A study of long-term toxicity of multiple mixtures with hormetic effects by the characteristic parameter σ2(k∙ECx) and stepwise method

Abstract

A previous study found that the characteristic parameter σ2(k∙ECx) (the concentration ECx and slope k of the concentrationresponse curve (CRC) at the effect x %) can predict the acute combined toxicity of multiple mixtures with S-shaped CRCs. In this paper, the competence of σ2(k∙ECx) to predict the long-term toxicity of multiple mixtures with J-shaped CRCs was explored using the Aliivibrio fischeri as the test organism. The combined toxicity was evaluated by the independent action (IA) model and the effect ratio (ERx) model. The stepwise method was used to divide J-shaped CRC into ML and MR (SL and SR). The results showed that the σ2(k∙ECx) and ERx of each segment was in good agreement with the exponential function. A new type of mixture was added to the original type A and type B, whose rules of interaction were opposite to those of type B (named opposite B, OB). This paper improves the understanding and analysis of the J-shaped CRCs in environmental risk assessment.