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122                                                        The Toxicology of Fishes


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                       using isolated hepatocytes when expressed in comparable units (per 10  cells). Similarly, Worboys et al.
                       (1996a,b) found that CL invitro,int  values for several compounds (expressed as V max /K  on a whole-liver
                                                                                       m
                       basis) calculated using data from liver slices were lower than those obtained using isolated hepatocytes.
                       Moreover, the extent of this difference increased with increasing metabolic activity. These studies suggest
                       that slice metabolism rates are influenced by the rate of chemical diffusion from the culture medium
                       into the center of the slice.
                        Working with rainbow trout, Cravedi et al. (1999) found that isolated hepatocytes were well suited
                       for in vitro studies of biotransformation but in some cases failed to produce metabolites found in vivo
                       in urine and bile. Research with mammals suggests that it is common for chemicals to be transformed
                       by more than one metabolic reaction. Each of these reactions may exhibit saturable kinetics, charac-
                       terized by a different set rate and affinity constants. Under these circumstances, it is possible for one
                       pathway to predominate at one substrate concentration while another predominates at higher or lower
                       concentrations.
                        In several studies with mammals, in vitro metabolic parameters have been evaluated by comparison
                       with in vivo parameters determined using PBTK models. This approach is based on the assumption that
                       a PBTK model is “correct” with respect to all nonmetabolic aspects of parent chemical disposition. The
                       model can then be used to fit in vivo metabolism parameters by simulating the disappearance of parent
                       compound or, less frequently, the appearance of metabolites. Depuration data are generally preferred
                       for this purpose because of the absence of complications associated with chemical uptake and the rapid
                       phase of internal distribution. Not surprisingly, the agreement between in vitro metabolism data and
                       fitted in vivo parameters has been variable (Fiserova-Bergerova, 1995). In addition to limitations of the
                       in vitro systems themselves, substantial metabolism may occur in tissues other than those to which the
                       metabolism was ascribed in the model (and for which in vitro data are available). For this reason, fitted
                       in vivo  parameters are best thought of as  apparent  values representing the summed activities of all
                       relevant enzyme systems and tissues. Law et al. (1991) used K  and V max  data from a trout hepatocyte
                                                                       m
                       system to develop a PBTK model for pyrene. Total pyrene clearance greatly exceeded that predicted by
                       in vitro metabolism, requiring the incorporation of a fitted clearance constant.
                        Metabolic parameters determined from in vivo studies can also be incorporated into PBTK models.
                       Several authors have attempted to characterize in vivo metabolism by measuring products retained by
                       fish or eliminated in bile, urine, feces, and exposure water (Bradbury et al., 1986, 1993; Cravedi et al.,
                       1999; McKim et al., 1986; Stehly and Hayton, 1989a). In practice, however, these measurements are
                       very difficult to make due to low metabolite concentrations and incomplete extraction of samples. One
                       approach to dealing with these problems is to employ a technique called  microdialysis  to measure
                       metabolite concentrations in blood and tissues. McKim et al. (1993) implanted a microdialysis probe
                       into the dorsal aorta of rainbow trout and measured phenol and its major phase II metabolites (phenyl-
                       glucuronide and phenylsulfate) in the blood of fish exposed to phenol in water. More recently, Solem
                       et al. (2003) used a microdialysis probe to deliver a parent compound (phenol) to the liver in rainbow
                       trout and measure the production of phase I metabolic products (hydroquinone and  catechol).  An
                       important advantage of microdialysis sampling method is that dialysate samples are free of protein and
                       can be analyzed without extraction. These experiments provide qualitative information about the identity
                       and relative concentrations of metabolic products and can be performed without the need to expose
                       whole fish. Improved in vivo calibration procedures and a knowledge of chemical concentration gradients
                       around the microdialysis probe are required, however, before this information can be used to estimate
                       metabolic rate constants.


                       Utility of Physiologically Based Fish Models
                       In the true sense of the word, a PBTK model cannot be said to be valid, only that it does or does not
                       reproduce observed kinetics. Confidence in the specification of physiological parameters for a single
                       species is gained if the same set of inputs provides acceptable simulations for several compounds
                       exhibiting diverse partitioning behavior. Similarly, confidence in model structure derives from the ability
                       to simulate the kinetic behavior of the one or more chemicals in several different species by making
                       appropriate changes in physiological inputs.
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