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...
| Main Authors: | , |
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| Format: | Book Chapter |
| Language: | English |
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IIUM Press
2011
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/20971/ http://irep.iium.edu.my/20971/1/diffusion_reaction_-_C23.pdf |
| _version_ | 1848778702851145728 |
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| 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 |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T15:06:05Z |
| format | Book Chapter |
| id | iium-20971 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:06:05Z |
| publishDate | 2011 |
| publisher | IIUM Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| 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 |
| title | 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_short | 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 |
| topic | TP248.13 Biotechnology |
| url | http://irep.iium.edu.my/20971/ http://irep.iium.edu.my/20971/ http://irep.iium.edu.my/20971/1/diffusion_reaction_-_C23.pdf |