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Journal of Chemistry
Volume 2013 (2013), Article ID 105765, 13 pages
http://dx.doi.org/10.1155/2013/105765
Research Article

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

1School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China
2Bioinformatics Factory, Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Gora, Szafrana 4a, 65-516 Zielona Gora, Poland
3School of Information Engineering, Dalian University, Dalian 116622, China

Received 23 June 2012; Accepted 2 September 2012

Academic Editor: Jorge Barros-Velazquez

Copyright © 2013 Kaibiao Sun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.