Indexed by:期刊论文

Date of Publication:2011-07-01

Journal:MATHEMATICAL AND COMPUTER MODELLING

Included Journals:SCIE、EI

Volume:54

Issue:1-2

Page Number:618-624

ISSN No.: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.