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Department of Physical and Metabolic Science, AstraZeneca R&D Charnwood, Loughborough, Leicestershire, United Kingdom
(Received February 14, 2005; accepted May 26, 2005)
| Abstract |
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To date, the more extensive analyses of human clearance predictions have concentrated on P450 substrates, and data have therefore been generated in human liver microsomes (Iwatsubo et al., 1997
; Obach, 1999
; Naritomi et al., 2001
). In general, these studies have been less comprehensive in the range of approaches investigated, with only occasional attention given to chemical class (Obach et al., 1997
). Interestingly, these reports have also assessed the ability to predict human CLh rather than the more fundamental parameter, CLint, as advocated initially (Houston, 1984
; Ito and Houston, 2004
). Some controversy also still exists over use of fuinc, with some laboratories having suggested that fuinc and fub may cancel, negating their inclusion in liver models (Obach et al., 1997
). Recent reports have challenged this assumption (Obach, 1999
; Austin et al., 2002
) and perhaps suggest that consideration of CLh rather than CLint, in vivo may desensitize such analyses, particularly to errors associated with higher enzyme activities (Ito and Houston, 2004
).
The aim of this study was to investigate direct in vitro-in vivo scaling of human in vitro data generated in hepatocytes and microsomes for predicting human clearance in vivo by applying recently described models for estimating fuinc (Austin et al., 2002
, 2005
). To provide a more mechanistic insight, in vitro human CLint data were compiled from recent in-house and published studies, and associated in vivo CLint values were derived from published CLh data. Combining datasets permitted extension of models described in previous studies. In addition, the relative drug binding within blood and in vitro incubation matrices is considered further, with respect to their incorporation into liver models.
| Materials and Methods |
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CLint, ub, in vivo was calculated from values of CLh, the fup, and blood-to-plasma concentration ratio (RB; fraction unbound in blood, fub = fup/RB) reported for each drug according to the well stirred or dispersion liver model (Shibata et al., 2002
). Where values of RB were not provided or readily available, this parameter was assumed to be unity for neutral and basic compounds and 0.55 for acids. The assumptions of the various liver models have been detailed previously (Ito and Houston, 2004
).
Where the same drug had been studied by several laboratories (Tables 4 and 5), individual values for CLh and fub were used to estimate CLint, ub, in vivo, and CLint, in vitro and fuinc were used to project (scaled) CLint, ub, in vivo. The mean values for key parameters were then used for further modeling and statistical analyses. The sources used to derive key parameters are too extensive to be listed here but can be found in the original references cited.
Prediction of the in Vivo Intrinsic Clearance. CLint, in vivo was predicted using SFs for hepatocytes and microsomes to convert the unit of the CLint from µl/min/106 cells or µl/min/mg protein to ml/min/kg using an estimate of human liver hepatocyte content. Hepatocyte content (or hepatocellularity) was routinely 120 x 106 cells/g liver. Some variability was evident in the microsomal protein concentration per gram of liver (4550 mg protein/g liver) and the human liver weight values (15001800 g liver/70 kg) cited, but this was not considered to impact significantly on the conclusions of this study.
Impact of Plasma and in Vitro Binding. In in vitro studies, some drugs bind nonspecifically within the matrix; hence, the kinetic parameters estimated need to be corrected to reflect the unbound drug. Obviously, if fub and fuinc were equivalent, their terms in the equations for liver models would cancel out
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The role of fuinc and fub was investigated using several approaches. First, the human CLint, in vivo values were predicted assuming fuinc to be unity and compared with CLint, in vivo calculated from "deconvolution" of the well stirred model, acknowledging the potential limitations of this model for highly extracted compounds (Ito and Houston, 2004
):
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CLint, in vivo values were also compared without consideration of both fuinc and fub. Finally, CLint, in vivo predictions using fuinc were compared with estimates from clinical pharmacokinetics invoking fub (CLint, ub, in vivo).
Prediction of Hepatic (Blood) Clearance. Using the in vivo intrinsic clearance estimates outlined above, CLh, was calculated according to the well stirred liver model as follows:
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Accuracy of Predictions. Quantitative linear regression analysis was not considered appropriate for the predicted CLh data since it is clearly not homoscedastic; i.e., the error in the y data are not even approximately constant across the full range of the data: the spread in the y data decreases with increasing log(predicted clearance). This behavior is a consequence of the format of the well stirred model, which gradually forces compounds with increasingly high intrinsic clearance toward the same value of predicted clearance, that of hepatic blood flow, Qh.
Quantitative regression analyses were performed, however, for the log (predicted) and log (observed) values for CLint, in vivo to obtain the regression equation, correlation coefficient (r2), and a summary of its statistics (standard deviation, S.D., the F statistic, and the p value). The average fold error (afe) of each prediction method was also calculated to provide a measure of bias with equal value to under- and over-predictions:
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| Results |
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3-fold) for some compounds studied in hepatocytes under similar conditions (diclofenac, imipramine, naloxone, propranolol, and tolbutamide) and microsomes (diazepam, ibuprofen, and tolbutamide). Variability was more significant for other compounds, possibly due to differences in quality of liver samples, established interdonor differences, and incubation conditions, e.g., potential effects of coincubating hepatocytes with serum. This highlights the challenges in compiling datasets from several sources.
A more appropriate transformation of the data for linear regression analysis is to consider CLint, ub, i.e., log(CLint, in vivo, ub), plotted against log(predicted CLint, ub) as shown in Figs. 1 and 2 (D to F), which also provides a substantial dynamic range with which to study in vitro-in vivo comparisons at a detailed, mechanistic level (Ito and Houston, 2004
). These plots show a fairly constant spread in the y data across the full range. Linear regression has been applied to the 3 different scaling models in Fig. 1, D to F, and the resulting statistical parameters are given in Table 6, along with the average fold error of each method. In terms of the statistics of linear regression, the model, which includes both fuinc and fub corrections, provides the best fit to the data as shown by the significantly higher r2 value and lower regression standard deviation (S.D.) compared with the other two models (Table 6). The F statistic and p value of this model are also clearly superior to those of the other two models. The slope of the model including both correction terms (1.08) is close to unity, but the intercept (0.38) reveals a constant bias in the model leading to an approximately 5-fold under-prediction of CLint, ub across the range of compounds. Despite evidence of interlaboratory variability for some data, this model appears largely independent of laboratory and chemical class. In terms of regression statistics, the model utilizing only an fub correction (i.e., omitting fuinc) has the next best performance, with the uncorrected model performing poorly.
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Interestingly, subdividing this dataset into chemical class indicated that the predictions using the model without fub and fuinc corrections were very poor for acidic drugs, in particular: predictions appeared better for basic and neutral compounds. Closer inspection of the ratio between fuinc and fub for each chemical class provided further mechanistic insight (Fig. 3). For the majority of the basic and neutral drugs studied, this ratio was between 1 and 10. However, for some neutral (including the benzodiazepines, diazepam and oxazepam, and the lipophilic calcium channel blocker, felodipine) and lipophilic, basic compounds (for example, mibefradil), the ratio was somewhat larger. By contrast, for acidic drugs, this ratio was much higher on average, reflecting the extensive binding to albumin for many of these compounds in vivo.
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Prediction of CLint, ub from Microsomal Data. Applying this knowledge to the microsomal data again yielded a robust, highly significant relationship between the scaled CLint, ub, in vivo estimate (using both fub and fuinc) and that derived from clinical pharmacokinetic data (r2 = 0.77, p = 1.22 x 1012; Fig. 4). The afe (6.1) for this dataset was very similar to the larger human hepatocyte dataset.
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Further Model Development. For the most extensive hepatocyte dataset, since the fuinc and fub corrected model was highly correlated but with a constant offset, the regression equation was applied to data to evaluate the most precise clearance prediction for test compounds:
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| Discussion |
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To assess various approaches to predicting human in vivo hepatic metabolic clearance, a database has been collated from in-house and literature sources. Hepatocytes appear to be the most appropriate in vitro system to assess hepatic metabolic stability. Studies in the rat have advocated hepatocytes for more accurate prediction of rapid clearance (Houston, 1984
; Houston and Carlile, 1997
), and hepatocytes not only contain P450s and the major phase 2 enzymes but also hepatobiliary transporters, which may modulate concentrations of substrate accessible to drug-metabolizing enzymes (Shitara et al., 2003
; Liu and Pang, 2005
). Advances in cryopreservation technology have recently enabled studies with human hepatocytes to become more routine (Li et al., 1999
; McGinnity et al., 2004
). The present analysis considered primarily in vitro and in vivo CLint estimates, the latter obtained from deconvoluting CLh to generate a wide range of values to allow detailed, mechanistic comparisons. Predictions of the kinetic parameter CLh were also evaluated.
The role of plasma protein binding in clearance prediction has been the subject of some controversy. Whereas the basic tenet of pharmacokinetics states that the unbound drug concentration in the plasma dictates tissue distribution, some reports using microsomes have suggested that in vitro CLint may provide a better estimate of in vivo clearance of total rather than unbound drug (Obach et al., 1997
; Lin et al., 1999
). Presumably, the assumption was that fub and fuinc effectively nullified in the liver model calculation, negating the measurement of either process. However, measurements of in vitro binding have shown that drug binding within these two matrices is not equivalent and hence fuinc should not be ignored, in principle (Obach, 1999
; Austin et al., 2002
, 2005
).
Most models were reasonable for neutral and basic drugs, particularly for CLh, as reported previously (Davis and Riley, 2004
; McGinnity et al., 2004
; Riley and Kenna, 2004
). However, examination of the hepatocyte data indicated the need to consider both fuinc and fub for incubations not conducted in the presence of exogenous protein to include all chemistries. Previous studies have shown that, as for microsomes, fuinc for hepatocytes may be substantial for lipophilic neutral and basic compounds and can be predicted from consideration of charge at physiological pH and lipophilicity (Austin et al., 2005
). Some neutral compounds (e.g., the benzodiazepines diazepam and oxazepam) and lipophilic bases (e.g., mibefradil; Fig. 2) also showed a similar effect, as suggested previously (Riley and Kenna, 2004
). By contrast, hepatocyte binding for most acidic drugs is low compared with their binding to distinct sites on albumin. Inclusion of both fuinc and fub terms resulted in a unified model, the robustness of which was indicated by its ability to translate across both laboratories and chemical classes.
Interestingly, several reports on relatively small numbers of compounds have indicated that data generated from hepatocyte incubations containing exogenous protein (either FCS or serum) may yield more direct estimates of CLint, in vivo and CLh (Lave et al., 1997a
,b
; Shibata et al., 2003). However, the nonphysiological composition of such assays and effects other than those attributable to protein binding (Blanchard et al., 2005
) remain the subject of much controversy and may contribute to some of the variability depicted in Table 4. Furthermore, such methodology poses challenges in terms of determining low CLint values accurately and may necessitate long incubation periods (up to 72 h) with cultured cells, which may incur a (differential) loss of P450 activity.
Previous reports have debated the pros and cons of inclusion of fuinc for data from human liver microsomes; hence, this topic was not analyzed in depth here. Inclusion of both fuinc and fub yielded a highly significant correlation between predicted and observed CLint, ub with a bias or offset similar to that shown in Fig. 1F, as suggested previously for both CLh and CLint (Iwatsubo et al., 1997
; Obach, 1999
; Naritomi et al., 2001
).
A model incorporating in vivo and in vitro data from preclinical and clinical studies has the potential advantage of providing a drug-specific factor that would theoretically correct for any systematic difference between in vitro and in vivo parameters (Naritomi et al., 2001
, 2003
). However, further work using larger databases is required to validate this approach and evaluate whether various "factors" (which may be passive or active in origin) translate routinely across a range of species.
In summary, human in vitro CLint provided accurate predictions of CLint, ub and CLh with more robust models resulting from incorporation of fuinc for both hepatoyctes and microsomes. Using the standard biological SFs alone to scale in vitro CLint to provide in vivo CLint estimates resulted in a systematic under-prediction for data from both hepatocytes and microsomes, an observation consistent with other studies using human tissues. Interestingly, previous analyses of rat predictions from both in vitro systems did not show such a systematic bias (Ito and Houston, 2004
). Although a scientific rationale for this observation is lacking currently for these specific datasets, likely contributors include active transport processes in vivo not reflected adequately in vitro (Liu and Pang, 2005
; Shitara et al., 2005
); incorrect assumptions within the liver models; interindividual variability atypical kinetics, e.g., for CYP3A4 substrates (Houston and Galetin, 2004
); quality of tissue used for hepatocyte preparations; or some extrahepatic metabolism in vivo. Future studies will aim to provide a systematic analysis and mechanistic interpretation, which could then be applied to modify existing scaling strategies further.
| Footnotes |
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ABBREVIATIONS: CLint, intrinsic clearance; SF, scaling factor; P450, cytochrome P450; CLh, hepatic clearance; CLint, in vitro, in vitro intrinsic clearance; CLint, in vivo, in vivo intrinsic clearance; fup, plasma unbound fraction; RB, blood-to-plasma concentration ratio; fuinc, unbound fraction in incubations in vitro; fub, unbound fraction in blood; FCS, fetal calf serum; Qh, hepatic blood flow; afe, average fold error.
Address correspondence to: Robert J. Riley, Department of Physical and Metabolic Science, AstraZeneca R&D Charnwood, Loughborough, Leicestershire, LE11 5RH, U.K. E-mail: rob.riley{at}astrazeneca.com
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