Department of Mathematics, The Madura College, Madurai, India.
J Phys Chem A. 2011 May 5;115(17):4299-306. doi: 10.1021/jp200520s. Epub 2011 Apr 11.
A mathematical model of trienzyme biosensor at an internal diffusion limitation for a non-steady-state condition has been developed. The model is based on diffusion equations containing a linear term related to Michaelis-Menten kinetics of the enzymatic reaction. Analytical expressions of concentrations and current of compounds in trienzyme membrane are derived. An excellent agreement with simulation data is noted. When time tends to infinity, the analytical expression of non-steady-state concentration and current approaches the steady-state value, thereby confirming the validity of the mathematical analysis. Furthermore, in this work we employ the complex inversion formula to solve the boundary value problem.
已经为非稳态条件下的内扩散限制三酶生物传感器建立了数学模型。该模型基于包含与酶反应米氏动力学相关的线性项的扩散方程。推导出了三元酶膜中化合物浓度和电流的解析表达式。注意到与模拟数据有极好的一致性。当时间趋于无穷大时，非稳态浓度和电流的解析表达式趋近于稳态值，从而验证了数学分析的有效性。此外，在这项工作中，我们采用复反演公式来求解边值问题。
