Mathematical Model for Bio-directional Diffusion of Reactants and Products in the Enzymatic Reaction of Glucose in a Spherical Matrix
Applied and Computational Mathematics
Volume 6, Issue 2, April 2017, Pages: 111-128
Received: Mar. 15, 2017; Accepted: Mar. 28, 2017; Published: Apr. 27, 2017
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K. Saranya, Thiagarajar College of Engineering, Madurai, India
V. Mohan, Thiagarajar College of Engineering, Madurai, India
L. Rajendran, Department of Mathematics, Sethu Institute of Technology, Kariapatti, India
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In this paper the theoretical model of glucose–oxidaise loaded in chitosan-aliginate microsphere and hydrogen peroxide production is discussed. The glucose and oxygen in the medium diffuse into the microsphere and react, as a catalyst by glucose oxidase, to produce gluconic acid and hydrogen peroxide. The model involves the system of nonlinear nonsteady-state reaction-diffusion equations. Analytical expressions for the concentrations of glucose, oxygen, gluconic acid and hydrogen peroxide are derived from these equations using homotopy perturbation and the reduction of order method. A comparison of the analytical approximation and numerical simulation is also presented. An agreement between analytical expressions and numerical results is observed. The effect of various parameters (glucose concentration in the external solution, particle size, enzyme loading and Michaelis constant etc.) on the concentration of gluconic acid and hydrogen peroxide release is discussed. Sensitivity analysis of parameters is also discussed.
Mathematical Modeling, Enzyme–Encapsulated Polymer, Microspheres, Hydrogen Peroxide Generation, Release Kinetics
To cite this article
K. Saranya, V. Mohan, L. Rajendran, Mathematical Model for Bio-directional Diffusion of Reactants and Products in the Enzymatic Reaction of Glucose in a Spherical Matrix, Applied and Computational Mathematics. Vol. 6, No. 2, 2017, pp. 111-128. doi: 10.11648/j.acm.20170602.16
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