Premium
A Response‐Additive Model for Analyzing Mixtures of Two Chemicals in the Salmonella Reversion Assay
Author(s) -
Chen James J.,
Heflich Robert H.,
Hass Bruce S.
Publication year - 1989
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710310416
Subject(s) - reversion , additive function , salmonella , pyrene , chemistry , toxicology , biological system , mathematics , biology , biochemistry , organic chemistry , genetics , bacteria , mathematical analysis , gene , phenotype
Abstract A statistical model is proposed for analyzing the mutagenic responses produced by mixtures of two chemicals in the Salmonella reversion assay. This model is based on the simplex‐lattice design for mixtures with the total concentration fixed. The dose‐response relationship is expressed as a function of both the proportions of the two chemicals and the total concentration of the chemicals in the mixture. If the joint action of two chemicals can be predicted by response‐additivity, then the response of the mixture at the total concentration T can be represented by the weighted average of the responses produced by the individual chemicals at the same concentration T with the weights for individual responses being equal to the proportions of the chemicals in the mixture. Two non‐additive models, synergism and antagonism, are discussed. An example is illustrated by analyzing the joint mutagenic effects of 1‐nitrobenzo(a)pyrene (1‐NBP), and 3‐NBP in the Salmonella reversion assay.