Data set
For this QSAR study, a data set consisting of sixty one 3-Hydroxypyrimidine-2, 4-dione derivatives as HIV RT-associated RNase H Inhibitors was selected (
3). The structural features and biological activities of these derivatives are listed in
Table 1. The biological activities were reported as IC
50 values and converted to logarithmic scale (IC
50) and finally used for the QSAR analysis.
Molecular descriptors
The two dimensional structures of the ligands were constructed using ChemBioDraw 12.0 software. For minimization energy, the ligands were subjected to minimization procedures by means of an
in house TCL script using Hyperchem (Version 8, Hypercube Inc., Gainesville, FL, USA). Each ligand was optimized with two minimization methods, first molecular mechanics (MM+) and, then, quantum based semi-empirical method (AM1) using Hyperchem package. Large number of molecular descriptors was calculated using Hyperchem and Dragon package (
9). Hyperchem Software was applied to calculate some chemical parameters including molecular volume (V), molecular surface area (SA), hydrophobicity (LogP), hydration energy (HE), and molecular polarizability (MP). The different topological, geometrical, charge, empirical, constitutional, 2D autocorrelations, aromaticity indices, atom-centered fragments, and functional groups descriptors for each molecule were calculated using Dragon 5.0 software. The brief description of some of them is listed in
Table 2.
Model development
The calculated descriptors were collected in a data matrix whose number of rows and columns were the number of molecules and descriptors, respectively. Two different regression methods were used to construct QSAR equations: (i) simple multiple linear regression with stepwise variable selection (MLR) and (ii) Genetic algorithm–partial least squares (GA-PLS). These already mentioned methods are well applied in the QSAR studies (
10,
11).
In the present study, MLR with stepwise selection and elimination of variables was applied for developing QSAR models using SPSS software (version 21; SPSS Inc., IBM, Chicago, IL, USA). The resulted models were validated by leave-one-out cross-validation procedure to check their predictability and robustness using MATLAB 2015 software (version 8.5; Math work Inc., Natick, MA, USA).
The partial least square (PLS) regression method was applied to the NIPALS-based algorithm existed in the chemometrics toolbox of MATLAB software. Leave-one-out cross-validation procedure was used to obtain the optimum number of factors based on the Haaland and Thomas F-ratio criterion (
12,
13). The MATLAB PLS toolbox developed by eigenvector company was used for PLS and GA modeling. All calculations were run on a core i7 personal computer (CPU at 6 MB) with Windows 7 operating system.
Model validation
Statistical parameters such as standard error of regression (SE), correlation coefficient (R2), variance ratio (F) at specified degrees of freedom, leave-one-out cross-validation correlation coefficient (Q2), root mean square error of cross-validation (RMScv) and double cross validation (Cvcv) were employed to calculate the validity of regression equation. In order to test the developed model performances, 20% of the molecules were selected as test set molecules. The predictive value of a QSAR model that was not taken into account during the development process of the model should be tested on an external set of data. The QSAR model was developed in more than three data sets and the best equations were selected as the best model.
Applicability domain
Before using a QSAR for screening chemicals, its domain of application must be defined and predictions for only those chemicals that fall in this domain may be considered reliable. The applicability domain is evaluated by the leverage values for each compound. A Williams plot (the plot of standardized residuals versus leverage values (h)) can then be used for an immediate and simple graphical detection of both the response outliers (Y outliers) and structurally influential chemicals (X outliers) in our model. In this graph, the applicability domain is established inside a squared area within ±x (standard deviations) and a leverage threshold h*.
The threshold h* is generally fixed at 3(k + 1) ⁄n (k is the number of model parameters and n is the number of training set compounds), whereas x = 2 or 3. Prediction must be considered unreliable for compounds with a high leverage value (h > h*). A leverage greater than warning leverage h* means that the predicted response is the result of substantial extrapolation of the model and, therefore, may not be reliable (
14).
Docking procedure
The docking studies were carried out by means of an
in house batch script (DOCKFACE) (
15,
16) of AutoDock 4.2. For docking procedure, each ligand was optimized with MM
+ and AM1 minimization method using HyperChem 8. Then, the partial charges of atoms were calculated using Gasteiger-Marsili procedure implemented in the AutoDock Tools package (
17). Non-polar hydrogens of compounds were merged, and then rotatable bonds were assigned. The output structures were converted to PDBQT using MGLtools 1.5.6 (
18).
The three dimensional crystal structure of HIV RT-associated RNase H (PDB ID: 1hrh) was retrieved from protein data bank (http://www.rcsb.org/pdb/home/home.do). All water molecules were removed and missing hydrogens were added. Then, after determining the Kollman united atom charges, non-polar hydrogens were merged into their corresponding carbons using AutoDock Tools (
19). Among the three different search algorithms performed by AutoDock 4.2, the commonly used Lamarckian Genetic Algorithm (LGA) was applied (
20). Finally, the PDBQT file of enzyme was obtained using MGLTOOLS 1.5.6.
For Lamarckian GA, a maximum number of 2,500,000 energy evaluations, 27000 maximum generations; 150 population sizes, a gene mutation rate of 0.02; and a crossover rate of 0.8 were applied. The grid maps of the receptors were calculated using AutoGrid tools of AutoDock 4.2. The size of grid was set in a way to include not only the active site, but also the considerable portions of the encircling surface. A grid box of 68×60×70 points in x, y, and z directions was built and centered on the center of the ligand in the complex with a spacing of 0.375 Å. Number of points in x, y and z was -10.012, 20.681 and 45.166, respectively. AutoDock Tools was employed to produce both grid and docking parameter files i.e. gpf and dpf.
In the validity evaluation step of docking process, SMIL format of 17 active ligands and 66 inactive decoys were extracted from ChEMBL database (
21). 3D generation of these structures as mol2 format was generated using openbabell software. After docking of the active ligands and inactive decoys based on the applied docking procedure for 3-Hydroxypyrimidine-2, 4-dione derivatives, the area under the curve (AUC) for receiver operating characteristic (ROC) plot was calculated for active ligands and decoys using our application (
22).
Autodock tools program (ADT, Version 1.5.6) and VMD, were applied to show the Ligand-receptor interactions of docking results (
23). This software visualizes hydr-ogen bonding, π-aren cation and aren-H as well as hydrophobic interactions which are established through the docking procedure. In addition, the docking energy was plotted versus pIC
50 predicted by GA-PLS method to obtain their correlation (
Figure 5).