Qiaoyu Hu1, Kevin Padron2, Daiki Hara3, Junwei Shi3, Alan Pollack3, Rajeev Prabhakar1, Wensi Tao3. 1. Department of Chemistry, University of Miami, Coral Gables, Florida 33146, United States. 2. Department of Computer Science, University of Miami, Coral Gables, Florida 33146, United States. 3. Department of Radiation Oncology, University of Miami Miller School of Medicine, Miami, Florida 33136, United States.
Abstract
In this study, molecular interactions of prostate-specific membrane antigen (PSMA) with five chemically distinct urea-based boron-containing inhibitors have been investigated at the atomic level using molecular docking and molecular dynamics simulations. The PSMA-inhibitor complexations have been analyzed by comparing their binding modes, secondary structures, root-mean-square deviations, noncovalent interactions, principal components, and binding free energies. PSMA is a cell surface glycoprotein upregulated in cancerous cells and can be targeted by boron-labeled inhibitors for boron neutron capture therapy (BNCT). The effective BNCT requires the selective boron delivery to the tumor area and highly specific PSMA-mediated cellular uptake by tumor. Thus, a potent inhibitor must exhibit both high binding affinity and high boron density. The computational results suggest that the chemical nature of inhibitors affects the binding mode and their association with PSMA is primarily dominated by hydrogen bonding, salt bridge, electrostatic, and π-π interactions. The binding free energies (-28.0, -15.2, -43.9, -23.2, and -38.2 kcal/mol) calculated using λ-dynamics for all inhibitors (In1-5) predict preferential binding that is in accordance with experimental data. Among all inhibitors, In5 was found to be the best candidate for BNCT. The binding of this inhibitor to PSMA preserved its overall secondary structure. These results provide computational insights into the coordination flexibility of PSMA and its interaction with various inhibitors. They can be used for the design and synthesis of efficient BNCT agents with improved drug selectivity and high boron percentage.
In this study, molecular interactions of prostate-specific membrane antigen (PSMA) with five chemically distinct urea-based boron-containing inhibitors have been investigated at the atomic level using molecular docking and molecular dynamics simulations. The PSMA-inhibitor complexations have been analyzed by comparing their binding modes, secondary structures, root-mean-square deviations, noncovalent interactions, principal components, and binding free energies. PSMA is a cell surface glycoprotein upregulated in cancerous cells and can be targeted by boron-labeled inhibitors for boron neutron capture therapy (BNCT). The effective BNCT requires the selective boron delivery to the tumor area and highly specific PSMA-mediated cellular uptake by tumor. Thus, a potent inhibitor must exhibit both high binding affinity and high boron density. The computational results suggest that the chemical nature of inhibitors affects the binding mode and their association with PSMA is primarily dominated by hydrogen bonding, salt bridge, electrostatic, and π-π interactions. The binding free energies (-28.0, -15.2, -43.9, -23.2, and -38.2 kcal/mol) calculated using λ-dynamics for all inhibitors (In1-5) predict preferential binding that is in accordance with experimental data. Among all inhibitors, In5 was found to be the best candidate for BNCT. The binding of this inhibitor to PSMA preserved its overall secondary structure. These results provide computational insights into the coordination flexibility of PSMA and its interaction with various inhibitors. They can be used for the design and synthesis of efficient BNCT agents with improved drug selectivity and high boron percentage.
Boron
neutron capture therapy (BNCT) is a noninvasive two-step
cancer treatment modality utilizing the nuclear fission reaction when
neutrons are captured by the boron-10 isotope (B10).[1] The first step is the selective delivery of B10-containing chemicals to the tumor cells; the second step
is the irradiation of the boron-loaded tumor area with either a thermal
or an epithermal neutron beam.[2,3] Irradiation with a high
flux neutron beam results in the emission of lithium ions and high
linear energy transfer (LET) alpha particles, which travel less than
10 μm in human tissues.[1] The ability
of B10 to release high LET alpha particles at such a short
distance, approximately the diameter of a cell, enables the focal
deposition of ionizing radiation energy selectively to the tumor area
while sparing surrounding normal tissues.[4] The boron-containing compounds for BNCT should have these two properties:
(1) selective uptake by tumor cells to achieve a high concentration
of absorbed neutrons in tumor. (2) Rapid clearance from circulation
and normal tissues with low systemic toxicity.[5]The main challenges for developing an ideal BNCT reagent are
to
achieve relatively high tumor-specific uptake (more than 20 μg/g
tumor) and low normal tissue toxicity.[6] Within the short period of time between infusion and neutron irradiation,
boron-containing reagents need to maintain a high concentration in
the tumor area, and after that, they should be quickly cleared from
normal tissue and circulation.[3,5,6] Currently, 4-borono-l-phenylalanine (BPA) and sodium borocaptate
(BSH) are two clinically used BNCT reagents.[7−9] The major limitation
with both BPA and BSH is the relatively low tumor-to-normal tissue
ratio because of the variability in tumor uptake.[10] Due to these disadvantages, clinical usage of BNCT has
been mainly limited to patients with high-grade gliomas or recurrent
head and neck cancers which do not respond to conventional therapy.[11−14] For other types of cancers, BNCT is still not applied as the first-line
standard of care therapy.[15] Recently, several
tumor targeting strategies have been incorporated to improve the efficiency
of boron delivery and retention using unnatural amino acids, peptides,
proteins, sugars, and nanoparticles.[6,16,17] A couple of cell surface receptors that overexpressed
on tumors have been utilized as targets for developing boron-containing
ligands.[18] These receptors include the
vascular endothelial growth factor receptor (VEGFR), somatostatin
receptors, thymidine kinase 1, and the epidermal growth factor receptor
(EGFR).[19−22] Targeted delivery of BNCT reagents such as boronated VEGFR, EGFR,
and anti-EGFR monoclonal antibodies have been used in tumor vasculature
and EGFR-positive glioma.[19−21]Prostate-specific membrane
antigen (PSMA), also called glutamate
carboxypeptidase II (GCPII), is a 750-amino-acid-residue-containing
class II transmembrane metalloenzyme, which possesses a dinuclear
zinc core at the active site.[23−25] Encoded by the humans’ FOLH1 (folate hydrolase (1) gene,[26] PSMA is expressed in many tissues including the prostate, kidney,
liver, intestinal epithelium, and central nervous system,[27,28] and it plays distinct biological roles in different tissues. In
the intestine, the FOLH1 gene is associated with
impaired dietary folate absorption, which can lead to conditions such
as a low blood folate level and hyperhomocysteinemia.[29,30] In the central nervous system, N-acetyl-l-aspartyl-l-glutamate (NAAG) is hydrolyzed by PSMA into N-acetylaspartate (NAA) and glutamate (Glu), which is a
neurotransmitter that relates to neurotoxicity and neuronal death
in the brain at enhanced levels.[31−33] In addition, PSMA expression
is upregulated in cancerous cells and used as an effective diagnostic
and prognostic indicator for prostate cancer.[34] The expression of PSMA is observed both in primary and metastatic
prostate cancer. Its expression levels correlate positively as prostate
cancer develops into high-grade and metastatic cancer.[35] Interestingly, PSMA expression is also regulated
by the androgen receptor (AR).[36] Androgen
deprivation therapy such as enzalutamide can upregulate the PSMA expression
level in castration-resistant prostate cancer.[37]As an independent diagnostic/prognostic marker, PSMA
ligands (especially
those labeled with Gallium-68 and Fluor-18) have been extensively
applied in positron emission tomography/computed tomography (PET/CT)
for oligometastatic prostate cancer imaging.[38−40]In 2021,
the U.S. Food and Drug Administration (FDA) has approved
177Lu-PSMA-617, a PSMA-targeted radioligand therapy for the treatment
of metastatic castration-resistant prostate cancer (mCRPC). Although
therapy with 177Lu-PSMA-617 demonstrated successful tumor control,
it also exhibits side effects such as xerostomia and bone marrow suppression.[41,42] Unlike 177Lu-PSMA-617 that allows PSMA-labeled radioisotopes to
be concentrated within the cell, boron-10-containing compounds are
nonradioactive inhibitors with low toxicity. Important organs such
as the heart, kidney, liver, and lungs can be protected by avoiding
dose to the tissues outside the irradiation field. Therefore, a treatment
of prostate cancer with PSMA-targeting BNCT reagents may be a promising
strategy for highly specific tumor delivery as it produces minimum
side effects and toxicity for normal tissues. PSMA can be targeted
by various molecular agents, which can be categorized into several
classes: small molecules,[43] small peptides,[44] polymers,[45,46] nanoparticles,[47,48] and monoclonal antibodies.[49,50] In comparison to other
reagents, small molecules and peptides can easily circulate in the
blood stream through the major organs including the tumor site within
a few hours because of their smaller size.[51] After 24–36 h, they can also be rapidly eliminated from the
plasma by excreting into urine through the kidney. In contrast, when
monoclonal antibodies against PSMA are injected, the tumor-to-normal
tissue signal ratio takes around 24 h to reach its peak and can last
as long as 72–120 h[52] because these
antibodies possess higher molecular weight, longer stability in bloodstream,
and stronger binding affinity. Therefore, smaller molecules are proposed
to be the promising reagents for BNCT on account of their quicker
delivery to the tumor region and shorter half-lives in the circulation
system.The X-ray structure of PSMA has been resolved at 1.84
Å resolution
(PDB ID: 4NGM).[24,53] In this structure, the zinc-containing active
site is located at a depth of approximately 20 angstrom (Å) from
the surface.[24] The whole cavity around
the active site can be separated into two substrate binding sites:
S1′ site and S1 site, which accommodate the P1′ and
P1 portions of inhibitors, respectively. It has been established that
the S1′ site is more specific to glutamate residue or glutamate
analogues, whereas the S1 site is more flexible and can accommodate
different molecules.[24,25,54−57] PSMA ligands can be classified into two categories (Figure ): the first class is the phosphorus-based
ligands mimicking the transition state of hydrolytic reaction and
the second class is urea-based inhibitors with the hydrolysis-resistant
peptide bond surrogate.[58−60] The urea-based inhibitors can
bind to both S1′ and S1 sites like the NAAG, which is the natural
substrate of PSMA.[61] They provide several
advantages such as an ease of large-scale synthesis, penetration of
the blood–brain barrier, and radiolabeling.[62,63] The unique chemical properties of these urea derivatives result
in their better tumor uptake and higher binding affinity to a lipophilic
pocket located near the active site of PSMA.[64] Moreover, the urea-based scaffold is also very tolerant with regard
to structural modification. Therefore, these inhibitors can be exploited
not only as diagnostic tools for PSMA-targeted molecular imaging but
also as radiolabeled small molecules to treat advanced prostate cancer.[65]
Figure 1
Chemical structures of 2-PMPA, NAAG, urea-based inhibitor
scaffold,
and boron-containing inhibitors (In1–In5).
Chemical structures of 2-PMPA, NAAG, urea-based inhibitor
scaffold,
and boron-containing inhibitors (In1–In5).Previously reported PSMA-targeted BNCT compounds were mostly based
upon the urea scaffold. Due to high boron content, a series of carborane
derivatives have been synthesized and evaluated for inhibitory activity,
tumor uptake, and biodistribution.[60,66,67] In this study, we aim to computationally analyze
the interactions between PSMA and potential boron-containing PSMA-targeted
inhibitors, which are proposed according to previous urea-based molecules
and a structure–activity relationship (SAR) study.[56] In order to be clinically effective agents for
BNCT, the PSMA inhibitors must possess high tumor-to-normal tissue
ratios, high binding affinities, and high boron densities. A deeper
understanding of interactions between the PSMA and inhibitors at the
atomistic level will facilitate this goal.
Results
and Discussion
The crystal
structure of PSMA and its active site are displayed in Figure a. The bulk part (707 residues)
of this enzyme resides in extracellular space, and the remaining part
includes a short cytoplasmic N-terminal region (19 residues) and a
single membrane-spanning segment (24 residues).[24,68] The extracellular part of this enzyme can be divided into three
distinct domains (protease domain, apical domain, and C-terminal domain),
all of which are involved in substrate recognition and binding. The
protease domain (domain I, 57–116 and 352–590 residues,
green color in Figure a) is mainly composed of seven central β sheets with 10 flanking
α helices, whereas the apical domain (domain II, 117–351
residues, cyan color in Figure a) forms a deep funnel-shaped tunnel, from which the substrate
can enter the active site (20 Å away from the protein surface).
The C-terminal domain (domain III, 591–750 residues, orange
color in Figure a)
is constituted by four α helical bundles with an up-down-up-down
order.[24,68] Under the physiological conditions, PSMA
tends to exist as an active homodimer, whose dimerization interface
is stabilized by the interactions between domain I/II of one monomer
and domain III of another.[55]
Figure 2
(a) Crystal
structure of PSMA and its binuclear active site and
(b) ESP of PSMA.
(a) Crystal
structure of PSMA and its binuclear active site and
(b) ESP of PSMA.Harbored in the protease
domain, the active site of PSMA (Figure a) contains two zinc
metal ions, designated as Zn1 and Zn2. Among them, Zn1 interacts with
Asp387, Glu425, and His553, while Zn2 is ligated to His377, Asp387,
and Asp453. Glu425 and Asp453 coordinate to Zn1 and Zn2, respectively,
in a bidentate binding mode. Additionally, Asp387 and a hydroxyl group
(μOH) bridge both metal ions. The metal–metal and metal–ligand
distances are summarized in Table . The electrostatic surface potential (ESP) indicates
that the funnel-shaped tunnel (black circle in Figure b) is largely composed of positive charges.
The chemical structures of urea-based inhibitors are shown in Figure . The urea-based
scaffold is linked to distinct boron ligands through an aromatic or
an aliphatic chain. The number of boron atoms in these inhibitors
gradually increases from 1 to 10 to fulfill a key requirement for
effective BNCT (at least 20–50 μg of boron uptake per
g of tumor).[3]
Table 1
Metal Coordination
Number and Metal–Metal,
Metal–Substrate, Metal–OH, and Metal–Ligand Distances
(Å) for the First Coordination Shell Residues in the PSMA Crystal
and Equilibrated Structures (Inhibitors 1 and 2) and the Calculated
Binding Free Energies of Distinct Inhibitors (kcal/mol)a
PSMA crystal
PSMA–In1
PSMA–In2
coordination number
5(Zn1), 4(Zn2)
6(Zn1), 6(Zn2)
6(Zn1),
6(Zn2)
MZn1–MZn2
3.26
3.45
3.55
inhibitor
2.15(Zn1), 2.19(Zn2)
2.19(Zn1)
μOH
2.08(Zn1), 1.68(Zn2)
1.91(Zn1), 1.90(Zn2)
1.88(Zn1), 1.91(Zn2)
His377
1.98(Zn2)
2.15(Zn2)
2.14(Zn2)
Asp387
1.98(Zn1),
2.03(Zn2)
2.23(Zn1), 2.08(Zn2)
2.24(Zn1),
2.12(Zn2)
Glu424
3.73(Zn2)
5.84(Zn2)
2.20(Zn2)
Glu425
2.17, 2.42(Zn1)
2.12, 2.09(Zn1)
2.21, 2.14(Zn1)
Asp453
2.02, 2.91(Zn2)
2.19, 2.11(Zn2)
2.26,
2.21(Zn2)
His553
2.04(Zn1)
2.11(Zn1)
2.21(Zn1)
binding free energy
–28.0
–15.2
Metal coordination
sites (Zn1 and
Zn2) are shown in the parentheses.
Metal coordination
sites (Zn1 and
Zn2) are shown in the parentheses.In this study, we investigated the interactions of
PSMA with five
chemically distinct urea-based boron-containing inhibitors (In1–In5) at the atomic level using molecular dynamics
(MD) simulations. The structures of all complexes (PSMA–In1, PSMA–In2, PSMA–In3, PSMA–In4, and PSMA–In5) and their
interactions are discussed using their binding modes, secondary structures,
root-mean-square deviations (RMSD), noncovalent interactions (NCIs),
principal components, and binding free energies as parameters.
PSMA–In1 Interactions
Since SAR
study[56] suggested that P1′
and P1 parts of inhibitors preferred bulky groups, a phenyl moiety
is introduced at both positions. As a consequence, the glutamate analogue
with a phenyl ring of tyrosine occupies the P1′ segment and
the lysine analogue with a phenyl ring of benzene resides in the P1
position. For Inhibitor1 (In1), a boronic acid (shown
in the circle in Figure ) is attached to the phenyl ring of the P1 portion to form a phenylboronic
acid. As shown in Figure a, the binding of In1 to the active site is predominately
propelled by the interactions between two positively charged zinc
metal ions and negatively charged oxygen atoms of the inhibitor. Specifically,
the carbonyl oxygen of ureido linkage coordinates to Zn1 at a distance
of 2.15 Å and one oxygen of the carboxylate group from P1 connects
to Zn2 with a distance of 2.19 Å, resulting in a μ-1,6
bidentate mode. The bridging hydroxide μ-OH shifts to a more
symmetrical position (1.91 Å (Zn1) and 1.90 Å (Zn2), Table ) and the metal–metal
distance is elongated by 0.19 Å upon inhibitor binding, which
is consistent with experimental observations.[24,68] All ligands surrounding Zn2+ ions (six-coordinated) adopt
a distorted octahedral geometry. The boronic acid that links to the
aromatic moiety of P1 points to the opposite direction of the funnel-shaped
tunnel, protruding into a pocket enclosed by Arg210 and Tyr234. The
RMSD value derived from the superposition (Figure b) of equilibrated and crystallographic structures
of the active site is only 0.61 Å, substantiating the validity
of our MD simulations. Furthermore, the RMSD plot (Figure a) for the α carbon of
the enzyme indicates that the simulation of the PSMA–In1 complex achieves equilibrium at around 40 ns. This equilibrium is
further confirmed by the pairwise RMSD plot (Figure S1a) that calculates the RMSD value of each frame to all other
frames in the trajectory. Dominating fluctuations focus on the S1′
site and C-terminal loop, whereas the S1 site and the first coordination
shell experience less fluctuations (Figure b). It also exhibits the rigidity of the
S1′ site and flexibility of the S1 site. The PCA of the PSMA–In1 complex (Figure c) displays a V-shaped graph accompanied
with a variety of narrow spread energy basins, manifesting the existence
of multiple ensemble conformations. A similar PCA graph is also observed
in the MD simulation of glycerolphosphodiesterase (GpdQ) combined
with the paraoxon substrate.[69,70]
Figure 3
Most representative structure
of the PSMA–In1 complex derived from MD simulations:
(a) active site with the inhibitor,
(b) superposition of the active site of the equilibrated structure
(magenta carbon) and crystal structure (cyan carbon), (c) principal
component analysis, (d) NCI plot of the S1′ site with amino
acid residues labeled, (e) NCI plot of the S1 site with amino acid
residues labeled, and (f) contact map of the S1 site.
Figure 4
(a) RMSD of all complexes and (b) root-mean-square fluctuations
of all complexes.
Most representative structure
of the PSMA–In1 complex derived from MD simulations:
(a) active site with the inhibitor,
(b) superposition of the active site of the equilibrated structure
(magenta carbon) and crystal structure (cyan carbon), (c) principal
component analysis, (d) NCI plot of the S1′ site with amino
acid residues labeled, (e) NCI plot of the S1 site with amino acid
residues labeled, and (f) contact map of the S1 site.(a) RMSD of all complexes and (b) root-mean-square fluctuations
of all complexes.The glutamate analogue
of In1 occupies the S1′
pocket, which is composed of 12 amino acid residues. These residues
are highlighted as the primary source of interaction by the NCI contour
plot (Figures d and S2a). The α-carboxylic group of In1 at the S1′ site forms a salt bridge and a hydrogen bond with
the guanidinium moiety (Nη) of Arg210 and the backbone
amino group of Asn257 at distances of 2.89 and 1.99 Å, respectively.
The aromatic ring interacts with the γ-amino group (Nδ) of Asn257 and the side chain of Phe209 through NH−π
and T-shaped π–π interactions, respectively. Overall,
the substrate binding mode of In1 in the S1′ site
is analogous to those of the PSMA complex with GPI-18431[24] and 2-PMPA,[68] both
of which possess the exact glutamate in their structures. Typically,
Lys699 and Tyr700 are denominated as the “glutarate sensor”
to recognize two carboxylate groups of glutarate in the substrate
via the induced-fit mechanism.[24,68] When there are no substrates,
these two residues are located outside the S1′ site, while
in the presence of the substrate, they enter the S1′ site and
principally select glutarate-like structures. However, in the equilibrated
structure of the PSMA–In1 complex, although Lys699
is confirmed to clamp the terminal carboxylate group, the hydroxyl
group of Tyr700 is approximately 5 Å away from the α-carboxylic
group. The reason for this discrepancy could be that the strong π–π
interaction between Tyr700 and the aromatic ring of the P1 segment
restricts the movement of this residue to a great extent.The
S1 pocket of PSMA exhibits the capability to accommodate various
binding modes on the grounds of its high flexibility and accessory
binding tunnel. The NCI contour plot of PSMA–In1 in the S1 site (Figure e) illustrates that apart from coordinating to Zn2, the α-carboxylate
group of In1 forms a strong salt bridge (2.31 Å)
with Arg536 and receives a strong hydrogen bond (1.70 Å) contributed
by Tyr552. The phenyl ring of the P1 portion is sandwiched by two
phenol rings of Tyr552 and Tyr700 through parallel-displaced π–π
stacking. The side chains of Arg210 and Tyr234 function like two gates
to encompass the hydroxyl groups of boronic acid, exploiting the electrostatic
and OH−π interactions, respectively. Previous studies
proposed that the aromatic ring of some inhibitors such as the PEGylated
inhibitor[55] and DCIBzL[61] was trapped within an arginine patch (arginines 463, 534,
and 536) and stabilized by cation−π interactions. Normally,
when PSMA was bound with natural substrate NAAG or in its resting
state, the side chain of Arg536 was either in “stacking”
or “binding” conformation, accompanied by the “up”
or “down” position of the side chain of Arg463. The
“binding” conformation of Arg536 was stabilized by the
hydrogen bonds with the α-carboxylate group of P1. The opening
of this patch or the so-called S1-accessory hydrophobic pocket was
only associated with an abnormal combination of Arg463’s “up”
position and Arg536’s “binding” conformation.[54,61] Although the full insertion of the terminal phenyl ring into the
pocket led to the enhanced inhibition constant, this phenomenon was
only observed for limited inhibitors with an appropriate length of
the P1 chain and suitable substituent ligands (one halide atom on
the para position of the phenyl ring). Nevertheless, it served as
an important way to design and synthesize PSMA inhibitors with high
binding affinity. However, in our simulation, even though Arg463 and
Arg536 stay in an open state, In1 rejects to enter this
arginine patch. This is most likely due to the steric clash produced
by the comparatively large boronic acid ligand with bifurcated hydroxyl
groups. Instead, it is captured by another hydrophobic pocket (Figure S3a) surrounded by Arg210, Tyr234, Phe546,
Tyr552, and Tyr700. Their intimate distances are also revealed by
the contact map in Figure f. Therefore, the loss of binding affinity for not locating
in the arginine patch is greatly compensated by the insertion of the
P1 portion into another hydrophobic pitfall. The binding free energy
of In1 to PSMA is calculated to be −28.0 kcal/mol
(Table ), utilizing
the λ particle approach in a thermodynamic cycle. This energy
is mainly contributed by the following three interactions: (1) interactions
between Zn ions and oxygen atoms of the inhibitor; (2) interactions
between the S1′ site and the P1′ segment; 3. interactions
between S1, especially the hydrophobic pocket, and the P1 region.
Experimental results[67] on a structurally
similar compound to In1 demonstrated a half maximal inhibitory
concentration (IC50) value of 130.3 nM, which was higher than that
of 2-phosphonomethyl pentanedioic acid (strongest PSMA inhibitor ever
reported, 2-PMPA, ∼0.3 nM)[71] but
lower than that of glutamate (∼30 μM).[72] Although the IC50 value is not a direct indicator of binding
affinity, the two can be related to each other using the Cheng–Prusoff
equation.[73] Essentially, the lower the
IC50 value, the higher the binding affinity and thus the more negative
the binding free energy.
PSMA–In2 Interactions
A boronic ester—pinacolborane (4,4,5,5-tetramethyl-1,3,2-dioxaborolane
shown in the circle in Figure ) is attached to In2 to investigate the influence
of the ester group formed by bifurcated methyl groups. In contrast
to In1, In2 binds in the monodentate manner
to the active site of PSMA (Figure a) that is characterized by the following factors:
the ureido oxygen is engaged in the coordination of Zn1 (2.19 Å)
and the P1 carboxylate group drifts away from the second metal Zn2
(4.67 Å). As a result, Zn2 coordinates to a previous second coordination
shell residue—Glu424 (2.20 Å) to maintain its six coordination
number and distorted octahedral geometry. Except for His377, all first
coordination shell residues interact with both metal cations at a
relatively longer distance in comparison to PSMA–In1 (Table ). On account
of the large size of pinacolborane, the phenylboronic ester escapes
from the hydrophobic site that wraps around In1 and intercalates
into the funnel-shaped tunnel that has enough space to accommodate
large ligands. The equilibrated structure of the active site deviates
from the crystal structure by an average of 1.41 Å (Figure b), winding up with
significant displacement of nearly every residue and metal ion. Akin
to PSMA–In1, the simulation of the PSMA–In2 complex attains equilibrium at approximately 40 ns (Figures a and S1b). Upon In2 binding, the population of conformational
ensembles in PSMA–In2 is quite comparable to that
in PSMA–In1 because the corresponding PCA (Figure c) reveals an R-shaped
graph with a similar amount of energy basins and whole surface area.
Figure 5
Most representative
structure of the PSMA–In2 complex derived from
MD simulations: (a) active site with the inhibitor,
(b) superposition of the active site of the equilibrated structure
(magenta carbon) and crystal structure (cyan carbon), (c) principal
component analysis, (d) NCI plot of the S1′ site with amino
acid residues labeled, (e) NCI plot of the S1 site with amino acid
residues labeled, and (f) contact map of the S1 site.
Most representative
structure of the PSMA–In2 complex derived from
MD simulations: (a) active site with the inhibitor,
(b) superposition of the active site of the equilibrated structure
(magenta carbon) and crystal structure (cyan carbon), (c) principal
component analysis, (d) NCI plot of the S1′ site with amino
acid residues labeled, (e) NCI plot of the S1 site with amino acid
residues labeled, and (f) contact map of the S1 site.The outline of the tunnel that incorporates the P1 part of In2 is clearly observed in the NCI contour plot of the PSMA–In2 complex (Figure S2b). In comparison to the PSMA–In1 complex, the
composition of the S1′ site is analogical but still composed
of several different residues. The phenyl ring forms tilted T-shaped
π–π interaction with the side chain of Phe209.
In contrast to In1, the terminal carboxylate group of In2 forms only two hydrogen bonds (2.34 Å and 1.81 Å,
respectively) with Leu261 and Asn262. Besides, this group and adjacent
ester oxygen are recognized by the ε-amine group of Lys699 (Nζ) through a weaker salt bridge (3.30 Å) and a weaker
hydrogen bond (2.76 Å), respectively. All these differences may
correlate with a slight rotation of P1′ in PSMA–In2 induced by the position variance of P1. Analogous to In1, the strong π–π interaction with the aromatic
ring of P1 precludes Tyr700 to function as a “glutarate probe
sensor”. Alternatively, Asn257 takes the place of Tyr700 to
interact with the α-carboxylate group of P1′, and Tyr700’s
contribution is largely compensated by π interactions around
the aromatic ring of P1′.Depicted in Figure e, the NCIs in the S1 site
of the PSMA–In2 complex
are substantially weaker in comparison to PSMA–In1. The phenylboronic ligand breaks away from the clamp of Tyr552 and
Tyr700, shifting to the accessory binding tunnel (Figure S3b) that contains sufficient space for its accommodation.
In this tunnel, the side chain of Arg463 is included in a cation−π
interaction with the phenyl ring of P1 and a hydrogen bonding with
one ester oxygen atom. Parallel-displaced π–π stacking
manifests itself between the phenyl ring and Tyr700. These interacting
residues are clearly displayed as orange square points at the third
row of the S1 site’s contact map (Figure f). Since the size of boronic pinacol ester
is larger than that of boronic acid, the possibility of its location
at the preceding arginine patch can be completely obviated. The association
of In2 with PSMA demonstrates a subtly increased (1.7%)
α-helix content (39.1%) but the overall similar secondary structure
(Figure S4) as the PSMA–In1 complex. The computed binding free energy for In2 is
−15.2 kcal/mol (Table ), which is substantially higher than the one (−28.0
kcal/mol) calculated for In1. The decreased binding affinity
of In2 is substantiated by the increased IC50 value (318.4
nM) of an In2 analogue[67] and
is related to the conversion from the bidentate binding mode to the
monodentate mode. The weaker NCIs in S1′ and S1 sites also
contribute to this reduction.
PSMA–In3 Interactions
As discussed above,
in order to invoke the successful BNCT, at
least ∼20 μg of B10 per weight of tumor has
to be selectively delivered into the tumor cells. Once these boron
atoms absorb enough thermal neutrons, they will produce high LET α
particles with pathlengths of 5–9 μm in tissues to destroy
the boron-containing tumor cells while sparing the adjacent normal
cells.[1,3] To achieve that, boron density should be
enhanced by increasing the percentage of boron atoms within an inhibitor.
In In3, the phenyl ring of P1 is substituted by a borazine
ring, which is a cyclic compound constructed by three BH units and
three NH units alternatively. Although isoelectronic and isostructural
with benzene, borazine is suggested to be aromatic but possesses less
electron delocalization than all-carbon analogues due to different
electronegativities of the boron and nitrogen atoms.[74,75]In3 coordinates to the bimetallic center of PSMA in
a μ-1,6 bidentate fashion (Figure a) analogous to In1. The relative
positions of the first coordination shell residues are preserved (Table ) so that both Zn2+ ions are still six coordinated and adopt the distorted octahedral
geometry. Based on the structural similarity, the boron ligand (borazine
ring and boronic acid) of In3 inserts into the same hydrophobic
pocket that accommodates the phenylboronic acid of In1. The first and second principal components of α carbon atoms
construct an inverse V-shaped graph in the PCA of the PSMA–In3 complex (Figure c). In contrast to PSMA–In1 and PSMA–In2 complexes, fewer energy basins in this graph suggest that the In3 binding triggers less structural variations in PSMA.
Figure 6
Most representative
structure of the PSMA–In3 complex derived from
MD simulations: (a) active site with the inhibitor,
(b) superposition of the active site of the equilibrated structure
(magenta carbon) and crystal structure (cyan carbon), (c) principal
component analysis, (d) NCI plot of the S1′ site with amino
acid residues labeled, (e) NCI plot of the S1 site with amino acid
residues labeled, and (f) contact map of the S1 site.
Table 2
Metal Coordination Number and Metal–Metal,
Metal–Substrate, Metal–OH, and Metal–Ligand Distances
(Å) for the First Coordination Shell Residues in PSMA Equilibrated
Structures (Inhibitors 3, 4, and 5) and the Calculated Binding Free
Energies of Distinct Inhibitors (kcal/mol)a
PSMA–In3
PSMA–In4
PSMA–In5
coordination number
6(Zn1), 6(Zn2)
7(Zn1), 6(Zn2)
7(Zn1),
6(Zn2)
MZn1–MZn2
3.48
3.40
3.35
inhibitor
2.24(Zn1),
2.24(Zn2)
2.18,2.43(Zn1), 2.32(Zn2)
2.20,
2.50(Zn1), 2.36(Zn2)
μOH
1.89(Zn1), 1.85(Zn2)
1.85(Zn1), 1.87(Zn2)
1.87(Zn1), 1.99(Zn2)
His377
2.15(Zn2)
2.07(Zn2)
1.96(Zn2)
Asp387
2.26(Zn1), 2.11(Zn2)
2.09(Zn1), 2.12(Zn2)
2.39(Zn1), 2.05(Zn2)
Glu424
8.52(Zn2)
6.00(Zn2)
4.48(Zn2)
Glu425
2.25,
2.11(Zn1)
2.27, 2.11(Zn1)
2.20, 2.27(Zn1)
Asp453
2.11, 2.17(Zn2)
2.27, 2.17(Zn2)
2.12, 2.24(Zn2)
His553
2.15(Zn1)
2.05(Zn1)
2.02(Zn1)
binding free energy
–43.9
–23.2
–38.2
Metal coordination sites (Zn1 and
Zn2) are shown in the parentheses.
Most representative
structure of the PSMA–In3 complex derived from
MD simulations: (a) active site with the inhibitor,
(b) superposition of the active site of the equilibrated structure
(magenta carbon) and crystal structure (cyan carbon), (c) principal
component analysis, (d) NCI plot of the S1′ site with amino
acid residues labeled, (e) NCI plot of the S1 site with amino acid
residues labeled, and (f) contact map of the S1 site.Metal coordination sites (Zn1 and
Zn2) are shown in the parentheses.The overall microenvironment of In3 inside
PMSA resembles
that of In1 (Figure S2c).
However, in comparison to PSMA–In1, Ser517 and
Gly518 interchange their positions with Gly256 and Glu522 at the S1′
site of PSMA–In3 (Figure d). The α-carboxylate group of P1′
in In3 is recognized by the guanidinium moiety (Nη) of Arg210 and the backbone amino group of Asn257 through
a salt bridge (2.43 Å) and a hydrogen bond (1.99 Å), respectively.
The borazine ring of P1 approaches the side chains of Phe209 and Arg210,
suggesting that In3 intercalates more deeply into the
S1′ site than In1. This deeper intercalation can
also be confirmed by the shorter hydrogen bonds (1.74 and 1.92 Å)
between the terminal carboxylate of P1′ and Leu261/Asn262.
As a result, the aromatic ring in P1′ forms cation−π
interactions with the ε-amine group of Lys699, while in the
previous two cases, Lys699 interacts with the terminal carboxylate
group through a salt bridge. Additionally, the phenyl ring of Phe209
further stabilizes the same aromatic ring by tilted T-shaped π–π
interactions. Similar to the complexes of In1 and In2, Tyr552 and Tyr700 are restrained by the borazine ring
of In3, preventing them from donating hydrogen bonds
to the α-carboxylate group. On the other hand, the guanidinium
group (Nη) of Arg536 in the S1 site (Figure e) interacts with the α-carboxylic
group of P1 by a strong salt bridge (2.16 Å), thus staying in
the “binding” conformation. Arg463 can play the role
of position mark, and the absence of its interaction with In3 indicates that the inhibitor is engaged in a translational motion
toward the S1′ site and the boron ligand is more buried in
the hydrophobic pocket (Figure S3c). In
the PSMA–In1 complex, the aromatic ring of P1
interacts with Tyr552 and Tyr700, while Arg210 and Tyr234 only form
interactions with the hydroxyl groups of boronic acid. In contrast,
albeit with a slightly weaker aromaticity, the increased localization
of electrons on the BH and NH units of the borazine ring can interact
with Arg210 and Tyr234. Moreover, it turns out that all these four
residues and Phe209 besiege the borazine ring (close distances shown
in Figure f). The
phenyl ring of Phe209 and the phenol rings of Tyr552/Tyr700 form π–π
interactions with the borazine ring, which in turn associates with
Tyr234 through OH−π interaction. A binding free energy
of −43.9 kcal/mol for In3 is significantly lower
than those for In1 and In2 (Table ). This difference suggests
that PSMA prefers to associate with In3. The stronger
binding of In3 than of In2 is understandable
(bidentate vs monodentate binding). However, its stronger binding
in comparison to In1 is trivial. From the viewpoint of
NCIs, the slightly less aromatic but more electrostatic borazine ring
of In3 is more buried in the hydrophobic pocket, producing
more interactions around the boron ligand and pushing P1′ more
deeply into the S1′ site. This movement again generates more
π–π interactions around the phenyl ring of P1′
and stronger hydrogen bonds on the terminal carboxylate group.
PSMA–In4 Interactions
In4 consists of the same number of boron atoms as In3,
but it contains a different aromatic ring—boroxine
ring, which is composed of alternating oxygen and singly hydrogenated
boron atoms (shown in the circle in Figure ). Thus, the boronic acid can only occupy
the meta rather than the para position with respect to the P1 chain.
The boroxine is also isoelectronic to benzene, yet it possesses less
aromatic character than borazine due to the larger difference in electronegativity
between the oxygen and boron atoms.[76] With
vacant p-orbitals on boron atoms, boroxine can accept electrons from
phenyl or negatively charged groups. In the active site of PSMA–In4 (Figure a), all
three oxygens from the ureido linkage and carboxylate side chain of
P1 are involved in a tripartite ligation of the bimetallic cations.
This appealing observation seems to be a bit gratuitous at first glance
but maybe correlated with the movement of the P1 part in the S1 site.
Although the coordination between the carboxylate oxygen and Zn1 is
loose (2.43 Å, Table ), it alters the molecular geometry at the Zn1 site from the
distorted octahedron to the distorted pentagonal bipyramid. First
coordination shell residues experienced some fluctuations (Figure b) and display a
slightly higher RMSD value (0.76 Å, Figure b) than those for In1 and In3 complexes. The PCA of the PSMA–In4 complex (Figure c) offers an inverse V-shaped graph that has four distinct energy
basins. Since PCA of the In3 complex has a similar number
of energy basins, these two inhibitors are considered to generate
comparable conformations during the simulations.
Figure 7
Most representative structure
of the PSMA–In4 complex derived from MD simulations:
(a) active site with the inhibitor,
(b) superposition of the active site of the equilibrated structure
(magenta carbon) and crystal structure (cyan carbon), (c) principal
component analysis, (d) NCI plot of the S1′ site with amino
acid residues labeled, (e) NCI plot of the S1 site with amino acid
residues labeled, and (f) contact map of the S1 site.
Most representative structure
of the PSMA–In4 complex derived from MD simulations:
(a) active site with the inhibitor,
(b) superposition of the active site of the equilibrated structure
(magenta carbon) and crystal structure (cyan carbon), (c) principal
component analysis, (d) NCI plot of the S1′ site with amino
acid residues labeled, (e) NCI plot of the S1 site with amino acid
residues labeled, and (f) contact map of the S1 site.As expected, the meta substitution of boronic acid on the
boroxine
ring causes it to jump out of the hydrophobic pocket that can occupy
both In1 and In3. The drift of the boron
ligand of In4 is deemed to result in the tripartite coordination
to the bimetallic site and the shift-up of the P1′ part, which
promotes the loss of contact between P1′ and Phe209/Lys699
(Figures d and S2d). Additionally, the salt bridge between Arg210
and the α-carboxylate side chain of P1′ becomes very
weak (3.04 Å), while the hydrogen bond (2.28 Å) donated
from Asn257 is conserved. The residues of Asn257, Gly427, Leu428,
and Asn519 contribute to the stabilization of the phenyl ring of P1′from
both the sides. Furthermore, the terminal carboxylate group is trapped
by a hydrogen bonding network created by residues Leu261, Asn262,
Ala264, and Gly265. In the S1 site, the boron ligand resides itself
in the accessory binding tunnel (Figure S3d) and less NCIs are observed between In4 and environmental
residues (Figure e,f).
The α-carboxylate group of P1 makes a very weak salt bridge
(4.00 Å) with the guanidinium moiety (Nη) of
Arg536. Differing from previously inhibitors, Arg534 also exhibits
some weak electrostatic interactions with the amide bond of P1. A
nearly perfect cation−π interaction manifests itself
between the boroxine ring and the guanidinium group of Arg463. It
is noteworthy that the boroxine ring is completely devoid of π–π
interaction with Tyr700 due to its’ weaker aromaticity. In
general, tripartite ligation of the inhibitor to metal ions is suggestive
of a high binding potency. Nevertheless, the binding free energy of In4 is computed to be −23.2 kcal/mol, which is 4.8
and 20.7 kcal/mol higher than those of In1 and In3, respectively. This lower binding affinity could be explained
by less NCIs around the boron ligand, weaker salt bridges on α-carboxylate
groups, and loss of contact with Phe209/Lys699 described previously.
PSMA–In5 Interactions
In order to further increase the boron density within PSMA, a closo carborane ball (1,2-C2B10H11–1, shown in the circle in Figure ) is attached to the phenyl
ring of P1 to create In5. 1,2-C2B10H11–1 is an icosahedral electron-delocalized
nonclassical bonding cluster composed of hydrogen, boron, and carbon
atoms.[77] It is usually characterized by
the electron-deficient 3-center 2-electron (3c-2e) chemical bond,
and its stability is derived from completely filled bonding molecular
orbitals. The carborane clusters and related metallacarboranes are
employed in a wide range of applications including catalysis, medicines,
electroactive materials, and recovery of radioactive metals from nuclear
waste and heat-resistant polymers. The electronic structures of these
electron-delocalized polyhedral compounds can be predicted by the
Wade-Mingos rules[78,79] that are invoked depending on
the number of electrons per vertex. The equilibrated structure of
the PSMA–In5 active site (Figure a) displays a tripartite coordination similar
to that of the PSMA–In4 complex. The comparatively
large-sized carborane ball is completely accommodated in the accessory
binding tunnel like the cases of In2 and In4. This is in accordance with the crystal structure of PSMA in complex
with a carborane-containing inhibitor.[60] Large deviations in the equilibrated active site of PSMA–In5 are reflected by the high RMSD value (1.38 Å, Figure b). When compared with In1–In4, the conformational variations upon binding
of In5 are the largest because the PCA of the PSMA–In5 complex (Figure c) shows a unique U-shaped plot with maximum conformational ensembles.
It illustrates that the accommodation of In5 inside PSMA
induces maximum structural variations in contrast to all previous
inhibitors.
Figure 8
Most representative structure of the PSMA–In5 complex derived from MD simulations: (a) active site with the inhibitor,
(b) superposition of the active site of the equilibrated structure
(magenta carbon) and crystal structure (cyan carbon), (c) principal
component analysis, (d) NCI plot of the S1′ site with amino
acid residues labeled, (e) NCI plot of the S1 site with amino acid
residues labeled, and (f) contact map of the S1 site.
Most representative structure of the PSMA–In5 complex derived from MD simulations: (a) active site with the inhibitor,
(b) superposition of the active site of the equilibrated structure
(magenta carbon) and crystal structure (cyan carbon), (c) principal
component analysis, (d) NCI plot of the S1′ site with amino
acid residues labeled, (e) NCI plot of the S1 site with amino acid
residues labeled, and (f) contact map of the S1 site.Just like the In2 complex, the shape of the
accessory
binding tunnel is clearly shown in the NCI plot of the whole cavity
in PSMA–In5 (Figure S2e). Due to similar positions of the boron ligand and identical tripartite
ligation, the P1′ part of In5 resembles that of In4 in terms of the NCIs in the S1′ site. The absence
of salt bridges contributed by Arg210 and Lys699 could be ascribed
to the upward movement of the P1′ portion. The β-amide
group of Asn257 and the peptide bond of Gly427/Leu428 are involved
in parallel and tilted T-shaped π stacking with the aromatic
ring of P1′, respectively. The methylene/methyl groups of Leu428
engaged in CH−π interactions with the same ring, which
adopts a tilted T-shaped arrangement relative to the side chain of
Phe209. It is worth mentioning that aromatic-amide interaction is
one of the most common NCIs in proteins. However, the NH−π
contacts are generally outnumbered by the aromatic-amide-stacked structures
with the sp2-hybridized nitrogen atoms.[80] This phenomenon can be attributed to the higher number
of conventional hydrogen bonds the NH group can form in the stacked
orientation.[81] Analogously, the terminal
carboxylate side chain interacts with the backbone amino groups of
Leu261, Asn262, Gly263, and Ala264 via hydrogen bonds. In the accessory
binding tunnel (Figure S3e), the P1 of In5 displays more interactions with residues that wrap around
it (Figure e) in comparison
to In2 and In4. Two strong hydrogen bonds
(2.07 and 2.32 Å) are formed between the carbonyl oxygen of amide
in P1 and guanidinium protons (Hθ) of Arg534. The
aromatic ring of P1 is arranged in a perfect parallel-displaced π
stacking with the phenol ring of Tyr700 on one side. On the other
hand, the backbone carbonyl bond, α-methylene group, and phenyl
ring of Phe546 add to the stability of this aromatic ring. Being electron-deficient,
the carborane ball is predisposed to receive electrons from electron-donating
groups to enhance the delocalization effect. The methylene groups
of Lys207, guanidinium group of Arg463, peptide bond of Lys545/Phe546,
γ-amino group of Asn698, backbone carbonyl oxygen of Tyr700,
and α-methyl group of Ala701 are all found to donate electrons
to carborane. All these interactions and tripartite coordination are
confirmed in the contact map (Figure f), thus predicting a high binding potency for In5. Its binding free energy is calculated to be −38.2
kcal/mol, which is the second lowest among all inhibitors studied.
This may result from the lack of three salt bridges that originated
from Arg210, Lys699, and Arg536 in the PSMA–In5 complex. The IC50 value of an In5 mimic was measured
to be 20.3 nM.[67] Moreover, a series of closo-, nido-, and iodo-C-hydroxy carborane
clusters have been reported to bind with PSMA for BNCT.[66] Among them, a radiolabeled 123I analogue
exhibited the highest affinity with an IC50 value of 73.2 nM. This
indicated that except for the urea-based scaffold, the carborane cluster
is also tolerant with respect to structural modification. In this
situation, it is beneficial for us to search for the best BNCT compounds
by modifying the existing molecules.
Summary
and Conclusions
In this study, the molecular docking and
MD simulation techniques
have been employed to investigate the binding potencies and interactions
of five potential urea-based boron-containing inhibitors with PSMA.
These inhibitors are derived from the common urea-based PSMA binding
skeleton that has been reported previously. They contain chemically
distinct boron ligands (Figure ): (1) phenylboronic acid in In1; (2) phenylboronic
ester in In2; (3) borazine ring and boronic acid in In3; (4) boroxine ring and boronic acid in In4; and (5) carborane ball in In5. The number of boron
atoms within one molecule is gradually increased from 1 to 10 because
the effective BNCT not only requires the strong binding affinity of
the inhibitor to the target protein but also necessitates the high
boron density within tumor cells.[3,5] It is found
that different inhibitors bind in a rather distinct mode to generate
PSMA–inhibitor complexes, which are mainly dominated by hydrogen
bonding, salt bridge, electrostatic, and π–π interactions.
Specifically, In1 and In3 bind to the bimetallic
active site in a μ-1,6 bidentate mode. Their boron ligands are
inserted into a hydrophobic pocket encompassed by Arg210, Tyr234,
Tyr552, and Tyr700 (Figure S3). In contrast, In2 is singly coordinated to Zn1, while In4 and In5 are involved in a tripartite ligation to both metal ions.
The boron ligands of these three inhibitors are accommodated in the
funnel-shaped tunnel due to different reasons: the comparatively large
size of boron ligands in In2 and In5 and
the meta substitution of boronic acid on the boroxine ring in In4. Nonetheless, they all share a commonality: none of the
ligands are trapped in the arginine patch mentioned in the previous
studies.[55,61] This may be attributed to the steric hindrance
created by those large boron ligands. By and large, these results
demonstrate the flexibility of the S1 site of PSMA because the P1
portion of an inhibitor can be located in various positions based
on its chemical nature. On the other hand, the P1′ part of
all inhibitors is located in the S1′ site of PSMA and interactions
around this part are influenced by the position of the P1 portion.
For In3, the P1′ intercalates deeper into the
S1′ site, exhibiting more interactions with PSMA. However,
for In4 and In5, the P1′ shifts up
and loses contact with several important residues (Phe209 and Lys699)
at the bottom of the S1′ site.The association of the
inhibitor to PSMA does not alter the overall
secondary structure of PSMA (Figures S4 and S5), which consists of approximately 38% helical and 15% beta-sheet
conformations. The binding free energies are calculated using the
λ-particle approach in a thermodynamic cycle and are analyzed
based on the NCIs between the inhibitor and PSMA. The computed free
energies suggest a binding preferential order (Tables and 2): In3 (−43.9 kcal/mol) > In5 (−38.2 kcal/mol)
> In1 (−28.0 kcal/mol) > In4 (−23.2
kcal/mol) > In2 (−15.2 kcal/mol). The measured
IC50 values (130.3, 318.4, and 20.3 nM)[67] for analogues of three inhibitors (In1, In2, and In5) are in excellent agreement with the order
predicted by binding free energies. Even though the binding property
of In3 to PSMA is the best, the boron density of In5 is the highest and its binding potency is only slightly
lower than that of In3. By taking into account the balance
between binding potency and boron density, In5 should
be considered as the best option for BNCT. In summary, our computational
study can complement experimental binding studies between PSMA and
potential BNCT reagents that are typically performed by isothermal
calorimetry (ITC) or Trp fluorescence spectroscopy. It provides the
detailed atomistic and thermodynamic properties of each enzyme–inhibitor
complex that may be useful for the design of In5 like
PSMA inhibitors. This information is expected to stimulate the development
of effective PSMA-targeted BNCT reagents with both high boron density
and enhanced binding affinity. However, they need to be synthesized
and characterized using experimental techniques.
Computational
Details
The 1.84 Å resolution crystal structure of PSMA
(PDB ID: 4NGM) was obtained from
Protein Data Bank (PDB).[55] The structures
of various urea-based boron-containing inhibitors were fully optimized
without any geometrical constraint at the B3LYP[82]/6-31G(d)[83] theory level by utilizing
the Gaussian 09 program.[84] These optimized
structures were used to develop their force field parameters utilizing
Automated Topology Builder (ATB).[85] These
parameters are compatible with the GROMOS force field family in a
wide range of formats. The molecular docking procedure was performed
using Autodock Vina 1.5.6 software[86] to
derive the binding poses of inhibitors to the bimetallic active site
of PSMA. Two docking approaches (rigid docking and flexible docking)
were used to yield 20 poses with an exhaustiveness value of 20 for
each trial, and the size of the grid box was chosen to cover the entire
active site of PSMA. The lowest energy poses provided by these docking
protocols were used as the starting points for MD simulations, which
were performed using the GROMACS program[87] and the Gromos 54A7 force field.[88] The
enzyme–substrate complexes were equilibrated in a cubic box
with dimensions of 10 × 10 × 10 nm for all simulations to
obviate the adverse impacts that maybe induced by the application
of periodic boundary conditions.[89] This
box was saturated with SPC water molecules,[90] some of which were replaced by sodium and chloride ions to simulate
a physiological ion concentration of 154 mM and neutralize the system.
Since the active site of PMSA is deeply buried away from the water
solvent, SPC is an adequate water model for this system. The energy
minimization with 3000 steps was performed on the starting structures
through the steepest descent method with the coordinates of the active
site and inhibitor frozen. The resulting structures from that energy
minimization were first equilibrated for 20 ns by placing distance
restraints around the active site and substrate to minimize the energy
of the environment. Subsequently, the MD simulations on these equilibrated
structures were performed for 100 ns without any restraints. All these
simulations were carried out using a constant number of particles
(N), pressure (P), and temperature
(T), that is, NPT ensemble or isobaric
ensemble. The LINCS algorithm[91] was employed
to constrain the bond lengths of the peptide, and the SETTLE algorithm[92] was used to constrain the bond lengths and angles
of water molecules. The long-range electrostatic interactions were
calculated using the particle mesh Ewald (PME) method[93] with a cutoff value of 1.2 nm. Peptides, metal ions, inhibitors,
water molecules, and ions were coupled separately in a bath at 1 atm
and 300 K with coupling constants of 1.0 and 0.1 ps, respectively.
A time step of 2 fs was utilized to compute the trajectory of each
model, and a pH of 7.0 was used to set amino acid residues to their
normal ionization states.Several built-in tools within GROMACS
were employed to analyze
the trajectories obtained from MD simulations. The most representative
structures of enzyme–substrate complexes were derived from
the cluster analysis, in which the frame with the greatest number
of neighbors was selected as the middle structure to represent the
cluster that has been constructed by grouping together the structurally
similar frames (RMSD cutoff of 0.3 nm). The computed RMSD and pairwise
RMSD[94] values confirmed the convergence
of all equilibrated structures within the simulation timeframe. The
binding free energies between PSMA and inhibitors were calculated
by the lambda (λ) particle approach[95−97] in a thermodynamic
cycle that describes the bound and unbound states. In this cycle,
the relative binding energies between an enzyme and a ligand can be
defined as the difference in free energy associated with the chemical
changes of the ligand into the enzyme in their bound and solvated
states. In this approach, the Coulombic and van der Waals interactions
between PSMA and inhibitors were turned off in a sequential and systematic
way: first Coulombic interactions were turned off and then the van
der Waals interactions. This sequence of operations avoided the interactions
of opposite charges at intimate distances, which could lead to unrealistic
configurations and imprecise energies. The soft-core interactions[98] were applied to Lennard-Jones and Coulomb potentials
to remove singularities in these potentials and circumvent a poor
convergence at λ close to 0 or 1. The values of soft-core parameters
(α, sc_alpha in mdp), soft-core power (λ, sc_power in
mdp), and radius of interaction (σ, sc_sigma in mdp) when either
C6 or C12 is zero were set to 0.5, 1.0, and 0.3, respectively. NCIs
between inhibitors and PSMA were calculated and visualized using the
NCIPLOT program,[99] which identifies the
NCIs based on the electron densities and their derivatives. The contact
maps and defined secondary structure protocol (DSSP)[100] of all complexes were generated from their compacted trajectory
files (xtc files) by inbuilt tools of mdmat and DSSP within the GROMACS
software package. The zinc metal ions, inhibitors, and S1 site residues
were chosen as references to highlight their relative positions in
the contact maps. They were labeled by the residue index in a numerical
order as listed below: 1-Zn1, 2-Zn2, 3-inhibitor, 4-μOH, 5-Tyr205,
6-Lys207, 7-Phe209, 8-Arg210, 9-Tyr234, 10-Glu457, 11-Arg463, 12-Arg534,
13-Arg536, 14-Lys545, 15-Phe546, 16-Ser547, 17-Gly548, 18-Tyr552,
19-Asn698, 20-Tyr700, and 21-Ala701. ESP of PSMA was created using
Adaptive Poisson-Boltzmann Solver software[101] and visualized with PyMol.[102] In addition,
VMD,[103] ChemDraw,[104] YARASA,[105] and Chimera[106] software programs were also utilized to visualize and prepare
the diagrams used in this study. The conformational dynamics of all
complexes were investigated by performing principal component analysis
(PCA)[107,108] of the alpha carbon atoms. The PCA reduces
the dimensionality of large data variables, while preserving as much
information as possible.
Authors: Nathan Schmid; Andreas P Eichenberger; Alexandra Choutko; Sereina Riniker; Moritz Winger; Alan E Mark; Wilfred F van Gunsteren Journal: Eur Biophys J Date: 2011-04-30 Impact factor: 1.733
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