Mathematical Biology Seminar
Friday, November 18, 2022, 12:00pm, by zoom
Jacob Madrid (University of Utah, Mathematics)
The Role of Stochasticity and System Size in Biological Systems
Abstract:- Mathematical biologists seek to answer important questions about large, highly complex, and noisy biological systems. Scales of interest range from the dynamics of individual molecules to the interactions of huge ecological networks. Often, the size of these systems is exploited to derive much more tractable models in the appropriate mean field limit. I explore situations where small scale stochasticity impacts these very large biological systems in important and surprising ways. In the first part of this talk, I will introduce the generalized theory of extreme first passage times of many diffusing particles. I will show how many redundant searchers determine the timescale of important biological processes. I will then discuss both deterministic and stochastic models of chimeric antigen receptor (CAR) T-cell cancer therapy. I will demonstrate how treatment success is driven by stochastic extinction events when deterministic trajectories are driven into stochastic dominated regimes.
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