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Seminars for the week of March 7, 2011ColloquiumThursday, 3:30, in VinH 16Professor Jun Li
Abstract:Finding rational curves in a polarized K3 surface is a classical and a multi-facet problem. I will review the classical and the moduli approach to produce and sometimes enumerate rational curves in such a K3. I will end up by presenting the method of reduction to finite field that producesinfinitely many irreducible rational curves in a K3 of odd Picard number. *and*Monday 3:30 VinH 113 Professor Jasmine Foo Harvard University Tumor heterogeneity: mathematical models and applications to drug resistance Abstract:In this talk I will describe a branching process model of tumorigenesis where mutations confer random perturbations to cellular fitness. We establish the dependence of the growth rate of the population on the properties of the mutational fitness distribution, as well as several interesting properties of diversity measures in the population. In particular, we examine the heterogeneity between populations with varying numbers of mutations, as well as the heterogeneity within a population with k mutations. In the latter half of the talk I will discuss the application of these types of mathematical models to study pre-existing drug resistance in chronic myeloid leukemia and dosing strategies to delay resistance to tyrosine kinase inhibitors in non-small cell lung cancer.
Monday, 7 Mar 2011
Tuesday, 8 Mar 2011
Wednesday, 9 Mar 2011
Thursday, 10 Mar 2011
Friday, 11 Mar 2011
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