中文摘要：

动力学模型对微生物培养过程的理论研究和生产实践具有重要的意义。今用7L发酵罐对米根霉（Rhizopus Oryzae）分批发酵生产富马酸的动力学行为进行了研究。由Logistic和Luedeking-Pirct模型方程分别建立了米根霉产富马酸发酵过程中菌体生长、产物积累和基质消耗的数学模型，并采用Runge-Kutta法得到了动力学模型参数。模型模拟计算结果与实验值可以较好地吻合，平均相对误差在5％以内。动力学研究结果表明，该模型能较好地反映米根霉的细胞生长、底物消耗和产物合成过程及其动力学机制，为进一步实现米根霉工业化生产富马酸提供了理论依据。

英文摘要：

Kinetic model has important significance for both theory and practice studies on microorganism cultivation. The process ofRhizopus oryzae fermentation in a 7 L fermentor with glucose as the carbon limiting substrate for producing fumaric acid was analyzed. Based on the Logistic and Luedeking-Piret equations, the mathematic models of mycelia growth, fumaric acid production and substrate consumption were developed to describe the fermentation process mentioned above. The kinetic parameters of the established models were determined by Runge-Kutta method. According to the models, the calculating results agree with the experimental data well and the deviations between them are within 5%, which indicates that the proposed kinetic models can well describe the kinetic mechanism of the fumaric acid production by Rhizopus oryzae, and they further provide the theoretical bases for the industrial-scale fumaric acid production by fermentation process.