Robust Analysis and Parameters Identification of the Nonlinear Multistage Dynamical System in Batch Fermentation of Glycerol
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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/925404 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850222656939360256 |
|---|---|
| author | Xu Zhang Xinying Wang Enmin Feng Zhilong Xiu |
| author_facet | Xu Zhang Xinying Wang Enmin Feng Zhilong Xiu |
| author_sort | Xu Zhang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-732c5ec3bda54c06bf39e97304dde5ba |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-732c5ec3bda54c06bf39e97304dde5ba2025-08-20T02:06:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/925404925404Robust Analysis and Parameters Identification of the Nonlinear Multistage Dynamical System in Batch Fermentation of GlycerolXu Zhang0Xinying Wang1Enmin Feng2Zhilong Xiu3School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, ChinaSchool of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, ChinaSchool of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, ChinaDepartment of Biotechnology, Dalian University of Technology, Dalian, Liaoning 116012, ChinaThis 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.http://dx.doi.org/10.1155/2014/925404 |
| spellingShingle | Xu Zhang Xinying Wang Enmin Feng Zhilong Xiu Robust Analysis and Parameters Identification of the Nonlinear Multistage Dynamical System in Batch Fermentation of Glycerol Journal of Applied Mathematics |
| title | Robust Analysis and Parameters Identification of the Nonlinear Multistage Dynamical System in Batch Fermentation of Glycerol |
| title_full | Robust Analysis and Parameters Identification of the Nonlinear Multistage Dynamical System in Batch Fermentation of Glycerol |
| title_fullStr | Robust Analysis and Parameters Identification of the Nonlinear Multistage Dynamical System in Batch Fermentation of Glycerol |
| title_full_unstemmed | Robust Analysis and Parameters Identification of the Nonlinear Multistage Dynamical System in Batch Fermentation of Glycerol |
| title_short | Robust Analysis and Parameters Identification of the Nonlinear Multistage Dynamical System in Batch Fermentation of Glycerol |
| title_sort | robust analysis and parameters identification of the nonlinear multistage dynamical system in batch fermentation of glycerol |
| url | http://dx.doi.org/10.1155/2014/925404 |
| work_keys_str_mv | AT xuzhang robustanalysisandparametersidentificationofthenonlinearmultistagedynamicalsysteminbatchfermentationofglycerol AT xinyingwang robustanalysisandparametersidentificationofthenonlinearmultistagedynamicalsysteminbatchfermentationofglycerol AT enminfeng robustanalysisandparametersidentificationofthenonlinearmultistagedynamicalsysteminbatchfermentationofglycerol AT zhilongxiu robustanalysisandparametersidentificationofthenonlinearmultistagedynamicalsysteminbatchfermentationofglycerol |