QSAR model
Several QSAR models were generated with a large value of the coefficient of determination; however, a model that is robust, efficient, and more reliable model was chosen as the best model based on the significance of its parameters since it has the largest value of R
2 = 0.9465, R
2Adj = 0.9304, Q
2cv = of 0.8981, Q
2 (L4O)cv = 0.9272, and R
2ext = 0.6915. The robustness and the predictive capacity of the QSAR model were predicted through the statistical parameters. The chosen model is presented below with the names, definitions, and coefficients of the descriptors listed in
Table 2.
pEC50 = 5.79415(ATSC5c) - 9.38708(MATS5e) + 12.85927(GATS8i) - 10.11181(SpMax2_Bhp) + 18.90418(PetitjeanNumber) + 1.54996(XLogP) + 18.22399
N = 27, R2 = 0.9465, R2Adj = 0.9304, Q2cv = 0.8981, Q2 (L4O)cv = 0.9272, LOF = 0.4280, R2ext = 0.6915, Next = 7
Model Validation
The high value of Q
2cv (0.8981), and that of Q
2 (L4O)cv = 0.9272 are indicators of good internal validations; the model was utilized externally to predict the activity of an external set which is reflected in the squared regression coefficient of the test set, R
2ext (0.6915). These results are a strong indication of the exclusive (internal and external) validation of a model. The plot of predicted activity against the experimental activity revealed a cluster of data points around the legend line, as shown in
Figure 1, indicating the robustness and strength of the selected model. The small difference between the experimental and predicted activity (
Table 1) emphasizes the accuracy of the model. Also, the Y-randomization test carried out shows the values of R
2 and Q
2 obtained after 15 repetitions are far smaller than their values in the model, confirming that the model does not occur by chance.
Descriptors correlation matrix and Varia-nce inflation factor (VIF)
The low variance in the correlation matrix (
Table 3) between the model’s descriptors reveals a non-mutual relationship among the descriptors, which was supported by low values of calculated descriptors VIF (< 10) as found in
Table 3. Indicating that the descriptors are found to be orthogonal (
22), as such the model is statistically significant.
Applicability Domain (AD) of the model
The model application limit defined by the applicability domain reflects the presents of the data sets within space, with no data point located outside the domain, as reflected in
Figure 2. The threshold (h*) leverage is estimated for 0.778, beyond which the applicability of the models fails. Therefore, the whole dataset was found to possess decent leverage values and is within the model’s space, affirming the model’s predictive strength.
Interpretation and contribution of descri-ptors
The activity of the model, pEC
50 = 5.79415(ATSC5c)-9.38708(MATS5e)+ 12.85927(GATS8i)- 10.11181 (SpMax2_Bhp) + 18.90418 (PetitjeanNumber) +1.54996(XLo-gP) +18.22399, is determined by the constituent descriptors ATSC5c, MATS5e, GATS8i, SpMax2_Bhp, PetitjeanNumber, and XLogP. The first descriptor, ATSC5c, which is defined as centered Broto–Moreau autocorrelation—lag 5/weighted by charges. The descriptor is related to the polarization of the molecules caused by highly electronegative elements present in a compound. The descriptor has a mean effect of MF = -0.3262 (
Table 3) which indicates the activity increases with a decrease in the numeric values of the descriptors. The second descriptor, MATS5e belongs to the autocorrelation, and it describes the dependence of the compound on electronegativity (
29). The autocorrelation descriptors check out the dependence of properties in one special molecule with the neighbor molecule and detect the conformity of the molecules (
30). The mean effect (MF) analysis revealed the descriptor to have made MF = 0.0717 contribution. The positive sign of the MF indicates a positive contribution to the antimalarial activity. Hence, an increase in the value of the descriptor increases the antimalarial activity. The descriptor, GATS8i is a Geary autocorrelation of lag 8 weighted by first ionization potential. The 2D autocorrelation descriptors explained how the values of certain functions (topological distance) at intervals equal to the lag (atomic properties) were correlated. The analysis of the descriptors contribution yields the MF = -1.0598. The negative sign of the mean effect ensures the increase of activity with decrease descriptor values. SpMax2_Bhp is a Barysz matrix type descriptor in which the maximum absolute eigenvalue of Barysz matrix for n = 2 was weighted by polarizability (
18). Analysis of the mean effect confirms SpMax2_Bhp to be the most contributive descriptor with MF = 3.3244, whose increase in numerical value increases the activity of compounds due to the positive MF. The value of shape parameter PetitjeanNumber increases when the substituents are changed from F, Cl to CF
3, -OCH
3 at a ring and hence increases the activity (
31). The negative mean effect (MF = -0.7846) implies decreasing the descriptor values to increase the activity of the compound. The last descriptor, XlogP signifies the ratio of solute concentration in octanol & water and generally termed as octanol-water partition coefficient. The negative mean effect (MF = -0.2254) indicates decreasing the descriptor values to increase the compound activity.
Molecular design
The compound with the highest activity (pEC
50 = 8.301), compound 25 presented in
Figure 3, was adopted as the design template. The descriptor, SpMax2_Bhp (a descriptor in which the maximum absolute eigenvalue of Barysz matrix for n = 2 was weighted by polarizability), was established as the most influential descriptor, was employed in the design of many speculative derivatives of Azetidine-2-carbonitriles. The descriptor relates to the polarizability of a molecule, and since it has a positive mean effect, increasing the polarizability of the compounds should be able to increase the antimalarial activity. Hence, polarizability can increase through the substitution of various electron deactivating groups (F, I, Cl, SO
3H, CN, NO
2, etc) at different positions of the template. This lead to the design of sixteen [16] speculative derivatives of the template as depicted in
Table 4. Ten of the design derivatives (D3-4, D8-13, and D15-16) have better activity than the template. The compound D13 {(2S,3S,4S)-2-cyano-3-(2’-fluoro-4’-phenoxy-[1,1’-biphenyl]-4-yl)-4-(hydroxymethyl)-N-propylazetidine-1-carboxamide}, was found to have better antimalarial activity, (pEC
50 = 9.8641) than those of the design template (pIC
50 = 8.301), co-designed compounds as well as the chloroquine standard (pEC
50 = 6.0242) as reflected in
Table 4.
Docking Protocol Validation
The validation of the docking protocols was conducted to ascertain the docking method through the determination of the deviation of the re-docking output from the original docking pose. The deviation expressed as the root mean square deviation (RMSD) value produces the RMSD value of 1.895Å. This, therefore, validate the protocols employed in the docking and can be deployed in docking the designed ligands.
Docking Analysis
The binding conformation of the design derivatives to the binding site of the target protein is discussed in the docking analysis. The structure of Plasmodium falciparum dihydroorotate dehydrogenase (Pf-DHODH) with the target site is reflected in
Figure 4. Moreover, the docking result of the designed derivatives, template, and standard drug was shown in
Table 5. The interactions of the ligand and the protein residues are analyzed, where hydrogen attached to either the hydroxyl or the Azetidine ring in most ligands showed H-bond interaction with Asp204 or Asp200 active site of the residues. The oxygen of the nitro in all the ligands shows H-bond interaction with either Lys305, Lys239, Lys559, Thr201, Ile206, Met536, Gly535, Asp216, or Asn195 active site residue, except in ligands D2, D3, D12, D13, D14, and D15. H-bond interaction could also be observed between the protein active site Lys239, Lys305, or Leu302 and Oxygen of N-propylacetamide of the ligands. Almost all compounds bar D1, D4, D11, D14, and D16, show H-bond interaction between the Asp200, Asp204, Ser202, Ser477, Ile218, Lys239, and Leu238 active site with methylene hydrogen of hydroxymethyl group of the compounds. Likewise, the oxygen of the hydroxyl group of the D2, D3, D14, and D15 ligands results in H-bond formation with Lys543, Lys239, Asn203, and Gly241 active sites of the protein residue. Seven of the designed derivatives, D2 (-150.8650 kcal/mol), D7 (-140.8770 kcal/mol), D9 (-177.0910 kcal/mol), D10 (-164.6990 kcal/mol), D12 (-150.2670 kcal/mol), D13 (-146.0110 kcal/mol), and D15 (-158.7300 kcal/mol), were found to possess higher binding affinity than the design template (-120.2690 kcal/mol) and the chloroquine standard (-140.3940 kcal/mol). Compound D9 was found to have the highest binding affinity (-177.0910 kcal/mol), as shown in
Table 5. Hence, form better interaction than other designed derivatives as well as the standard chloroquine drug. Four H-bond in addition to several hydrophobic interactions were observed between D9 and the protein residue, two of which are conventional, between the oxygen of the nitro group of the ligand with Met536 protein residue, bond distance 2.28Å also, the interaction between the hydrogen of the methylene bridge bonded to a hydroxyl group of the ligand and Ser477 active site with bond distance 1.76Å. The other two interactions are carbon-hydrogen bonding between the oxygen of the ligand nitro group, hydrogen of N-propylacetamide with Gly535 bond distance 2.70Å, and Ala225, bond distance 2.60Å, respectively. Lastly, an unfavorable bump exists between the Asn274 residues with methylene hydrogen, which could add to the observer binding affinity. The binding modes for the best compound, D9, are presented in
Figure 5. These interactions show the binding role of oxygen, hydrogen, and carbon atoms as well as their strength of inhibition.
Drug-likeness ADME predictions
The results of Lipinski’s parameters, drug-likeness as well as the
in-silico ADMET screening predicted for the designed derivatives of Azetidine-2-carbonitriles were depicted in
Table 6. The results show that all the designed derivatives obeyed Lipinski’s rule of five, hence possess excellent drug-like properties (
32), other parameters like molar refractivity (MR), and the number of rotatable bonds (nRotB) were determined in addition to Lipinski’s parameters. Molar refractivity measures both the ease of polarization and volume of a compound; it ranges between 40 -130 (
33). The rule is deployed to assess the drug-likeness of a drug candidate (
34). The nRotB measures the molecular flexibility of the molecule, which should be ≤ 10. The violation of more than one rule of five by a drug candidate is a pointer to the poor oral absorption of the candidate. The great combination of membrane permeability and oral bioavailability are functions of the Log of octanol/water partition coefficient (LogP), Molecular weight (MW), and Total polar surface area (TPSA) values. In addition to the role played by hydrogen bond acceptor (HBA) and hydrogen bond donor (HBD) in determining the hydrophobicity, membrane permeability, and the bioavailability of drug candidates. The results in
Table 6 indicate that all compounds are within the parameter range of MW ≤ 500 Da, LogP < 5, nHBD ≤ 5, nHBA ≤ 10, and TPSA < 140 Å
2. This shows that the design derivatives are not only bioavailable, they are also membrane-permeable besides their hydrophobicity nature. The predicted ADME values (
Table 6) have the skin permeability (log Kp) for the design compounds to be within -6.31 to -5.69 cm/s, lying between the acceptance range –8.0 to –1.0 cm/s (
35). With the values of the nRotB ≤10, those of the MR were slightly outside the range. While most compounds showed low gastrointestinal absorption with only compounds D1-3, D13-15 that have high absorption, only a few compounds, D1, D2, D3, D14, and D15, show inhibition to CYP1A2.
| Descriptor name | Type | Notation | Coefficient |
|---|
| Constant | 18.22 |
|---|
| 1 | Centered Broto-Moreau autocorrelation - lag 5/weighted by charges | 2D-Autocorrelation | ATSC5c | 5.79 |
| 2 | Moran autocorrelation - lag 5/weighted by Sanderson electronegativities | 2D-Autocorrelation | MATS5e | -9.39 |
| 3 | Geary autocorrelation - lag 8/weighted by first ionization potential | 2D-Autocorrelation | GATS8i | 12.86 |
| 4 | Largest absolute eigenvalue of Barysz matrix - n 2 / weighted by relative polarizabilities | Barysz matrix | SpMax2_Bhp | -10.11 |
| 5 | Petitjean number | Petitjean number | PetitjeanNumber | 18.90 |
| 6 | XLogP | XLogP | XLogP | 1.55 |
| pEC50 | ATSC5c | MATS5e | GATS8i | SpMax2_Bhp | PetitjeanNumber | XLogP | VIF | MF |
|---|
| pEC50 | 1 | | | | | | | | |
| ATSC5c | 0.0516 | 1 | | | | | | 2.3640 | -0.3262 |
| MATS5e | 0.0729 | 0.5890 | 1 | | | | | 3.0033 | 0.0717 |
| GATS8i | 0.2138 | -0.1170 | 0.3532 | 1 | | | | 2.6423 | -1.0598 |
| SpMax2_Bhp | 0.2163 | -0.0471 | -0.1380 | 0.2733 | 1 | | | 1.8832 | 3.3244 |
| Petitjean Number | 0.3992 | 0.0425 | 0.0150 | 0.2741 | 0.1633 | 1 | | 1.1472 | -0.7846 |
| XLogP | 0.7071 | -0.0473 | -0.0205 | -0.2401 | 0.3923 | -0.0038 | 1 | 1.7121 | -0.2254 |
| Compound No. | MolDock Score (kcal/mol) | No. of H-Bonds | Amino acid involved | Atom of ligands | H-bond length (Å) |
|---|
| D1 | -128.8790 | 2 | Lys305 | O of NO2 | 2.48 |
| | | Asp204 | H of OH | 2.14 |
| D2 | -150.8650 | 11 | Lys543 | O of OH | 2.75 |
| | | Lys543 | O of OH | 2.76 |
| | | Ser202 | H of OH | 2.14 |
| | | Leu302 | H of Amide | 2.49 |
| | | Lys239 | O of N-propylacetamide | 2.71 |
| | | Leu302 | N of CN | 2.65 |
| | | Asp200 | H of CH2 of hydroxyl methyl | 3.00 |
| | | Ser202 | H of CH2 of hydroxyl methyl | 2.64 |
| | | H | O | 2.41 |
| | | Asp204 | H of Azetidine ring | 2.83 |
| | | Leu302 | H of N-propylacetamide | 2.89 |
| D3 | -128.8700 | 3 | Asp200 | H of OH | 1.74 |
| | | Lys239 | O of OH | 2.84 |
| | | Asp200 | H of the CH2 of hydroxymethyl | 2.54 |
| D4 | -133.4450 | 3 | Lys305 | O of N-propylacetamide | 2.42 |
| | | Asp204 | H of OH | 2.13 |
| | | Thr201 | O of NO2 | 2.83 |
| D5 | -122.6040 | 5 | Lys305 | O of N-propylacetamide | 2.33 |
| | | Asp204 | H of OH | 2.17 |
| | | Thr201 | O of NO2 | 2.46 |
| | | Thr201 | O of NO2 | 3.08 |
| | | Asp204 | H of the CH2 of hydroxymethyl | 2.79 |
| D6 | -139.4120 | 4 | Leu238 | H of OH | 2.46 |
| | | Ile206 | O of NO2 | 2.67 |
| | | Asp200 | H of the CH2 of hydroxymethyl | 2.10 |
| | | Asp200 | H of Azetidine ring | 2.55 |
| D7 | -140.8770 | 3 | Leu238 | H of OH | 2.38 |
| | | Asp200 | H of the CH2 of hydroxymethyl | 2.20 |
| | | Asp200 | H of Azetidine ring | 2.32 |
| D8 | -124.5920 | 6 | Lys239 | O of NO2 | 2.46 |
| | | Lys305 | O of N-propylacetamide | 2.69 |
| | | Lys305 | O of N-propylacetamide | 2.55 |
| | | Asp204 | H of OH | 1.64 |
| | | H | O of OH | 3.09 |
| | | Ile218 | H of the CH2 of hydroxymethyl | 2.96 |
| D9 | -177.0910 | 4 | Met536 | O of NO2 | 2.28 |
| | | Ser477 | H of the CH2 of hydroxymethyl | 1.76 |
| | | Gly535 | O of NO2 | 2.70 |
| | | Ala225 | H of N-propylacetamide | 2.60 |
| D10 | -164.6990 | 7 | Lys559 | O of NO2 | 2.36 |
| | | Leu238 | H of OH | 2.10 |
| | | Asp200 | H of Amide | 2.02 |
| | | Asp216 | O of NO2 | 2.90 |
| | | Asp200 | H of the CH2 of hydroxylmethyl | 2.56 |
| | | Lys239 | H of the CH2 of hydroxylmethyl | 2.96 |
| | | Asp200 | H of Azetidine ring | 2.38 |
| D11 | -125.9140 | 4 | Asn195 | O of NO2 | 2.44 |
| | | Lys239 | O of NO2 | 1.97 |
| | | Lys305 | O of N-propylacetamide | 2.35 |
| | | Asp204 | H of OH | 2.20 |
| D12 | -150.2670 | 6 | Lys305 | O of Oxydibenzene | 2.71 |
| | | Lys239 | H of OH | 2.14 |
| | | Asp200 | H of Amide | 2.08 |
| | | Leu238 | H of the CH2 of hydroxymethyl | 2.88 |
| | | Asp200 | H of Azetidine ring | 2.10 |
| | | H | O of OH | 2.80 |
| D13 | -146.0110 | 4 | Asp200 | H of OH | 1.75 |
| | | Leu302 | N of CN | 2.73 |
| | | Ser202 | H of the CH2 of hydroxymethyl | 2.25 |
| | | Asp204 | H of Azetidine ring | 2.90 |
| D14 | -137.2260 | 7 | Thr201 | H of OH | 1.97 |
| | | His306 | H of Amide | 2.59 |
| | | Asn203 | O of OH | 2.91 |
| | | H of CH2 of hydroxymethyl | O of N-propylacetamide | 2.62 |
| | | Ser202 | H of Azetidine ring | 2.88 |
| | | Leu302 | O of N-propylacetamide | 2.85 |
| | | Asp204 | H of a delocalized benzene ring | 2.99 |
| D15 | -158.7300 | 6 | Leu238 | H of OH | 2.09 |
| | | Asp200 | H of Amide | 2.14 |
| | | Gly241 | O of OH | 2.43 |
| | | Asp200 | H of the CH2 of hydroxymethyl | 2.45 |
| | | Lys239 | H of the CH2 of hydroxymethyl | 2.89 |
| | | Asp200 | H of Azetidine ring | 2.42 |
| D16 | -134.8030 | 3 | Lys239 | O of NO2 | 1.89 |
| | | Lys305 | O of N-propylacetamide | 2.48 |
| | | Asp204 | H of OH | 2.13 |
| Template | -120.2690 | 3 | Lys305 | O of N-propylacetamide | 2.56 |
| | | Asp204 | H of OH | 2.17 |
| | | Asp204 | H of the CH2 of hydroxymethyl | 2.97 |
| Chloroquine | -140.3940 | 2 | His185 | N of Quinoline ring | 1.54 |
| | | Val532 | H of amine | 2.67 |
| Lipinski’s parameters | MR | log Kp (cm/s) | nRotB(≤10) | GI absorption | CYP1A2 inhibitor |
|---|
| S/N | MW (≤500 Da) | MLogP (<5) | nHBD (≤5) | nHBA (≤10) | TPSA (<140 Å2) | Lipinski Violation |
|---|
| D1 | 475.97 | 3.42 | 2 | 4 | 85.59 | 0 | 135.82 | -5.69 | 9 | High | Yes |
| D2 | 475.97 | 3.42 | 2 | 4 | 85.59 | 0 | 135.82 | -5.69 | 9 | High | Yes |
| D3 | 475.97 | 3.42 | 2 | 4 | 85.59 | 0 | 135.82 | -5.69 | 9 | High | Yes |
| D4 | 486.52 | 2.07 | 2 | 6 | 131.41 | 0 | 139.64 | -6.31 | 10 | Low | No |
| D5 | 486.52 | 2.07 | 2 | 6 | 131.41 | 0 | 139.64 | -6.31 | 10 | Low | No |
| D6 | 486.52 | 2.07 | 2 | 6 | 131.41 | 0 | 139.64 | -6.31 | 10 | Low | No |
| D7 | 486.52 | 2.07 | 2 | 6 | 131.41 | 0 | 139.64 | -6.31 | 10 | Low | No |
| D8 | 486.52 | 2.07 | 2 | 6 | 131.41 | 0 | 139.64 | -6.31 | 10 | Low | No |
| D9 | 520.96 | 2.53 | 2 | 6 | 131.41 | 1 | 144.65 | -6.08 | 10 | Low | No |
| D10 | 520.96 | 2.53 | 2 | 6 | 131.41 | 1 | 144.65 | -6.08 | 10 | Low | No |
| D11 | 520.96 | 2.53 | 2 | 6 | 131.41 | 1 | 144.65 | -6.08 | 10 | Low | No |
| D12 | 520.96 | 2.53 | 2 | 6 | 131.41 | 1 | 144.65 | -6.08 | 10 | Low | No |
| D13 | 459.51 | 3.32 | 2 | 5 | 85.59 | 0 | 130.77 | -5.96 | 9 | High | No |
| D14 | 567.42 | 3.61 | 2 | 4 | 85.59 | 1 | 143.53 | -6.23 | 9 | High | Yes |
| D15 | 520.42 | 3.51 | 2 | 4 | 85.59 | 1 | 138.51 | -5.91 | 9 | High | Yes |
| D16 | 565.42 | 2.63 | 2 | 6 | 131.41 | 1 | 147.34 | -6.31 | 10 | Low | No |
Experimental pEC50 plotted against predicted pEC50 for the dataset
The plot of the standardized residuals against leverages
Design template, Compound 25, (2S,3S,4S)-2-cyano-4-(hydroxymethyl)-3-(4'-phenoxy-[1,1'-biphenyl]-4-yl)-N-propylazetidine-1-carboxamide, with pEC50 = 8.301
Ribbon diagram showing the indolyl-3-ethanone-α-thioethers binding site on PfDHODH. Indolyl-3-ethanone-α-thioethers is displayed as IEαT, FMN, and L-orotate
3- and 2-Dimensional docking pose of the interactions between D9 and the active site of the amino acid residues