DEPARTMENT OF MATHEMATICAL AND STATISTICAL SCIENCES
UNIVERSITY OF ALBERTA

PIMS-MITACS MATHEMATICAL BIOLOGY SEMINAR


MONDAY, November 07, 2005
3:00 - 4:00 p.m.
CAB 657

Bettina Greese
Graduate Student - Diplom Biomathematik
Universität Geifswald, Germany
Visiting Graduate Student at the University of Alberta

An Integro-Differential Model for Cancer Growth

In this talk, I will develop and analyze an integro-differential model for the growth and spread of a tumor. The modeling will be guided by the example of ovarian cancer, which commonly spreads from the ovary into the peritoneal cavity, where the population of cells invades the peritoneum. From a random walk, I derive a discrete equation that measures the number of clonogens in one patch. By taking the continuum limit in space and time, I find an integro-differential equation that measures the density of clonogens at one point. I approximate the kernel operator in the model with the help of the moment expansion formula. Two characteristic values are calculated, the critical domain size and the miminal traveling wave speed. Compared to the well-known Fisher-KPP equation, the analysis of my model shows singularities which yields new results.

Refreshments will be served following the seminar from 4:00 to 5:00 p.m. in CAB 549