Abstract
The cannabinoid (CB) receptors (CB1R and CB2R) represent a promising therapeutic target for several indications such as nociception and obesity. The ligands with non-selectivity can be traced to the high similarity in the binding sites of both cannabinoid receptors. Therefore, the need for selectivity, potency, and G-protein coupling bias has further complicated the design of desired compounds. Currently studied cannabinoid agonists seldomly investigate their bias, and those that do exhibit bias are typically non-selective. However, certain long-chain endocannabinoids represent a class of selective and potent CB1R agonists. The binding mode for this class of compounds has remained elusive, limiting the implementation of its binding features to currently studied agonists. Hence, in the present study, the binding poses for these long-chain cannabinoids, along with other interesting ligands, with the receptors have been determined, by using a combination of molecular docking and molecular dynamics (MD) simulations along with molecular mechanics-Poisson-Boltzmann surface area (MM-PBSA) binding free energy calculations. The binding poses for the long-chain cannabinoids implicate that a site surrounded by the transmembrane (TM)2, TM7, and extracellular loop (ECL)2 is vital for providing the long-chain ligands with the selectivity for CB1R, especially I267 of CB1R (corresponding to L182 of CB2R). Based on the obtained binding modes, the calculated relative binding free energies and selectivity are all in good agreement with the corresponding experimental data, suggesting that the determined binding poses are reasonable. The computational strategy used in this study may also prove fruitful in applications with other GPCRs or membrane-bound proteins.
Keywords: Cannabinoid receptor, selectivity, endocannabinoid, drug design strategy, modeling
Graphical Abstract
Introduction
G-protein coupled receptors (GPCRs) are a well-studied class of proteins, with significant viability as therapeutic targets due to their functions in critical physiological pathways.1 Currently, there are over four hundred approved drugs targeting these receptors, with over a hundred targets represented amongst them.1 The cannabinoid (CB) receptors are a subset of the GPCRs, consisting of seven transmembrane (TM) regions divided into two subtypes: CB1 receptor (CB1R) and CB2 receptor (CB2R). Each of these subtypes has characteristic functions related to their distribution in the body. While both CB1R and CB2R are found within the brain, CB2R is additionally expressed in the periphery, most prominently within the spleen.2 These receptors’ primary function within the body is the regulation of adenylyl cyclase, which is implicated in nociception.3-6 This implication has led to a levy of studies performed to determine the cannabinoids’ abilities to produce analgesic effects as a potential replacement for non-steroidal anti-inflammatory drugs (NSAIDs) and opioids, which both come with a set of noxious side effects.4, 5, 7-14 Additionally, the knock-out (KO) of CB1R has been implicated in the protection against obesity due to the CB receptors’ functions in regulating metabolism.15 These relationships have made the CB receptors a promising target for several therapeutic indications. However, there has yet to be an FDA-approved selective cannabinoid agonist for either CB1R or CB2R, an advantageous property that would allow for the limiting of off target effects induced by these previously approved non-selective therapeutics.16, 17
Current drug design targeting CB1R or CB2R primarily falls within the small-molecule space, with the molecules studied utilizing the same binding site as the phytocannabinoid class, e.g. (−)-trans-Δ9-tetrahydrocannabinol (THC), cannabidiol (CBD), and cannabigerol (CBG).18 This binding site has been studied extensively and has previously had several star compounds (e.g. rimonabant and WIN-55,212) tailored to it.19-22 While the cannabinoid agonists targeting this site can exhibit high potency towards the CB receptors, many are ultimately unable to exhibit high selectivity towards either receptor.23, 24 Interestingly, the endogenous cannabinoids (endocannabinoids) with a long carbon chain structural scaffold (Figure 1) exhibit considerable selectivity towards CB1R, with comparable potency to many of these previously reported compounds.18, 25, 26 With minimal modifications to these endogenous ligands, analogs of these endocannabinoids exhibit greater selectivity and potency than their precursors (Figure 1).27 However, these long-chain ligands have been far less studied concerning their potential as CB receptor agonist therapeutics in comparison to compounds with structural similarity to the phytocannabinoids. The indole quinuclidinone (IQD) compounds, PNR-4-20 and PNR-4-02, were the only reported G-protein biased agonists of CB2R (Figure 2).28 Incorporating the binding modes of these long-chain endocannabinoids with the recently published new agonists, including a G-protein biased agonist, could be a viable path towards the rational design of the desirable CB1R-specific and G-protein biased agonists.29-33 Hence, it is crucial for rational design of CB1R-specific ligands to first determine how these compounds (Figure 1 and 2) bind with both CB1R and CB2R and to understand the nature of their selectivity.
There have been various reports of computational and experimental studies on CB1R and CB2R binding with various ligands. Reported cryogenic electron microscopy (Cryo-EM) structures of CB1R or CB2R binding with ligands revealed a commonly available binding site, i.e. the phytocannabinoid binding site, for a few ligands examined so far.21, 22, 34-37 Previously reported computational studies have been focused on the phytocannabinoid binding site.19, 20, 22, 38-40 None of the previously reported computational studies examined the possible binding poses of the IQD series of compounds (Figure 2), and there have been few reports concerning the binding poses of the long-chain endocannabinoids.19, 20, 22
Particularly, studies concerning the long-chain endocannabinoids and their analogs have primarily been in vitro based, using structure-activity relationships (SAR) to discover productive modification for these agonists.25, 27, 41-43 Through these studies, several important factors have been determined such as the necessary aliphatic chain length for CB1R binding, and the importance of double bonds within the aliphatic chain.41 Previous in silico attempts at explaining the binding mode of these compounds have relied on homology-based methods of the cannabinoid receptors which were inaccurate in comparison to the recently published structures.44 One attempt to elucidate the binding mode of these endocannabinoids came from McAllister et al. which proposed a folded anandamide structure within a homology-modeled CB1R.44 Similar binding mode was also reported by other groups using molecular docking to homology-modeled CB1R.37 However, the recently published Cryo-EM structures of CB1R and CB2R revealed that the phytocannabinoid binding sites within these receptors possess significant similarity within the pocket proposed for anandamide, eliminating the possibility for CB1R selectivity.21, 22, 35, 36 These new Cryo-EM studies also attempted to computationally place long-chain cannabinoids within the resolved structures of CB1R. While these binding poses were stable when subjected to short-timescale MD simulations, they did not comment on the selectivity of these compounds; additionally, in their proposed binding modes for these compounds at CB1R relied heavily on the central channel binding pocket, thus lacking any major differences between the two receptors that could be used to determine their selectivity for CB1R.21, 22 With this similarity of the central binding pocket in mind, it is critical to explore possible binding modes for these endocannabinoids that do not solely rely on the typical phytocannabinoid binding pocket to decide their selectivity.
Recent advancement in computational power and support for GPU-accelerated hardware have made long-timescale molecular dynamics (MD) simulation (0.1-1 μs) more feasible for large-scale systems, including lipid bilayers with proteins embedded within them.45 Through a combination of the MD simulations and molecular mechanics–Poisson-Boltzmann surface area (MM-PBSA) binding free energy calculations, compounds binding with a given protein can be ranked accurately in correlation with their experimental binding free energy (ΔGexp) values.45, 46 Our group has previously been successful in developing and utilizing various computational approaches for modeling ligands binding with the transmembrane proteins to elucidate subtype selectivity.47-51 Hence, in the present study, we employed a variety of computational methods, including molecular docking, MD, and MM-PBSA, to explore the binding poses of these interesting compounds (Figures 1 and 2) with CB1R and CB2R and reveal the binding and selective mechanism. According to the computational data, the IQD series of compounds bind to the receptors in the known traditional binding site (phytocannabinoid binding site) of the receptors, whereas the long-chain cannabinoids bind to the receptors in a binding mode which is more favorable for CB1R. These computationally determined binding modes show excellent correlation with the empirically obtained binding data, suggesting that these binding modes are reasonable for these receptors.
Results and Discussion
Due to the high binding selectivity and potency of O-1860 with CB1R, its binding mode was studied closely, in the present study, to determine potential unique binding features through molecular docking and MD simulations (Figure 3A and 3B). The obtained binding mode of O-1860 reveal a previously unused binding site in proximity to the extracellular interface of the receptor. As opposed to the previously suggested binding modes concerning these compounds, the hydrophilic binding site within the extracellular interface of CB1R provides pivotal interactions with the long-chain endocannabinoids. Within this region, there are additional critical residue substitutions within CB2R that change the binding pocket’s ability to receive these long chain endocannabinoids. The critical change between the two receptors is from a change in I267 in CB1R to L182 in CB2R (Figure S1 in Supporting Information). This change causes a steric clash with the long-chain cannabinoids (Figure S3 to S14), increasing the hydrogen bond-related distance with L182 and the ligand (Figure 3B) and reducing van der Waals (vdW) interactions with the receptor (Table 1). Conversely, the stricter binding site from these residues in the extracellular interface creates a method to induce CB1R selectivity. The size of the agonist supported by the binding pocket in CB2R will be decreased due to these residue changes from CB1R to CB2R. From these initial results concerning the binding free energy of O-1860, one can see the large differences in the experimental binding affinity be quantitatively validated through the combined MD and MM-PBSA binding free energy calculations (Table 1). Through the decomposition of the per-residue contributions to the binding energy, it was revealed that the residues 177, 267, 268, 279, 376, 379, and 380 within CB1R had greater binding affinities with O-1860 (Figure 3D) than their corresponding analogs in CB2R.
Table 1.
CBRs | ΔEele | ΔEvdw | ΔEgas | ΔEpbsol | ΔEpb | −TΔS | ΔGPB |
---|---|---|---|---|---|---|---|
CB1R | −27.54 | −70.34 | −97.88 | 38.06 | −59.82 | 22.04 | −37.78 |
CB2R | −16.37 | −66.42 | −82.79 | 39.75 | −43.03 | 23.70 | −19.33 |
The binding mode of long-chain molecules
To further verify our binding model, twelve additional long-chain molecules with known Ki values for the CB receptors were collected (Figure 1), and their binding free energies were estimated via the MD/MM-PBSA methodology. For each of the long-chain agonists examined in this study, according to the computational data (Table 2) the binding affinity is shown to be higher with the CB1R over the CB2R, this is consistent with previously obtained experimental data.27, 52-55 This selectivity for CB1R extends to anandamide, which has previously been erroneously reported as a non-selective CB agonist.56 However, these previous reports were performed in tissue-based assays, which contained amidohydrolases that degraded anandamide.57-60 When these confounding enzymes are inhibited using phenylmethylsulfonyl fluoride (PMSF), the Ki of anandamide decreased considerably (543 nM against CB1R w/o PMSF vs 90 nM against CB1R w/ PMSF), revealing its true selectivity for CB1R over CB2R (Ki = 1980 nM against CB2R w/ PMSF).56, 57 The computational results obtained have a high correlation with the experimental data, with an R2 of 0.8318 (Figure S2). When compared to O-1860, these long-chain endocannabinoids have similar per-residue contributions to their binding free energies, suggesting that these compounds bind similarly to O-1860 with the CB receptors. (Figure 3E)
Table 2.
Liganda | ΔG(CB1R) | ΔG(CB2R) | ΔG(CB1R)-ΔG(CB2R) | |||||
---|---|---|---|---|---|---|---|---|
ΔGPBb | ΔGcorrc | ΔGexpd | ΔGPBb | ΔGcorrc | ΔGexpd | ΔΔGcorrc,e | ΔΔGexpf | |
ACEA52 | −39.07 | −12.08 | −12.15 | −18.19 | −7.60 | −7.82 | −4.98 | −4.33 |
O-186027 | −38.44 | −11.97 | −11.88 | −19.30 | −7.96 | −6.86 | −4.54 | −5.02 |
ACPA53 | −36.78 | −11.67 | −11.88 | −24.95 | −9.79 | −8.44 | −2.68 | −3.45 |
O-181227 | −35.54 | −11.44 | −11.62 | −18.06 | −7.56 | −7.43 | −4.12 | −4.20 |
AM88153 | −35.45 | −11.43 | −11.36 | −26.78 | −10.38 | −9.64 | −1.87 | −1.72 |
AM88354 | −35.10 | −11.36 | −10.99 | −25.48 | −9.96 | −9.12 | −2.11 | −1.86 |
VJ-11528 | −21.05 | −8.82 | −7.52 | −25.19 | −9.86 | −8.60 | 1.39 | 1.08 |
R-Methanandamide53 | −29.66 | −10.38 | −10.57 | −22.18 | −8.89 | −8.36 | −1.57 | −2.21 |
2-AG53 | −29.28 | −10.31 | −9.93 | −24.23 | −9.55 | −9.39 | −0.95 | −0.54 |
Anandamide53 | −27.69 | −10.02 | −9.90 | −19.37 | −7.98 | −7.84 | −1.79 | −2.06 |
AM117455 | −25.09 | −9.55 | −9.53 | −16.34 | −7.00 | −7.48 | −1.89 | −2.05 |
O-181127 | −24.13 | −9.38 | −9.52 | −19.74 | −8.10 | −8.37 | −0.79 | −1.16 |
S-Methanandamide25 | −23.83 | −9.32 | −9.28 | −19.40 | −7.99 | −6.98 | −0.80 | −2.30 |
PNR-4-2028 | −25.79 | −9.67 | −9.33 | −26.52 | −10.29 | −12.00 | 0.52 | 2.67 |
PNR-4-0428 | −25.22 | −9.57 | −9.43 | −25.84 | −10.07 | −10.89 | 0.49 | 1.46 |
PNR-4-0228 | −27.64 | −10.01 | −9.80 | −27.78 | −10.70 | −10.57 | 0.37 | 0.77 |
PNR-4-0528 | −21.95 | −8.98 | −8.85 | −24.10 | −9.51 | −9.83 | 0.88 | 0.98 |
PNR-4-9928 | −25.28 | −9.58 | −9.54 | −25.78 | −10.06 | −9.81 | 0.46 | 0.28 |
PNR-9-3328 | −16.18 | −7.93 | −7.60 | −23.26 | −9.24 | −9.55 | 2.13 | 1.95 |
PNR-4-0328 | −28.42 | −10.15 | −9.63 | −23.26 | −9.24 | −9.57 | −0.98 | −0.06 |
PNR-4-1528 | −28.18 | −10.11 | −9.96 | −20.72 | −8.42 | −9.53 | −1.57 | −0.43 |
PNR-4-1728 | −16.52 | −7.99 | −8.26 | −19.31 | −7.96 | −8.55 | 1.04 | 0.29 |
RMSD (kcal/mol) | 0.35 | 0.75 | 0.75 |
The subscript after the ligand name refers to the reference for the experimental Ki (shown in Figure 1 or 2) used to derive the experimental binding free energy.
Calculated binding free energies obtained from the MM-PBSA calculations without any empirical correction.
The experimental binding free energy was converted from the experimental Ki using the well-known thermodynamic equation: ΔGexp = −RTln (Ki).
ΔΔGcorr is the corrected binding free energy difference (ΔG(CB1R) −ΔG(CB2R)).
ΔΔGexp = −RTln (Ki (CB1R)/Ki(CB2R)) = ΔGexp(CB1R) −ΔGexp(CB2R).
Structure-activity and structure-selectivity correlation relationships of endocannabinoids
O-1860 represents the culmination of a series of additions to the endogenous cannabinoid anandamide, each step of which incrementally increases the binding affinity with CB1R. The first change to O-1860 from anandamide involves the substitution of two additional methyl groups onto carbon-17, turning it into a neopentane moiety. These additional methyl groups allow for additional vdW interactions with the primarily hydrophobic pocket formed by TM4 and TM5 including F268 and W279 (Figure 3C). Additionally, the substitution of the terminal hydroxyl group with a halogen increases the favorable vdW interactions with the mainly hydrophobic pocket between TM3 and TM4 (Figure 3C) over the endocannabinoid (R)-methanandamide (Figure 4A). The second modification of anandamide (Figure 4B) comes from an additional methyl group placed one carbon from the terminal hydroxyl group (Figure 4A) allowing for additional vdW interactions with I267.
The binding mode of the IQD series of compounds
Furthermore, we used the IQD derivatives shown in Figure 2 to test our models. It is gratifying that the calculated results were in good agreement to the experimental data, suggesting that these models also can be used to the drug design for this series of compounds. Key to the binding of these compounds to each receptor is the carbonyl group on the quinuclidine ring accepting a hydrogen bond from the nearby H178/95 residue in CB1R/CB2R. Additionally, these compounds have strong hydrophobic interactions in both CB1R and CB2R with nearby F268 & W279 in CB1R (F183 & W194 in CB2R) (Figure S15 to S22). PNR-4-20 (Figure 4C and D) represents both a G-protein biased and potent CB1R agonist, only lacking in selectivity for one of the receptors (or limited selectivity for CB2R). This lack in selectivity for CB1R is readily apparent when one looks at the binding mode comparison (Figure 4C and D) where the only major change in position is a slight rotation in the central indole ring. The similarity of the central binding pocket for the CB receptors is the main hinderance towards developing selective CB receptor agonists. The binding poses proposed for the endocannabinoids and their analogs, shown in the above, give clues as to how these compounds could be modified to allow for CB receptor selectivity.
The correction of binding free energies
Summarized in Table 2 are the binding free energies obtained from the MM-PBSA calculations in comparison with the corresponding binding free energies for CB1R and CB2R with all of the 23 ligands shown in Figure 1 and 2. As seen in Table 2, our computational protocol performs similarly well with both the long-chain cannabinoids and the typical IQD derivatives. The relative magnitudes of the MM-PBSA binding free energy (ΔGPB) values are qualitatively consistent with the relative experimental binding free energies in terms of the structure-activity relationship (SAR) for each receptor and the receptor selectivity between CB1R and CB2R (Figure 5).
In terms of the absolute binding free energies, it is not surprising to note that the MM-PBSA calculations systematically overestimated the binding affinities of the ligands with both CB1R and CB2R. Nevertheless, the empirical linear correlation relationships indicated in Figure 5 may be used to empirically correct the calculated binding free energies. Particularly, for CB1R binding with ligands, we have
(1) |
with a correlation coefficient (R2) of 0.9381 and a root-mean-squares deviation (RMSD) of 0.36 kcal/mol. For CB2R binding with ligands, we have
(2) |
with R2 = 0.6334 and RMSD = 0.75 kcal/mol. In addition, for the difference in the binding free energy between CB1R and CB2R, we have
(3) |
with R2 = 0.8649 and RMSD = 0.69 kcal/mol. In Eq. (3), ΔΔGPB = ΔGPB(CB1R) – ΔGPB(CB2R), and ΔΔGcorr is the corrected binding free energy difference reflecting the selectivity between CB1R and CB2R. In all of these equations, ΔGPB represents the binding free energy obtained directly from the MM-PBSA calculation, whereas ΔGcorr refers to the corrected binding free energy.
As seen in Table 2, the empirically corrected binding free energies with both CB1R and CB2R, as well as the difference between them, are all in excellent agreement with the corresponding experimental data, suggesting that the binding modes determined in this study are reasonable. Furthermore, our models are expected to be valuable for the rational drug design in the future.
In summary, using molecular docking, MD simulation, and MM-PBSA binding free energy calculations, we have been able to determine the binding modes of CB1R and CB2R interacting with both the IQD series of ligands and long-chain cannabinoids (including their synthetic analogs). Based on the obtained binding poses, the calculated relative binding free energies are in good agreement with the corresponding experimental binding affinity data in terms of the SAR for each receptor (CB1R or CB2R) and the receptor selectivity between CB1R and CB2R. The binding poses for the long-chain cannabinoids and their synthetic analogs implicate the site surrounded by the TM2, TM7, and ECL-2 regions being vital for providing the long-chain ligands with the selectivity for CB1R, especially the I267/L182 of CB1R/CB2R. Considering this computational insight, the future rational design of new selective ligands for CB1R and CB2R may be focused on favorable interactions with this site. Particularly, as we have also determined the binding poses of the IQD compounds including the unique G-protein biased agonist PNR-4-20 and PNR-4-02, new compounds may be designed that bring the features of both classes of molecules together, creating selective, potent, and G-protein biased IQD/endocannabinoid hybrids. The similar computational strategy used in this study may also prove fruitful in applications with other GCPRs or membrane-bound proteins.
Methods
Multiple sequences alignment
The amino-acid sequences of CB1R and CB2R were downloaded from the Uniprot database.61 The multiple sequence alignment was performed using the MUSCLE software, which also was used to calculate sequence identity.62 The figure for sequence alignment was generated using the ESPript 3.0 software.63
Docking and molecular dynamics simulations
The cannabinoid receptors (PDB ID: 5XRA for CB1R and 6PT0 for CB2R) were prepared using the PDB2PQR module to fix any potential errors with the models, and to additionally assign the ff14SB force field parameters to the constituent atoms.22, 35 The structures of ligands were built and energy-minimized using the SYBYL v2.0 software (Tripos Inc., St. Louis, USA). Initial poses for the ligands were predicted using the AutoDock 4.2 software with the default parameters.64 To improve the efficiency of calculation, the CB2R model was superimposed to the CB1R model. The grid size was set to 60 × 60 × 60, and the grid center was designated at −43.616, 164.787, 306.920. For each ligand, 265 possible binding poses were generated for further study. Each ligand had its atomic charges calculated through the AM1-BCC method in the Antechamber module and was subsequently energy-minimized through the Sander module of AMBER16 program before being placed within the binding site of each receptor.65-67
For the compound O-1860 binding with each receptor, the complexes were inserted into a POPC lipid bilayer through the use of the Membrane-Builder module of CHARMM-GUI.68 Then the complex structures were energy-minimized over five steps: an initial energy minimization where only hydrogens and lipid bilayer were energy-minimized, followed by energy minimization of the ligand, receptor hydrogens, and lipid bilayer, followed by sidechains of the receptor, residues within 6 Å of the ligand, and finally the entire system. Each of these steps consisted of a total of 3000 energy minimization steps. Then the MD simulation of the energy-minimized complex was performed using the CUDA accelerated PMEMD module of AMBER.65 After energy minimization and heating of the lipid/complex system, 100 ns of MD simulations were performed. One hundred snapshots of the last nanosecond of the system were used within the MM-PBSA module of the AMBER to make sure that the binding free energy based on the final snapshot is reasonably close to the average of binding free energies associated with the one hundred snapshots. The energy decomposition was performed using the decomposition option within the MMPBSA module of the AMBER16.
The last snapshot of the MD-simulated complex with O-1860 was subsequently used as the receptor with O-1860 and lipid bilayer removed. Each ligand (including O-1860) was then placed into the receptor based on the previously obtained binding poses from the AutoDock software.64 The whole complex structure was then energy-minimized, and had its binding free energy calculated using the same MM-PBSA methodology.
Supplementary Material
Acknowledgments
This work was supported in part by the funding of the Molecular Modeling and Biopharmaceutical Center at the University of Kentucky College of Pharmacy, the National Science Foundation (NSF grant CHE-1111761), and the National Institutes of Health (P20 GM130456, UL1TR001998, T32 DA016176, and R01 DA039143). The authors also acknowledge the Computer Center at University of Kentucky for supercomputing time on a Dell Supercomputer Cluster consisting of 388 nodes or 4,816 processors.
Footnotes
Supporting Information
Additional figures for the sequence alignment of human, mouse, and rat CB receptors, the correction of MM-PBSA binding free energies with the corresponding experimental binding free energies for the long-chain ligands, and the modeled binding structures of CB1R and CB2R with various ligands.
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