Page 151 - The Toxicology of Fishes
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Toxicokinetics in Fishes                                                    131


                                                       C biota  = L biota K C w                 (3.128)
                                                                  ow
                       This equation suggests that the contaminant concentration in the organism can be estimated from the
                       concentration freely dissolved in pore water. Hellou et al. (1995) suggested that K  and K  are not
                                                                                        ow
                                                                                               oc
                       equal but are instead related by a proportionality constant. A modification of Equation 3.128 was derived
                       by Hellou et al. (1995) by assuming that K  = 0.4K  and that the density of sediment is 1.6 kg/L:
                                                        ow
                                                               oc
                                                    BSAF =  L biota ( OC s × 064 )              (3.129)
                                                                      .
                        Assumptions of the EqP theory include concentration-independent uptake and an absence of biotrans-
                       formation or degradation of the contaminant. An implicit assumption of the EqP theory is that the
                       bioavailable concentration in water is the freely dissolved portion; the presence of  DOC does not,
                       therefore, affect equilibrium partitioning. According to EqP theory, the equilibrium level accumulated
                       by an organism is independent of the number and types of exposure routes (e.g., sediment ingestion or
                       pore water exposure).
                        An extensive review of data supporting the EqP theory was given by Di Toro et al. (1991), who
                       concluded that sediment-to-sediment variation in bioavailability (assessed by toxicity) can be reduced
                       by a factor of two or three by application of EqP theory and that particle size effects are minimal. Using
                       the principles of EqP theory, the U.S. Environmental Protection Agency has developed procedures to
                       derive equilibrium partitioning sediment benchmarks (ESBs) for the protection of benthic organisms
                       from adverse effects due to nonionic organic compounds (U.S. EPA, 2003).

                       Kinetic Models for Chemical Accumulation from Sediment
                       Kinetic models of contaminant bioaccumulation from sediment have been primarily developed for benthic
                       invertebrates, including amphipods, insects, and mollusks (Lee, 1992). The simplest model is:
                                                         BAF =  k k el                          (3.130)
                                                                s

                       where k  is the sediment uptake constant (g sediment/[g tissue × time]), expressed as a clearance term,
                             s
                       and k  is the elimination rate constant (1/time). This model is analogous to that given previously (Equation
                           el
                       3.124) to describe chemical bioconcentration from water. According to the model, sediment BAFs are
                       independent of the chemical concentration in sediment but increase with any factor that increases the
                       uptake rate constant or decreases the elimination rate constant.

                       Food Web Models of Bioaccumulation in a Sediment–Water System
                       Food web bioaccumulation models describe the contaminant mass balance in biota that comprise an
                       aquatic food web (Thomann et al., 1992b). Contaminant concentrations in biota are calculated using
                       mathematical equations that describe the dominant uptake and elimination processes. These processes
                       may include equilibrium partitioning (e.g., sediments to benthos, water to plankton), chemical uptake
                       from water, ingestion of contaminated food, growth, and excretion. Contaminant concentrations in source
                       compartments (water and sediments) are generally assumed to have a homogeneous distribution and to
                       be in steady-state equilibrium with biota comprising the lowest level of the food web.
                        Food web models are particularly useful for compounds that bioaccumulate in plankton and benthic
                       invertebrates and then biomagnify in fish through successive trophic transfers. These models are used
                       extensively to estimate BAFs, BSAFs, and BMFs and to determine the relative importance of benthic
                       (sediment) and pelagic (water) contaminant sources. In a regulatory setting, these models can be used
                       to characterize a contaminated site and evaluate various remedial options. The utility of this approach
                       is limited, however, by the need to incorporate a large number of parameters, many with high levels of
                       uncertainty. Model parameters typically include body size, temperature, feeding rate, prey selection,
                       lipid content, and dietary bioavailability (absorption efficiency). The proportion of time each trophic
                       group feeds within the contaminated food web may be an additional source of variability and uncertainty.
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