01:640:336 - Dynamical Models in Biology

General Information

Math 336 was introduced as a separate course in the Fall 2001 semester. Previously, this content was available as one option in Math 338. The catalog description of the course is as follows.

Models for biological processes based on ordinary and partial differential equations. Topics selected from models of population growth, predator-prey dynamics, biological oscillators, reaction-diffusion systems, pattern formation, neuronal and blood flow physiology, neural networks, biomechanics. 
Prerequisites: CALC4 and 01:640:250.

The most recent semester covered the following topics: review of modeling with ordinary differential equations, steady-states, nullclines, linearization, linear ODE's, and stability, with illustrations from chemostats, drug infusion, epidemics, and chemical kinetics; singular perturbations and Michelis-Menten enzyme dynamics; bifurcations and switching behavior; activator-inhibitor systems; limit cycles and Poincare-Bendixon theory; relaxation oscillations; transport equation and travelling waves; chemotaxis: gradients; attraction and repulsion; diffussions and their relation to random walks.

The Course Announcement gives information on prerequisites, credit restrictions, and relation to the Biomathematics major.

Previous semesters:

Taught in the Fall Term. 

Schedule of Sections

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