Paper Info
Title
Modeling and identification of a nonlinear hybrid dynamical system in batch fermentation of glycerol
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.
Year
DOI
Venue
2011
10.1016/j.mcm.2011.03.005
Mathematical and Computer Modelling
Keywords
Field
DocType
optimization algorithm,nonlinear hybrid dynamical system,transport mechanisms,system identification model,batch culture,facilitated transport,batch fermentation,system identification,passive diffusion,reasonable transport mechanism,transport mechanism,cell membrane,k. pneumoniae,klebsiella pneumoniae,simulated annealing
Simulated annealing,Uniqueness,Nonlinear system,Biological system,Mathematical analysis,Calculus of variations,Algorithm,Numerical analysis,System identification,Dynamical system,Mathematics,Facilitated diffusion
Journal
Volume
Issue
ISSN
54
1-2
Mathematical and Computer Modelling
Citations 
PageRank 
References 
5
0.69
4
Authors
5
Name
Order
Citations
PageRank
Juan Wang1272.60
Jianxiong Ye2183.74
Enmin Feng311124.41
Hongchao Yin4224.55
Zhilong Xiu54712.56