[PAST EVENT] Mathematics Colloquium and EXTREEMS-QED Lecture: Sze-Bi Hsu (National Tsing-Hua University, Taiwan)

August 28, 2015
2pm - 3pm
Jones Hall, Room 301
200 Ukrop Way
Williamsburg, VA 23185Map this location
Abstract: In this talk we first review some classical results on the competition of two microorganisms for resources in a traditional chemostat. Then we present the joint work with Ya-Tang Yang (EE,NTHU), the theory of a microfluidic bioreactor with a two-compartment growth chamber and periodic serial dilution. In the model, coexisting planktonic and biofilm populations exchange by adsorption and detachment. The criteria for coexistence and global extinction are determined by stability analysis of the global extinction state. Stability analysis yields the operating diagram in terms of the dilution and removal ratios, constrained by the plumbing action of the bioreactor. The presented theory is applicable to generic microfluidic bioreactors with discrete growth chambers and periodic dilution at discrete time points. Therefore, the theory is expected to assist the design of microfluidic devices for investigating microbial competition and microbial biofilm growth under serial dilution conditions.

Junping Shi