BMEN 3820/6820 Mathematical Modeling and Analysis of Biological Systems (3 credits)
Contact hours: Lecture: 2 per week @ 75 minutes, offered every winter semester
Instructor: Yu-Ping Wang, PhD
Textbooks: Nicholas F. Britton, Essential Mathematical Biology, Springer, 2003. In addition, extensive class notes will be used.
Catalog Description: The objective of this course is to teach basic mathematical modeling constructs and analysis techniques that are used for studying biological processes. Topics to be covered include ordinary differential equations, compartment systems, basics of dynamic systems, stability, statistical inference and model construction. These will be applied to study models of chemical kinetics, physiological control, AIDS transmission, population dynamics, and growth. Students will use Mathematica to develop and analyze models. (Same as BMEN 6820).
Prerequisites: MATH 2240, CELL 1010
Designation: This course is for graduate students and advanced undergraduates.
1. Students will learn to solve linear and nonlinear differential/difference equations using both analytical and numerical simulation (with MATLAB).
2. Students will develop an understanding of the relationship between genuine physical or biological dynamic systems and mathematical models of such systems. In this process, the students will appreciate the strengths and limitations associated with modeling complex systems.
3. Students will form a collaborative learning environment for developing and evaluating mathematical models of biological systems.