Kj. Broadley et al., The ligand-receptor-G-protein ternary complex as a GTP-synthase. Steady-state proton pumping and dose-response relationships for beta-adrenoceptors, J THEOR BIO, 205(2), 2000, pp. 297-320
Steady-state solutions are developed for the rate of G alpha GTP production
in a synthase model of the ligand-receptor-G-protein ternary complex activ
ated by a ligand-receptor proton pumping mechanism. The effective rate, k(3
1), defining the proton transfer, phosphorylation and G alpha.GTP release i
s a controlling rate of the synthase in the presence of a ligand with an ef
ficient mode of signal activation, the ligand-receptor interaction taking p
lace under effectively equilibrium conditions. The composite rate, however,
becomes an amplifying factor in any dose-response relationship. The amplif
ication is a triple product of the rate, k(31), the equilibrium constant as
sociated with the activation of the proton signal, K-act and the fraction o
f agonist conformer transmitting the signal,f*. Where the rate of activatio
n of the proton signal becomes critically inefficient, the rate of activati
on, k(act1) replaces k(31)K(act). A correlation between beta(1)-adrenergic
receptor-stimulated GDP release and adenylate cyclase activation shows that
this correlation is not unique to an-exchange reaction. Within the initiat
ing Tyr-Arg-Tyr receptor proton shuttle mechanism, the position of Arg(r156
)parallel to dictates the high-(R-p) and low-(R-u) ligand-binding affinitie
s. These states are close to R* and R-o of the equilibrium model(De Lean et
al., 1980, J. Biol. Chem. 255, 7108-7117). An increased rate of hydrogen i
on diffusion into a receptor mutant can give rise to constitutive activity
while increased rates of G-protein release and changes in receptor state ba
lance can contribute to the resultant level of action. Constitutive action
will arise from a faster rate of G-protein release alone if proton diffusio
n in the wild-type receptor contributes to a basal level of G-protein activ
ation. Competitive ligand-receptor occupancy for constitutive mutants shows
that, where the rate of G-protein activation from the proportion of ligand
-occupied receptors is less than the equivalent rate that would be generate
d from this fraction by proton diffusion, inverse agonism will occur. Rate-
dependent dose-responses developed for the proposed synthase mechanism give
explicit definition to the operational model for partial agonism (Black &
Leff, 1983, Proc. Roy. Sec. Lend. B 220, 141-162). When comparable ligands
have effectively identical conformational states at the transition state fo
r signal activation, the antagonist component of the binding "in vitro" can
be derived by multiplying the apparent binding constant by(1 - e) where e
is the maximum stimulatory response. This component should be consistent th
roughout the tissues. (C) 2000 Academic Press.