Stochastic modeling of the C. Acetobutylicum and solvent productions in fermentation

Recent decade has seen great progress in the use of stochastic models in biological process. Researchers are now realising that stochastic models have important roles to play in biological process especially in the analysis of population dynamics. This progress encourages many researchers to develop...

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Main Author:	Mohd. Aziz, Mohd. Khairul Bazli
Format:	Thesis
Language:	English
Published:	2010
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/12331/6/MohdKhairulBazliMFS2010.pdf
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id	my-utm-ep.12331
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spelling	my-utm-ep.123312017-09-13T03:31:49Z Stochastic modeling of the C. Acetobutylicum and solvent productions in fermentation 2010 Mohd. Aziz, Mohd. Khairul Bazli QA Mathematics Recent decade has seen great progress in the use of stochastic models in biological process. Researchers are now realising that stochastic models have important roles to play in biological process especially in the analysis of population dynamics. This progress encourages many researchers to develop new methods and techniques to improve the stochastic model. In recent study, logistic equations have been used to model the cell growth of C.acetobutylicum while the Luedeking-Piret equation incorporating the logistic equation used to model the formation of solvent. However, it was found that the Luedeking-Piret equation is not adequate for modeling the production of acetone and butanol. In this study, stochastic power law logistic model has been considered to model the cell growth of C.acetobutylicum and the solvent production in five different yeast cultures. In order to solve the SDEs, simulated maximum likelihood estimation method and Euler-Maruyama approximation method have been used. Finally, the stochastic models and deterministic models are compared by using their root mean square errors of the growth model and solvent productions model. The stochastic models have smaller value of root mean square errors, thus showed that the stochastic power law logistic models are better models than their deterministic counterparts to describe the growth of C.acetobutylicum and solvent productions in fermentation. 2010 Thesis http://eprints.utm.my/id/eprint/12331/ http://eprints.utm.my/id/eprint/12331/6/MohdKhairulBazliMFS2010.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Mohd. Aziz, Mohd. Khairul Bazli Stochastic modeling of the C. Acetobutylicum and solvent productions in fermentation
description	Recent decade has seen great progress in the use of stochastic models in biological process. Researchers are now realising that stochastic models have important roles to play in biological process especially in the analysis of population dynamics. This progress encourages many researchers to develop new methods and techniques to improve the stochastic model. In recent study, logistic equations have been used to model the cell growth of C.acetobutylicum while the Luedeking-Piret equation incorporating the logistic equation used to model the formation of solvent. However, it was found that the Luedeking-Piret equation is not adequate for modeling the production of acetone and butanol. In this study, stochastic power law logistic model has been considered to model the cell growth of C.acetobutylicum and the solvent production in five different yeast cultures. In order to solve the SDEs, simulated maximum likelihood estimation method and Euler-Maruyama approximation method have been used. Finally, the stochastic models and deterministic models are compared by using their root mean square errors of the growth model and solvent productions model. The stochastic models have smaller value of root mean square errors, thus showed that the stochastic power law logistic models are better models than their deterministic counterparts to describe the growth of C.acetobutylicum and solvent productions in fermentation.
format	Thesis
qualification_level	Master's degree
author	Mohd. Aziz, Mohd. Khairul Bazli
author_facet	Mohd. Aziz, Mohd. Khairul Bazli
author_sort	Mohd. Aziz, Mohd. Khairul Bazli
title	Stochastic modeling of the C. Acetobutylicum and solvent productions in fermentation
title_short	Stochastic modeling of the C. Acetobutylicum and solvent productions in fermentation
title_full	Stochastic modeling of the C. Acetobutylicum and solvent productions in fermentation
title_fullStr	Stochastic modeling of the C. Acetobutylicum and solvent productions in fermentation
title_full_unstemmed	Stochastic modeling of the C. Acetobutylicum and solvent productions in fermentation
title_sort	stochastic modeling of the c. acetobutylicum and solvent productions in fermentation
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2010
url	http://eprints.utm.my/id/eprint/12331/6/MohdKhairulBazliMFS2010.pdf
_version_	1747814925336576000

Stochastic modeling of the C. Acetobutylicum and solvent productions in fermentation

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