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22     SECTION I  Basic Principles


                             A  1.0                                   B  1.0


                                                            E max                                    B max
                              Drug effect (E)  0.5                     Receptor-bound drug (B)  0.5





                                              EC 50                                    K d


                                         Drug concentration (C)                  Drug concentration (C)
                 FIGURE 2–1  Relations between drug concentration and drug effect (A) or receptor-bound drug (B). The drug concentrations at which
                 effect or receptor occupancy is half-maximal are denoted by EC 50  and K d , respectively.



                 transformation is  convenient  because  it  expands  the scale  of   Receptor-Effector Coupling & Spare
                 the concentration axis at low concentrations (where the effect   Receptors
                 is changing rapidly) and compresses it at high concentrations   When an agonist occupies a receptor, conformational changes
                 (where the effect is changing slowly), but otherwise has no bio-  occur in the receptor protein that represent the fundamental basis
                 logic or pharmacologic significance.
                                                                     of receptor activation and the first of often many steps required
                                                                     to  produce  a  pharmacologic  response. The  overall  transduction
                                                                     process that links drug occupancy of receptors and pharmacologic
                                                                     response is called coupling. The relative efficiency of occupancy-
                                                                     response coupling is determined, in part, at the receptor itself; full
                                                                     agonists tend to shift the conformational equilibrium of receptors
                                                                     more strongly than partial agonists (described in the text that fol-
                              A          B          C                lows). Coupling is also determined by “downstream” biochemical
                                                                     events that transduce receptor occupancy into cellular response.
                  Agonist effect  0.5                                tionship between drug occupancy and response can be simple
                                                          D
                                                                     For some receptors, such as ligand-gated ion channels, the rela-
                                                                     because the ion current produced by a drug is often directly pro-
                                                                     portional to the number of receptors (ion channels) bound. For
                                                                     other receptors, such as those linked to enzymatic signal transduc-
                                                             E
                                                                     tion cascades, the occupancy-response relationship is often more
                                                                     complex because the biologic response reaches a maximum before
                                                                     full receptor occupancy is achieved.
                                                                        Many factors can contribute to nonlinear occupancy-response
                                                                     coupling, and often these factors are only partially understood. A
                         EC  (A)    EC  (B)  EC  (C) EC  (D,E)    K d
                                      50
                           50
                                                    50
                                              50
                                                                     useful concept for thinking about this is that of receptor reserve
                              Agonist concentration (C) (log scale)
                                                                     or spare receptors. Receptors are said to be “spare” for a given
                 FIGURE 2–2  Logarithmic transformation of the dose axis and   pharmacologic response if it is possible to elicit a maximal bio-
                 experimental demonstration of spare receptors, using different   logic response at a concentration of agonist that does not result in
                 concentrations of an irreversible antagonist. Curve A shows ago-  occupancy of all of the available receptors. Experimentally, spare
                 nist response in the absence of antagonist. After treatment with a   receptors may be demonstrated by using irreversible antagonists
                 low concentration of antagonist (curve B), the curve is shifted to   to prevent binding of agonist to a proportion of available recep-
                 the right. Maximal responsiveness is preserved, however, because   tors and showing that high concentrations of agonist can still
                 the remaining available receptors are still in excess of the number   produce  an  undiminished  maximal  response  (Figure  2–2).  For
                 required. In curve C, produced after treatment with a larger concen-  example, the same maximal inotropic response of heart muscle to
                 tration of antagonist, the available receptors are no longer “spare”;   catecholamines can be elicited even when 90% of β adrenoceptors
                 instead, they are just sufficient to mediate an undiminished maximal
                 response. Still higher concentrations of antagonist (curves D and E)   to which they bind are occupied by a quasi-irreversible antagonist.
                 reduce the number of available receptors to the point that maximal   Accordingly, myocardial cells are said to contain a large proportion
                 response is diminished. The apparent EC 50  of the agonist in curves D   of spare β adrenoceptors.
                 and E may approximate the K d  that characterizes the binding affinity   What accounts for the phenomenon of spare receptors? In
                 of the agonist for the receptor.                    some cases, receptors may be simply spare in number relative to
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