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Unprecedented homotopy perturbation method for solving nonlinear equations in the enzymatic reaction of glucose in a spherical matrix.

Saranya, K.; Mohan, V.; Kizek, R.; Fernandez, C.; Rajendran, L.

Authors

K. Saranya

V. Mohan

R. Kizek

L. Rajendran



Abstract

The theory of glucose-responsive composite membranes for the planar diffusion and reaction process is extended to a microsphere membrane. The theoretical model of glucose oxidation and hydrogen peroxide production in the chitosan-aliginate microsphere has been discussed in this manuscript for the first time. We have successfully reported an analytical derived methodology utilizing homotopy perturbation to perform the numerical simulation. The influence and sensitive analysis of various parameters on the concentrations of gluconic acid and hydrogen peroxide are also discussed. The theoretical results enable to predict and optimize the performance of enzyme kinetics.

Citation

SARANYA, K., MOHAN, V., KIZEK, R., FERNANDEZ, C. and RAJENDRAN, L. 2018. Unprecedented homotopy perturbation method for solving nonlinear equations in the enzymatic reaction of glucose in a spherical matrix. Bioprocess and biosystems engineering [online], 41(2), pages 281-294. Available from: https://doi.org/10.1007/s00449-017-1865-0

Journal Article Type Article
Acceptance Date Nov 4, 2017
Online Publication Date Nov 24, 2017
Publication Date Feb 28, 2018
Deposit Date Feb 2, 2018
Publicly Available Date Nov 25, 2018
Journal Bioprocess and biosystems engineering
Print ISSN 1615-7591
Electronic ISSN 1615-7605
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 41
Issue 2
Pages 281-294
DOI https://doi.org/10.1007/s00449-017-1865-0
Keywords Enzyme encapsulated polymer microspheres; Enzyme reaction mechanism; Mathematical modelling; New approaches of homotopy perturbation method
Public URL http://hdl.handle.net/10059/2709