Analytical Expression of Effectiveness Factor for Immobilized Enzymes System with Reversible Michaelis Menten Kinetics

J. Femila Mercy Rani, S. Sevukaperumal, Lakshmanan Rajendran
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引用次数: 2

Abstract

The mathematical model of immobilized enzyme system in porous spherical particle is presented. This model is based on a non-stationary diffusion equation containing a nonlinear term related to Michaelis-Menten kinetics of enzymatic reaction. A general and closed form of an analytical expression pertaining to the substrate concentration profile and effectiveness factor are reported for all possible values of Thiele modules φ andα . However, we have employed New Homotopy Perturbation Method (NHPM) to solve the nonlinear reaction/diffusion equation in immobilized enzymes system. Therefore, analytical results were found to be in an appropriate agreement with simulation result.
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可逆Michaelis Menten动力学固定化酶体系有效因子的解析表达
建立了多孔球形颗粒固定化酶体系的数学模型。该模型基于非平稳扩散方程,其中包含与酶促反应Michaelis-Menten动力学相关的非线性项。对于Thiele模块φ和α的所有可能值,报告了与底物浓度分布和有效因子有关的一般和封闭形式的分析表达式。然而,我们采用新同伦摄动法(NHPM)来求解固定化酶体系中的非线性反应/扩散方程。分析结果与仿真结果吻合较好。
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