A model of the simple chemostat which allows for growth on the wall (or other marked surface) is presented as three nonlinear ordinary differential equations. The organisms which are attached to the wall do not wash out of the chemostat. This destroys the basic reduction of the chemostat equations to a monotone system, a technique which has been useful in the analysis of many chemostat-like equ...

A chemostat model with delayed response in growth and impulsive diffusion and input on nutrients is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally attractive. The permanent condition of the investigated system is also obtained by the theory on impulsive delay differential equatio...

Development of bacteriophage T4 depends on the physiological state of its host cell. Based on previous studies performed under laboratory conditions with different media determining various growth rates of Escherichia coli, a mathematical model was developed which suggested that phage T4 development cannot proceed efficiently in bacteria growing with a doubling time longer than 160 min. Contrar...

Fast growing E. coli cells, in glucose-aerobic conditions, excrete fermentation by-products such as acetate. This phenomenon is known overflow metabolism and has been observed a diverse range of microorganisms. In this paper, we study chemostat model subject to metabolism: if the substrate uptake rate (or specific growth rate) above threshold (different from zero), then secretion by-product hap...

We show the global stabilization of the chemostat with nonmonotonic growth, adding a new species as a "biological" control, in presence of different removal rates for each species. This result is obtained by an extension of the Competitive Exclusion Principle in the chemostat, for the case of two species with different removal rates and at least one nonmonotonic response.

The effect of cyanide on the physiology of lactateand oxygen-limited Enterobacter aerogenes NCTC 10336 was studied in chemostat culture ( D = 0.1 h-l). In the absence of cyanide, the molar growth yield from oxygen ( Yo2) under oxygen limitation was 60% of the carbon-limited value. A similar decrease in yield was observed in a lactate-limited culture (excess oxygen) which was continuously fed lo...

This study demonstrates the potential applicability of the UV mutant Yarrowia lipolytica MK1 for the valorisation of glycerol and erythritol production in a chemostat culture. The aim of this research is to investigate the optimal C:N ratio in the feeding medium in order to enhance erythritol production. The highest erythritol concentration, at 113.1 g/L with a volumetric erythritol production ...