Research On Parameter Estimation For Nonlinear Batch Bio-dissimilation System Of Glycerol

Currently,the study that parameter estimation method for biological system has been widely concerned by many domestic and foreign scholars.In order to obtain more accurate estimation results of the parameters for biological system,it is necessary to establish a mathematical model suitable for its characteristics,and then combine with the effective methods to make that the calculated values is closer to the experimental values,other words,the error function value is reduced.The research contents and results of the paper are as follows:1.For the excess nonlinear ordinary differential equation system of batch bio-dissi milation process of glycerol,a dynamic optimization problem for its parameter estimation is first given by considering the sum of metabolite concentration and slope errors as the optimization objective.The excess nonlinear ordinary differential equation system of batch bio-dissimilation process of glycerol is considered a constraint of this dynamic optimization problem.By an improved Euler formula and a Runge Kutta formula,the ordinary differential equations of the dynamic optimization problem are approximately represented as the algebraic equations.The original dynamic optimiza tion model is transformed as a nonlinear programming problem.Finally,a particle swarm optimization algorithm is used to solve the obtained nonlinear programming problem.Compared with the existing literatures,this paper obtained the better parameter estimation results,the error value is smaller,and the results based on the Runge Kutta formula is better.This can provide a guide for building the nonlinear system of batch bio-dissimilation process of glycerol.2.In this paper,the hybrid model is also established to study the parameter estimation for batch bio-dissimilation system of glycerol.A dynamic optimization problem for its parameter estimation is given by considering the sum of metaboliteconcentration and slope errors as the optimization objective.The nonlinear hybrid system of batch bio-dissimilation process of glycerol is considered a constraint of this dynamic optimization problem.The ordinary differential equations of the dynamic optimization problem are approximately represented as the algebraic equations by an improved Euler formula and a Runge Kutta formula.Finally the nonlinear programming problem is solved on the MATLAB software platform to obtain the optimal parameters in the hybrid model.Compared with the results in the second chapter,it can be found that on the basis of the hybrid model,the parameter estimation results based on the above methods are more accurate and the error values obtained are smaller,especially the result based on the Runge Kutta formula method.