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中国临床药理学与治疗学 ›› 2005, Vol. 10 ›› Issue (10): 1198-1200.

• 设计·统计·方法 • 上一篇    

一种米氏消除药物药代动力学参数Km和Vm的优化方法

苏银法   

  1. 温州市第二人民医院药剂科, 温州 325000, 浙江
  • 收稿日期:2005-06-09 修回日期:2005-09-26 发布日期:2020-11-23
  • 通讯作者: 苏银法,男,主任药师,研究方向:药代动力学和数学药理学。Tel:0577-88070828 E-mail:suyinfa@yahoo.com.cn

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

SU Yin-fa   

  1. Department of Pharmacy, the Second Hospitad of Wenzhou, Wenzhou 325000, Zhejiang, China
  • Received:2005-06-09 Revised:2005-09-26 Published:2020-11-23

摘要: 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[$\sum$(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HanesWCX>lf法和ALR法。

关键词: 药代动力学, Runge-Kutta算法, 参数, Excel软件, 规划求解

Abstract: As the fitting value of Michaelis-Menten pharmacokinetic parameters Km and Vm of accurate linearre gress (AIR) 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 alorithm with program solution in Excel software (RK-PS was used to minimum weighting residual square sum [$\sum$(c-c *) 2/c] of concentration. The primary value of parameters was optimized. The RK-PS method was better than ALR method and improved Hanes-woolf method intwo examples.

Key words: pharmacokinetics, Runge-kutta algo-rithm, parameter, Excel software, program solution

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