Validation of 2D and 3D QSAR model
For 2D QSAR
The substituted benzimidazole derivatives were selected and divided into training and test sets with16 and 4 compounds, respectively. The data set selection was validated through uni-column statistics (
Table 1).
The maximum of the test set was found to be less than the maximum of the training set and the minimum of the test set was greater than the minimum of the training set. Hence, the test set was found to be interpolative within the maximum-minimum ranges of the training set along with the standard deviation of statistics. This validated data set was applied to generate a robust 2D QSAR model via different statistical methods. The best significant QSAR model was obtained through multiple linear regression (MLR) coupled with stepwise, forward and backward methods. The model is given in Equation 1:
pIC50 = -1.04 (T_N_O_6) -0.20 (T_2_N_6) 0.25 (chi1) + 5.22 Equation 1.
Where T_N_O_6, T_2_N_6 and chi1 are the descriptors indicating their position along with their respective coefficients and regression constant is the last numerical term in this equation.
The other statistical parameters used to evaluate the quality and stability of the model are given in
Table 2.
The squared correlation coefficient explains the quality of fit by 80% of the total variance in the training set. A high r2 and low standard error r2 (r2_se) value of 0.8039 and 0.2492 denotes the accuracy of the obtained model. It also has an internal (q2) and external (pred_r2) predictive ability of ~63% and ~49%, respectively. These parameters indicate that obtained model indicated an excellent correlation between activity and physicochemical descriptors. Thus obtained MLR obtained model is robust.
The fitness plot describes an idea about how well the model was trained and how well it predicts the activity of the external test set (
Figure 1). In this plot, points were near to the regression line showing true prediction of training set activity and external test set. The predicted and residual activity of data sets was given in Table S1 of supplementary data.
Linear fitness plot illustrating the correlation of predicted versus actual activity for training and test set for (A) 2D QSAR and (B) 3D QSAR model
For 3D QSAR
The robust 3D QSAR analysis was carried out by applying the k-nearest neighbor molecular field analysis (kNNMFA) method coupled with the stepwise, forward and backward methods. All compounds were again divided into training and test data sets, including 13 and 7 compounds, respectively. The data selection was validated through uni-column statistics (
Table 1) and found to be interpolative within the maximum-minimum ranges of training set along with standard deviation of statistics.
Furthermore, the kNN MFA model coupled with the stepwise, forward and backward methods was applied after a common rectangular grid generation around the co-crystallized compounds. The descriptors, along with other statistically significant parameters, are given in
Table 2. According to statistical results, the obtained model was found to comparatively better in terms of the internal (q
2 = 0.6013) as well as the external (pred_ r
2= 0.5338) model validation and accurately predicted the activity ~60% and ~53% for the training and test set respectively. The obtained model describes that electrostatic interactions (E_1108) play a significant role in determining CRF-1 antagonistic activity. The difference between observed vs. predictive activity in distance point terms (Fitness plot) is shown in
Figure 1. The predicted and residual activity of data sets was given in Table S1 of supplementary data.
Interpretation of pharmacophore model
Contribution of 2D parameters
The obtained model revealed that the descriptors T_N_O_6, T_2_N_6, and chi1 play the most prominent role in predicting activity explaining the correlation with standard to the variation in different substitution sites (
Figure 2).
2D parameters contribution plot for training and test set
T_N_O_6: This alignment-independent descriptor is the count of number of nitrogen atoms (single, double or triple bonded) separated from oxygen atom by 6 bond distance in a molecule. This descriptor shows a negative contribution in terms of percentage is 45%.
T_2_N_6: This alignment-independent descriptor is the count of number of double-bonded atoms (i.e., any double-bonded atom, T_2) separated from the nitrogen atom by 6 bonds. This descriptor also shows a negative contribution in terms of percentage is 34%.
chi1: This physicochemical descriptor signifies a retention index (first-order) derived directly from gradient retention times. It shows positive contribution in terms of percentage is 25%.
3D QSAR and pharmacophore modeling
The calculated field descriptors were utilized for the evaluation of the activity of the compounds. The steric and electrostatic energies are computed at the lattice points of the grid using a methyl probe of charge +1. These interaction energy values at the grid points are considered for relationship generation using the kNN method and utilized as descriptors for obtaining distances within this method.
Figure 3 shows the relative position and ranges of the corresponding important electrostatic/steric fields in the model provides the following guidelines for the design of a new molecule.
For the electrostatic field, the negative range indicates that negative electrostatic potential is favorable for increased activity. Hence, a more electronegative substituent group is preferred in that region, and a positive range exhibited that positive electrostatic potential is favorable for an increase in the activity. So, a less electronegative substituent group is preferred in that region. Consequently, developed kNN-MFA model, one electrostatic fields range (E_1108: -0.0015 to 0.0406) shows the range is more towards the negative side, and hence, increasing electronegativity of the substituent group is favourable at the 1,2,3,4-tetrahydropyrimido-[1,2-a]benzimidazole core.
Therefore, in the context of 2D and 3D QSAR, the pharmacophore responsible for CRF-1 antagonistic activity was investigated. The compound B3 (IC50=11 nM) with tetrahydropyrimidobenzimidazole core was potent as the compound B2 (IC50=18 nM) of benzimidazole with a trisubstituted phenyl group. The presence of an electronegative atom like Cl atom at the 9-position of compound B7 (IC50=7.1 nM) increases the binding activity. Hence, it was a promising lead for further development work. Removal of diethylamino group on the 6-position through hydroxyl group (IC50=89 nM), cyano group (IC50=66 nM), and methoxy group (IC50=20 nM) maintained the activity and reducing the lipophilicity. Compound B18 has lower binding activity but improved metabolic stability due to the presence of fluorine, a more electronegative atom. Substitution with pyrimidine ring improves solubility by decreasing the lipophilicity of the compound. Thus, the presence of more electronegative atoms at the 6-position improves the binding activity and metabolic stability.
Docking analysis
To explore the scope of work, we performed molecular docking analysis for selected data sets. The co-crystallized protein (PDB ID: 3EHT) has been selected, and the grid was generated around the ligand prior to XP docking. The docking results are described in
Table 3.
Compound
B18 (9-chloro-6-(1-(difluoromethoxy)-2,2,2-trifluoroethyl)-1-(4-methoxy-2-methylphenyl)-1,2,3,4-tetrahydrobenzo[4,5]imidazo[1,2-a]pyrimidine) has the highest docking score -8.920 and shows 2 hydrogen bonds with residue Arg5 and Glu196. It also shows one Π-cation interaction with Arg283. In reference compounds,
CP-316,11 has the docking score -6.889 and shows Π-Π stacking with Tyr194, Trp287 and Salt bridge with Glu305, Glu196 residues. The ligand interaction and 3D diagram of compound
B18 are given in
Figure 4.
The nitrogen of the benzimidazole nucleus involves in hydrogen bond formation for better binding and benzene ring forms Π-cation interaction with Arg283 residue. The most interesting fact is that all benzimidazole compounds show hydrogen bonding (Glu196, Lys334, Arg5, Arg283, Glu238, Asp284 and Asn199). Overall, compound
B18 has the highest binding affinity towards the binding pocket of 3EHT protein. The hydrophobic interactions enhance the binding affinity between drug-protein interfaces; therefore, incorporation of hydrogen bonding can be helpful to optimize the binding affinity due to hydrophobic interactions (
28). Hence, comparison with reference molecules suggests that all benzimidazole compounds have an excellent binding affinity towards the same binding pocket of protein (
Figure 5). The presence of OCH
3, Cl or polar substituents at 1-position enhances the binding affinity.
Docking results revealed that the binding pocket consists of hydrophobic (Pro195, Phe193, Trp119, Leu87, Ala286, Met19, Tyr8, Tyr139 and Tyr194), and hydrogen bonding (Arg283, Glu196, Lys334, Arg5, Glu238, Asp284 and Asn199) amino acid residues. Other amino acid residues are also involved in Π- Π stacking, Π-cat and salt bridge formation.
Binding energy calculation
The binding energy of the selected data sets was calculated and given in Table S2 of supplementary data. Compound B7 has the highest binding energy -107.147 kcal/mol.In a reference molecule, emicerfont has the highest binding energy -62.828 kcal/mol. Compound B18 has the dG bind energy -89.375 kcal/mol which is higher among all reference compounds.
MD simulation analysis
The independent 20 ns atomistic MD simulation was performed to obtain insights into the dynamical behavior of the highest potent compound
B18 at the trans-membrane pocket of CRF-1 protein. The system reached convergence through 20 ns simulation which is enough to determine the complex stability more precisely. The structural stability of protein-ligand complex was assessed by root mean square deviation (RMSD) which denotes the measure in the average change in displacement of a selection of atoms for a particular frame with respect to a reference frame (
25). The RMSD of Cα of the simulated trajectories is shown in
Figure 6A. The RMSD value of Cα was found to increase up to a value of 6.0 Å with respect to its starting coordinatefor the first 10 ns and stabilize around an average value of 8.0 Å for the rest of the MD trajectories which indicate a significant change in protein backbone compared to crystal structure.
In addition, the root mean square fluctuation (RMSF) of the sidechain of 3EHT is found to be 5.25 Å which indicates a lower degree of flexibility in that region. It suggests lower conformational changes in C-terminal and N-terminal residues. It is clear that ligand’s movement was stable during the simulation. The observed Ligand-protein contacts were depicted in
Figure 6B. Compound
B18 (9-chloro-6-(1-(difluoromethoxy)-2,2,2-trifluoroethyl)-1-(4-methoxy-2-methylphenyl)-1,2,3,4-etrahydrobenzo[4,5]imidazo[1,2-a]pyrimidine) shows hydrogen bonding with Glu196, water bridge with Arg5, Arg283, Glu304 and Asp335. The residues involved in hydrophobic interactions were Trp287, Ala286, Arg283, Pro195, Tyr194, Trp119, Met19, Trp9 and Tyr8. It is evident from the above discussions that hydrophobic and hydrogen bonding interactions are a major contributing factor for stabilizing compound
B18 at the trans-membrane pocket of 3EHT which is in accordance with docking results.
The ligand torsions plot summarizes the conformational evolution of every rotatable bond (RB) in the ligand throughout the simulation trajectory. Each rotatable bond torsion is accompanied by a dial plot and bar plots of the same color. Dial (or radial) plots denotes the probability density of the torsion throughout the simulation.
Physicochemical parameters calculation
In the drug discovery process, the ideal drug candidate under consideration needs to possess high efficacy as well as excellent pharmacokinetic profiles to confirm their action and potency. The acceptable ranges of crucial pharmacokinetic properties and the predicted properties of all selected compounds are listed in Table S3 of supplementary file. All evaluated physicochemical properties were found to be in their permissible range and therefore confirming their drug-like abilities.
3D plot of the common rectangular grid around the nucleus through the kNN-MFA model
Docked compound B18 with the target protein (A) Ligand interaction diagram (B) 3D diagram
The binding pattern of superimposed docked compounds in the binding pocket of 3EHT protein showing H-bond interactions
(A) Timeline representation of RMSD profile of Cα of 3EHT with respect to its coordinates and (B) Ligand-protein contacts of compound B18
Snapshot of ligand torsion profile of compound B18
| Average | Max | Min | StdDev | Sum |
|---|
| 2D QSAR | Activity (Training set) | 7.2188 | 8.1490 | 6.4950 | 0.5033 | 115.5000 |
| Activity (Test set) | 7.4247 | 7.9590 | 6.9590 | 0.4125 | 29.6990 |
| 3D QSAR | Activity (Training set) | 7.2619 | 8.1487 | 6.4949 | 0.5016 | 94.4051 |
| Activity (Test set) | 7.3465 | 7.9586 | 6.6778 | 0.5870 | 29.3860 |
| Statistical parameters | 2D QSAR | 3D QSAR |
|---|
| N (training/test) | 16 | 13 |
| Degree of freedom | 12 | 11 |
| r2 (squared correlation coefficient) | 0.8039 | - |
| q2 (internal predictive ability) | 0.6311 | 0.6013 |
| F test | 16.3927 | - |
| r2_se (correlation coefficient standard error) | 0.2492 | - |
| q2_se (internal predictive ability standard error) | 0.3418 | 0.3167 |
| pred_r2(external predictive ability) | 0.4918 | 0.5338 |
| pred_r2se (standard error) | 0.3394 | 0.4063 |
| k Nearest Neighbour | - | 02 |
| Contributing descriptors | T_N_O_6, T_2_N_6, chi1 | E_1108 |
| Compoundcode | Glide Gscore | No. of H bond | Residues involved in H bond | Other interactions |
|---|
| B1 | -7.159 | 02 | Glu196 | - |
| B2 | -7.487 | 02 | Glu196 | - |
| B3 | -6.547 | 01 | Glu196 | - |
| B4 | -7.395 | 02 | Arg283, Glu196 | - |
| B5 | -7.532 | 01 | Glu196 | - |
| B6 | -8.113 | 01 | Glu196 | Π-cat with Trp9 |
| B7 | -6.194 | 01 | Glu196 | - |
| B8 | -7.908 | 03 | Glu196, Lys334, Glu238 | Π-cat with Arg283 |
| B9 | -7.346 | 02 | Glu196, Lys334 | - |
| B10 | -7.687 | 01 | Glu196 | - |
| B11 | -8.664 | 01 | Asp284 | Π- Π stacking with Trp9, Arg283 and Salt bridge with Asp335 |
| B12 | -8.664 | 01 | Asp284 | Π- Π stacking with Trp9, Arg283 and Salt bridge with Asp335 |
| B13 | -7.967 | 02 | Glu196, Lys334 | - |
| B14 | -8.041 | 03 | Arg5, Glu196, Lys334 | Π-cat with Arg283 |
| B15 | -8.348 | 02 | Arg5, Glu196 | - |
| B16 | -7.602 | 02 | Glu196, Asn199 | - |
| B17 | -7.355 | 02 | Glu196, Lys334 | Π-cat with Arg283 and Π- Π stacking with Trp9 |
| B18 | -8.920 | 02 | Arg5, Glu196 | Π-cat with Arg283 |
| B19 | -7.533 | 02 | Glu196, Lys334 | - |
| B20 | -8.060 | 02 | Glu196, Lys334 | - |
| CP-316,11 | -6.889 | 01 | Asn337 | Π- Π stacking with Tyr194, Trp287 and Salt bridge with Glu305, Glu196 |
| Emicerfont | -6.406 | 02 | Glu238, Lys334 | - |
| Verucerfont | -5.834 | 01 | Asp335 | - |
| Pexacerfont | -3.417 | 01 | Arg5 | Π- Π stacking with Trp287 and Salt bridge with Arg283 |