In this paper we propose a new equilibrium model of the interactions b
etween receptors, ligands, and G-proteins-the cubic ternary complex (C
TC) model. The CTC model is a generalization of the extended ternary c
omplex model of Samama et al. (1993). It incorporates all the features
of that model but differs in that it also allows G-proteins to bind t
o inactive receptors. The addition of this feature produces a complete
equilibrium description of the three-way interactions between ligand,
receptor, and G-proteins. We show that the standard equilibrium recep
tor-occupancy models of pharmacology are equivalent to the hierarchica
l log-linear models of statistics. Using this equivalence, we derive t
he completeness of the CTC model from both a graphical and a statistic
al perspective. In its simplest instance (one receptor, one G-protein,
and one ligand) the CTC model consists of eight receptor species that
can be graphically visualized as occupying the vertices of a cube. St
atistically, the CTC model is a saturated three-factor log-linear mode
l. Viewed statistically or graphically, other equilibrium binary and t
ernary complex models are subsets of the CTC model. (C) 1996 Academic
Press Limited