Theoretical analysis of concentration of lactose hydrolysis in a packed bed reactor using immobilized β-galactosidase

Theoretical analysis of concentration of lactose hydrolysis in a packed bed reactor using immobilized β-galactosidase

A theoretical analysis of concentration of lactose hydrolysis in a packed bed reactor using immobilized β-galactosidase was discussed. The model is based on system of reaction diffusion equations containing a non-linear term related to Michalies-Menten kinetics of enzymatic reaction. In this paper,...

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Main Authors: O.M. Kirthiga, M. Sivasankari, R. Vellaiammal, L. Rajendran
Format: Article
Language:English
Published: Elsevier 2018-12-01
Series:Ain Shams Engineering Journal
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447916301502
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spelling doaj-3af9086315944a9fa1e00eeeb4a7846d2021-06-02T05:19:59ZengElsevierAin Shams Engineering Journal2090-44792018-12-019415071512Theoretical analysis of concentration of lactose hydrolysis in a packed bed reactor using immobilized β-galactosidaseO.M. Kirthiga0M. Sivasankari1R. Vellaiammal2L. Rajendran3Department of Mathematics, Sethu Institute of Technology, Pullor, Kariapatti 625116, IndiaDepartment of Mathematics, Pasumpon Muthuramalinga Thevar College, Usilampatti, 625532, IndiaDepartment of Mathematics, Sethu Institute of Technology, Pullor, Kariapatti 625116, IndiaDepartment of Mathematics, Sethu Institute of Technology, Pullor, Kariapatti 625116, India; Corresponding author.A theoretical analysis of concentration of lactose hydrolysis in a packed bed reactor using immobilized β-galactosidase was discussed. The model is based on system of reaction diffusion equations containing a non-linear term related to Michalies-Menten kinetics of enzymatic reaction. In this paper, we obtained approximate analytical expressions for the concentrations of lactose and galactose for an isothermal reaction occurring under diffusive conditions in a packed bed tubular reactor containing immobilized enzyme using a new approach of homotopy perturbation method. The obtained analytical results were found to be in good agreement with the simulation results. Keywords: Mathematical modeling, Lactose hydrolysis, Immobilized enzyme, Michaelis–Menten kineticshttp://www.sciencedirect.com/science/article/pii/S2090447916301502
collection DOAJ
language English
format Article
sources DOAJ
author O.M. Kirthiga
M. Sivasankari
R. Vellaiammal
L. Rajendran
spellingShingle O.M. Kirthiga
M. Sivasankari
R. Vellaiammal
L. Rajendran
Theoretical analysis of concentration of lactose hydrolysis in a packed bed reactor using immobilized β-galactosidase
Ain Shams Engineering Journal
author_facet O.M. Kirthiga
M. Sivasankari
R. Vellaiammal
L. Rajendran
author_sort O.M. Kirthiga
title Theoretical analysis of concentration of lactose hydrolysis in a packed bed reactor using immobilized β-galactosidase
title_short Theoretical analysis of concentration of lactose hydrolysis in a packed bed reactor using immobilized β-galactosidase
title_full Theoretical analysis of concentration of lactose hydrolysis in a packed bed reactor using immobilized β-galactosidase
title_fullStr Theoretical analysis of concentration of lactose hydrolysis in a packed bed reactor using immobilized β-galactosidase
title_full_unstemmed Theoretical analysis of concentration of lactose hydrolysis in a packed bed reactor using immobilized β-galactosidase
title_sort theoretical analysis of concentration of lactose hydrolysis in a packed bed reactor using immobilized β-galactosidase
publisher Elsevier
series Ain Shams Engineering Journal
issn 2090-4479
publishDate 2018-12-01
description A theoretical analysis of concentration of lactose hydrolysis in a packed bed reactor using immobilized β-galactosidase was discussed. The model is based on system of reaction diffusion equations containing a non-linear term related to Michalies-Menten kinetics of enzymatic reaction. In this paper, we obtained approximate analytical expressions for the concentrations of lactose and galactose for an isothermal reaction occurring under diffusive conditions in a packed bed tubular reactor containing immobilized enzyme using a new approach of homotopy perturbation method. The obtained analytical results were found to be in good agreement with the simulation results. Keywords: Mathematical modeling, Lactose hydrolysis, Immobilized enzyme, Michaelis–Menten kinetics
url http://www.sciencedirect.com/science/article/pii/S2090447916301502
work_keys_str_mv AT omkirthiga theoreticalanalysisofconcentrationoflactosehydrolysisinapackedbedreactorusingimmobilizedbgalactosidase
AT msivasankari theoreticalanalysisofconcentrationoflactosehydrolysisinapackedbedreactorusingimmobilizedbgalactosidase
AT rvellaiammal theoreticalanalysisofconcentrationoflactosehydrolysisinapackedbedreactorusingimmobilizedbgalactosidase
AT lrajendran theoreticalanalysisofconcentrationoflactosehydrolysisinapackedbedreactorusingimmobilizedbgalactosidase
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