Robust Analysis and Parameters Identification of the Nonlinear Multistage Dynamical System in Batch Fermentation of Glycerol
Joint Authors
Feng, Enmin
Zhang, Xu
Wang, Xinying
Xiu, Zhilong
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper discusses a complex biological problem which is the fermentation of glycerol by Klebsiella pneumoniae in batch culture.
We set up an improved multistage model involving the concentration of intracellular substances.
Furthermore, the existence, uniqueness, and continuity of solutions with respect to the parameters are discussed.
On the condition that glycerol and 1,3-propanediol are assumed to pass the cell membrane by passive diffusion coupled with facilitated transport, we take the relative errors between experimental data and computational values of the extracellular substances concentrations and the biological robustness of the intracellular substances concentrations as the performance index.
Then we establish a parameter identification model and construct the particle swarm optimization algorithm to solve it.
Finally, the numerical result shows that the improved model could describe the glycerol fermentation in batch culture well.
American Psychological Association (APA)
Zhang, Xu& Wang, Xinying& Feng, Enmin& Xiu, Zhilong. 2014. Robust Analysis and Parameters Identification of the Nonlinear Multistage Dynamical System in Batch Fermentation of Glycerol. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1039803
Modern Language Association (MLA)
Zhang, Xu…[et al.]. Robust Analysis and Parameters Identification of the Nonlinear Multistage Dynamical System in Batch Fermentation of Glycerol. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1039803
American Medical Association (AMA)
Zhang, Xu& Wang, Xinying& Feng, Enmin& Xiu, Zhilong. Robust Analysis and Parameters Identification of the Nonlinear Multistage Dynamical System in Batch Fermentation of Glycerol. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1039803
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039803