Mathematical Derivation of Concentration Addition, Independent Action and Effect Summation Models

Hui Lin Ge; Shu Shen Liu; Bing Xia Su; Zhi Xu

doi:10.4028/www.scientific.net/AMM.361-363.1054

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 361-363Mathematical Derivation of Concentration Addition,...

Mathematical Derivation of Concentration Addition, Independent Action and Effect Summation Models

Abstract:

The assessment of the combined effects of substances is usually based on concentration addition (CA), independent action (IA) or effect summation (ES) models. Both concepts are founded on different modes of actions of substances, but the knowledge about their relationship is rare. In this paper, we derived a series of inequalities for CA, IA and ES models, and proposed two novel models i.e., ES with the exponent e (ESE) model and ES with the power of the number of components n (ESN) model to evaluate the mixture effect. Our results may have certain significance in mixture risk assessment practices.

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Periodical:

Applied Mechanics and Materials (Volumes 361-363)

Pages:

1054-1057

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.361-363.1054

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Online since:

August 2013

Authors:

Hui Lin Ge, Shu Shen Liu, Bing Xia Su, Zhi Xu

Keywords:

Concentration Addition, Effect Summation, Independent Action, Mixture Toxicity

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