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Distinguished Applied Mathematics Lectures by Professor Avner Friedman, December 10, 2010 ( 2010-12-03 )
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Speaker: Professor Avner Friedman Affiliation: The Ohio State University Date: Tue. December 10, 2010 Time: 10:10-11:30am Venue: SA311 Abstract: I shall define what is meant by “mathematical biology,” and then proceed to illustrate the degree of its usefulness by examples taken from projects developed at the Mathematical Biosciences Institute: chronic wound healing; modeling of the immune rheostat of macrophages in the lung in response to infection; 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 biologically testable hypotheses.
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