21-366B: Modeling and
Simulation of Biological Systems, Spring 2003
Professor Shlomo Ta'asan
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh PA 15213-3890
Offices: Wean Hall 6219
Phone: 412-268-5582
Email: shlomo@andrew.cmu.edu
Tue/Thur 10:30-11:50, Doherty Hall 1117
Office hours: By appointment
- Textbook: None. Lectures will be posed on the
web page, with additional reading material. I will use from time to
time some material from the following books. You do not need to
check out these books, I will provide all necessary material.
Random Walks in Biology, Howard
C. Berg
Modeling Differential Equations in
Biology, CliffordH. Taubes
Modeling Dynamic Phenomena in
Molecular and Cellular Biology, L. Segel
Computational Cell Biology, Keizer.
Mathematical Models in Biology, Leah
Edelstein-Keshet
Mathematical Biology, J.D. Murray
- Description The course will provide students with mathematical and computational tools in
dealing with a variety of issues in understanding biological systems and
their dynamics. Tools to be covered include probability
and statistics, modeling using differential equations and stochastic processes
and their relations, nonlinear models with bifurcation and chaos, dynamics of
networks. Application of these tools to biological systems will include
intracellular and extracellular communication, cell cycle controls,
metabolism, DNA repair/damage, transporters/pumps, whole cell models.
The course will use MATLAB for demonstration, but students can use the
programming language of their choice. Prerequisites are calculus and matrix
algebra.
- Prerequisites: It is highly recommended that students
have taken a prior calculus course covering basic manipulation, calculation
and applications of derivatives and integrals, as well as a matrix
algebra course.
- Homework and Grading:
Homework exercises will be posted on the web page. All homework
problems MUST be turned in by due date. A few (2-4) projects will
be given during the
semester. Grading will be based on homework (50%) and projects (50%).
The letter grades are computed as follows, A: 85 -
100 B: 75 - 85 C: 60 - 75 D: 50 - 60.