Parameter Identification And Robustness Analysis Of Enzyme-catalytic Kinetic System

In this dissertation,the nonlinear enzyme-catalytic kinetic system of continuous fermentation in the process of glycerol bio-dissimilation to 1,3-propanediol by Klebsiella pneumoniae is investigated according to the features and the dynamic behaviors of the fermentation process.The transport mode of 1,3-propanediol across cell membrane in continuous culture is also analyzed and inferred based on quantitative robustness analysis. This work was supported by National Natural Science Foundation "Optimization theory and algorithm of nonsmooth dynamic system in a class of complex networks"(No. 10871033) and the National High Technology Research and Development Program(863 Program) "Biodiesel and 1,3-Propanediol Integrated Production"(No.2007AA02Z208). The study of the enzyme-catalytic model can not only be helpful for deeply understanding metabolic mechanisms,but also provide certain guidance for industrialization of 1,3-propanediol production.The main results in this dissertation may be summarized as follows:1.The nonlinear enzyme-catalytic kinetic system of continuous fermentation is investigated. We discuss the existence and uniqueness of solution to the system,and continuity and differentiability of the solution with respect to parameters.We set up the parameters identification model subject to the nonlinear enzyme-catalytic kinetic system.Sensitivity of the system with respect to parameters is also studied.And existence of the optimal solution of the identification model is proved.At last,an improved Hooke-Jeeves Method is constructed to obtain the optimal parameters.Numerical results show the validity of the algorithm.2.We set up three different dynamic systems of glycerol continuous fermentation based on all the possible transport mechanism of 1,3-propanediol across cell membrane. We propose a new quantitative robustness analysis method.As a result,we can infer the transport mode of 1,3-propanediol across cell membrane and enzyme-catalytic kinetic system with higher robust performance.