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Sergei Pilyugin (University of Florida Department of Mathematics)
February 13 @ 10:40 am - 11:30 pm
Continuous culture models of microbial kinetics
In this talk, I will start with a bit of history of mathematical models of microbial kinetics in both batch and continuous cultures, briefly discuss the principle of competitive exclusion, and then concentrate on the models that incorporate the bacterial aggregation in various forms such as the flocculation and biofilm growth on the wall of the reaction vessel. Lastly, I will discuss a recent model of biofilm wall growth where the volume of the biofilm is not considered negligible and show that such model is capable of predicting the clogging of the reactor in finite time as well as other dynamic outcomes including the extinction of the microbe and a mono- and multi-stable persistence of the microbe in the reactor.