Mathematical Foundations of the Isobolographic Method

More precise definitions of concepts and constructs used in biomedical sciences areproposed to analyze the joint action of factors using isobolograms. Formal definitions of conceptsof zero interaction, scale-equivalent dose–response functions, and zero-interaction manifold aregiven. A general construction is proposed that formalizes the conditions of applicability and thebasic methods for analyzing the combined action using isoboles. Equations of zero-interactionmanifolds are derived both in the case of scale-equivalent and arbitrary dose–response functions.