Math 3900

Math 3900, Spring 2009

Lecturer: Alla Borisyuk
Office: LCB 303, Phone: (801) 585-1639
E-Mail: borisyuk at math.utah.edu
Office Hours: T 1:45-3

TA: Giao Huynh (huynh at math.utah.edu)
Office: LCB318
Office hours: Wed at 4:30 in LCB 115

The goals of the class are (i) to introduce the students to a range of modern mathematical tools (from dynamical systems, stochastic processes and partial differential equations); (ii) to teach the students the skill of building tractable mathematical models of biological processes; (iii) to show how to combine the mathematical knowledge, the numerical simulations (in Matlab) and biological intuition to derive new insights into the functioning of living systems.

Mathematical topics will include introduction to linear algebra, complex numbers, geometric dynamical systems, bifurcation theory, probability, Markov chain, partial differential equations

Biological topics will include modeling heart and circulation, kidneys, circadian clocks, brain rhythms, HIV, antibiotic resistance in bacteria, regulation of gene expression, biological pattern formation

Class time: TTh 12:25-1:45, Required computer lab: Friday 11:50 or 12:55 in LCB 115
Prerequisites: 2250
4 credit hours (3 lecture hours + a computer lab a week)

Text: Hoppensteadt, Peskin. Modeling and simulation in medicine and the life sciences, Springer, 2nd edition
+ Lecture notes based on supplementary material will be provided as necessary

The Final Exam
Exit survey

Preliminary syllabus (pdf)
Homeworks/Labs
Lecture Material

With any questions, please, contact me by email: borisyuk at math.utah.edu