Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-07-01

Journal: MATHEMATICAL AND COMPUTER MODELLING

Included Journals: EI、SCIE

Volume: 54

Issue: 1-2

Page Number: 618-624

ISSN: 0895-7177

Key Words: Batch culture; Transport mechanisms; Nonlinear hybrid dynamical system; System identification; Optimization algorithm

Abstract: 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.