Theoretical expression for transduction coefficient  Division of eq. 1 by eq. 6 and rearrangement of terms gives rise to 

Experimental implementation of operational model to determine transduction coefficient  Implementation of the operational model assumes that above equation is valid for experimentally measured values; in other words, 

Since operational model also assumes hyperbolicity, that is the reference agonist can evoke system maximal response, . 
(12) 
Experimental determination of transduction coefficient of a test agonist ()  Substituting eqs. 3a, 4a, and 9a  Substituting eqs. 3b, 4b, and 9b 
 
(13a)  (13b) 
Experimental determination of transduction coefficient of a test agonist ()  Equation 12 can be rewritten for reference agonist as 
  
(14) 
 Substituting eq. 8a  Substituting eq. 8b 
(15a)  (15b) 
Relative experimental transduction coefficient of test agonist with respect to a reference  Relative transduction coefficient, as defined in Kenakin et al. (2012) 

Substituting eqs. 13a and 15a  Substituting eqs. 13b and 15b 
 
(16a)  (16b) 