一种米氏消除药物药代动力学参数K_m和V_m的优化方法

Optimizing method of Michaelis-Menten pharmacokinetic parameters of bolus intravenous administration

因为改良Hanes-Woolf法和精确线性回归法(ALR法)拟合参数Km和Vm存在一定的误差,本文将改良Hanes-Woolf法和ALR法的计算结果作为参数Km、Vm初值,通过Runge-Kutta算法获得静脉推注给药后血药浓度的数值解,采用Excel规划求解法使血药浓度的加权差值平方和(∑(c- c*)2/c)最小化,从而使参数Km和Vm得到优化(RK-PS法);实例分析表明,RK-PS法的计算结果优于改良Hanes-Woolf法和ALR法.

As the fitting value of Michaelis-Menten pharmacokinetic parameters Km and Vm of accurate linear regress （ALR） or improved Hanes-Woolf method has some deviation, a optimizing method of Km and Vm Was used in this paper. The result of ALR or improved Hanes-Woolf method was taken as the primary value of parameters（Vm and Km ）. The method combined Runge-Kutta algorithm with program solution in Excel software （RK-PS） was used to minimum weighting residual square sum [∑（c- c＊）2/c] of concentration. The primary value of parameters was optimized. The RK-PS method was better than ALR method and improved FIanes-Woolf method in two examples.