Diffusion-reaction of substrate in immobilized slab biocatalyst for Michaelis-menten kinetics

The mass transfer effect on the overall reaction rate in a biocatalyst with a slab geometry containing an immobilized enzyme or cells has been investigated theoretically; Michaelis-Menten kinetics was studied. Numerical solution is used to solve the diffusion-reaction problem for Michaelis-Menten...

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Main Authors: Jameel, Ahmed Tariq, R Muhamad Fakih, RM Syibli Milasi
Format: Book Chapter
Language:English
Published: IIUM Press 2011
Subjects:
Online Access:http://irep.iium.edu.my/20971/
http://irep.iium.edu.my/20971/
http://irep.iium.edu.my/20971/1/diffusion_reaction_-_C23.pdf
id iium-20971
recordtype eprints
spelling iium-209712012-07-04T02:25:47Z http://irep.iium.edu.my/20971/ Diffusion-reaction of substrate in immobilized slab biocatalyst for Michaelis-menten kinetics Jameel, Ahmed Tariq R Muhamad Fakih, RM Syibli Milasi TP248.13 Biotechnology The mass transfer effect on the overall reaction rate in a biocatalyst with a slab geometry containing an immobilized enzyme or cells has been investigated theoretically; Michaelis-Menten kinetics was studied. Numerical solution is used to solve the diffusion-reaction problem for Michaelis-Menten kinetics. The numerical scheme used was shooting method employing Runge-Kutta fourth order method for the solution of system of ODE-IVP. The numerical solution was validated by comparing with the exact solutions for the zero and first order reactions. A third order polynomial solution to the differential equation is also proposed. The approximate solution shows close agreement with the numerical solution within the range of parameters of practical significance. The concentration profiles within the catalyst slab were obtained as a function of Thiele modulus which in turn was used to evaluate effectiveness factor. IIUM Press 2011 Book Chapter PeerReviewed application/pdf en http://irep.iium.edu.my/20971/1/diffusion_reaction_-_C23.pdf Jameel, Ahmed Tariq and R Muhamad Fakih, RM Syibli Milasi (2011) Diffusion-reaction of substrate in immobilized slab biocatalyst for Michaelis-menten kinetics. In: Current research and development in biotechnology engineering at IIUM. IIUM Press, Kuala Lumpur, pp. 189-195. ISBN 9789674181444 http://rms.research.iium.edu.my/bookstore/default.aspx
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic TP248.13 Biotechnology
spellingShingle TP248.13 Biotechnology
Jameel, Ahmed Tariq
R Muhamad Fakih, RM Syibli Milasi
Diffusion-reaction of substrate in immobilized slab biocatalyst for Michaelis-menten kinetics
description The mass transfer effect on the overall reaction rate in a biocatalyst with a slab geometry containing an immobilized enzyme or cells has been investigated theoretically; Michaelis-Menten kinetics was studied. Numerical solution is used to solve the diffusion-reaction problem for Michaelis-Menten kinetics. The numerical scheme used was shooting method employing Runge-Kutta fourth order method for the solution of system of ODE-IVP. The numerical solution was validated by comparing with the exact solutions for the zero and first order reactions. A third order polynomial solution to the differential equation is also proposed. The approximate solution shows close agreement with the numerical solution within the range of parameters of practical significance. The concentration profiles within the catalyst slab were obtained as a function of Thiele modulus which in turn was used to evaluate effectiveness factor.
format Book Chapter
author Jameel, Ahmed Tariq
R Muhamad Fakih, RM Syibli Milasi
author_facet Jameel, Ahmed Tariq
R Muhamad Fakih, RM Syibli Milasi
author_sort Jameel, Ahmed Tariq
title Diffusion-reaction of substrate in immobilized slab biocatalyst for Michaelis-menten kinetics
title_short Diffusion-reaction of substrate in immobilized slab biocatalyst for Michaelis-menten kinetics
title_full Diffusion-reaction of substrate in immobilized slab biocatalyst for Michaelis-menten kinetics
title_fullStr Diffusion-reaction of substrate in immobilized slab biocatalyst for Michaelis-menten kinetics
title_full_unstemmed Diffusion-reaction of substrate in immobilized slab biocatalyst for Michaelis-menten kinetics
title_sort diffusion-reaction of substrate in immobilized slab biocatalyst for michaelis-menten kinetics
publisher IIUM Press
publishDate 2011
url http://irep.iium.edu.my/20971/
http://irep.iium.edu.my/20971/
http://irep.iium.edu.my/20971/1/diffusion_reaction_-_C23.pdf
first_indexed 2023-09-18T20:31:42Z
last_indexed 2023-09-18T20:31:42Z
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