E. Agneter et al., THE SLOPE PARAMETER OF CONCENTRATION-RESPONSE CURVES USED AS A TOUCHSTONE FOR THE EXISTENCE OF SPARE RECEPTORS, Naunyn-Schmiedeberg's archives of pharmacology, 356(3), 1997, pp. 283-292
The present work was stimulated by findings of a large reserve of pres
ynaptic alpha(2)-autoreceptors in rat neocortex by different investiga
tors and our own group, using classical models of receptor agonism. Th
e mathematical background of these classical models seems erroneous si
nce the asymmetry that spare receptors introduce into concentration-re
sponse curves is not considered appropriately. This asymmetry leads to
a steepening of curve fits based on the logistic function. Therefore,
the slope parameter c of a logistically fitted concentration-response
curve can be used as a touchstone for the existence of spare receptor
s. Spare receptors induce a c > 1. Concentration-response data of the
alpha(2)-autoreceptor-mediated inhibition of evoked [H-3]-noradrenalin
e release in rat neocortex slices were re-analysed. The estimates of t
he slope parameter c of logistically fitted concentration-response cur
ves obtained after treatment of rats with either vehicle or N-ethoxyca
rbonyl-2-ethoxy-1-2-dihydroquinoline (EEDQ) to achieve an irreversible
inactivation of alpha(2)-autoreceptors, were not compatible with the
existence of a large receptor reserve. A model for nonlinear regressio
n analysis developed under the a priori assumption of spare receptors
confirmed the absence of spare receptors. Evaluation methods which neg
lect the alteration of the geometrical form of concentration-response
curves due to non-proportionality between receptor occupation and rela
tive response do not seem appropriate to quantify spare receptors. The
se methods may detect spare receptors where they do not exist.