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| Physics Colloquium,
January 20, 2009
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What is mathematical biology and how useful is it?
Avner Friedman
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The Ohio State University, Department of Mathematics
I shall define what is meant by "mathematical biology," and then proceed to illustrate the degree of its usefulness by examples taken from wound healing, neointimal hyperplasia occurring in dialysis, tuberculosis as a disease with prognosis which depends on the age of the patient, and viral treatment of glioblastoma. All these examples are modeled by systems of differential equations, and the challenges are:
1)Researching the biological literature in order to set up a mathematical model;
2)Determining the rate parameters;
3)Simulating the model.
The final test is to show good fit with experimental results, after which the model can be used to suggest new hypothesis.
Dr. Friedman's Web Site
4:00 p.m., Physics Research Building (PRB), Room 1080
Reception at 3:45 p.m., Atrium, PRB
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