Chemostat refers to a laboratory device used for growing microorganisms in a cultured environment, and has been regarded as an idealization of nature to study competition modeling of mathematical biology. The simple form of chemostat model assumes that the availability of nutrient and its supply rate are both fixed. In addition the tendency of microorganism to adhere to surfaces is neglected by...

Continuous culture provides many benefits over the classical batch style of growing yeast cells. Steady-state cultures allow for precise control of growth rate and environment. Cultures can be propagated for weeks or months in these controlled environments, which is important for the study of experimental evolution. Despite these advantages, chemostats have not become a highly used system, in l...

Abstract Background Saccharomyces cerevisiae is a well-known popular model system for basic biological studies and serves as host organism the heterologous production of commercially interesting small molecules proteins. The central metabolism at core to provide building blocks energy support growth survival in normal situations well during exogenous stresses forced protein production. Here, we...

We show that for certain configurations of two chemostats fed in parallel, the presence of two different species in each tank can improve the yield of the whole process, compared to the same configuration having the same species in each volume. This leads to a (so-called) “transgressive over-yielding” due to spatialization. Key-words. Chemostat, steady-state, optimization, over-yielding.

In a chemostat, several species compete for the same nutrient, while in an epidemic, several strains of the same pathogen may compete for the same susceptible hosts. As winner, chemostat models predict the species with the lowest break-even concentration, while epidemic models predict the strain with the largest basic reproduction number. We show that these predictions amount to the same if the...

We consider a class of output feedback stabilization problems for chemostats with two species. We design dilution rate feedbacks that stabilize a componentwise positive equilibrium. Our feedbacks only depend on the sum of the species levels. The novelty of our treatment is in our dropping the usual condition on the relative sizes of the growth yield constants.