| Theoretical relationship between half-maximal drug response and the operational efficacy and affinity of a drug (Black et al. 2010) |  (6) |
| or |
| (7) |
| Anticipated experimental of reference agonist | Since , eq. 6 becomes | Since , eq. 6 becomes |
| (8a) | (8b) |
| Anticipated experimental of a test agonist | | Since , eq. 6 becomes |
| (9a) | (9b) |
| Experimental implementation of operational model to determine affinity | |
| Implementation of the operational model assumes eq. 7 to be valid for experimentally measured values; in other words, |
| (10) |
| Experimental determination of affinity, , of a test agonist | |
| Substituting eqs. 5a and 9a | | Substituting eqs. 5b and 9b |
| | | |
| (11a) | | (11b) |
(6)
(7)
of reference agonist
, eq. 6 becomes
, eq. 6 becomes
(8a)
(8b)
of a test agonist
, eq. 6 becomes
(9a)
(9b)
(10)
, of a test agonist
(11a)
(11b)