酶反应动力学系统的数学分析及其非线性拟合算法

A Mathmatical Analysis of Enzymatic Kinetic System and Algorithm of Nonlinear Least Squars

本文对米氏机理速率方程进行了数学上合理的分析与推导,得到三个简化模式。以第一个模式作为示例,成功地应用了非线性最小二乘法—Marquardt方法对尿素酶催化反应进行了数据拟合计算分析,所得结果k_1,k_2,k_3,米氏常数和最大速率的平均值分别是5.2mM/s,3.5s^(-1),6.2s^(-1),1.89mM和1.23mM/s,和大多数文献的数据相吻合,结果令人满意。

In this paper, three simplified forms of rate equationas called binary substrate- enzyme complex model, substrate model and enzyme model respectively are deduced. The first model has been applied successfully to a nonlinear least squares method based on Marquardt. This method carried outthe simultaneous determination of kinetic parameters by fitting urease-catalytic reaction data. Mean values of estimaed kl,k2,kcat, Michaelis constant and maximum velocity are 5. 2mM -lsee -1,3. 5sec-1,6. 2sec -1,1. 89mM and 1. 23mM. sec-1 respectively. Most of them are the same order of the magnitude as that for urease in literature. Therefore, the three simplified forms of rate equations are approved to bea very useful to grident - type optimization methods nonlinear least squares methods with gradient for kinetic analysis.