AMATH 423/523: Mathematical Analysis in Biology and Medicine
SLN 10218/10232, T 10:0011:20, Condon Hall 115
and Th 10:0011:20, Parrington 206
(Prerequisites: AMATH 353)
Instructor:

Professor Hong Qian
Lewis Hall 319
tel: 5432584
fax: 6851440
hqian@u.washington.edu
office hours: W 9:00am10:30am

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