A mathematical study of an enzymatic reaction in non homogeneous reactors with substrate and product inhibition: application to cellobiose hydrolysis in a bioreactor with a dead-zone

International audienceThis paper presents a mathematical study for an enzymatic reaction with both substrate and product inhibition in two interconnected Continuous Stirred Tank Reactors (CSTRs) where one of them is a dead zone.We propose necessary and sufficient conditions that guarantee the steady states multiplicity. The main purpose of this work is to estimate the kinetic and operating parameters which give, in experimental data, the steady states multiplicity and guarantee the presence of the best steady state that has the optimum biological performance in a non homogeneous reaction system