**Carver 132**

**Here is a partial list
of topics:
**

1. Difference equations in population dynamics

2. Biological applications of ordinary differential equations

such as population dynamics, chemical kinetics, excitable systems

neural impulses, oscillations in chemical systems etc.)

3. Spatially distributed systems and pde models. convection ,diffusion and attraction or repulsion, the spread of genes in a po;ulation, signal propagation in axons, morphogenesis and pattern formation in biology.

Keshet - Mathematical Models in Biology (Primary text)

Keener - Sneyd Mathematical Physiology

Murray - Mathematical Biology

Taubes - Modelling Differential Equations in Biology

set, you must tell me who was involved in the work.

Homework problems assigned thus far:

HW set #1. P8, problems 1,3 Due August 28,

HW set #2 p 48, problems 2, 5,6,7 Due September 6

HW set #3 p 51, problems 11, 13, 15b,18 Due September 15

HW set#4 p 91. problems 4,6,10,12,13,16,17 Due October 4,

HW set # 5. p116 problems 1, 5. Due October 30.

HW set # 6. p151 problems 5, 8 Due November 17.

**Class project** 35%. The class project
will be to give a 30 minute presentation to the class on the contents of

a paper of the student's choosing that must come from one of a given set of
mathematical biology journals

and must include a significant quantity of material from both mathematics
and from biology.

The student should be able to convince the audience that
he or she really understands both sides (mathematics and biology) of

the paper.

The articles may come from any of the following journals. (I may add to this
list from time to time) (If you find a paper in another

journal, not listed here, I must preapprove the journal.)

1. Journal of Mathematical Biology

2. Bulletin of Mathematical Biology

3. Journal of Theoretical Biology

4. Mathematical Biosciences

5. Theoretical Population biology

6. IMA Journal of Mathematics Applied in Medicine and Biology

T**he
student must bring me not more than three articles for pre approval before
beginning the project. I must**

**see these papers no later than November 10, 2006.**

**Student Presentations for Math 690P, An Introduction to Mathematical
Biology. (In order of presentation)
**

** 1. Reaction-Diffusion Equations and Inverse functions
Jaemin Shin Presentation**

** 2. Modeling Brain Energy Metabolism
and Function
Wen Zou Presentation**

** 3. An Investigation of Population Interaction
Dynamics
Lindsay Kasuga Presentation**

**
5. Competitive Exclusion in
a Vector-Host Model for the Dengue Fever
Cory Howk Presentation**