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246                                                        The Toxicology of Fishes


                                       1
                                     0.9      A alone
                                     0.8
                                              A + low B
                                     0.7      A + high B
                                    Response  0.6
                                     0.5
                                     0.4
                                     0.3
                                     0.2
                                     0.1
                                       0
                                       0.001       0.01         0.1          1          10
                                                              Dose A
                       FIGURE 5.7 Effect of a low-efficacy ligand on the dose–response relationship for a high-efficacy ligand. Dose–response
                       curves are shown for ligand A alone or with ligand B. The amount of ligand B added is the same at all doses of A within
                       a single curve. At a low concentration of B, B alone evokes no response but antagonizes the action of A. At a higher
                       concentration of B, B alone produces a small response and further antagonizes the action of A.

                        Equations 5.8 and 5.9 make clear that response depends on the concentrations of ligand and receptor
                       as well as the affinity and efficacy constants. This takes us back to the concept expressed in Figure
                       5.2, that the ability of a compound to produce a response depends both on affinity and efficacy. If
                       several compounds vary in their EC   values for a response mediated by the same receptor, it is
                                                    50
                       impossible to know without further information whether the compounds vary in their affinity or efficacy,
                       or both.
                        Ligand-binding experiments are typically more difficult to perform than dose–response studies.
                       Fortunately, it is possible to determine the relative efficacies of two ligands without knowing their
                       receptor binding affinities by treating with combinations of the two. If ligand B has significantly lower
                       efficacy than ligand A, then in combination ligand B would be expected to reduce the effect of ligand
                       A (because it is occupying receptors without activating them). Sample data from this type of experiment
                       are shown in Figure 5.7. A low dose of B, insufficient to elicit a response on its own, nevertheless
                       occupies receptors, thereby requiring more A to produce a response and shifting the dose–response
                       curve to the right. At a higher dose of B, the compound can cause a response on its own, but it also
                       produces a greater inhibition of the response to compound A. If A and B had similar efficacies, the
                       doses would produce additive effects, and adding B would not shift the dose–response curve to the
                       right.
                        This example illustrates the importance of understanding efficacy for effective toxicological risk
                       assessment. Because chemicals usually occur in the environment in complex mixtures, the presence
                       of low-efficacy ligands can actually reduce the risk associated with high-efficacy ligands. Measuring
                       the toxicity of these ligands separately and then summing to estimate the toxicity of the mixture will
                       result in overestimation of the potential toxicity (Walker et al., 1996; Zabel et al., 1995). Thus, mixtures
                       including low-efficacy ligands will violate the additivity assumption in the toxic equivalency factor
                       approach (see Chapter 21). An example of the application of these principles concerning ligand affinity
                       and efficacy and their application in the context of fish toxicology can be found in Hestermann et al.
                       (2000).
                        A special case in which the concepts of affinity, efficacy, and potency are relevant to assessing the
                       risk of mixtures involves the situation in which each of the individual compounds in the mixture is
                       present at a concentration less than that which causes a significant biological effect on its own. Under
                       what conditions might one expect to see a response (“something from nothing”) from such a mixture
                       (Silva et al., 2002)? The concept of concentration addition has been used to predict the effects of such
                       mixtures (Brian et al., 2005; Thorpe et al., 2006). Clearly, however, the response will be influenced by
                       differences in the relative intrinsic efficacies of the compounds. Understanding the interactions of
                       compounds with different intrinsic efficacies remains incomplete; this is an important area of ongoing
                       research.
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