米氏消除药物静脉给药的药动学方程数值解

A Numerical Method for Plasma Concentration of Drugs Obeying Michaelis-Menten Clearance Kinetics by Bolus Intravenous Administration

目的:获得(一级并行)米氏消除药物静脉注射给药时的血药浓度近似解。方法:根据四阶Runge-Kutta算法,采用Excel软件编写基于药动学参数的程序。结果:输出某周期或稳态任一次给药后的预期血药浓度。结论:方法操作简单,结果可靠,可作为(一级并行)米氏消除药物静脉注射给药时药动学方程的数值解法。

Objective: To establish a numerical method for plasma concentration of drugs obeying parallel first order and Michaelis-Menten clearance kinetics by bolus intravenous administration. Methods: Microsoft Excel was used to write a Microsoft Excel spreadsheet based on the four stage Runge-Kutta algorithm. Results: After inputting the pharmacokinetic parameters(Vm, Km, Vd, k), the Microsoft Excel spreadsheet displayed plasma concentration at mini-interval after the administration. Conclusion: The four stage Runge-Kutta algorithm is a reliable numerical method for plasma concentration of drugs obeying parallel first order and Michaelis-Menten clearance kinetics by intravenous administration.