Allometric scaling is widely used in predicting human clearance (CL) based on animal data. Since prediction errors are commonly observed in the practical application of this approach, various modifications to allometric scaling have been proposed. These modifications include in vitro metabolic data (Lave et al., 1997), correction by either maximum life-span potential (MLP) or brain weight (BrW) (Mahmood and Balian, 1996b), the "rule of exponents" (ROE) (Mahmood and Balian, 1996a), and scaling unbound CL (Feng et al., 2000). Correction by in vitro metabolic data was successful in predicting human CL of 10 extensively metabolized drugs (Lave et al., 1997). Based on a data analysis of 16 drugs, however, Mahmood (2002) concluded that the use of in vitro data obtained from liver microsomes to predict hepatic CL in humans did not provide reliable predictions. In addition, in vitro metabolic corrections cannot be applied to compounds eliminated by excretion. Scaling unbound CL across animal species improved the prediction for certain compounds (Feng et al., 2000); however, it failed to predict well for a few compounds with large vertical allometry such as diazepam and valproate. Recently, Mahmood (2000) suggested that unbound CL cannot be predicted any better than total clearance. Corrections either with MLP or BrW have been shown to be inappropriate if they are used indiscriminately, which led to the idea of ROE. This rule provides selection criteria for use of MLP or BrW, based on the values of the exponents obtained from simple allometry (Mahmood and Balian, 1996a). Although ROE has been shown to improve the prediction significantly compared with simple allometry, this method is still not satisfactory in predicting large vertical allometry. More recent studies (Nagilla and Ward, 2004) found that the corrections using MLP or BrW or the rule of exponents in allometric scaling did not result in significant improvements in predictions of human CL. Furthermore, they proposed that the monkey liver blood flow approach was superior to the rule of exponents. This controversy is currently not resolved (Mahmood, 2005;Nagilla and Ward, 2005).The coefficients (a) of the power function have been considered important in determining the magnitude of CL, because the exponents (b) have been shown to be relatively constant, with a typical value close to 0.75 (Boxenbaum, 1982). Based upon analysis of more than 60 drugs, we have observed that the water-octanol partition coefficient (log P) and the ratio of unbound fraction (f u ) in plasma between rats and humans (Rf u ) may provide simple rules for anticipating the occurrence of large vertical allometry. Based upon these findings, therefore, we attempted to develop a new model for predicting human CL.
Materials and MethodsA literature search was performed to obtain animal data for allometric scaling of systemic CL (CL used in this article refers to systemic CL) and f u ratio in rats and humans. Only data sets including at least three animal species were used for scaling. Coefficien...