Stochastic Growth Logistic Model With Aftereffect for Batch Fermentation Process
In this paper, the stochastic growth logistic model with aftereffect for the cell growth of C. acetobutylicum P262 and Luedeking-Piret equations for solvent production in batch fermentation system is introduced. The parameters values of the mathematical models are estimated via Levenberg-Marquardt o...
| Main Authors: | , , , , |
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| Format: | Article |
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AIP Publishing LLC
2014
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| Online Access: | http://umpir.ump.edu.my/id/eprint/8982/ |
| _version_ | 1848818370579791872 |
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| author | Norhayati, Rosli Tawfiqullah, Ayoubi Arifah, Bahar Haliza, Abdul Rahman Madihah, Md Salleh |
| author_facet | Norhayati, Rosli Tawfiqullah, Ayoubi Arifah, Bahar Haliza, Abdul Rahman Madihah, Md Salleh |
| author_sort | Norhayati, Rosli |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | In this paper, the stochastic growth logistic model with aftereffect for the cell growth of C. acetobutylicum P262 and Luedeking-Piret equations for solvent production in batch fermentation system is introduced. The parameters values of the mathematical models are estimated via Levenberg-Marquardt optimization method of non-linear least squares. We apply Milstein scheme for solving the stochastic models numerically. The effciency of mathematical models is measured by comparing the simulated result and the experimental data of the microbial growth and solvent production in batch system. Low values of Root Mean-Square Error (RMSE) of stochastic models with aftereffect indicate good fits. |
| first_indexed | 2025-11-15T01:36:35Z |
| format | Article |
| id | ump-8982 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| last_indexed | 2025-11-15T01:36:35Z |
| publishDate | 2014 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-89822016-06-27T06:54:13Z http://umpir.ump.edu.my/id/eprint/8982/ Stochastic Growth Logistic Model With Aftereffect for Batch Fermentation Process Norhayati, Rosli Tawfiqullah, Ayoubi Arifah, Bahar Haliza, Abdul Rahman Madihah, Md Salleh Q Science (General) In this paper, the stochastic growth logistic model with aftereffect for the cell growth of C. acetobutylicum P262 and Luedeking-Piret equations for solvent production in batch fermentation system is introduced. The parameters values of the mathematical models are estimated via Levenberg-Marquardt optimization method of non-linear least squares. We apply Milstein scheme for solving the stochastic models numerically. The effciency of mathematical models is measured by comparing the simulated result and the experimental data of the microbial growth and solvent production in batch system. Low values of Root Mean-Square Error (RMSE) of stochastic models with aftereffect indicate good fits. AIP Publishing LLC 2014 Article PeerReviewed Norhayati, Rosli and Tawfiqullah, Ayoubi and Arifah, Bahar and Haliza, Abdul Rahman and Madihah, Md Salleh (2014) Stochastic Growth Logistic Model With Aftereffect for Batch Fermentation Process. AIP Conf. Proc. : Proceedings of the 3rd International Conference On Mathematical Sciences, 1602. pp. 1168-1177. ISSN 978-0-7354-1236-1. (Published) http://dx.doi.org/10.1063/1.4882632 DOI: 10.1063/1.4882632 |
| spellingShingle | Q Science (General) Norhayati, Rosli Tawfiqullah, Ayoubi Arifah, Bahar Haliza, Abdul Rahman Madihah, Md Salleh Stochastic Growth Logistic Model With Aftereffect for Batch Fermentation Process |
| title | Stochastic Growth Logistic Model With Aftereffect for Batch Fermentation Process |
| title_full | Stochastic Growth Logistic Model With Aftereffect for Batch Fermentation Process |
| title_fullStr | Stochastic Growth Logistic Model With Aftereffect for Batch Fermentation Process |
| title_full_unstemmed | Stochastic Growth Logistic Model With Aftereffect for Batch Fermentation Process |
| title_short | Stochastic Growth Logistic Model With Aftereffect for Batch Fermentation Process |
| title_sort | stochastic growth logistic model with aftereffect for batch fermentation process |
| topic | Q Science (General) |
| url | http://umpir.ump.edu.my/id/eprint/8982/ http://umpir.ump.edu.my/id/eprint/8982/ http://umpir.ump.edu.my/id/eprint/8982/ |