Parameter Identification and Nonlinear Analysis of the Continuous Bio-dissimilation Process of Glycerol

This paper deals with the parameter identification and nonlinear analysis of the nonlinear dynamical system in glycerol metabolism. Firstly, the nonlinear dynamical system for the continuous bio-dissimilation process of glycerol is established. A parameter identification problem is given, which takes the nonlinear ordinary differential equations of the continuous fermentation process as steady-state constrains. By using the sequential quadratic programming algorithm, the optimal parameters are obtained. The results show that the parameter identification optimization model of the nonlinear dynamical system can obtain more accurate parameters. Secondly, the calculation of the equilibrium points and stability analysis of the nonlinear dynamical system are carried out. The equilibrium points are calculated by the symbolized real root isolation method, and the stability of equilibrium points is estimated according to the stability theory of almost linear system.