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Solution of non-linear boundary value problems in immobilized glucoamylase kinetics

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DOI: 10.4236/ns.2013.54061    2,930 Downloads   5,015 Views   Citations

ABSTRACT

A mathematical model to describe the enzyme reaction, mass transfer and heat effects in the calorimetric system is discussed. The model is based on non-stationary diffusion Equation containing a nonlinear term related to immobilize liver esterase by flow calorimetry. This paper presents the complex numerical methods (Adomian decomposition method, Homotopy analysis and perturbation method) to solve the non-linear differential Equations that depict the diffusion coupled with a non-linear reaction terms. Approximate analytical expressions for substrate concentration have been derived for all values of parameters α, β and γE. These analytical results are compared with the available numerical results and are found to be in good agreement.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Sevukaperumal, S. , Eswari, A. and Rajendran, L. (2013) Solution of non-linear boundary value problems in immobilized glucoamylase kinetics. Natural Science, 5, 478-494. doi: 10.4236/ns.2013.54061.

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