Global dynamics of the chemostat with overflow metabolism
JOURNAL OF MATHEMATICAL BIOLOGY(2021)
摘要
Fast growing E. coli cells, in glucose-aerobic conditions, excrete fermentation by-products such as acetate. This phenomenon is known as overflow metabolism and has been observed in a diverse range of microorganisms. In this paper, we study a chemostat model subject to overflow metabolism: if the substrate uptake rate (or the specific growth rate) is above a threshold rate (different from zero), then secretion of a by-product happens. We assume that the presence of the by-product has an inhibitory effect on the growth of the microorganism. The model is described by a non-smooth differential system of dimension three. We prove the existence of at most one equilibrium (or steady-state) with presence of microorganism, which is globally stable. We use these results to discuss the performance of chemostat-type systems to produce biomass or recombinant proteins.
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关键词
Global dynamics, Inhibitor, Overflow metabolism, Chemostat, Recombinant protein, Cooperative system, Global stability
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