Robustness And Identification Of Hybrid System About The Inhibition Range Of 3-HPA To Two Enzymes System

In this dissertation,based on the bio-dissimilation of glycerol to 1,3-propane-diol (1,3-PD)from batch fermentation to continuous fermentation and the different possible yield on the inhibitions of 3-hydroxypropionaldehyde (3-HPA)which is an important interme-diate substance in the process of fermentation to two key enzymes (glycerol dehydratase (GDHt)and 1.3-propanediol oxydoreductase (PDOR)), a nonlinear hybrid dynamical sys-tem is instructed to infer the different range of the inhibition of 3-HPA to the two en-zymes,and then the existence of the solution and somen other properties is studied and disscussed. Due to the difficulty in measuring intracellular concentrations, a quantitative analysis method of biological robustness is proposed,and the most possible yield of the inhibition of 3-HPA to the two enzymes is determined by the biological robustness and identification of hybrid system.And the main content of this article can be summarized as follows:1. It is mainly discussed about the inhibition of 3-HPA to the effect activities of two key enzymes GDHt and PDOR.The accumulation of 3-HPA can cause the inhibition of the growth of cells and the effect activity of some key enzymes,In this dissertation,during the fermentation of bio-dissimilation of glycerol to 1,3-PD,assuming that the transports of glycerol and 1,3-PD across cell membrane by both passive diffusion and active transport, a nonlinear hybrid dynamical system about the range of the inhibition of 3-HPA to the effect activity of GDHt and PDOR is proposed,and the existence and uniqueness of solution and some other properties is discussed.2.A numerical computation is proposed to solve the robustness and identification of hybrid system about the inhibition range of 3-HPA to two enzymes.Due to the difficulty in measuring intracellular concentrations and the inaccuracy of the experimental data,we present the concept of biological robustness to evaluate the reliability of intracellular computational values by the hybrid system. On the basis of the biological robustness, an identification model which is subject to some conditions including the proposed nonlinear hybrid dynamical systems is established.then the identifiability of the model is proved. Finally,we infer that the inhibition of 3-HPA to the two enzymes exits when 3-HPA reaches a certain concentration,and the most possible yield is obtained by numerical computation.