Quantitative Structure—Plasma Protein Binding Relationships of Acidic Drugs
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Quantitative Structure—Plasma Protein Binding Relationships of Acidic Drugs ZVETANKA ZHIVKOVA, IRINI DOYTCHINOVA Faculty of Pharmacy, Medical University of Sofia, Sofia 1000, Bulgaria Received 21 June 2012; revised 24 July 2012; accepted 2 August 2012 Published online 7 September 2012 in Wiley Online Library (wileyonlinelibrary.com). DOI 10.1002/jps.23303 ABSTRACT: One of the most important factors, affecting significantly the overall pharma- cokinetic and pharmacodynamic profile of a drug, is its binding to plasma protein (PPB). In the present study, we focus on a set of 132 diverse acidic drugs binding to plasma proteins to differ- ent extent and develop quantitative structure-plasma protein binding relationships (QSPPBR) to predict their unbound fraction in plasma (fu) using 178 molecular descriptors. QSPPBR mod- els were derived after variable selection by genetic algorithm followed by stepwise regression and tested by cross- and external validation. The final model has r2 value of 0.771, q2 value of 0.737, and four outliers. It predicts 57% of the fu values with less than twofold error. Ac- cording to the molecular descriptors selected as the most predictive for PPB, the lipophilicity of the drugs, the presence of aromatic rings, cyano groups, and H-bond donor–acceptor pairs increase the PPB, whereas the presence of tertiary carbon atoms, four-member rings, and iodine atoms decrease PPB. These descriptors were summarized into a short seven-item checklist of criteria responsible for PPB. The checklist could be used as a guide for evaluation of PPB of acidic drug candidates, similarly to the Lipinski’s rule of five used for evaluation of oral per- meability of drugs. © 2012 Wiley Periodicals, Inc. and the American Pharmacists Association J Pharm Sci 101:4627–4641, 2012 Keywords: protein binding; plasma protein binding (PPB); computational ADME; QSAR; fraction of unbound drug (fu); fu prediction; acidic drugs; complexation; drug design INTRODUCTION discovery prior to chemical synthesis, allowing pre- diction to be made even on virtual compounds. The analysis of the main reasons for attrition in drug One of the most important factors, affecting sig- development, published in the late 1990s, reveals that nificantly the overall pharmacokinetic and pharma- almost 39% of the costly late-stage failures are caused codynamic profile, is the binding of drugs to serum by poor pharmacokinetics.1 The recognized need for proteins. Although the significance of this phenom- estimation of pharmacokinetic behavior of drug candi- ena remains a source of sheer never-ending debate,6 dates as early as possible led to considerable progress it is generally accepted that protein binding is one in computational techniques and to development of of the factors controlling the concentration of free, extensively growing number of models for prediction therapeutically active drug in plasma. Drugs with an of various pharmacokinetic properties. As a result, by excessively high affinity for plasma proteins (>95% 2000, the negative contribution of pharmacokinetic bound) may require higher doses to achieve the ef- factors has decreased dramatically to about 10% of fective concentrations in vivo, and usually have re- the drug failures.2 The contemporary state of the mat- stricted distribution to sites of action. Changes in the ter is reviewed in several articles and books.3–5 These binding affinity may result in unforeseen changes in studies highlighted the potential of in silico approach the key parameters for setting up dosing regimen— to provide key information at early stages in drug apparent volume of distribution, clearance, half-life, and bioavailability.6–8 The development of computational models for the Correspondence to: Zvetanka Zhivkova (Telephone: +359-2- prediction of plasma protein binding (PPB) affinity is 9236514; Fax: +359-2-9879874; E-mail: zzhivkova@pharmfac. acad.bg) an attractive goal from theoretical and practical point Journal of Pharmaceutical Sciences, Vol. 101, 4627–4641 (2012) of view.From a theoretical point of view,the structure- © 2012 Wiley Periodicals, Inc. and the American Pharmacists Association PPB relationships gain insights into the chemical JOURNAL OF PHARMACEUTICAL SCIENCES, VOL. 101, NO. 12, DECEMBER 2012 4627 4628 ZHIVKOVA AND DOYTCHINOVA nature of drug–protein interactions. The practical ap- occupy all known binding sites, each with different plications of these models in the process of drug de- affinity and different pharmacological relevance.18 velopment allow the design of new compounds with Considering all these facts, it seems that the ex- reduced PPB and less variable pharmacokinetic be- tent of protein binding (expressed as free, unbound havior. Recently, this strategy has been successfully fraction of the drug fu) is the most reliable parame- applied by Mao et al.9 ter characterizing the overall protein-binding behav- A good number of studies on the analysis and pre- ior in vivo. diction of PPB have been performed during the last The binding of drugs to various plasma pro- 10–15 years. They could be classified according to sev- teins seems to be governed by different driving eral criteria: data, descriptors, and methods. Accord- forces. Hydrophobic and electrostatic interactions ing to the data used, studies are based on congeneric are involved in complexation of drugs with HSA,29 sets of drugs10–13 or on diverse drugs.14–24 PPB affin- whereas binding to AAG and lipoproteins is mainly ity is usually expressed as a percent of protein-bound hydrophobic.30–32 Recently, it was suggested that the drug, or as an equilibrium association (dissociation) influence of the lipophilicity on binding to HSA is constant. The descriptors used in the models are larger for acids than for bases.15 It is clear that the constitutional, topological,21 electrotopological,10,16 lipophilicity and the ionization state of the ligand are chemical, physicochemical, quantum chemical, molec- important for the mode of binding to plasma proteins ular docking based,24 and combinations of them. The and contribute to the different behavior of acidic and repertoire of methods includes multiple linear regres- basic drugs in plasma. sion with variable selection,12–14,19 artificial neural In the present study, we focus on a set of 132 di- networks,22,23 support vector machines (SVMs),11 ant verse acidic drugs binding to plasma proteins and colony optimization,19 pharmacophoric similarity and develop QSPPBR models to predict their unbound 17 18 fingerprints, cluster analysis, and so on. fraction in plasma (fu) using 178 molecular descrip- All of the above-mentioned studies use ligand- tors grouped into several groups: molecular connec- based methodologies. The only structure-based study tivity P (chi) indices; molecular shape indices; elec- to our knowledge is an SVM model combined with au- trotopological state (E-state) indices; and two- and tomated molecular docking calculations that are able three-dimensional molecular properties. Apart from to predict whether albumin binds the query ligand, prediction, the QSPPBR models are used to explore to determine the probable binding site on albumin, the structural features of drugs important for their to select the albumin X-ray structure complexed with PPB. The most relevant descriptors are translated the most similar ligand and to calculate the geometry into a simple, easy to use, checklist of criteria govern- of the complex ligand-albumin.25 ing the PPB. Prediction of binding affinity of drugs to plasma proteins is a rather complicated task. The quality of the model depends on the quality of utilized dataset. MATERIALS AND METHODS Like the other pharmacokinetic parameters, binding Dataset affinity data vary significantly from report to report The dataset used in the present study was com- as a result of differences in methodology, experimen- 33 tal conditions, and mathematical approaches. This is piled from Obach’s database which is considered as especially true for the affinity constants K, which are, the largest and the best curated database for phar- in general, determined in vitro. In addition, published macokinetic parameters in humans. The mol files of the drugs were retrieved from DrugBank34 and data for K are restricted to affinity toward a specified 35 plasma protein, and even toward a single binding site ChemicalBook and their pKa values were calculated in the protein. by ACD/LogD software (Advanced Chemistry Devel- However, the pharmacokinetic behavior of drugs is opment Inc., Ontario, Canada). The fraction of a drug controlled by the free, unbound fraction that is deter- ionized at pH 7.4 as acid (fA) or base (fB) were calcu- mined by the possible interactions with all proteins in lated according to the equations: plasma: human serum albumin (HSA), alpha-1-acid 1 glycoprotein (AAG), lipoproteins, globulins, erythro- for acid : f A = + (pKa−7.4) cytes, and so on. Although it is accepted that HSA is 1 10 primarily responsible for the binding of acidic drugs = 1 for base : f B − and AAG displays greater affinity for basic drugs, 1 + 10(7.4 pKa) there are several examples for binding of drugs both to HSA and AAG irrespectively on their ionization In case of more than one acidic or basic center, the 7,26,27 state. Lipoproteins also play a significant role in pKa of the strongest one was taken. A drug was con- drug binding, especially for hydrophobic drugs.28 By sidered as an acid if met at least one of the two condi- increasing the ligand concentration, the ligands can tions: (1) fA exceeded 10% and fB ≈ 0; or/and (2) fA was JOURNAL OF PHARMACEUTICAL SCIENCES, VOL. 101, NO. 12, DECEMBER 2012 DOI 10.1002/jps QUANTITATIVE STRUCTURE—PLASMA PROTEIN BINDING RELATIONSHIPS OF ACIDIC DRUGS 4629 considerably higher than fB and close to 1. One hun- Variable Selection dred and thirty-two drugs met one or both of these A genetic algorithm (GA),38 as implemented in the conditions and entered the dataset used in the study. MDL QSAR package, was used as a variable selec- The data for f in Obach’s database were used as u tion procedure in the present study.