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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


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.

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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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