Abstract

Analysis of the hysteresis of the enzyme-substrate due to enzyme flow calorimetry is presented based on the mathematical modeling of an immobilized enzyme using kinetic and diffusion parameters. The model is represented by ordinary differential equations containing a nonlinear term representing the substrate inhibition kinetics of the enzymatic reaction. In this paper, analytical expressions of substrate concentration for planar, cylindrical, and spherical particles at steady state condition are derived using a new analytical method. To confirm the validity and accuracy of the proposed method, the results will be compared with those obtained by the well-established homotopy perturbation method and the numerical results obtained by the highly-reputed fourth order Runge-Kutta method. Also, the results of the proposed method will be used to conduct a sensitivity analysis to understand the effect of parameters on concentration profiles.

中文翻译：

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查找固定化酶系统中不同颗粒的底物浓度的分析表达的有效方法

摘要

基于使用动力学和扩散参数的固定化酶的数学建模，介绍了由于酶流动量热法引起的酶底物的滞后分析。该模型由包含非线性项的常微分方程表示，该非线性项代表酶促反应的底物抑制动力学。本文采用一种新的分析方法，推导了稳态条件下平面，圆柱和球形颗粒底物浓度的解析表达式。为了确认该方法的有效性和准确性，将其结果与通过完善的同伦扰动方法获得的结果以及由高声望的四阶Runge-Kutta方法获得的数值结果进行比较。也，