| This paper is on the background of producing1,3-propanediol by batch fermenta-tion of glycerol, assuming that glycerol and1,3-propanediol pass the cell membrane by passive diffusion coupled with facilitated transportation, we studies a non-linear genetic regulation and enzyme-catalytic dynamical system with14dimensions. To better un-derstand the fermentation process, we identifies those33parameters. The study has a guiding meaning to practical production. This work was supported by the National Natu-ral Science Foundation for the Youth of China,863Program,973Program. The research achievements and main contents of this thesis are as follows:1. We studies a non-linear enzyme-catalytic and genetic regulation dynamical system with33parameters. We discussed some properties of the dynamical system and proves that the dynamical equations satisfy the linear growth condition and that the solution of the dynamical system is existent and unique.2.For the extracellular measurable substances concentrations, we define error between computation and experiment data. For intracellular undetectable substances concentra-tions, because the intracellular substances concentrations are undetectable, we give the definition of system robustness on parameter disturbance in math measuring. Then we established a non-differential optimization problem and proved that the solution for the optimization problem is existent.3.For the optimization problem above, our purpose is to identify these parameters in the dynamical system. It will cost long time computations to solve this problem for ordi-nary optimization algorithms. To identify those parameters in the dynamical system, we propose a parallel particle swarm optimization algorithm to solve the problem. Numerical results show that the optimization algorithm is valid and the enzyme-catalytic and genetic regulation dynamical system helps understand the intracellular reaction process. |
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