Mechanism-based pharmacodynamic modeling of S(-)-atenolol: estimation of in vivo affinity for the beta1-adrenoceptor with an agonist-antagonist interaction model.

The aim of this study was the development of an agonist-antagonist interaction model to estimate the in vivo affinity of S(-)-atenolol for the beta(1)-adrenoreceptor. Male Wistar-Kyoto (WKY) rats were used to characterize the interaction between the model drugs isoprenaline (to induce tachycardia) and S(-)-atenolol. Blood samples were taken to determine plasma pharmacokinetics. Reduction of isoprenaline-induced tachycardia was used as a pharmacodynamic endpoint. The pharmacokinetic-pharmacodynamic relationship of isoprenaline was first characterized with the operational model of agonism using the literature value for the affinity (K(A)) of isoprenaline (3.2 x 10(-8) M; left atria WKY rats). Resulting estimates for baseline (E(0)), maximal effect (E(max)), and efficacy (tau) were 374 (1.9%), 130 (5.9%), and 247 (33%) beats per minute, respectively. In addition, the interaction between isoprenaline and S(-)-atenolol was characterized using a pharmacodynamic interaction model based on the operational model of agonism that describes the heart rate response based on the affinity of the agonist (K(A)), the affinity of the antagonist (K(B)), the efficacy (tau), the maximal effect (E(max)), the Hill coefficient (n(H)), the concentrations of isoprenaline and atenolol, and the displacement of the endogenous agonist adrenaline. The estimated in vivo affinity (K(B)) of S(-)-atenolol for the beta(1) -receptor was 4.6 x 10(-8) M. The obtained estimate for in vivo affinity of S(-)-atenolol (4.6 x 10(-8) M) is comparable to literature values for the in vitro affinity in functional assays. In conclusion, a meaningful estimate of in vivo affinity for S(-)-atenolol could be obtained using a mechanism-based pharmacodynamic modeling approach.