点击显示 收起
作者：陈智勇，刘波，邓杰（成都生物制品研究所 四川成都 610023）
摘要 目的：研究S型剂量效应曲线的累积正态分布函数拟合。方法：构建累积正态分布函数的适当表达形式，对作者实验室所获得的实例数据进行拟合，同时与常用的四参数方程拟合进行比较。结果：两种拟合方法具有高度的一致性。结论：正态分布模型是一种传统的数学模型，在此处的应用为实验数据拟合提供了另一个可能的选择，并为药效学S型剂量效应模型的研究分析提供了另一种思路。特别地，在常用于药效学S型剂量效应曲线拟合的数学模型中，其Hill系数被认为没有任何生理学含义，而累积正态分布函数中的相应参数却有明确的生理学含义，从数学上体现了药理与药效的内在联系。
关键词：剂量效应曲线，累积正态分布，四参数方程，一致性检验。
Fitting Dose-Effect Curve with the Accumulation Normal Distribution
Abstract OBJECTIVE: Study the fitting about S model dose-effect curve with the accumulation normal distribution function. METHODS: Construct proper accumulation normal distribution function form and fit with our experimental data, then compare with the common 4-parameter equation fitting. RESULTS: The two fitting methods show high uniformity. CONCLUSION: Use accumulation normal distribution, a kind of traditional mathematical model, we provide a possibility for fitting experimental data, and also provide another way for pharmacodynamics S model dose-effect analysis. Especially, the Hill coefficient is considered not any physiological meanings in the mathematics model usually used in fitting pharmacodynamics S dose-effect curve, but the analogous parameter in the accumulation normal distribution function has definite physiological meanings, and indicate the relationship between pharmacology and pharmacodynamics.
Keywords dose-effect curve, accumulation normal distribution function, 4-parameter equation, uniformity test