研究双底物酶促反应动力学机制的常用方法是二次作图法.本文针对二次作图法存在的问题提出了一种基于最小二乘拟合的优化算法.该算法利用最小二乘原理对顺序机制和乒乓机制下的双倒数速度方程的常系数进行拟合求解,通过比较两种拟合方程下得到的残差平方和判别酶促反应的动力学机制.通过实例计算证明该优化算法具有可靠性强、计算过程简单的特点,在双底物酶促反应动力学机制判别的准确性方面更具优势.
A common used method to research the kinetics mechanism of double substrates enzymatic reaction is double-reciprocal plots. In this paper, an optimization algorithm based on the last squares fitting principle is proposed to solve the disadvantages in double-reciprocal plots method. In the optimization algorithm, the constant coefficients of the double-reciprocal kinetics equations for both sequential mechanism and ping-pong mechanism are calculated by the last squares fitting. The kinetics mechanism of the enzymatic reaction is distinguished through the comparison of residual sum of squares for the two curve-fitting functions. An example is specified to prove that the optimization algorithm is concise and reliable, and is more accurate in the double substrates enzymatic reaction kinetics mechanism discrimination.