Mixture interaction analysis: a polynomial model for multiple-receptor systems which incorporates the Beidler equation

Abstract
A multiple-receptor model for analysis of mixture interactions is proposed. This model is polynomial, removing the possibility of predicted responses exceeding the maximum response of a system. The Beidler equation for the kinetics of response to single components was incorporated into the polynomial model, providing a model for multiple-receptor systems using the same parameters as for the Beidler single-receptor mixture model. The predictions of the polynomial and the conventional multiple-receptor models are similar only at lower response levels. A mixed model is also proposed which provides for responses to mixtures in which some components compete for the same receptor and other components each bind to independent receptors.