Varaksin Anatoly N, Panov Vladimir G, Katsnelson Boris A, Minigalieva Ilzira A
Institute of Industrial Ecology of Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia.
The Ekaterinburg Medical Research Center for Prophylaxis and Health Protection in Industrial Workers, Ekaterinburg, Russia.
Dose Response. 2018 Dec 5;16(4):1559325818816596. doi: 10.1177/1559325818816596. eCollection 2018 Oct-Dec.
The article considers the problem of characterizing the type of combined action produced by a mixture of toxic substances with the help of nonlinear response functions. Most attention is given to second-order models: the linear model with a cross-term and the quadratic model. General propositions are formulated based on the data on combined toxicity patterns previously obtained by the Ekaterinburg nanotoxicology team in animal experiments and analyzed with the help of the linear model with a cross-term. It is shown now that the quadratic model features these general characteristics in full measure, but interpretation of combined toxicity types based on isobolograms obtained by the quadratic model is more difficult. This suggests that where both models ensure a comparable quality of combined toxicity type identification, it would be enough to use the linear model with a cross-term.
本文探讨了借助非线性响应函数来表征有毒物质混合物产生的联合作用类型的问题。重点关注二阶模型：带有交叉项的线性模型和二次模型。基于叶卡捷琳堡纳米毒理学团队先前在动物实验中获得的联合毒性模式数据，并借助带有交叉项的线性模型进行分析，提出了一般性命题。现已表明，二次模型充分具备这些一般特征，但基于二次模型获得的等效线图来解释联合毒性类型则更为困难。这表明，在两种模型都能确保联合毒性类型识别具有可比质量的情况下，使用带有交叉项的线性模型就足够了。
