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 |
| Published: |
IIUM Press
2011
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| 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 |
| Summary: | 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. |
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