Theoretical approach to modelling and analysis of the bioprocess with product inhibition and impulse effect.
This work presents the first mathematical model of a bioprocess with product inhibition and impulse effect. To begin with, an exemplary mathematical bioprocess model with product inhibition and impulse effect is formulated. Then, according to the model, the analysis of bioprocess stability is presented. The article expresses the product oscillation period, which provides the precise feeding time frame for the regulator bioprocess to achieve an equivalent stable output as that of a bioprocess with impulse effect in the same production environment. Moreover, in this work, the optimization of the production process with respect to the tunable parameters is investigated, and analytical expressions of their optimal values are provided. Numerical simulations using biological data are presented to illustrate the main results.
School of Information Engineering, Dalian University, Dalian 116622, People's Republic of China.
Yuan
Y
Tian
Andrzej
A
Kasperski
Kaibiao
K
Sun
Lansun
L
Chen
D000465:Algorithms; D001709:Biotechnology / Q000379:methods*; D003198:Computer Simulation; D048230:Corynebacterium glutamicum / Q000378:metabolism / Q000502:physiology; D025461:Feedback, Physiological / Q000502:physiology*; D018698:Glutamic Acid / Q000378:metabolism; D008954:Models, Biological; D008962:Models, Theoretical
D018698:Glutamic Acid