山东大学学报(理学版) ›› 2016, Vol. 51 ›› Issue (11): 79-87.doi: 10.6040/j.issn.1671-9352.0.2016.149
刘连新1,何伟平1,刘郁1,金勇2*
LIU Lian-xin1, HE Wei-ping1, LIU Yu1, JIN Yong2*
摘要: 为了研究热力学性质的构效关系,选取了60种白藜芦醇类似物的热力学性质作为分析对象,引入了主量子拓扑指数{0P2,0P4,0P3'}、{∑0P}。通过对比分析,兼顾模型的简洁性,确定{∑0P}为模型的基本自变量。结合正弦级数的特点,引入{sin(k∑0P)}(k=1,2,3…)到模型中期望消除残差。以调整判定系数最大(R2adj)为目标,在控制变量多重共线性并兼顾变量最少的条件下,建立了各热力学性质构效关系模型。结果表明:引入sin(5∑0P)、sin(8∑0P)到模型中,能较好地消除残差,提高模型的预测能力,所有建立的模型的相关系数均大于0.99,甚至达到1。采用交叉验证方法对模型的稳健性进行了检验,并对样本外分子的热力学性质进行了预测,结果表明所建模型具有良好的稳健性和预测能力。
中图分类号:
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