3D QSAR pharmacophore modeling
Pharmacophore generation
The top scoring model (Hypo1B) for PDE4B inhibition consist of three HBA which established the highest cost difference (143.378), best correlation coefficient (0.9571), maximum fit value (5.8678) and lowest root mean square (RMS) of 1.86 (
Table 1). The results revealed the importance of HBA in PDE4B receptor antagonist activity. The fixed and the null cost values were 236.38 and 509.10, respectively (
Table 1). Difference between these two costs (143.378) was greater than 70 bits which showed that the model has over 90% statistical significance. A good pharmacophore model should also have the configuration cost lower than 17, and it was found to be 12.53 for the generated pharmacophore hypotheses. Hypo1B showed correlation coefficient value of 0.9571, demonstrating its good prediction ability.
Top scoring model (Hypo1D) for PDE4D inhibition consists of two HBA and three H with highest cost difference (164.419), best correlation coefficient (0.9563), maximum fit value (8.1515), and lowest root mean square (RMS) of 1.66 (
Table 2). As in the case of Hypo1B, HBA was found to be important for PDE4D receptor antagonist activity although there is additional H in this case. Difference between fixed and null costs (164.419) showed that the model has over 90% statistical significance. The configuration cost was also sufficiently low at 12.49. Hypo1D showed correlation coefficient value of 0.9563 (
Table 2). Based on statistical parameters Hypo1B and Hypo1D were selected as the best hypothesis for PDE4B and PDE4D inhibition respectively and were employed for further analyses.
Figure 2 shows Hypo1B, and Hypo1D chemical features with their geometric parameters while Molecules with highest and lowest activity in the training set aligned to Hypo1B and Hypo1D are shown in
Figure 3. The prediction accuracy of both the models was verified using the training set and the activity of each molecule in training set was estimated by regression analysis.
The experimental and predicted activities by Hypo1B and Hypo1D for 75 training set molecules are shown in
Tables 3 and
4 respectively. Data clearly shows the good agreement between predicted and experimental IC
50 values.
dFit value indicates how well the features in the pharmacophore overlap the chemical features in the molecule. Fit value = weight x [max(0,1 - SSE)] where SSE = (D/T)2, D = displacement of the feature from the center of the location constraints and T = the radius of the location constraint sphere for the feature (tolerance).
eDifference between the predicted and experimental values. ‘+’ indicates that the predicted IC50 is higher than the experimental IC50; ‘-’ indicates that the predicted IC50 is lower than the experimental IC50; a value of 0 indicates that the predicted IC50 is equal to the experimental IC50.
Close examination of the pharmacophore models Hypo1B and Hypo1D reveals the structural features of an inhibitor which can differentiate well between the two receptors. The conformation which can allow –COOH at R
3 and hydrophobic groups like halogen atoms in the aromatic ring (Ar) to orient properly for interaction with CR3 will show significant selectivity for PDE4B as compared to PDE4D. This is consistent with the findings described previously in the original papers in which these compounds have been reported (
21).
Validation of Hypo1B and Hypo1D
The generated hypotheses were validated using standard methods to check whether the best hypotheses are statistically significant and have considerable predictive ability.
Fischer’s randomization method
Fischer’s randomization was used to evaluate the statistical significance of the Hypotheses. Validation was done by generating random spreadsheets for training set molecules, which randomly reassigned activity values to every molecule and subsequently generated the hypotheses using the same features and parameters originated for Hypo1B and Hypo1D. All the randomly generated spreadsheets had higher total cost values and lower correlation coefficient values as can be seen clearly from
Figure 4. This suggests that Hypo1B and Hypo1D were not generated by chance.
Test set
Test set was prepared using the same protocol as training set and used to determine whether the hypotheses were able to predict the active molecules other than those present in the training set.
The correlation coefficient (r) for the test set given by Hypo1B was 0.8579 (
Table 5) while that by Hypo1D was 0.8299 (
Table 6). Test set molecules were classified using the same criteria as used for training set molecules. Thus Hypo1B and Hypo1D were able to estimate the PDE4B and PDE4D inhibition activities respectively with reasonable accuracy.
Virtual Screening
Zinc, a comprehensive database of small drug like molecules was used for the sequential virtual screening using the pharmacophore models. Screening of zinc database using the validated pharmacophore model (Hypo1B) of PDE4B inhibitors retrieved a set of 6015 hits, mapping to the pharmacophore model Hypo1B. The hits comprised of some compounds structurally similar to that of the existing PDE4B inhibitors, and some novel scaffolds.
The 397 hit compounds showing Hypo1B estimated IC
50 less than 20 nM were selected and subsequently subjected to screening using the validated pharmacophore model Hypo1D. 5 hit compounds that showed Hypo1 PDE4D estimated fit value less than 4 were identified (
Figure 5). Among the hits ZINC09157416 demonstrated the best PDE4B selectivity based on the hit values (
Table 7). ZINC09157416 aligned with Hypo1B and Hypo1D is shown in
Figure 6.
The results of docking studies of ZINC09157416 and 34b with PDE4B and PDE4D further confirmed the selectivity of ZINC09157416 for PDE4B over PDE4D (
Table 8).