Microbial Fermentation Parameters Of The Dynamical System Identification And Optimization

In this paper a mathematical model of the nonlinear dynamic system is developed according to the cell growth kinetics of multiple-inhibitions, the metabolic overflow kinetics of substrate consumption and product formation. The identification model for this system is also established. The existence of the solution for the nonlinear dynamic system is discussed and the identify-cability of the parameters is proved.In the first chapter, the significance of the control theory and the cultivation of microorganism are introduced and the problem that will be studied is presented.In the second chapter, some essential definitions, preliminary theorems of mathematics and basement of biotechnology are introduced.In the third chapter, based on the experimental results and mechanism for biodissimilation of glycerol to 1,3-propanediol in continuous anaerobic cultures, we establish a mathematical model, which describes the nonlinear dynamical system and the identification problem. The existence of the solution for the nonlinear dynamic system will be discussed and the identificability of the parameters is proved. The optimization algorithm and its corresponding software are developed.In the fourth chapter, a simple mathematical model of the nonlinear dynamic system is developed in batch anaerobic cultures according to the cell growth kinetics of multiple-inhibitions, the metabolic overflow kinetics of substrate consumption and product formation. The identification model for this system is also established. As in the third chapter, the existence of the solution for the nonlinear dynamic system is discussed and the identificability of the parameters is proved. Finally the optimal conditions of batch fermentations are obtained by using the volumetric productivity of 1, 3-propanediol as the objective function and the initial concentrations of glycerol and biomass as the control variables.