AMATH 423/523: Mathematical Analysis in Biology and Medicine

SLN 10218/10232, T 10:00-11:20, Condon Hall 115 and Th 10:00-11:20, Parrington 206
(Prerequisites: AMATH 353)

Instructor:

Professor Hong Qian
Lewis Hall 319
tel: 543-2584
fax: 685-1440
hqian@u.washington.edu
office hours: W 9:00am-10:30am

Course Description

Focuses on developing and analyzing mechanistic, dynamic models of biological systems and processes, to better understand their behavior and function. Applications drawn from many branches of biology and medicine. Provides experiences in applying differential equations, difference equations, and dynamical systems theory to biological problems.

Course Textbooks and Supplemental Materials

J.D. Murray, "Mathematical Biology: I. An Introduction" (Spinger, 2007).

H.C. Berg, "Random Walks in Biology" (Princeton, 1993).

H. Qian, The Chemical Master Equation Approach to Biochemical Systems" (MDPI - Open Access, 2010)

D.K.C. MacDonold, "Noise and Fluctuations: An Introduction" (Dover, 2006).

M. Kot, "Elements of Mathematical Ecology" (Cambridge Univ. Press, 2001).

D. A. Beard and H. Qian, "Chemical Biophysics: Quantitative Analysis of Cellular Systems" (Cambridge Univ. Press, 2008).

Syllabus

AMATH 423/523 Syllabus

Course Notes and Important Dates

Notes from previous year

First day of class, January 5.

Notes on population dynamics, stochastic exponential law, and the fundamental theorem of natural selection

Reading material on single species nonlinear population dynamics

Reading material on models of interacting populations

Reading material on biochemical reaction kinetics

Reading material on biological nonlinear oscillations

Homeworks

Homework #1: Due January 21

Homework #2: Due January 28

Homework #3: Due February 4

Homework #4: Due February 11

Homework #5: Due February 18


<qian@amath.washington.edu> Mon Mar 28 08:16:34 PDT 2011