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论文类型：期刊论文

发表时间：2011-07-01

发表刊物：MATHEMATICAL AND COMPUTER MODELLING

收录刊物：SCIE、EI

卷号：54

期号：1-2

页面范围：618-624

ISSN号：0895-7177

关键字：Batch culture; Transport mechanisms; Nonlinear hybrid dynamical system; System identification; Optimization algorithm

摘要：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. (C) 2011 Elsevier Ltd. All rights reserved.