Analysis of a Competing Yeast Model in Continuous Environments
Document Type
Presentation Abstract
Presentation Date
5-7-2012
Abstract
This talk outlines a situation related to modeling competing yeast populations in continuous environments, where a susceptible population can outcompete an infectious population. The specific system involves the killer-virus infected yeast and the uninfected yeast interactions. The killer virus infects yeast and gives it the ability to produce a toxin which kills uninfected yeast cells. It is natural to suspect that the upkeep of a virus and the production of toxin detracts from the resources available for growth. Cell density in a chemostat is determined by its growth rate constant and the dilution rate constant of the system. If the dilution rate term is large compared to the growth rate term, then the yeast population is "washed out" from the chemostat. The possibility of a dilution rate being high enough to washout the killer yeast, but not the susceptible (non-killer) yeast, is explored using the mathematical model, and a region in a parameter space where the "washout" of the infected yeast can happen is determined using experimental data.
Recommended Citation
McClure, Nick, "Analysis of a Competing Yeast Model in Continuous Environments" (2012). Colloquia of the Department of Mathematical Sciences. 401.
https://scholarworks.umt.edu/mathcolloquia/401
Additional Details
Monday, 7 May 2012
3:10 p.m. in Math 311
4:00 p.m. Refreshments in Math Lounge 109