Predicting volume of distribution with decision tree-based regression methods using predicted tissue:plasma partition coefficients

AbstractBackgroundVolume of distribution is an important pharmacokinetic property that indicates the extent of a drug’s distribution in the body tissues. This paper addresses the problem of how to estimate the apparent volume of distribution at steady state (Vss) of chemical compounds in the human body using decision tree-based regression methods from the area of data mining (or machine learning). Hence, the pros and cons of several different types of decision tree-based regression methods have been discussed. The regression methods predict Vss using, as predictive features, both the compounds’ molecular descriptors and the compounds’ tissue:plasma partition coefficients (Kt:p) – often used in physiologically-based pharmacokinetics. Therefore, this work has assessed whether the data mining-based prediction of Vss can be made more accurate by using as input not only the compounds’ molecular descriptors but also (a subset of) their predicted Kt:p values.ResultsComparison of the models that used only molecular descriptors, in particular, the Bagging decision tree (mean fold error of 2.33), with those employing predicted Kt:p values in addition to the molecular descriptors, such as the Bagging decision tree using adipose Kt:p (mean fold error of 2.29), indicated that the use of predicted Kt:p values as descriptors may be beneficial for accurate prediction of Vss using decision trees if prior feature selection is applied.ConclusionsDecision tree based models presented in this work have an accuracy that is reasonable and similar to the accuracy of reported Vss inter-species extrapolations in the literature. The estimation of Vss for new compounds in drug discovery will benefit from methods that are able to integrate large and varied sources of data and flexible non-linear data mining methods such as decision trees, which can produce interpretable models. Graphical AbstractDecision trees for the prediction of tissue partition coefficient and volume of distribution of drugs.

[1]  Ingo Muegge,et al.  DemQSAR: predicting human volume of distribution and clearance of drugs , 2011, J. Comput. Aided Mol. Des..

[2]  M H Bickel,et al.  Prediction of drug distribution in distribution dialysis and in vivo from binding to tissues and blood. , 1993, Journal of pharmaceutical sciences.

[3]  Wei-Yin Loh,et al.  Classification and regression trees , 2011, WIREs Data Mining Knowl. Discov..

[4]  Vijay K. Agrawal,et al.  Quantitative structure-pharmacokinetic relationship (QSPkP) analysis of the volume of distribution values of anti-infective agents from j group of the ATC classification in humans , 2012, Acta pharmaceutica.

[5]  Donald E Mager,et al.  Quantitative structure–pharmacokinetic relationships , 2011, Expert opinion on drug metabolism & toxicology.

[6]  Alex Alves Freitas,et al.  Comprehensible classification models: a position paper , 2014, SKDD.

[7]  J. R. Quinlan Learning With Continuous Classes , 1992 .

[8]  D J Rance,et al.  The prediction of human pharmacokinetic parameters from preclinical and in vitro metabolism data. , 1997, The Journal of pharmacology and experimental therapeutics.

[9]  Gus R Rosania,et al.  Effect of Phospholipidosis on the Cellular Pharmacokinetics of Chloroquine , 2011, Journal of Pharmacology and Experimental Therapeutics.

[10]  Thomas Peyret,et al.  A unified algorithm for predicting partition coefficients for PBPK modeling of drugs and environmental chemicals. , 2010, Toxicology and applied pharmacology.

[11]  Toru Yamada,et al.  Identification of a novel set of biomarkers for evaluating phospholipidosis-inducing potential of compounds using rat liver microarray data measured 24-h after single dose administration. , 2012, Toxicology.

[12]  Zhiyang Zhao,et al.  Prediction of Vss from In Vitro Tissue-Binding Studies , 2010, Drug Metabolism and Disposition.

[13]  Irini Doytchinova,et al.  Prediction of steady-state volume of distribution of acidic drugs by quantitative structure-pharmacokinetics relationships. , 2012, Journal of pharmaceutical sciences.

[14]  J. Gasteiger,et al.  ITERATIVE PARTIAL EQUALIZATION OF ORBITAL ELECTRONEGATIVITY – A RAPID ACCESS TO ATOMIC CHARGES , 1980 .

[15]  L. A. Fenu,et al.  The Prediction of Drug Metabolism, Tissue Distribution, and Bioavailability of 50 Structurally Diverse Compounds in Rat Using Mechanism-Based Absorption, Distribution, and Metabolism Prediction Tools , 2007, Drug Metabolism and Disposition.

[16]  Mark T. D. Cronin,et al.  Predicting Chemical Toxicity and Fate , 2004 .

[17]  Leo Breiman,et al.  Bagging Predictors , 1996, Machine Learning.

[18]  Geoff Holmes,et al.  Generating Rule Sets from Model Trees , 1999, Australian Joint Conference on Artificial Intelligence.

[19]  Jing-yu Yu,et al.  Computational approaches to analyse and predict small molecule transport and distribution at cellular and subcellular levels. , 2014, Biopharmaceutics & drug disposition.

[20]  Franco Lombardo,et al.  Trend Analysis of a Database of Intravenous Pharmacokinetic Parameters in Humans for 670 Drug Compounds , 2008, Drug Metabolism and Disposition.

[21]  อนิรุธ สืบสิงห์,et al.  Data Mining Practical Machine Learning Tools and Techniques , 2014 .

[22]  Sean Ekins,et al.  A hybrid approach to advancing quantitative prediction of tissue distribution of basic drugs in human. , 2011, Toxicology and applied pharmacology.

[23]  Taravat Ghafourian,et al.  The impact of training set data distributions for modelling of passive intestinal absorption. , 2012, International journal of pharmaceutics.

[24]  Gordon M. Crippen,et al.  Prediction of Physicochemical Parameters by Atomic Contributions , 1999, J. Chem. Inf. Comput. Sci..

[25]  Alex Alves Freitas,et al.  Pre-processing Feature Selection for Improved C&RT Models for Oral Absorption , 2013, J. Chem. Inf. Model..

[26]  Leon Aarons,et al.  Comparison of in‐vivo and in‐silico methods used for prediction of tissue: plasma partition coefficients in rat , 2012, The Journal of pharmacy and pharmacology.

[27]  Zhiyang Zhao,et al.  Lysosomes Contribute to Anomalous Pharmacokinetic Behavior of Melanocortin-4 Receptor Agonists , 2007, Pharmaceutical Research.

[28]  Mark A. Hall,et al.  Correlation-based Feature Selection for Discrete and Numeric Class Machine Learning , 1999, ICML.

[29]  M. Cronin,et al.  Quantitative structure‐pharmacokinetic relationship modelling: apparent volume of distribution , 2004, The Journal of pharmacy and pharmacology.

[30]  T J Maguire,et al.  Design and application of microfluidic systems for in vitro pharmacokinetic evaluation of drug candidates. , 2009, Current drug metabolism.

[31]  Taravat Ghafourian,et al.  QSPR models for the prediction of apparent volume of distribution. , 2006, International journal of pharmaceutics.

[32]  Alex Alves Freitas,et al.  On the Importance of Comprehensible Classification Models for Protein Function Prediction , 2010, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[33]  Harish Dureja,et al.  Prediction of pharmacokinetic parameters. , 2012, Methods in molecular biology.

[34]  Patrick Poulin,et al.  Development of a novel method for predicting human volume of distribution at steady-state of basic drugs and comparative assessment with existing methods. , 2009, Journal of pharmaceutical sciences.

[35]  R. Obach,et al.  DMD054031 1975..1993 , 2013 .

[36]  I Horikoshi,et al.  Age-dependent changes in phenytoin tissue bindings in rats: comparison between in vivo and in vitro tissue-to-blood partition coefficients (Kp values) of phenytoin. , 1987, Journal of pharmacobio-dynamics.

[37]  Yuichi Sugiyama,et al.  In vitro andin vivo evaluation of the tissue-to-blood partition coefficient for physiological pharmacokinetic models , 1982, Journal of Pharmacokinetics and Biopharmaceutics.

[38]  Emilio Benfenati,et al.  Interpretation of Quantitative Structure-Property and -Activity Relationships , 2001, J. Chem. Inf. Comput. Sci..

[39]  Henri Xhaard,et al.  Applying Linear and Non-Linear Methods for Parallel Prediction of Volume of Distribution and Fraction of Unbound Drug , 2013, PloS one.

[40]  Franco Lombardo,et al.  In silico prediction of volume of distribution in human using linear and nonlinear models on a 669 compound data set. , 2009, Journal of medicinal chemistry.

[41]  P. Paixão,et al.  Prediction of Drug Distribution in Rat and Humans Using an Artificial Neural Networks Ensemble and a PBPK Model , 2014, Pharmaceutical Research.

[42]  I Mahmood,et al.  Interspecies Scaling: Predicting Volumes, Mean Residence Time and Elimination Half‐life. * Some Suggestions , 1998, The Journal of pharmacy and pharmacology.

[43]  M. Jamei,et al.  PBPK modelling of inter-individual variability in the pharmacokinetics of environmental chemicals. , 2010, Toxicology.

[44]  Malcolm Rowland,et al.  PhRMA CPCDC initiative on predictive models of human pharmacokinetics, part 2: comparative assessment of prediction methods of human volume of distribution. , 2011, Journal of pharmaceutical sciences.

[45]  D. E. Clark Rapid calculation of polar molecular surface area and its application to the prediction of transport phenomena. 1. Prediction of intestinal absorption. , 1999, Journal of pharmaceutical sciences.

[46]  Patrick Poulin,et al.  Advancing prediction of tissue distribution and volume of distribution of highly lipophilic compounds from a simplified tissue-composition-based model as a mechanistic animal alternative method. , 2012, Journal of pharmaceutical sciences.

[47]  Dr. Alex A. Freitas Data Mining and Knowledge Discovery with Evolutionary Algorithms , 2002, Natural Computing Series.

[48]  Patrick Poulin,et al.  Prediction of pharmacokinetics prior to in vivo studies. 1. Mechanism-based prediction of volume of distribution. , 2002, Journal of pharmaceutical sciences.

[49]  J. Duffy,et al.  Prediction of Pharmacokinetic Parameters in Drug Design and Toxicology , 2004 .

[50]  Franco Lombardo,et al.  A hybrid mixture discriminant analysis-random forest computational model for the prediction of volume of distribution of drugs in human. , 2006, Journal of medicinal chemistry.