中文摘要：

目的研究并建立新的药物量效关系分析方法。方法以田螺多糖（PCC）、阿可拉定（icartin）抑制癌细胞增殖的量效关系为例,提出保形重心有理插值法。根据插值条件,求出药物量效关系表达式,计算药物半数抑制浓度IC50;求导表达式,研究抑制率随药物浓度变化的快慢程度。结果根据得到量效关系函数表达式计算出PCC与icartin的IC50分别为315.86mg/L和9.24μmol/L;导数图表明PCC浓度在100 mg/L内（icartin浓度在10μmol/L内）,抑制率随浓度变化速度快,药物作用不稳定;PCC浓度大于700 mg/L（icartin浓度大于40μmol/L）,抑制率变化不明显,药效稳定。结论保形重心有理插值法运算简单,准确性高,是一种新的药物量效关系分析方法。

英文摘要：

Objective To study and establish a new method for analyzing dose-effect relationship of drugs. Methods With the doseeffect relationship of polysaccharide of cipangopaludina chinensis（ PCC） and that of icartin for inhibiting tumor cells as examples,the rational interpolation for shape preserving barycentric was established. According to the interpolation conditions,the formula of doseeffect relationship was obtained and IC_（50） was calculated. Derivatives of the formula were found to study the inhibition rate after giving the different concentrations of drugs. Results According to the obtained formula,IV50 of PCC and icartin was 315. 86 mg / L and 9. 24μg /ml,respectively. The inhibition rate changed quickly at the concentration of PCC within 100 mg /L and icartin within 10 μmol /L and the effects were not stable. If the concentration of PCC was more than 700 mg / L or icartin beyond 40 μmol / L,the inhibition rate did not change much and the effects were stable. Conclusion The rational interpolation for shape preserving barycentric has the advantages of simple operation and high accuracy,and it is a new analytical method for the dose-effect relationship of drugs.