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An improved model for multistage simulation of glycerol fermentation in batch culture and its parameter identification. (English) Zbl 1194.93021

Summary: The bioconversion of glycerol to 1,3-propanediol is a complex bioprocess. In this study, we aim to explore a novel model for describing the multistage cell growth in batch culture. This is achieved by a modification at the specific rate of cell growth in consideration of its time-dependent changes. The existence, uniqueness and boundedness of solutions to the system and the continuity of solutions with respect to the parameters are discussed. In addition, a parameter identification problem of the system is developed and a feasible optimization algorithm is constructed to solve it. Numerical results show that the improved model could describe the batch culture well.

MSC:

93A30 Mathematical modelling of systems (MSC2010)
92E20 Classical flows, reactions, etc. in chemistry
93B30 System identification
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