Estimating the Parameters of the Operational Model of Pharmacological Agonism

Attila Frigyesi

Centre for Mathematical Sciences
Mathematical Statistics
Lund Institute of Technology,
Lund University,

ISSN 1403-9338
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 dose-response curves. The parameters can be estimated using pairs of dose-response curves (usually treatment and control) sharing some parameters. Confidence bands for the estimators are developed. In the case of multiple dose-response curve pairs one can employ a nonlinear mixed effects model to allow for inter-individual 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:
Dose-response curves, concentration-response curves, operational model of agonism, confidence interval, mixed effects.