 
Summary: Math 605, Fall 2011.
Final Project description and instructions.
Project description: You are to find a model from the biological (loosely defined) liter
ature that is of interest to you. Journals you may consider perusing are Science, PNAS,
PloS Biology, and Journal of Computational Physics. You could also find different interest
ing models in text books, such as Linda Allens' Stochastic Processes: with Applicaitons to
Biology. Of course, probably the best method of search in the modern age is to
a. First come up with a loose subject area of interest (suggested topics are below).
b. Google it and find a bunch of material and find a favorite primary source and really begin
there.
c. Eventually track down any other references (if necessary).
d. Talk to me throughout this process!
Suggested topics include:
1. Genetic models.
(a) More complicated and realistic models for phylogenetic distance. (A good starting
reference would be Elizabeth S. Allman and John A. Rhodes, Mathematical Models
in Biology: An Introduction, Cambridge University Press, 2004.) You would need
to investigate other models for base substitution in DNA (i.e. mutations).
(b) A thorough investigation of the WrightFischer model, including natural general
izations.
