##### Department of Mathematics,

University of California San Diego

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### Math 288 - Probability & Statistics Seminar

## Jasmine Foo

#### University of Minnesota

## A mathematical model of the cancer field effect

##### Abstract:

In this talk I will present results on a stochastic model of spatial evolution on a lattice, motivated by the process of carcinogenesis (or cancer initiation) from healthy epithelial tissue. Cancer often arises through a sequence of genetic alterations or mutations. Each of these alterations may confer a fitness advantage to the cell, resulting in a clonal expansion. To model this we will consider a generalization of the biased voter process which incorporates successive mutations modulating fitness. Under this model we will investigate a possible mechanism for the phenomenon of ``field cancerization," which refers to the clinical observation that multiple independent primary tumors often arise in the same region of tissue. (joint work w/ K. Leder, M. Ryser, and R. Durrett)

### January 16, 2014

### 9:00 AM

### AP&M 6402

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