In Silico Predictions of Human Skin Permeability using Nonlinear Quantitative Structure–Property Relationship Models

PurposePredicting human skin permeability of chemical compounds accurately and efficiently is useful for developing dermatological medicines and cosmetics. However, previous work have two problems; 1) quality of databases used, and 2) methods for prediction models. In this paper, we attempt to solve these two problems.MethodsWe first compile, by carefully screening from the literature, a novel dataset of chemical compounds with permeability coefficients, measured under consistent experimental conditions. We then apply machine learning techniques such as support vector regression (SVR) and random forest (RF) to our database to develop prediction models. Molecular descriptors are fully computationally obtained, and greedy stepwise selection is employed for descriptor selection. Prediction models are internally and externally validated.ResultsWe generated an original, new database on human skin permeability of 211 different compounds from aqueous donors. Nonlinear SVR achieved the best performance among linear SVR, nonlinear SVR, and RF. The determination coefficient, root mean square error, and mean absolute error of nonlinear SVR in external validation were 0.910, 0.342, and 0.282, respectively.ConclusionsWe provided one of the largest datasets with purely experimental log kp and developed reliable and accurate prediction models for screening active ingredients and seeking unsynthesized compounds of dermatological medicines and cosmetics.

[1]  Emad A. El-Sebakhy,et al.  Forecasting PVT properties of crude oil systems based on support vector machines modeling scheme , 2009 .

[2]  T Yano,et al.  Skin permeability of various non-steroidal anti-inflammatory drugs in man. , 1986, Life sciences.

[3]  T. Franz Percutaneous absorption on the relevance of in vitro data. , 1975, The Journal of investigative dermatology.

[4]  H I Maibach,et al.  Skin permeability in vivo: comparison in rat, rabbit, pig and man. , 1972, The Journal of investigative dermatology.

[5]  A. Becke A New Mixing of Hartree-Fock and Local Density-Functional Theories , 1993 .

[6]  P. Roy,et al.  On Some Aspects of Variable Selection for Partial Least Squares Regression Models , 2008 .

[7]  P Buchwald,et al.  A simple, predictive, structure‐based skin permeability model , 2001, The Journal of pharmacy and pharmacology.

[8]  Bernhard Schölkopf,et al.  A tutorial on support vector regression , 2004, Stat. Comput..

[9]  Mark S. Gordon,et al.  Chapter 41 – Advances in electronic structure theory: GAMESS a decade later , 2005 .

[10]  Long-jian Chen,et al.  Prediction of human skin permeability using artificial neural network (ANN) modeling , 2007, Acta Pharmacologica Sinica.

[11]  Jian-Hui Jiang,et al.  Optimized Block-wise Variable Combination by Particle Swarm Optimization for Partial Least Squares Modeling in Quantitative Structure-Activity Relationship Studies , 2005, J. Chem. Inf. Model..

[12]  Y. Wang,et al.  Using support vector regression coupled with the genetic algorithm for predicting acute toxicity to the fathead minnow , 2010, SAR and QSAR in environmental research.

[13]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[14]  Maykel Pérez González,et al.  Quantitative structure activity relationships as useful tools for the design of new adenosine receptor ligands. 1. Agonist. , 2006, Current medicinal chemistry.

[15]  Michail G. Lagoudakis,et al.  A decision support system to facilitate management of patients with acute gastrointestinal bleeding , 2008, Artif. Intell. Medicine.

[16]  Amparo Alonso-Betanzos,et al.  A Global Optimum Approach for One-Layer Neural Networks , 2002, Neural Computation.

[17]  Jigneshkumar Patel,et al.  Science of the science, drug discovery and artificial neural networks. , 2013, Current drug discovery technologies.

[18]  Z R Li,et al.  Quantitative structure-pharmacokinetic relationships for drug clearance by using statistical learning methods. , 2006, Journal of molecular graphics & modelling.

[19]  Parr,et al.  Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density. , 1988, Physical review. B, Condensed matter.

[20]  M D Barratt,et al.  Quantitative structure-activity relationships for skin permeability. , 1995, Toxicology in vitro : an international journal published in association with BIBRA.

[21]  Daniela Karadzovska,et al.  Assessing vehicle effects on skin absorption using artificial membrane assays. , 2013, European journal of pharmaceutical sciences : official journal of the European Federation for Pharmaceutical Sciences.

[22]  Ping Zhang Model Selection Via Multifold Cross Validation , 1993 .

[23]  Chung-Ho Hsieh,et al.  Novel solutions for an old disease: diagnosis of acute appendicitis with random forest, support vector machines, and artificial neural networks. , 2011, Surgery.

[24]  Andy Liaw,et al.  Classification and Regression by randomForest , 2007 .

[25]  J. Shao Linear Model Selection by Cross-validation , 1993 .

[26]  G P Moss,et al.  Investigation of the mechanism of flux across human skin in vitro by quantitative structure-permeability relationships. , 1999, European journal of pharmaceutical sciences : official journal of the European Federation for Pharmaceutical Sciences.

[27]  P. Burman A comparative study of ordinary cross-validation, v-fold cross-validation and the repeated learning-testing methods , 1989 .

[28]  Corinna Cortes,et al.  Support-Vector Networks , 1995, Machine Learning.

[29]  Russell O. Potts,et al.  Predicting Skin Permeability , 1992, Pharmaceutical Research.

[30]  R. P. Moody,et al.  The Prediction of Skin Permeability by Using Physicochemical Data , 1997 .

[31]  Hiroaki Todo,et al.  Influence of skin thickness on the in vitro permeabilities of drugs through Sprague-Dawley rat or Yucatan micropig skin. , 2012, Biological & pharmaceutical bulletin.

[32]  R. Parr Density-functional theory of atoms and molecules , 1989 .

[33]  R. L. Robinson,et al.  Nonlinear quantitative structure-property relationship modeling of skin permeation coefficient. , 2009, Journal of pharmaceutical sciences.

[34]  H. Modarress,et al.  Linear and nonlinear quantitative structure-property relationship modelling of skin permeability , 2014, SAR and QSAR in environmental research.

[35]  Michael S. Roberts,et al.  Epidermal permeability penetrant structure relationships .1. An analysis of methods of predicting penetration of monofunctional solutes from aqueous solutions , 1995 .

[36]  Kurt Hornik,et al.  Misc Functions of the Department of Statistics (e1071), TU Wien , 2014 .

[37]  Kwang S. Kim,et al.  Theory and applications of computational chemistry : the first forty years , 2005 .

[38]  Robert Langer,et al.  Transdermal drug delivery , 2008, Nature Biotechnology.

[39]  Robert P. Sheridan,et al.  Random Forest: A Classification and Regression Tool for Compound Classification and QSAR Modeling , 2003, J. Chem. Inf. Comput. Sci..

[40]  M. Shakya,et al.  Role of physicochemical properties in the estimation of skin permeability: in vitro data assessment by Partial Least-Squares Regression , 2010, SAR and QSAR in environmental research.

[41]  S. Yalkowsky,et al.  Correlation and prediction of mass transport across membranes. I. Influence of alkyl chain length on flux-determining properties of barrier and diffusant. , 1972, Journal of pharmaceutical sciences.

[42]  Bahram Hemmateenejad,et al.  An efficient variable selection method based on the use of external memory in ant colony optimization. Application to QSAR/QSPR studies. , 2009, Analytica chimica acta.

[43]  Dirk Neumann,et al.  A Fully Computational Model for Predicting Percutaneous Drug Absorption , 2006, J. Chem. Inf. Model..

[44]  Michael S. Roberts,et al.  Skin Solubility Determines Maximum Transepidermal Flux for Similar Size Molecules , 2009, Pharmaceutical Research.

[45]  Vladimir Vapnik,et al.  Statistical learning theory , 1998 .

[46]  Peter Dalgaard,et al.  R Development Core Team (2010): R: A language and environment for statistical computing , 2010 .

[47]  Alexandre Varnek,et al.  Skin permeation rate as a function of chemical structure. , 2006, Journal of medicinal chemistry.

[48]  M. Abraham,et al.  Algorithms for Skin Permeability Using Hydrogen Bond Descriptors: the Problem of Steroids * , 1997, The Journal of pharmacy and pharmacology.

[49]  T. Franz,et al.  Percutaneous Absorption in Man: In vitro-in vivo Correlation , 2011, Skin Pharmacology and Physiology.

[50]  A. Tropsha,et al.  Beware of q2! , 2002, Journal of molecular graphics & modelling.

[51]  David S. Wishart,et al.  DrugBank 4.0: shedding new light on drug metabolism , 2013, Nucleic Acids Res..

[52]  Mark T D Cronin,et al.  Quantitative structure-activity relationships (QSARs) for the prediction of skin permeation of exogenous chemicals. , 2002, Chemosphere.

[53]  Fumiyoshi Yamashita,et al.  Prediction of human skin permeability using a combination of molecular orbital calculations and artificial neural network. , 2002, Biological & pharmaceutical bulletin.

[54]  Neil Davey,et al.  The application and limitations of mathematical modelling in the prediction of permeability across mammalian skin and polydimethylsiloxane membranes , 2011, The Journal of pharmacy and pharmacology.

[55]  J. Bos,et al.  The 500 Dalton rule for the skin penetration of chemical compounds and drugs , 2000, Experimental dermatology.

[56]  Enric Monte-Moreno,et al.  Non-invasive estimate of blood glucose and blood pressure from a photoplethysmograph by means of machine learning techniques , 2011, Artif. Intell. Medicine.

[57]  Mark S. Gordon,et al.  General atomic and molecular electronic structure system , 1993, J. Comput. Chem..

[58]  R Panchagnula,et al.  Animal models for transdermal drug delivery. , 1997, Methods and findings in experimental and clinical pharmacology.

[59]  Leo Breiman,et al.  Random Forests , 2001, Machine Learning.

[60]  T. Ghafourian,et al.  The effect of structural QSAR parameters on skin penetration. , 2001, International journal of pharmaceutics.

[61]  R. Boggia,et al.  Genetic algorithms as a strategy for feature selection , 1992 .

[62]  Annette L. Bunge,et al.  Skin Absorption Databases and Predictive Equations , 2002 .

[63]  T E McKone,et al.  Estimating skin permeation. The validation of five mathematical skin permeation models. , 1995, Chemosphere.

[64]  D. Mills,et al.  A quantitative structure–activity relationship (QSAR) study of dermal absorption using theoretical molecular descriptors , 2007, SAR and QSAR in environmental research.

[65]  D. McAuliffe,et al.  Penetration of benzene through human skin. , 1985, The Journal of investigative dermatology.