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Principal Component Analysis of CYP2C9 and CYP3A4 Probe Substrate/Inhibitor Panels Department of Medicinal Chemistry, University of Washington Corresponding Author: Abhinav Nath, Department of Medicinal Chemistry, Box 357610, University of Washington, Seattle, WA 98195-7610, Phone: (206) 543 0237, Fax: (206) 685 3252, e-mail: anath/at/u.washington.edu The publisher's final edited version of this article is available free at Drug Metab Dispos.Abstract Cytochrome P450 (CYP) inhibition often occurs in a strongly substrate- and inhibitor-dependent manner, with a given inhibitor affecting the metabolism of different substrates to differing degrees, and with a given substrate responding differently to different inhibitors. Traditionally, patterns of functional similarity and dissimilarity among substrates and inhibitors have been studied using clustering analysis of pairwise correlation coefficients. Principal component analysis (PCA) is a widely-used statistical technique that identifies the globally most significant independent trends in a set of data. Here, we show that PCA can be usefully applied to study the differential effects on a panel of CYP probe substrates by a panel of inhibitors, using published data on CYP3A4 (Kenworthy et al., 1999) and CYP2C9 (Kumar et al., 2006). PCA can detect functional similarities among substrates and inhibitors that are not readily apparent using pairwise clustering analysis. PCA also allows identification of the functionally typical and atypical substrates that might be used in combination to fully explore the CYP functional landscape. The choice of optimal probe substrates for in vitro inhibition studies of cytochrome P450s (CYPs) – especially relevant to pharmacokinetic predictions and in vivo-in vitro correlation – is complicated by the diverse nature of substrate-inhibitor interactions for some of these enzymes (Kenworthy et al., 1999; Kumar et al., 2006; Foti and Wahlstrom, 2008). A single probe substrate can respond differently to various inhibitors; a single inhibitor can have different effects on a panel of probe substrates. The differential behavior of substrates and inhibitors with drug-metabolizing CYPs is presumably due to their promiscuity and catalytic allosterism (Guengerich, 2001; Atkins, 2006; Nath and Atkins, 2008). Two recent studies provide valuable insight into the varied nature of substrate-inhibitor interactions, and into the patterns of similarity among substrates and inhibitors: Houston and co-workers (Kenworthy et al., 1999) studied the effects of 34 different inhibitors on the metabolism of 10 probe substrates by CYP3A4. Subsequently, Tracy and co-workers (Kumar et al., 2006) studied how 21 different inhibitors affected the metabolism of 5 probe substrates by the CYP2C9 variants *1 and *3. Both groups used hierarchical clustering to analyze relative similarity among their respective panels of substrates and inhibitors; here, we show how principal component analysis (PCA), applied to both groups' datasets, can serve as a powerful global alternative to clustering analysis. This application of PCA is similar to its previous use in functionally characterizing CYP102 variants generated by directed evolution (Bloom et al., 2007). PCA (Wall et al., 2003) is a mathematical technique to extract the most significant trends in a set of observations. PCA relies on the assumption that the most significant trends (called ‘principal components’ or PCs) are those that show the greatest covariance between different observables over multiple observations. For a data set with n observables, PCs can be thought of as vectors in n-dimensional space, and each observation can be transformed from the original observable-space to PC-space, where its coordinates (scores) reflect how much each component contributes to the observation. PCs are ranked in order of variance (i.e., significance): because there are typically more observables than significant PCs, PCA serves as a multidimensional scaling technique. The locations of different observations in component-space provide a quick and global comparison of relative similarity and dissimilarity. Our intent is to demonstrate how PCA can be used to empirically analyze functional patterns among CYP substrates and inhibitors. We should emphasize that a compound's score in a particular PC does not necessarily correlate with any one of its functional, physical or chemical characteristics. More advanced statistical techniques, such as common factor analysis or partial least squares regression, can be used to explain how specific characteristics of compounds contribute to their scores, but such analysis is beyond the scope of this paper. Methods CYP3A4 data from Kenworthy et al. consist of relative (%) inhibition of 12 probe reactions by single concentrations of 34 different inhibitors, and are presented in Table 1. CYP2C9 data from Kumar et al. consist of KI values measured for 21 inhibitors using 5 probe substrates, for allelic variants CYP2C9*1 and CYP2C9*3, presented in Table 2 respectively. To study the functional similarity of substrates, data were entered into a matrix with each row representing a probe substrate and each column representing an inhibitor. PCA was performed using a script, available upon request, in the Python programming language with the SciPy module (Jones et al., 2001). Briefly: columns were mean-centered, and compact singular value decomposition was performed on the resulting matrix using the
linalg.svd () function of SciPy. The matrix of PC scores for all substrates is given by the product of the left singular vector matrix and the singular value matrix. To study the functional similarity of inhibitors, the matrix was transposed so that rows represented inhibitors and each column represented a probe substrate, and then PCA was performed as described above.
Results and Discussion CYP3A4 Substrates PCA of CYP3A4 probe substrate responses to inhibitors (Fig. 1a
Kenworthy et al. correctly recognized that these two fluorescent substrates are highly dissimilar from the other nine probe substrates, and therefore may not be representative of CYP3A4 substrates in general. To more closely examine the relationships between the nine remaining probe substrates (i.e., the ten remaining probe reactions), we therefore eliminated all data for EROD and BROD from the dataset. The first three PCs of the remaining data (Fig. 1b Compared to the hierarchical clustering (Fig. 1c CYP3A4 Inhibitors When the input data are transposed, PCA illustrates how various CYP3A4 inhibitors/effectors relate to each other functionally. As one might expect, the greatest amount of variance in the transposed data set is explained by the average extent of inhibition by each member of the inhibitor panel – the relevant [I]/KI with [I] = 30 μM, under assay conditions. This is clearly demonstrated by the very high correlation (R2 = 0.9999, Fig. 2a
CYP2C9 Substrates KI values of 21 substrates using five probe substrates of CYP2C9.1 and .3 presented by Kumar et al. are shown in Table 2. PCs 1-3 (>95% of variance) from these data, showing how probe substrates cluster in terms of their response to the inhibitor panel, are presented in Fig. 3 a and b
CYP2C9 Inhibitors PCs 1-3 (>95% of variance) of the transposed CYP2C9 data (Fig. 3 c and d In conclusion, we have shown how PCA can be used to globally compare the functional characteristics of CYP substrates and inhibitors. The global nature of PCA allows the recognition of similarities or dissimilarities that may not be evident in traditional pairwise clustering analysis; similarly, mapping a new drug-like compound into functional space (using known substrate or inhibitor panels) could augment predictions of allosteric behavior and drug-drug interactions. As an important caveat, PCA is sensitive to systematic biases in the original data, and its meaningful application to in vitro metabolism studies relies on the type of high-quality, consistent and extensive datasets generated by Kenworthy et al. and Kumar et al. Acknowledgments We are grateful to Dr. R. Scott Obach (Pfizer Inc.), Prof. Tim Tracy (University of Minnesota) and Prof. Jeff P. Jones (Washington State University) for their insightful comments. This work was supported by National Institutes of Health Grant GM-32165. Abbreviations References
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