Mathematical Biology
MATH 412
Fall 2013



Instructor: Horng, Tzyy-Leng
Class Location: Science Hall 411
Class Time: Wed. 1-4 PM
Office Hours: Fri. 10-12 AM


Grade Distribution

40% homeworks
30% midterm
30% final

Text Book

A Primer on Mathematical Models in Biology, Lee A. Segel and Leah Edelstein-Keshet ,  SIAM, 2013.


Syllabus

1.Introduction
2.Introduction to biochemical kinetics
3.Review of linear differential equations
4.Introduction to nondimensionalization and scaling
5.Qualitative behavior of simple differential equation models
6.Developing a model from the ground up: Case study of the spread of an infection
7.Phase plane analysis
8.Quasi steady state and enzyme-mediated biochemical kinetics
9.Multiple subunit enzymes and proteins: Cooperativity

10.Dynamic behavior of neuronal membranes

11.Excitable systems and the FitzHugh–Nagumo equations

12.Biochemical modules

13.Discrete networks of genes and cells

14.For further study

15.Extended exercises and projects