Modeling and identification of a nonlinear hybrid dynamical system in batch fermentation of glycerol

作者：Wang, Juan^*; Ye, Jianxiong; Feng, Enmin; Yin, Hongchao; Xiu, Zhilong

来源：Mathematical and Computer Modelling, 2011, 54(1-2): 618-624.

DOI：10.1016/j.mcm.2011.03.005

• Batch culture
• Transport mechanisms
• Nonlinear hybrid dynamical system
• System identification
• Optimization algorithm

A nonlinear hybrid dynamical system is established to describe the batch culture of glycerol to 1,3-propanediol (1,3-PD) by Klebsiella pneumoniae (K. pneumoniae), in which glycerol is assumed to pass the cell membrane by passive diffusion coupled with facilitated transport and transport mechanism of 1,3-PD is assumed to be uncertain. The existence, uniqueness and continuity of solutions are also discussed. To infer the most reasonable transport mechanism of 1,3-PD, a system identification model consisting of both discrete and continuous variables is proposed. Additionally, we construct a two-phase optimization algorithm on the basis of modified complex method together with very fast simulated annealing technology. Numerical results show that it is most reasonable for 1,3-PD to pass the cell membrane by passive diffusion coupled with facilitated transport and that the optimization algorithm is valid.

• 出版日期2011-7
• 单位大连理工大学