Ab initio study of ligand-receptor interactions
To obtain a binding profile between a Motesanib and VEGFR-2 active site, relevant amino acids were chosen on the basis of information from Protein Data Bank (PDB). The representation of the Motesanib structure in the active site of VEGFR-2 was further confirmed via schematic 2D interaction profile generated by LIGPLOT
Figure 1.
2D representation of ligand-receptor interactions for Motesanib in VEGFR-2 active site
The directionality of hydrogen bonds including optimum distances and angles supports efficient interactions with receptor. Bearing this in mind, the optimization process was done with the same basis set to obtain the exact geometry of H-bonds. The related data are summarized in
Table 1. Hydrogen bond geometries were described as H-donor-acceptor angles. It should be noted that hydrogen bond lengths were obtained considering H-acceptor distances.
| Amino acid | Optimized hydrogen bond distances (Å) state | hydrogen bond angle (degree) |
|---|
| Glu885 | 2.11 | 11.66 |
| Asp1046 | 2.04 | 9.60 |
| Cys919 | 2.19 | 5.21 |
Ligand-residue binding energies (ΔEb) were calculated using the following equation:
E
LR stands for residue-ligand interaction energy, E
R and E
L indicate the electronic energies for residues and ligand, respectively. Individual ligand-residue binding energies are shown in
Figure 2.
Individual residue-ligand interaction energies for Motesanib and VEGFR-2.
Lipophilic contacts are a function of orientation, constant/induced dipole moments and distance (
36). Attractive hydrophobic interaction was made between AMG 706 and Ala866 residue (-0.56 cal/mol). Regarding the obtained results, one may assume that electrostatic hydrogen bonding interactions may have significant contribution to total binding energy between AMG 709 and receptor. For Leu889, Val899, Val916 and Leu1035 the positive binding energies might be related to an inappropriate orientation of ligand in the active site of receptor (crystallographic state). It should be noticed that molecular dynamic may assist in balancing these close contacts which are responsible for repulsive interactions with receptor.
The role of cation-pi interaction as a force for molecular recognition in biological media has been revealed via studies on model systems and the analysis of biological macromolecular structures (
36). In Lys868 the quaternary amine moiety might be responsible for observed cation-π interaction with central pyridine ring of AMG 709 (-3.93 kcal/mol). Binding pose of the ligand revealed that nitrogenous cation centered on the top of the π face of pyridine ring (
Figure 3). Our estimated energy for the associated cation-π interaction correlated well with previously reported data (
37), but might be less than accepted values (
38). This energy difference might be attributed to the existence of pyridine lone pair. In pyridine, the lone pair does not participate in aromaticity and thus electronegativity of the heteroatom wins out and weakens the cation-π binding ability.
3D representation of cation-π interaction between Lys868 and Motesanib
The deprotonated Glu885 is the most significant residue for enzyme-inhibitor interactions due to the strong hydrogen bond with the amide NH in AMG 706. Typical charge-assisted hydrogen bond between Glu885 and amide NH was found to be supported by significant binding energy of -26.82 kcal/mol. Another important H-bond between Asp1046 and amide oxygen was associated with -12.96 kcal/mol interaction energy. In the case of Cys919 residue, the observed binding energy was estimated to be -9.06 kcal/mol. In fact hydrogen bonding interaction with Cys919 from H-donor group of the inhibitor is the key feature of VEGFR inhibitors (
39).
In ligand-receptor interaction, stereoelectronic effects are prominent in determining complementary potential electrostatic surfaces. Ligand electronic structure may address its proper orientation in the enzyme active site and potent inhibition would be expected regarding proper fitness of the ligand and electronic surfaces of the active site.
Mulliken partial electronic charges were assigned to the constituent atoms of compound AMG 709 (
Figure 4) (
40). It should be noted that atoms participated in key bindings with Asp1046, Glu885 (charge-assisted interactions) and Cyc919 residues possessed relatively negative electronic charges.
Mulliken partial charge distribution for Motesanib heavy atoms
Comparative conformational analysis
We decided to quantify the conformational divergence of AMG 709 upon binding to the VEGFR-2 active site. For this purpose, aqueous biological medium was modeled in our ligand optimization procedure. Estimated binding energies for compound AMG 709 may be a direct outcome of varied internal energies of ligand in its protein bound and free states within biological media (ΔEinstability). ΔEinst. can be defined as an energy difference for ligand in its free and protein bound states within aqueous medium. ΔEinst. needs to be considered in order to adjust obtained binding energies. Water was selected as a biological medium for this purpose.
For the purpose of calculating ΔEinst., optimum structural conformation of compound AMG 709 was obtained in water and relevant energy was assigned to the free state . In the next step, the energy of receptor bound ligand was obtained in the crystallographic state. ΔEinst. may be well related with the free energy of binding via following equations:
Higher ΔE
inst. values support more positive total binding energies (ΔE
tb) consequently leading to weaker ligand-receptor interactions in terms of free binding energies (ΔG
b). Our calculations showed that AMG 709 tolerated 8.91 kcal/mol instability to gain the appropriate conformation in binding to the receptor. Based on the obtained results, ΔE
tb was found to be -40.36 kcal/mol. Two conformational poses of the ligand are depicted in
Figure 5.
Conformational structure deviation of Motesanib in VEDFR-2 active site (up), and optimized conformer (down).
However the difference between ΔEtb and ΔGb values associated with relevant ligand may account for the participation of solvation in binding profile. In the light of the above information, solvation energy of Motesanib molecule needs must be taken into account for the correlation of ΔEtb and ΔGb terms. This result might further demonstrate the important role of solvent molecules in determining final free binding energy of ligand-receptor system.
The estimated conformational change of ligand structure upon binding to the receptor was evaluated in a more detailed way via performing comparative conformational analysis of the molecular geometries. For this purpose, optimized 3D structure of AMG 709 was obtained by DFT calculations via B3LYP method in association with split valence basis set using polarization functions (Def2-SVP). Frequency calculation with same basis set was performed to confirm the optimized structure. All frequencies were real and no imaginary frequency was seen. The resulted geometric poses in terms of bond lengths and dihedral angles are summarized in
Tables 2 and
3. It should be noticed that due to the uncertainty in the delicate position of hydrogen atoms in crystallographic file, associated data have not been shown in Tables. We found that all the calculated bond lengths of the DFT optimized structure were in adaptable correlation with the crystallographic data.
The varied dihedral angles between optimized and crystallographic ligand poses would be expected upon binding to the receptor active site. AMG 709 adapted some torsional distortions to get proper oriented pharmacophoric points. These well-oriented functional groups might be critical in achieving optimum key interactions with the residues of the VEGFR-2 active site.
Regarding the data in
Table 3, some relatively significant angular deviations may be noticed. The observed rotation of C15-C16 bond (
Figure 5) let to the noticeable change in C8(13)-C15-N16-C18 dihedral angel (
Table 3). This conformational distortion occurred at the amide linker.
All the mentioned conformational changes occurred in the structural moieties participated in interactions with key amino acids of VEFGFR-2 active site (
Figure 1).
| Dihedral angle | Angle (degree)
| Dihedral angle | Angle (degree)
| Optimized state |
|---|
| Crystallographic state | Optimized state | |
|---|
| H42-C1-C2-C3 | - | 56.282 | C8-C15-N16-C18 | -134.086 | -178.173 |
| H42-C1-C2-C4 | - | -67.538 | C13-C15-N16-H17 | - | 176.423 |
| H42-C1-C2-C10 | - | -177.279 | C13-C15-N16-C18 | 52.015 | 2.511 |
| H43-C1-C2-C3 | - | -63.575 | C15-N16-C18-O19 | 1.241 | 3.4426 |
| H43-C1-C2-C4 | - | 172.605 | C15-N16-C18-C20 | -178.813 | -177.293 |
| H43-C1-C2-C10 | - | 62.862 | H17-N16-C18-O19 | - | -170.398 |
| H44-C1-C2-C3 | - | 176.567 | H17-N16-C18-C20 | - | 8.8673 |
| H44-C1-C2-C4 | - | 52.747 | N16-C18-C20-C21 | 15.753 | 23.472 |
| H44-C1-C2-C10 | - | -56.995 | N16-C18-C20-C28 | -166.812 | -158.203 |
| C1-C2-C3-H45 | - | 178.045 | O19-C18-C20-C21 | -164.298 | -157.260 |
| C1-C2-C3-H46 | - | 57.839 | O19-C18-C20-C28 | 13.136 | 21.065 |
| C1-C2-C3-H47 | - | -61.358 | C18-C20-C21-H22 | - | 3.080 |
| C4-C2-C3-H45 | - | -59.025 | C18-C20-C21-C23 | 177.361 | -178.980 |
| C4-C2-C3-H46 | - | -179.231 | C28-C20-C21-H22 | - | -175.305 |
| C4-C2-C3-H47 | - | 61.572 | C28-C20-C21-C23 | -0.114 | 2.635 |
| C10-C2-C3-H45 | - | 53.925 | C18-C20-C28-N27 | -177.196 | 177.765 |
| C10-C2-C3-H46 | - | -66.282 | C18-C20-C28-N29 | 2.607 | -1.169 |
| C10-C2-C3-H47 | - | 174.522 | C21-C20-C28-N27 | 0.280 | -3.815 |
| C1-C2-C4-N5 | -101.759 | -88.860 | C21-C20-C28-N29 | -179.918 | 177.251 |
| C1-C2-C4-H48 | - | 31.355 | C20-C21-C23-H24 | - | -179.516 |
| C1-C2-C4-H49 | - | 151.806 | C20-C21-C23-C25 | -0.052 | -0.028 |
| C3-C2-C4-N5 | 133.531 | 148.232 | H22-C21-C23-H24 | - | -1.559 |
| C3-C2-C4-H48 | - | -91.553 | H22-C21-C23-C25 | 179.979 | 177.928 |
| C3-C2-C4-H49 | - | 28.898 | C21-C23-C25-H26 | - | 179.086 |
| C10-C2-C4-N5 | 15.886 | 27.029 | C21-C23-C25-N27 | 0.058 | -1.787 |
| C10-C2-C4-H48 | - | 147.243 | H24-C23-C25-H26 | - | -1.424 |
| C10-C2-C4-H49 | - | -92.305 | H24-C23-C25-N27 | - | 177.703 |
| C1-C2-C10-C7 | 102.711 | 98.816 | C23-C25-N27-C28 | 0.113 | 0.682 |
| C1-C2-C10-C11 | -74.692 | -78.169 | H26-C25-N27-C28 | - | 179.846 |
| C3-C2-C10-C7 | -133.134 | -136.914 | C25-N27-C28-C20 | -0.285 | 2.216 |
| C3-C2-C10-C11 | 49.463 | 46.101 | C25-N27-C28-N29 | 179.914 | -178.813 |
| C4-C2-C10-C7 | -15.307 | -17.309 | C20-C28-N29-H30 | - | -8.165 |
| C4-C2-C10-C11 | 167.290 | 165.705 | C20-C28-N29-C31 | 171.865 | -177.332 |
| C2-C4-N5-H6 | - | -161.533 | N27-C28-N29-H30 | - | 172.857 |
| C2-C4-N5-C7 | -12.375 | -28.598 | N27-C28-N29-C31 | -8.334 | 3.690 |
| H48-C4-N5-H6 | - | 77.305 | C28-N29-C31-C32 | 94.086 | 102.346 |
| H48-C4-N5-C7 | - | -149.760 | C28-N29-C31-H50 | - | -135.519 |
| H49-C4-N5-C6 | - | -43.223 | C28-N29-C31-H51 | - | -19.574 |
| H49-C4-N5-C7 | - | 89.712 | H30-N29-C31-C32 | - | -66.239 |
| C4-N5-C7-C8 | -170.367 | -163.627 | H30-N29-C31-H50 | - | 55.896 |
| C4-N5-C7-C10 | 2.573 | 18.132 | H30-N29-C31-H51 | - | 171.841 |
| H6-N5-C7-C8 | - | -31.016 | N29-C31-C32-C33 | 5.187 | -4.398 |
| H6-N5-C7-C10 | - | 150.744 | N29-C31-C32-C40 | -173.633 | 175.611 |
| N5-C7-C8-H9 | - | 2.343 | H50-C31-C32-C33 | - | -126.654 |
| N5-C7-C8-C15 | 171.649 | -177.916 | H50-C31-C32-C40 | - | 53.354 |
| C10-C7-C8-H9 | - | -179.584 | H51-C31-C32-C33 | - | 116.660 |
| C10-C7-C8-C15 | -0.751 | 0.156 | H51-C31-C32-C40 | - | -63.331 |
| N5-C7-C10-C2 | 8.568 | 0.493 | C31-C32-C33-H34 | - | 0.520 |
| N5-C7-C10-C11 | -173.683 | 177.903 | C31-C32-C33-C35 | -178.533 | -179.807 |
| C8-C7-C10-C2 | -177.684 | -177.894 | C40-C32-C33-H34 | - | -179.489 |
| C8-C7-C10-C11 | 0.066 | -0.484 | C40-C32-C33-C35 | 0.297 | 0.184 |
| C7-C8-C15-C13 | 1.044 | -0.027 | C31-C32-C40-C38 | 178.603 | 179.705 |
| C7-C8-C15-N16 | -172.919 | -179.364 | C31-C32-C40-H41 | - | -0.199 |
| H9-C8-C15-C13 | - | 179.715 | C33-C32-C40-C38 | -0.223 | -0.288 |
| H9-C8-C15-N16 | - | 0.378 | C33-C32-C40-H41 | - | 179.809 |
| C2-C10-C11-H12 | - | -3.188 | C32-C33-C35-H36 | - | -179.948 |
| C2-C10-C11-C13 | 177.471 | 177.413 | C32-C33-C35-N37 | -0.201 | 0.009 |
| C7-C10-C11-H12 | - | -179.917 | H34-C33-C35-H36 | - | -0.274 |
| C7-C10-C11-C13 | 0.316 | 0.684 | H34-C33-C35-N37 | - | 179.683 |
| C10-C11-C13-H14 | - | 179.731 | C33-C35-N37-C38 | 0.036 | -0.095 |
| C10-C11-C13-C15 | -0.019 | -0.558 | H36-C35-N37-C38 | - | 179.863 |
| H12-C11-C13-H14 | - | 0.323 | C35-N37-C38-H39 | - | -179.957 |
| H12-C11-C13-C15 | - | -179.966 | C35-N37-C38-C40 | 0.031 | -0.018 |
| C11-C13-C15-C8 | -0.654 | 0.224 | N37-C38-C40-C32 | 0.070 | 0.214 |
| C11-C13-C15-N16 | 173.284 | 179.508 | N37-C38-C40-H41 | - | -179.882 |
| H14-C13-C15-C8 | - | 179.938 | H39-C38-C40-C32 | - | -179.849 |
| H14-C13-C15-N16 | - | -0.777 | H39-C38-C40-H41 | - | 0.055 |
| C8-C15-N16-H17 | - | -4.261 | | | |