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Organisms are frequently exposed to mixtures of heavy metals because of their persistence in the environment. The mixture toxicity of heavy metals should therefore be evaluated to perform a rational environmental risk assessment for organisms. In this study, we determined the inhibition toxicity of five heavy metals (Cu 2+ , Co 2+ , Zn 2+ , Fe 3+  and Cr 3+ ) and their binary mixtures to  Photobacterium phosphoreum  ( P .  phosphoreum ). We obtained the following results: (1) the order of individual toxicity was Zn 2+ >Cu 2+ >Co 2+ >Cr 3+ >Fe 3+ , and (2) different combined effects (additive, synergistic and antagonistic) were observed in the binary mixtures of heavy metals, with toxicity unit (TU) values ranging from 0.15 to 3.50. To predict the mixture toxicity of heavy metals, we derived the ion characteristic parameters of heavy metal mixtures and explored the ion-characteristic-based quantitative structure–activity relationship (QSAR) model (R 2  = 0.750,  Q  2  = 0.649). The developed QSAR model indicated that the mixture toxicity of heavy metals is related to the change in ionization potential ((ΔIP) mix ), the first hydrolysis constant (log( KOH ) mix ) and the formation constant value (log   K  f   m  i  x).

The mixture toxicity of heavy metals on Photobacterium phosphoreum and its modeling by ion characteristics-based QSAR