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126                                                        The Toxicology of Fishes


                        As a practical matter, it is important that the extrapolated portion of the AUC be relatively small
                       (ideally, less than 10% of the total AUC). Due to the fact that the extrapolated part is just that, there is
                       some uncertainty in its true value, as the log-linear phase may not continue on the extrapolated line.
                        Calculating the AUMC also involves determination of that part of the total area that lies beyond the
                       last measured plasma concentration. If a log-linear phase is present:

                                                  AUMC tlast−∞ =  tC p last  +  C plast         (3.122)
                                                              last
                                                                  ,
                                                                        ,
                                                        ,
                                                                 z λ     z λ  2
                       and AUMC is then AUMC 0–t,last  + AUMC t,last–∞ . The problem of extrapolation is larger for AUMC than
                       for AUC because much more of the C ,t profile has been defined by the measured concentrations than
                                                    p
                       has been defined by the C ,t profile.
                                           pt
                       Bioconcentration, Bioaccumulation, and Biomagnification
                       In this section, chemical bioconcentration, bioaccumulation, and biomagnification in fish are treated as
                       special topics because of their importance in the context of current regulatory approaches. By convention,
                       the term bioconcentration refers to the accumulation of waterborne chemicals by aquatic animals through
                       nondietary routes (Veith et al., 1979). The importance of bioconcentration as a measure of chemical
                       accumulation by fish has been recognized since the 1960s (Hamelink et al., 1971). By the, 1970s,
                       however, it had become apparent that uptake of very hydrophobic organic compounds by fish within an
                       environmental setting was dominated by the dietary route of exposure (Bruggeman et al., 1981, 1984).
                       The term bioaccumulation refers to the accumulation of chemicals by all possible routes of exposure.
                       As described below, bioconcentration and bioaccumulation are expressed by referencing the chemical
                       concentration in a fish to that in water or sediment. The term  biomagnification  refers to a stepwise
                       increase in chemical concentration in organisms representing successively higher trophic levels, resulting
                       from the ingestion of contaminated organisms at lower trophic levels. Biomagnification is expressed,
                       therefore, by referencing the extent of chemical bioaccumulation in a predator to that of its prey.
                        Processes that control the rate and extent of chemical accumulation in fish were described in earlier
                       sections of this chapter. Thus, uptake directly from water is dependent on factors that control chemical
                       flux across the gills and skin, including the bioavailability of waterborne compounds, limitations on
                       uptake imposed by water and blood flows, and the relative affinity of chemicals for blood, skin, and
                       water. Similarly, the rate of uptake from dietary sources is dependent on the  oral bioavailability of
                       ingested compounds and the extent to which these compounds become  concentrated in prey items.
                       Elimination of parent compounds may occur at the gills, skin, and gut or by secretion into bile or urine.
                        Chemical accumulation may be substantially reduced by biotransformation. In controlled exposures
                       with rainbow trout, Barron et al. (1989) found that measured concentrations of the phthalic acid ester
                       di-2-ethylhexylphthalate were 100 to 1000 times lower than those predicted from chemical hydropho-
                       bicity. Similar findings have been reported for several azaarenes (Southworth et al., 1980) and polycyclic
                       aromatic hydrocarbons (PAHs) (Jonsson et al., 2004). Experimental inhibition of metabolism resulted
                       in an increase in bioconcentration of pentachlorophenol (Stehly and Hayton, 1989a).
                        In field sampling efforts, low levels of bioaccumulation in fish have been found for hydrophobic but
                       easily metabolized PAHs (Varanasi et al., 1989). Lower than expected levels of bioaccumulation for
                       some lower chlorinated dibenzo-p-dioxins and dibenzo-p-furans in field-caught fish were also attributed
                       to metabolism (Opperhuizen and Sijm, 1990). Care is required, however, when interpreting field sampling
                       data because metabolism may occur at multiple sites within a food web, altering the concentration of
                       chemical to which a fish is exposed.
                        In Chapter 14, Mackay and Milford describe a chemical fate and transport model and show how this
                       model can be used to predict chemical concentrations in a water–sediment system. Outputs from such
                       models are often used as inputs to models of chemical bioconcentration and bioaccumulation in fish.
                       Models of bioconcentration and bioaccumulation take different forms, depending on simplifying assump-
                       tions and the need to mechanistically describe controlling processes. In regulatory applications, it is
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