关键词: 数学模型, 参数辨识, 差异演化算法, 连续发酵

Abstract: It is vital to improve the production of 1，3-propanediol（1，3-PD） in microbial continuous fermentations.However，3-hydroxypropionaldehyde（3-HPA） accumulation will arouse an irreversible cessation of fermentation process.Considering the inhibitions of 3-HPA to the growth of cells and the activities of enzymes，this paper proposes a novel mathematical model to describe glycerol bioconversion to 1，3-PD in continuous cultures.To identify the kinetic parameters in the above model，a parameter identification model is proposed.The identifiability is also proved.Finally，an improved differential evolution algorithm is constructed to solve the parameter identification model.Numerical results show that not only the proposed model can describe the fermentation process better，but also the algorithm is efficient.

Key words: mathematical model, parameter identification, differential evolution algorithm, continuous culture