Mathematical Analysis of a Kinetic Model for Enzymatic Cellulose Hydrolysis

Biofuel production such as ethanol from lignocellulosic biomass consists of three fundamental processes: pretreatment, enzymatic hydrolysis, and fermentation. Enzymatic hydrolysis uses two types of enzymes simultaneously: endoglucanase I (EG1) and cellobiohydrolase I (CBH1), to break the cellulose c...

Full description

Bibliographic Details
Main Author:	N., Mohd Jamil
Other Authors:	Al-Kayiem, H. H.
Format:	Book Section
Language:	English
Published:	WIT Press 2015
Subjects:	QA Mathematics
Online Access:	http://umpir.ump.edu.my/id/eprint/8046/ http://umpir.ump.edu.my/id/eprint/8046/ http://umpir.ump.edu.my/id/eprint/8046/ http://umpir.ump.edu.my/id/eprint/8046/1/fist-2014-jamil-Mathematical_analysis.pdf

id	ump-8046
recordtype	eprints
spelling	ump-80462015-03-03T09:39:30Z http://umpir.ump.edu.my/id/eprint/8046/ Mathematical Analysis of a Kinetic Model for Enzymatic Cellulose Hydrolysis N., Mohd Jamil QA Mathematics Biofuel production such as ethanol from lignocellulosic biomass consists of three fundamental processes: pretreatment, enzymatic hydrolysis, and fermentation. Enzymatic hydrolysis uses two types of enzymes simultaneously: endoglucanase I (EG1) and cellobiohydrolase I (CBH1), to break the cellulose chains into sugar in the form of cellobiose or glucose. We studied a currently proposed kinetic model for enzymatic hydrolysis of cellulose that uses the population balance equation. The model describes the changes in the cellulose chain length distribution. The complexity of the model makes finding the analytical solution difficult. Therefore, we split the full model into two cases of individual enzyme hydrolysis action and perform mathematical analysis of a single pure enzyme of both cases. The approximate solutions for both cases were derived by employing the asymptotic analysis method. The integrodifferential equation in the first case is solved using Laplace transform. Some significant characteristics are captured. The higher the rate of exposure of cellulose substrates to enzymes, the higher the number of cellulose chains generated from the breakage process. And also, the rate coefficient for CBH1 to locate and thread a reducing end of a cellulose chain is a key factor in bioconversion. WIT Press Al-Kayiem, H. H. Brebbia, C. A. 2015 Book Section PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/8046/1/fist-2014-jamil-Mathematical_analysis.pdf N., Mohd Jamil (2015) Mathematical Analysis of a Kinetic Model for Enzymatic Cellulose Hydrolysis. In: Energy and Sustainability V. WIT Press, pp. 499-510. ISBN 978-1-78466-095-6 http://dx.doi.org/10.2495/ESUS140431 DOI: 10.2495/ESUS140431
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics N., Mohd Jamil Mathematical Analysis of a Kinetic Model for Enzymatic Cellulose Hydrolysis
description	Biofuel production such as ethanol from lignocellulosic biomass consists of three fundamental processes: pretreatment, enzymatic hydrolysis, and fermentation. Enzymatic hydrolysis uses two types of enzymes simultaneously: endoglucanase I (EG1) and cellobiohydrolase I (CBH1), to break the cellulose chains into sugar in the form of cellobiose or glucose. We studied a currently proposed kinetic model for enzymatic hydrolysis of cellulose that uses the population balance equation. The model describes the changes in the cellulose chain length distribution. The complexity of the model makes finding the analytical solution difficult. Therefore, we split the full model into two cases of individual enzyme hydrolysis action and perform mathematical analysis of a single pure enzyme of both cases. The approximate solutions for both cases were derived by employing the asymptotic analysis method. The integrodifferential equation in the first case is solved using Laplace transform. Some significant characteristics are captured. The higher the rate of exposure of cellulose substrates to enzymes, the higher the number of cellulose chains generated from the breakage process. And also, the rate coefficient for CBH1 to locate and thread a reducing end of a cellulose chain is a key factor in bioconversion.
author2	Al-Kayiem, H. H.
author_facet	Al-Kayiem, H. H. N., Mohd Jamil
format	Book Section
author	N., Mohd Jamil
author_sort	N., Mohd Jamil
title	Mathematical Analysis of a Kinetic Model for Enzymatic Cellulose Hydrolysis
title_short	Mathematical Analysis of a Kinetic Model for Enzymatic Cellulose Hydrolysis
title_full	Mathematical Analysis of a Kinetic Model for Enzymatic Cellulose Hydrolysis
title_fullStr	Mathematical Analysis of a Kinetic Model for Enzymatic Cellulose Hydrolysis
title_full_unstemmed	Mathematical Analysis of a Kinetic Model for Enzymatic Cellulose Hydrolysis
title_sort	mathematical analysis of a kinetic model for enzymatic cellulose hydrolysis
publisher	WIT Press
publishDate	2015
url	http://umpir.ump.edu.my/id/eprint/8046/ http://umpir.ump.edu.my/id/eprint/8046/ http://umpir.ump.edu.my/id/eprint/8046/ http://umpir.ump.edu.my/id/eprint/8046/1/fist-2014-jamil-Mathematical_analysis.pdf
first_indexed	2023-09-18T22:05:18Z
last_indexed	2023-09-18T22:05:18Z
_version_	1777414668421169152

Mathematical Analysis of a Kinetic Model for Enzymatic Cellulose Hydrolysis

Similar Items