Estimating the Parameters of the Operational Model of Pharmacological Agonism
Attila Frigyesi
Centre for Mathematical Sciences
Mathematical Statistics
Lund Institute of Technology,
Lund University,
2003
ISSN 14039338

Abstract:

The aim of this work is practical. We show that the parameters of the widely
used operational model of pharmacological agonism are impossible to estimate
from single doseresponse curves. The parameters can be estimated using pairs
of doseresponse curves (usually treatment and control) sharing some parameters.
Confidence bands for the estimators are developed. In the case of multiple
doseresponse curve pairs one can employ a nonlinear mixed effects model
to allow for interindividual variation. The point estimates and the confidence
intervals thus obtained are similar to the more naive construction based
on mean and standard errors of parameter estimates. To test for difference
of certain parameters between treatment and control we employ a permutation
test.




Key words:

Doseresponse curves, concentrationresponse curves, operational model of
agonism, confidence interval, mixed effects.
