AMATH 423/523: Mathematical Analysis in Biology and Medicine

SLN 10200/10214/10215, T, Th 10:00-11:20, Loew Hall 106
(Prerequisites: AMATH 353)

Instructor:

Professor Hong Qian
Lewis Hall 319
tel: 543-2584
fax: 685-1440
hqian@u.washington.edu
office hours: W 9:30am-11:00am

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. Qian, Stochastic Population Kinetics and Its Underlying Mathematicothermodynamics" (Springer, 2019).

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

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).

P. Erdi and G. Lente, "Stochastic Chemical Kinetics: Theory and (Mostly) Systems Biology Applications" (Springer, 2014).

Syllabus

AMATH 423/523 Syllabus

Course Notes

Notes from previous year

Classical Mechanics: Tables of contents

Reading material on single species nonlinear population dynamics

Reading material on models of interacting populations

Reading material on phase plane linear analysis

Reading material on biochemical reaction kinetics

Note on single-molecule Michaelis-Menten kinetics

Reading material on biological nonlinear oscillations

Reading material on general birth and death dynamics of a single population

Reading material on infectious diseases

Important Dates

First day of class, January 7.

Tuesday Feb. 18 and Thursday Frb. 20: Guest Lectures

Tuesday Feb 25 (and possibly Th. Feb 27) in class presentation on literature review and project plan.

Thursday, March 10 and March 12, final presentation.

Last day of class, Thursday, March 12.

Term paper due, Monday, March 16.

Homeworks

Homework #1: Due January 23

Homework #2: Due January 30

Homework #3: Due February 6

Homework #4: Due February 13


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