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...

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Main Authors:	Norhayati, Rosli, Tawfiqullah, Ayoubi, Arifah, Bahar, Haliza, Abdul Rahman, Madihah, Md Salleh
Format:	Article
Published:	AIP Publishing LLC 2014
Subjects:	Q Science (General)
Online Access:	http://umpir.ump.edu.my/id/eprint/8982/ http://umpir.ump.edu.my/id/eprint/8982/ http://umpir.ump.edu.my/id/eprint/8982/

id	ump-8982
recordtype	eprints
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 http://dx.doi.org/10.1063/1.4882632 DOI: 10.1063/1.4882632
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
topic	Q Science (General)
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
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.
format	Article
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
title	Stochastic Growth Logistic Model With Aftereffect for Batch Fermentation Process
title_short	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_sort	stochastic growth logistic model with aftereffect for batch fermentation process
publisher	AIP Publishing LLC
publishDate	2014
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/
first_indexed	2023-09-18T22:07:03Z
last_indexed	2023-09-18T22:07:03Z
_version_	1777414777803374592

Stochastic Growth Logistic Model With Aftereffect for Batch Fermentation Process

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