Mathematics Graduate Student Colloquium

MGSC Website: http://math.uci.edu/~mgsc/

A hybrid stochastic-deterministic approach to explore multiple infection and evolution in HIV

Jesse Kreger
Saturday, April 25, 2020
12:15 pm - 12:45 pm
Virtual via Zoom

Talk Abstract:

In vivo Human Immnuodeficiency Virus (HIV) infection dynamics are highly dependent on stochastic effects, such as mutation from the wild type into mutant strains that can escape from immune responses and/or drug treatment. Because of the large number of lymphocyte cells and the large number of different infected cell subpopulations in the context of many stains and multiple infection, stochastic algorithms such as the Gillespie method are extremely computationally inefficient. In this talk, we apply and further develop a general hybrid stochastic-deterministic algorithm (1) to HIV specific mathematical models (2). In particular, we use the hybrid approach to analyze the contributions of multiple infection and free virus versus synaptic cell-to-cell transmission on the evolution of an infection, and compare these results to deterministic predictions. (1) Rodriguez-Brenes IA, Komarova NL, Wodarz D. The role of shortening in carcinogenesis: A hybrid stochastic-deterministic approach. J theor Biol. 2019;460:144-152. (2) Kreger, J and Komarova, NL, and Wodarz, D. Effect of synaptic transmission of the evolution of double mutants in HIV. Journal of the Royal Society Interface. 2020;17.164..

About the Speaker:

Jesse is a 4th year graduate student working on mathematical biology.

Refreshments:

Pizza will be served after the talk.