will be introduced. On one extreme, we will model rapid cell
processes on the microscopic genetic and molecular scale. On the other, we'll use models
to understand how diseases slowly spread between populations around the world. Between
these two extremes, we'll examine models of neuronal activity, relationships between
organisms in a community, the mechanics of the human circulatory and immune systems,
intercellular communication, the formation of zebra stripes, and other phenomena. The
topics are flexible and can be adapted to student interest.
Materials from a previous similar course are available on this archived website.


Prerequisites: MA212 and Mathematical Biology 1
We'll read mathematical biology journal articles to see how the techniques
studied in Mathematical Biology 1 are applied to modern research. We'll discuss articles
indepth, learn how the models were analyzed, find ways to build off of and improve the
models, and develop new projects to realize these improvements.
The goals of this course
are to give students broad exposure to the mathematical biology literature and enable
them to refine, extend, and analyze complex models of biological phenomena. Biological
topics are chosen based on student interest. Past topics include neuron spiking activity
in embryos, parasite and host dynamics, luminescence control in bacteria, bone remodeling
in low gravity, the epidemiology of HPV and Anthrax, and cellular molecular biology.
Materials from a previous similar course are available on this archived website.

