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BIOMATHEMATICS SEMINAR
Speaker: Harsh Jain
Title: Modeling Periodic Chemotherapy in Ovarian Cancer
Affiliation: Florida State University
Date: Wednesday, October 1, 2014
Place and Time: Room 200, Love Building, 3:35 pm
Abstract. In this talk, I will present delayed and functional
differential equation models of periodic chemotherapy targeting solid
tumors. Necessary and sufficient conditions for stability of the cancer
free equilibrium are derived. The existence of numerically
(and experimentally) observed periodic solutions is investigated using
tools from functional analysis and floquet theory. A number of open
problems regarding these results in a more general setting will be
presented.
I will also present a clinical application of the model, by applying
it to the treatment of ovarian cancers with combination
chemotherapy. The drugs considered include: platinum based compounds
that induce cell death by inflicting DNA
damage and small molecule cell death inducers. The model is
calibrated versus in vitro experimental results, and is then
used to predict optimal doses and administration time scheduling
for the treatment of a tumor growing in vivo. Finally, a number
of open problems will be presented.
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