Mathematical foundations of the isobolographic method

V. G. Panov

Sibirskij žurnal industrialʹnoj matematiki, Tome 27 (2024) no. 4, pp. 84-98

Résumé

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

Détail

Keywords: combined (joint) action of factors, isobole, dose—response function, zero interaction, superadditivity, subadditivity, commutative diagram.

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