Theoretical Study and Optimization of the Biochemical Reaction Process by Means of Feedback Control Strategy

Abstract

The aim of this work is to present a theoretical analysis and optimization of a biochemical reaction process by means of feedback control strategy. To begin with, a mathematical model of the biochemical reaction process with feedback control is formulated. Then, based on the formulated model, the analysis of system's dynamics is presented. The optimization of the bioprocess is carried out, in order to achieve maximal biomass productivity. It is shown that during the optimization, the bioprocess with impulse effects loses the possibility of synchronization and strives for a simple continuous bioprocess. The analytical results presented in the work are validated by numerical simulations for the Tessier kinetics model.

Oscillatory behaviour control in a continuous culture under double-substrate limitation

“…It is well known that the system (1)-(3) with the constant yield coefficient (Y = const) does not exhibit the oscillatory behaviour [2,3,58]. However, if the yield coefficient is dependent on the substrate concentration S:…”