An Improved Nonlinear Complex System of Microbial Bioconversion Process in Fed-batch Culture
نویسندگان
چکیده
The purpose of this paper is to explore the properties of a new model which can describe the multistage of population growth of microorganisms. The improved model is developed based on the time dependent changes of the specific growth rate. Considering the discontinuity of the process of adding glycerol and alkali, a nonlinear complex kinetic system(CKS) of fed-batch fermentation is investigated. Then the existence, uniqueness and boundedness of solutions to the CKS and the Lipschitz continuity and differentiability of solutions with respect to the initial-state-control pairs are discussed. Finally, a numerical example is employed to carry out numerical simulation for the CKS.
منابع مشابه
Modeling and Parameter Identification for Multistage Simulation of Microbial Bioconversion in Batch Culture
The bioconversion of glycerol to 1,3-propanediol is a complex bioprocess. The item of product inhibition in the equation of Specific rate of cell growth is overlapped in [L. Wang, J. X. Ye, E. M. Feng and Z. L. Xiu, An improved model for multistage simulation of glycerol fermentation in batch culture and its parameter identification, Nonlinear Anal. Hybrid Syst. 3(4) (2009) 455–462]. Therefore,...
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