The existence of multiple subtypes of kappa opioid receptors in brain and adrenal medulla, has been controversial. We have characterized opioid receptors in frozen membranes from bovine adrenal medulla by use of objective mathematical modeling. [3H]Etorphine, [3H]ethylketocyclazocine (EKC) and [3H][D-Ala2,D-Leu5]enkephalin (DADL) were utilized as labeled ligands. Self- and cross-displacement curves were constructed using the three corresponding unlabeled ligands in the presence or absence of increasing concentrations of DADL. Results indicated: (1) each of the three ligands studied individually showed the presence of heterogeneity of binding sites; (2) sites labeled by etorphine were heterogeneous: 84% of etorphine binding was displaceable by 10(-4) M DADL, while the remaining 16% was DADL non-suppressible; (3) 75% of the binding of EKC was displaceable by DADL while 25% was non-suppressible; (4) mathematical modeling showed the presence of three subtypes of kappa binding sites (a) kappa 1, showing slight selectivity for EKC relative to etorphine; (b) kappa 2, with Kd approximately equal to 1 nM for etorphine, and sufficiently high affinity for DADL (Kd approximately equal to 150 nM) so that it is suppressible by 100 microM DADL; and (c) K3, with no measurable affinity for DADL and a 27-fold selectivity for etorphine relative to EKC. The three subtypes of kappa sites were present at concentrations of 7.4, 75, and 55 fmol/mg protein, respectively. The relative affinities of a series of kappa agonists for the etorphine-binding sites were characterized. The present studies confirm the existence of three subtypes of kappa opioid receptors in bovine adrenal medulla, and indicate the utility of mathematical modeling for characterization of complex receptor systems.