摘要
以2种典型的毒理学试验数据为例,利用有理样条插值法,求解参数后将试验数据纳入计算过程,求得有理插值样条表达式,并绘制浓度-抑制率曲线图。将计算出半效浓度(EC_(50))与概率单元法、曲线拟合法等计算结果进行比较。结果表明:有理样条插值法是一种计算EC_(50)的新方法,其基于变形能量最小建立的优化模型,适合于试验数据较少的情形。
With the application of a case involving two typical toxicity data, the paper took the control data into the calculation process, calculated the expression of rational spline interpolation and draw the curve for the concentration- inhibition ratio by rational spline interpolation. The EC50 was compared with the results of the methods of curve-fitting, probit method, etc. The result indicated that the method of rational spline interpolation was a new method to calculate EC50, which established optimal mathematical model based on minimum strain energy, and was suitable for the case of less experimental data.
作者
朱涛
张澜
赵前进
ZHU Tao ZHANG Lan ZHAO Qianjin(Coll of Med , Anhui Univ of Sci ＆ Tech , Huainan 232001, China Coll of Math and Big Date, Anhui Univ of Sci ＆ Tech, Huainan 232001, China)
出处
《扬州大学学报（农业与生命科学版）》
CAS
北大核心
2017年第2期28-31,46,共5页
Journal of Yangzhou University：Agricultural and Life Science Edition
基金
国家自然科学基金资助项目(60973050)
关键词
EC50
有理三次样条插值
保形
曲线拟合
概率单元法
EC50
rational cubic spline interpolation
shape preserving
curve fitting
probit method
