FSUMATH

Harsh Jain


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.