一室模型药物吸收计算的概率论法

中国临床药理学与治疗学 ›› 2012, Vol. 17 ›› Issue (1): 59-63.

一室模型药物吸收计算的概率论法

李进文

兰州军区乌鲁木齐总医院药剂科,乌鲁木齐 830000,新疆

收稿日期:2011-08-23 修回日期:2011-11-04 出版日期:2012-01-26 发布日期:2012-02-16
作者简介:李进文,硕士,副主任医师,研究方向:临床药动学与数学药理。Tel: 15109009577 E-mail: yjklb@mail.xj.cninfo.net

Method of probability theory for calculating the absorption rate of drug in one-compartmental model

LI Jin-wen

Department of Pharmacy, Urumqi General Hospital of Lanzhou Military Command, Urumqi 830000, Xinjiang, China

Received:2011-08-23 Revised:2011-11-04 Online:2012-01-26 Published:2012-02-16

摘要/Abstract

摘要： 目的: 从概率论角度为吸收动力学研究提供两种具体方法。方法: 在一室模型时,药物分子从给药部位进入体循环和从体内消除的过程为相互独立的随机过程。将一次血管外给药后的总滞留时间(T_h)视为在给药部位的滞留时间(T_f)与在体内的滞留时间(T_g)之和,T_f与T_g相互独立,且T_h、T_f及T_g均为非负连续型随机变量。根据卷积公式及一室模型特征,得到一室模型药物吸收计算的概率论方法:概率法(A法)与数值反卷积分法(B法)。结果: 概率论方法所需条件与Wagner-Nelson(W-N)法一致。A法所求吸收分数的准确度与W-N法相同。在已知消除速率常数K的准确值时,B法所求吸收分数的准确度低于W-N法,但B法尚可推测出同一药物注射剂型在血管内快速给药后的概率密度函数及相关信息。在K估计值有误差(±10%)时,B法所求吸收分数的准确度略高于W-N法。结论: 概率论方法可用于计算吸收分数及有关概率。

关键词: 药物动力学, 一室模型, 吸收动力学, 概率论, 概率, 随机向量, 卷积-反卷积, 概率密度函数, 分布函数

Abstract: AIM: Based on probability theory, two concrete methods for absorption kinetics were proposed in one-compartmental model.METHODS: After an extravascular administration of drug, total resident time (T_h) was regarded as sum of the resident time in site of administration (T_f) and the resident time in body (T_g). Not only are T_f and Tg independent each other, T_f, T_g and T_h are nonnegative, continuous random variables also. According to convolution formula and characterization of one-compartmental model (exponential distribution), methods of probability theory for calculating the absorption rate of drug were obtained. These methods were composed of probability method (A approach) and numerical deconvolution method (B approach).RESULTS: The essential conditions of method of probability theory were in accordance with that of Wagner-Nelson (W-N) formula. The accuracy of A approach was identical with that of W-N formula. As long as the accurate value of first-order elimination rate constant (K) can be estimated, the accuracy of B approach was inferior to that of W-N formula. In case K value with relative error (±10%) was calculated, the accuracy of B approach was slightly superior to that of W-N formula.CONCLUSION: Method of probability theory can be suggested to estimate the percentage of drug absorbed and the concerned probability.

Key words: Pharmacokinetics, One-compartmental model, Absorption kinetics, Probability theory, Random vector, Numerical deconvolution, Exponential distribution, Probability density function, Distribution function

中图分类号:

R969

李进文. 一室模型药物吸收计算的概率论法[J]. 中国临床药理学与治疗学, 2012, 17(1): 59-63.

LI Jin-wen. Method of probability theory for calculating the absorption rate of drug in one-compartmental model[J]. Chinese Journal of Clinical Pharmacology and Therapeutics, 2012, 17(1): 59-63.

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