Abstract-New equations which can explain the following characteristic phenomena in the functional antagonism between isoproterenol (ISO) and spasmogens in guinea -pig trachea are proposed: (1) The amplitude of relaxation of the muscle induced by ISO varied depending on the concentration of a spasmogen used (histamine or car bachol). (2) The dose-response curves for the relaxation by ISO shifted to the right in a parallel manner as the concentration of the spasmogen increased, and became station ary at higher concentrations of the spasmogen. (3) The slope of the dose-response curve became steeper with increasing concentrations of the spasmogen.When the saturable uptake process of ISO was taken into consideration, a satisfactory parallel was seen between the theoretical dose-response curves and the present experimental results. where El,,, and EIIB are the individual effects of A and B induced on the receptor system RI and RII, respectively, and En, is the maximum effect possible with the effector system con cerned. In the presence of a certain concentration of the functional antagonist [B] the effect induced by the agonist A is reduced by a constant, the term EIIB/E,,, of Eq. 1. However, Van den Brink pointed out that the over-all picture of experimental functional antagonism (isoproterenol-methacoline on calf trachea) was quite different from that calculated with Eq. 1, and postulated a new model of functional interaction allowing the concept of receptor