| Basing on enzyme-catalytic kinetic model of continuous fermentation.the enzyme-catalytic systems of bio-dissimilation of glycerol to1.3-propanediol by Klebsiella pneu-moniae are investigated in this paper.We bring in the time delay parameters and a nonlinear hybrid system with time delays is established.inferring the optimal time de-lay parameters of extracellular substances.glycerol、3-HPA and1,3-PD intracellular sub-stances.Finally,we give a solution to the optimal control problem.The main results can provide certain reference for industrialization of1.3-propancdiol production by fermenta-tion.The main results in this dissertation may be summarized as follows:l.On the basis of both glycerol and1.3-PD pass the cell membrane by active and pas-sive diffusion under substrate-sufficient conditions,we consider the concentration changes of both extracellular substances and intracellular substances.Beacause of the transport across membrane.the concentrations time delays of1.3-PD extracellular substances.glycerol、3-HPA and1.3-PD intracellular substances are taken.We develop the corresponding non-linear dynamical systems.It is proved that the solution to the system uniquely exists and is continuous with respect to kinetic parameters.2.Because of lack of intracellular information.we establish a mathematical definition of biological robustness.Taking the new presented biological robustness and relative er-ror between experimental data and computational values as the performance index, a parameter identification model is established.Through numerical computation. we infer the optimal time delays of1.3-PD extracellular substances,glycerol、3-HPA and1.3-PD intracellular substances.3.In this paper, the optimal control problem is also considered. Taking the maxi-mum production strength of1.3-propanediol as the objective function,an optimal model is given.The existence of optimal solution is proved.Finally.we infer the optimal experi-mental conditions. |
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