New concept of spare receptors and effectors.

The present study provides a new concept of the spare receptor. Model [A]: 1) Several receptors connect with an effector; 2) if an agonist occupies one of the receptors connecting with one effector, the effector fully functions. When the number of receptors connecting with one effector is "m", the relationship between the functional effectors (E) and the concentration of agonists ([a]) is as follows: [formula: see text] where Rt is the total number of receptors and Kd is the agonist dissociation constant from the receptor. Model [B]: 1) Several receptors connect with an effector; 2) only when agonists occupy all of the receptors connecting with one effector, the effector functions. The relationship between E and [a] is as follows: [formula: see text] If m=1, equations (I) and (II) are exactly the same as the Michaelis-Menten equation. If m is larger than 1, the apparent saturation in the effector efficiency becomes larger in Model [A], and smaller in Model [B], respectively. The dissociation of the fractional efficiency of effectors from the fractional binding of agonists to receptors becomes larger as m becomes larger in both models. Further, we propose a variable model, including the concept of agonist-occupancy-dependent stability in the functional conformation change of the effector; only when more than j pieces of receptors connecting with one effector are occupied by agonists, the effector functions (Model [M]). The relationship between E and [a] is as follows: [formula: see text]