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Michaelis—Menten兼有一级消除动力学模型平均稳态时的一些特性
引用本文:韩可勤,蒋友,黄圣凯.Michaelis—Menten兼有一级消除动力学模型平均稳态时的一些特性[J].中国药科大学学报,1987(2):104-108.
作者姓名:韩可勤  蒋友  黄圣凯
作者单位:中国药科大学数学教研室 (韩可勤,蒋友),中国药科大学药理学教研室(黄圣凯)
摘    要:本文将Rowland等人的二房室模型中的消除过程扩展成米氏兼一级消除过程。据此,推导出达到稳态浓度的时间、血药浓度-时间曲线下面积和生物利用度的公式;进而得到平均清除率和剂量间的关系以及剂量与平均清除率和血浆浓度呈线性关系的结论。

关 键 词:药代动力学  米氏消除动力学  稳态浓度  生物利用度  平均清除率

MATHEMATICS STUDY ON CHARACTERISTICS OF AVERAGE STEADY-STATE FOR DRUGS OBEYING PARALLEL MICHAELIS-MENTEN AND FIRST ORDER KINETICS
Han Keqin,Jiang You and Huang Shengkai.MATHEMATICS STUDY ON CHARACTERISTICS OF AVERAGE STEADY-STATE FOR DRUGS OBEYING PARALLEL MICHAELIS-MENTEN AND FIRST ORDER KINETICS[J].Journal of China Pharmaceutical University,1987(2):104-108.
Authors:Han Keqin  Jiang You and Huang Shengkai
Institution:Han Keqin~1,Jiang You~1 and Huang Shengkai~2 1. Department of Mathematics 2. Department of Pharmacology
Abstract:The Rowland two-compartment model was extended by replacing parallel Michaelis-Menten and first order kinetics from which the equations for the time to reach the steady-state concentration and bioavailability was derived. The relationship between the average clearance and dose was obtained. The steady state concentration in compartment 2, following intravenous and oral administration, was shown to be linear function of maximal velocity of metabolism V_m, Michaelis constant K_m and first order elimination constant K. The dose was a linear function of the average clearance and plasma steadystate concentration.
Keywords:Pharmacokinetics  Michaelis-Menten kinetics  First order elimination kinetics  Average steadystate concentration  Bioavailability  Average clearance
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