Panov Vladimir G, Katsnelson Boris A, Varaksin Anatoly N, Privalova Larisa I, Kireyeva Ekaterina P, Sutunkova Marina P, Valamina Irene E, Beresneva Olga Yu
Institute of Industrial Ecology, the Urals Branch of the Russian Academy of Sciences, 20 Sofia Kovalevskaya Str., 620990 Ekaterinburg, Russia.
Medical Research Center for Prophylaxis and Health Protection in Industrial Workers, 30 Popov Str., 620014 Ekaterinburg, Russia.
Toxicol Rep. 2015 Feb 10;2:297-307. doi: 10.1016/j.toxrep.2015.02.002. eCollection 2015.
In this article, we check and develop further some postulates of the theory and mathematical modeling of combined toxic effect that we proposed earlier [1]. To this end, we have analyzed the results of an experiment on rats exposed during 6 weeks to repeated intraperitoneal injections of lead acetate, sodium fluoride or both. The development of intoxication was estimated quantitatively with 54 functional, biochemical and morphometric indices. For mathematical description of the effect that lead and fluorine doses produced alone or in combination, we used a response surface regression model containing linear and cross terms (hyperbolic paraboloid). It is shown that the combination of lead and fluoride features the same 10 types of combined effect that we found previously for the lead and cadmium combination. Special attention is given to indices on which lead and fluorine produce an opposite effect.
在本文中，我们检验并进一步拓展了我们之前提出的[1]联合毒性效应理论及数学模型的一些假设。为此，我们分析了一项对大鼠进行的实验结果，该实验中大鼠连续6周接受腹腔注射醋酸铅、氟化钠或两者混合物。用54项功能、生化和形态计量指标对中毒的发展进行了定量评估。为了对铅和氟单独或联合产生的效应进行数学描述，我们使用了一个包含线性项和交叉项（双曲抛物面）的响应面回归模型。结果表明，铅和氟的组合具有与我们之前发现的铅和镉组合相同的10种联合效应类型。特别关注了铅和氟产生相反效应的指标。
