基于Copula函数的中药有效成分群谱效分析  

The Effective Components Analysis in Traditional Chinese Medicine Based on Copula

作　　者：李智慧[1,2] 陆涛[1,2,3] 杨中林[1,4] 黄园[1,2] 陶禹希[1,2] 言方荣[1,2] 

机构地区：[1]中国药科大学天然药物活性物质与功能国家重点实验室,210009 [2]中国药科大学理学院数学教研室 [3]中国药科大学分子设计与药物发现实验室 [4]中国药科大学中药学院

出　　处：《中国卫生统计》2013年第5期650-653,共4页Chinese Journal of Health Statistics

基　　金：中央高校专项业务经费(JKQ2011032;JKPZ2013015);国家自然科学基金重点项目(NSFC 81130068)

摘　　要：目的通过构建适合的二元Copula函数模型,对中药有效成分群指纹图谱与药物活性进行分析,探索简单易行的中药质量控制方法。方法本文首先分别模拟分析二元Copula函数和二元正态分布对中药有效成分群谱效关系的拟合情况,然后选取合适的Copula函数模型分析18批次怀牛膝药材指纹图谱与成骨细胞增殖活性的相关关系,最后利用选择的Copula函数模型对中药怀牛膝进行质量判别。结果五种常见的Copula函数中,二元单参数Gumbel Copula函数对所研究的中药怀牛膝有效成分群谱效关系有较好的拟合效果,其相关系数τ=0.5547,ρs=0.7422,λup=0.6384,λlo=0。结果表明此函数上尾部呈现出较强的相关性而下尾部渐近独立,即质量好的中药其细胞增值活性也较强,质量差的对细胞药效影响则不显著。结论 Copula函数能够用于分析中药有效成分群谱效关系,尤其对尾部相关性的描述为质量辨别提供了新方法,为中药谱效关系研究提出新思路。Objective We analyze the activity of the effective component group by constructing suitable binary Copula model, and then get a simple and convenient method to control the traditional Chinese medi-cine quality. Methods First, simulations on Copula models and the bina- ry normal functions are taken respectively to fit the dose-response relation- ship. Second,Achyranthes bidentata BI. from 18 batches are chosen for study. The correlation analysis between the HPLC fingerprints of samples and proliferation activity of osteoblasts are carded out with suitable bivariate Copula function model. Results Gumbel Copula function is the most suitable model for Achyranthes bidentata BL spectrum-response relation- ship. It has the correlation coefficientsτ=0.5547,ρs=0.7422,λup=0.6384andλlo=0. It is a strong link in the upper tail,but asymptotic inde- pendence in the lower tail. That is to say that the good quality traditional Chinese medicine has stronger cell proliferation activity, however, the poor quality ones has insignificant effect. Conclusion Copula function can be used to analyze the relationship between spectrum and activity of traditional Chinese medicine active ingredients group, especially the tail dependence and drug activity. It provides a new method for TCM quality discrimina- tion, and puts forward new ideas for TCM spectrum activity relationship re- search.

关 键 词：COPULA 中药 有效成分群 谱效分析 质量控制 

分 类 号：R286[医药卫生—中药学]