Broad-spectrum antiviral drugs are urgently needed to stop the Coronavirus Disease 2019 pandemic and prevent future ones. The novel severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) is related to the SARS-CoV and Middle East respiratory syndrome coronavirus (MERS-CoV), which have caused the previous outbreaks. The papain-like protease (PLpro) is an attractive drug target due to its essential roles in the viral life cycle. As a cysteine protease, PLpro is rich in cysteines and histidines, and their protonation/deprotonation modulates catalysis and conformational plasticity. Here, we report the pKa calculations and assessment of the proton-coupled conformational dynamics of SARS-CoV-2 in comparison to SARS-CoV and MERS-CoV PLpros using the recently developed graphical processing unit (GPU)-accelerated implicit-solvent continuous constant pH molecular dynamics method with a new asynchronous replica-exchange scheme, which allows computation on a single GPU card. The calculated pKa's support the catalytic roles of the Cys-His-Asp triad. We also found that several residues can switch protonation states at physiological pH among which is C270/271 located on the flexible blocking loop 2 (BL2) of SARS-CoV-2/CoV PLpro. Simulations revealed that the BL2 can open and close depending on the protonation state of C271/270, consistent with the most recent crystal structure evidence. Interestingly, despite the lack of an analogous cysteine, BL2 in MERS-CoV PLpro is also very flexible, challenging a current hypothesis. These findings are supported by the all-atom fixed-charge simulations and provide a starting point for more detailed studies to assist the structure-based design of broad-spectrum inhibitors against CoV PLpros.
Broad-spectrum antiviral drugs are urgently needed to stop the Coronavirus Disease 2019 pandemic and prevent future ones. The novel severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) is related to the SARS-CoV and Middle East respiratory syndrome coronavirus (MERS-CoV), which have caused the previous outbreaks. The papain-like protease (PLpro) is an attractive drug target due to its essential roles in the viral life cycle. As a cysteine protease, PLpro is rich in cysteines and histidines, and their protonation/deprotonation modulates catalysis and conformational plasticity. Here, we report the pKa calculations and assessment of the proton-coupled conformational dynamics of SARS-CoV-2 in comparison to SARS-CoV and MERS-CoV PLpros using the recently developed graphical processing unit (GPU)-accelerated implicit-solvent continuous constant pH molecular dynamics method with a new asynchronous replica-exchange scheme, which allows computation on a single GPU card. The calculated pKa's support the catalytic roles of the Cys-His-Asp triad. We also found that several residues can switch protonation states at physiological pH among which is C270/271 located on the flexible blocking loop 2 (BL2) of SARS-CoV-2/CoVPLpro. Simulations revealed that the BL2 can open and close depending on the protonation state of C271/270, consistent with the most recent crystal structure evidence. Interestingly, despite the lack of an analogous cysteine, BL2 in MERS-CoVPLpro is also very flexible, challenging a current hypothesis. These findings are supported by the all-atom fixed-charge simulations and provide a starting point for more detailed studies to assist the structure-based design of broad-spectrum inhibitors against CoV PLpros.
Over the last two decades, three coronaviruses have caused deadly epidemics, threatening
the global human population. The severe acute respiratory syndrome coronavirus (SARS-CoV)
caused an outbreak in 2003, and a related Middle East respiratory syndrome coronavirus
(MERS-CoV) caused an outbreak in 2012. Today, the world is facing the pandemic of the
Coronavirus Disease 2019 (COVID-19) caused by a novel coronavirusSARS-CoV-2, which shares
about 82% genome sequence identity with the original SARS-CoV. All three viruses are thought to have originated from animal
reservoirs, and zoonotic transmission into the human population has led to the
outbreaks. Currently, no effective
treatment exists for any of the three coronavirus diseases; thus, there is an urgent need to
understand the potential therapeutic targets and develop inhibition strategies.Following the release of the coronavirus genome from the acidic endosome, the replicase
polyproteins are translated and subsequently self-cleaved by two cysteine proteases to
produce the functional non-structural proteins that are required for viral replication. The
papain-like protease (PLpro) located in Nsp3 produces Nsp1, Nsp2, and Nsp3, while the
3C-like or main protease located in Nsp5 cleaves 11 sites downstream of Nsp4. In addition to the proteolytic
function, CoVPLpro counteracts the host cell innate immune response by deactivating
signaling cascades that lead to the impairment of production of pro-inflammatory cytokines
and interferons. The former is
accomplished through a deubiquitinating activity, which leads to the removal of ubiquitin
from signaling proteins, and latter
through the deISGylating activity, which leads to the removal of ISG15 from IRF3. Thus, PLpro is a critical player in the
viral life cycle and as such an attractive drug target for stopping COVID-19 and other
coronavirus outbreaks.Most recently, the first (and only) two x-ray structures of SARS-CoV-2PLpro were
determined (PDB 6W9C and 6WRH). The PLpro monomer (about 300 residues), which is the
predominant form in solution, is
comprised of an independent N-terminal ubiquitin-like domain (first 62 residues) and a
C-terminal catalytic domain [Figs. 1(a) and 1(b)]. The latter folds in a canonical
thumb–palm–fingers-like structure, with the Ubl domain anchored to the thumb. The interface
between the thumb (residues 107–113, 162–168) and palm (residues 269–279) forms the
substrate binding site leading to the catalytic triad of the active site comprising Cys111,
His272, and Asp286 [Fig. 1(b)]. The substrate binding
site is solvent exposed and flanked by a flexible β-hairpin loop called the
blocking loop 2 or blocking loop 2 (BL2) (G266–G271). The fingers’ subdomain contains a zinc
finger coordinated by four cysteines, which upholds the structural integrity and is
essential for the PLpro activity. The
structure of SARS-CoV-2PLpro is nearly identical to that of SARS-CoVPLpro, as expected from the highly similar
sequences [96% similarity and 83% identity, Fig. 1(c)].
In contrast, although the structure of MERS-CoVPLpro overlays well with the SARS-CoVPLpro
structures, small differences are visible [Fig. 1(a)],
as expected from the larger sequence differences [66% similarity and 30% identity with
SARS-CoVPLpro, Fig. 1(c)].
FIG. 1.
Structure and sequence of SARS-CoV-2 PLpro in comparison to SARS-CoV and MERS-CoV
PLpros. (a) X-ray crystal structure of SARS-CoV PLpro (in gray; PDB 2FE8), MERS-CoV PLpro (in salmon; PDB
4RNA) overlaid on SARS-CoV-2 PLpro
(in green; PDB 6W9C). (b) The thumb (residues 63–182), palm (residues 241–314), and
fingers (residues 183–240) subdomains of SARS-CoV-2 PLpro are shown in different colors.
The Cys and His residues are represented by yellow and blue spheres, respectively. The
active site is also shown in a zoomed-in view, with the catalytic His, Cys, and Asp side
chains represented by the stick model and the BL2 loop (G266–G271) colored red. (c)
Sequence similarity and identity between SARS-CoV, SARS-CoV-2, and MERS-CoV PLpros. The
sequence alignment of a part of the thumb and palm subdomains is shown.
Structure and sequence of SARS-CoV-2PLpro in comparison to SARS-CoV and MERS-CoV
PLpros. (a) X-ray crystal structure of SARS-CoVPLpro (in gray; PDB 2FE8), MERS-CoVPLpro (in salmon; PDB
4RNA) overlaid on SARS-CoV-2PLpro
(in green; PDB 6W9C). (b) The thumb (residues 63–182), palm (residues 241–314), and
fingers (residues 183–240) subdomains of SARS-CoV-2PLpro are shown in different colors.
The Cys and His residues are represented by yellow and blue spheres, respectively. The
active site is also shown in a zoomed-in view, with the catalytic His, Cys, and Asp side
chains represented by the stick model and the BL2 loop (G266–G271) colored red. (c)
Sequence similarity and identity between SARS-CoV, SARS-CoV-2, and MERS-CoV PLpros. The
sequence alignment of a part of the thumb and palm subdomains is shown.All three CoV PLpros are rich in Cys and His residues. SARS-CoV/CoV-2PLpro contains 8/11
Cys and 11/9 His, while MERS-CoVPLpro contains 14 Cys and 10 His residues [Fig. 1(c)]. Among them, five Cys and two His residues are
conserved in all three PLpros, including the catalytic Cys and His. Cys and His have model
pKa’s of 8.6 and 6.5, respectively; thus, in model compounds or peptides at
physiological pH 7.4, they are both predominantly neutral, i.e., Cys is protonated and His
is singly protonated. However, in the protein environment, a small pKa downshift
for Cys or upshift for His may occur, leading to a significant population of or a complete
switch to the alternative protonation state, i.e., negatively charged, deprotonated Cys and
positively charged, doubly protonated His.A protonation state switch is an important energy transduction mechanism to enable
functionally required conformational changes in biology. For example, the coronavirus spike
protein makes use of protonation state switches to induce large conformational changes
required for membrane fusion. Our
previous work employing the hybrid-solvent based continuous constant pH molecular dynamics
(CpHMD) simulations demonstrated that
the elucidation of proton-coupled conformational dynamics offers a deeper understanding of
the structure–dynamics–function relationships and inhibition mechanisms of aspartyl proteases.Toward understanding the (possibly) proton-coupled structure–function relationship and
assisting broad-spectrum inhibitor design, here, we report the pKa calculations
and preliminary assessment of the proton-coupled conformational dynamics of SARS-CoV-2PLpro
in comparison to SARS-CoV and MERS-CoV PLpros. This work employed the recently developed
graphical processing unit (GPU)-accelerated GB-Neck2 implicit-solvent based CpHMD
method with a new asynchronous
implementation of the pH replica exchange sampling protocol. To confirm our findings, the
conventional all-atom fixed-charged MD in Amber18 was also applied. The simulations allowed us to determine the
protonation states of all titratable sites, including the catalytic Cys–His–Asp triad,
offering a timely knowledge to facilitate the MD studies of PLpros in the community.
Importantly, we tested a hypothesis regarding the proton-coupled conformational plasticity
of the BL2 loop, which modulates substrate and inhibitor binding. The contrasting features
among the three CoV PLpros have implications for designing broad-spectrum antiviral
inhibitors. For ease of discussion, the acronyms used in this work are listed in Table I.
TABLE I.
Acronyms used in this work.
Acronym
Full name
SARS
Severe acute respiratory syndrome
MERS
Middle East respiratory syndrome
CoV
Coronavirus
CoV-2
Coronavirus 2
PLpro
Papain-like protease
BL2
Flexible blocking loop 2
Ubl
Ubiquitin-like
GPU
Graphical processing unit
MD
Molecular dynamics
CpHMD
Continuous constant pH molecular dynamics
GB
Generalized Born
PB
Poisson–Boltzmann
Acronyms used in this work.
METHODS AND PROTOCOLS
System preparation
The coordinates were retrieved from the protein data bank (PDB): SARS-CoVPLpro (PDB
2FE8), SARS-CoV-2PLpro (PDB 6W9C),
and MERS-CoVPLpro (PDB 4RNA). If
multiple chains were available in the x-ray crystal structure, only the first chain was
used. Any small molecules or solvent were removed. For each structure, the acetylated
N-terminus and amidated C-terminus along with all missing hydrogens were added using the
CHARMM program (C36b2). In the crystal
structure of SARS-CoV-2PLpro (PDB 6W9C), a disulfide bond is present in the fingers’
subdomain in place of a zinc ion. Considering that the zinc ion cannot be represented in
implicit-solvent simulations, we removed the zinc ion and added an analogous disulfide
linkage between the closest non-adjacent cysteine pairs in all other structures to
maintain the integrity of the fingers’ subdomain. The disulfide linkage should not affect
the pKa’s of the discussed residues, as they are located far away in other
subdomains [Fig. 1(a)]. Following the addition of
hydrogens and disulfide bridge, the structure was subject to a 20-step energy minimization
with the heavy atoms restrained and a 20-step energy minimization with all atoms
restrained but the disulfide bonded cysteine pairs. The minimization used ten steps of
steepest decent and ten steps Newton–Raphson methods. From there, the force field
parameters and coordinate files were constructed from the CHARMM output with the LEAP
utility in Amber. The ff14sb force
field was used to represent the
protein, and the GB-Neck2 (igb = 8) implicit-solvent model was used to represent solvent. The mbondi3 intrinsic Born radii
were modified for improving the titration simulations of His and Cys side chains. The structure was then energy minimized and
equilibrated in GB-Neck2 implicit solvent, following our previous protocol. The energy minimization was performed using the steepest decent
algorithm for 5000 steps and the conjugate-gradient algorithm for 1000 steps. The
equilibration was performed at pH 7 in four stages, each having 2000 MD steps with
gradually decreased restraining force constants of 5 kcal/mol/Å2, 2
kcal/mol/Å2, 1 kcal/mol/Å2, and 0 kcal/mol/Å2. The
final structure was used for CpHMD titration simulations.
CpHMD simulations with an asynchronous replica exchange scheme
The titration simulations were performed using the recently implemented GPU-accelerated
GBNeck2-CpHMD method in the pmemd
engine of Amber18. The implementation
is built upon the CPU version of the GBNeck2-CpHMD module and the GPU version of the GBNeck2 module in Amber18. The GBNeck2-CpHMD method has its origin in the GBSW-CpHMD
method implemented in CHARMM. Here, we implemented an asynchronous version of the pH
replica-exchange protocol to allow
Amber replica-exchange simulations to be performed on a single GPU or several GPUs with a
total number smaller than the number of replicas. A similar implementation that allows
replica-exchange molecular dynamics on CPUs to progress without centralized
synchronization steps and the need for direct communication between processors was
developed by Gallicchio, Levy et al. in the past. The Python script of our asynchronous pH replica-exchange
algorithm is freely available at https://gitlab.com/shenlab-amber-cphmd/async_ph_replica_exchange.The conventional way of running replica exchange is to use one GPU (or one CPU core) per
replica. Under this scheme, all replicas are running at the same time, and periodically,
an attempt is made to exchange pH values (or configurations) between replicas according to
the Metropolis criterion. This method is not feasible if the number of replicas is larger
than the number of available GPUs. Instead, in the asynchronous method, the replicas are
consecutively run on each available GPU, starting from the lowest pH condition. As soon as
two replicas that are supposed to exchange at that exchange step are completed, the
exchange is attempted, not waiting for other replicas to finish. As soon as a GPU finishes
a replica, that GPU is assigned the next available pH value and begins a new single-pH
simulation. If all replicas at a single exchange step are being run, the GPU will be
assigned the first replica from the next exchange step to avoid idling GPUs. In the
current Amber implementation of pH replica exchange, the pH conditions are swapped, but to simplify the arrangement
of replicas, the asynchronous method instead swaps configurations and keeps a constant
arrangement in pH space. This also eliminates a post-processing step in which the replica
trajectories are sorted and stitched together according to their pH conditions.Our previous work showed that pH replica-exchange enhances both protonation and
conformational state sampling, allowing pKa’s to rapidly converge. In the protocol, nine pH
replicas were placed at pH values ranging from pH 4.5 to 8.5 at an interval of 0.5 pH
units. An exchange of two adjacent pH conditions was attempted every 1000 MD steps (or 2
ps). Each replica was run for 55 ns, resulting in an aggregate time of 495 ns for each.
The λ values were recorded after each exchange attempt. All side chains
of Asp, Glu, His, Cys, and Lys were allowed to titrate, with their titration model
parameters taken from our previous work. An ionic strength of 0.15M was used to represent the
physiological salt condition. Simulations were run at a temperature of 300 K and an
effectively infinite cutoff (999 Å) for nonbonded interactions. SHAKE was used to
constrain bonds involving hydrogens to allow for a 2-fs time step.
Conventional all-atom fixed-charge MD simulations
To support the findings from the GB-CpHMD simulations, two all-atom MD simulations were
carried out for SARS-CoV-2PLpro (PDB 6W9C) using the predicted protonation states for
Asp, Glu, His, Cys, and Lys at pH 8.5. Note, since several residues may switch protonation
states at physiological pH according to the CpHMD predictions, pH 8.5 was used to avoid
ambiguity in choosing protonation states. Two additional runs were carried out using the
protonated form of Cys270. All simulations were performed with Amber18. The protein and water were represented by
the ff14SB and TIP3P force fields. The initial structure was
placed in a truncated octahedron box of water molecules. Long-range electrostatic
interactions were handled by using the Particle Mesh Ewald method. A non-bonded cutoff of 8 Å was used with a time step of 2
fs. The starting structure underwent energy minimization by applying 5000 steps of
steepest descent, followed by 5000 steps of conjugate gradient minimization with a force
constant of 25 kcal/mol/Å2 applied to the solute heavy atoms. The force
constant was reduced to 5 kcal/mol/Å2, and the system was heated from 100 K to
300 K for 50 ps. Following heating, solvent was equilibrated in the NPT ensemble for 250
ps using the isotropic Berendsen barostat and with the same force constant. Subsequently, the restraints
were removed, and the system was further relaxed for 100 ps in the NPT ensemble. Finally,
two production runs of 1 µs each were performed for each system starting
from a different random initial velocity seed. All analysis was performed with the Amber
module CPPTRAJ. The first 300 ns from
each trajectory was discarded.
RESULTS AND DISCUSSION
We performed pH replica-exchange CpHMD simulations to estimate the pKa values of
Asp/Glu/His/Cys/Lys side chains and assess possible proton-coupled dynamics in SARS-CoV,
SARS-CoV-2, and MERS-CoV PLpros. The titration simulations were conducted in the pH range of
4.5–8.5 and lasted 55 ns per replica (aggregate simulation time of 495 ns for each protein).
The protonation states were well converged. Consistent with our previous work, we found that the protonation states of His
residues converge rapidly within 10 ns per replica, and those of Cys converge more slowly
due to the formation of hydrogen bonds that are not present in the crystal structure (see
later discussion). The convergence analysis of protonation state sampling and replica walks
along the pH ladder are given in Figs. S1–S6 of the supplementary
material.For the ease of discussion, we refer to the “standard” protonation states as the default
settings in the MD programs, i.e., deprotonated Asp/Glu (negatively charged), deprotonated
His (neutral), with one proton on either δ or ε nitrogen,
protonated Cys (neutral), and protonated Lys (positively charged). Our simulations showed
that several Cys, His residues and one Asp are in the “non-standard” protonation state or
can switch to this state at physiological pH in all three PLpros (Table II). A complete list of the calculated pKa’s is given in
Table 1 of the supplementary
material.
TABLE II.
Calculated pKa’s of the catalytic residues and those that may switch
protonation states at physiological pH in SARS-CoV, SARS-CoV-2, and MERS-CoV PLpros.
Residue
SARS
SARS-2
MERS
…/…/C32
…
…
7.2
C112/111/111a
<4.5
<4.5
<4.5
C271/270/…
6.9
6.7
…
-/-/H52
…
…
6.9
H74/73/…
7.3
7.3
…
H90/89/…
7.0
6.9
…
H176/175/…
7.4
7.3
…
H273/272/278a
>8.5
>8.5
>8.5
D13/12/11
5.9
6.7
5.2
D287/286/293a
<4.5
<4.5
<4.5
Catalytic triad residues. A complete list of the calculated pKa’s is given
in Table 1 of the supplementary material.
Calculated pKa’s of the catalytic residues and those that may switch
protonation states at physiological pH in SARS-CoV, SARS-CoV-2, and MERS-CoV PLpros.Catalytic triad residues. A complete list of the calculated pKa’s is given
in Table 1 of the supplementary material.
Protonation states and hydrogen bond network of the catalytic triad
We first consider the catalytic triad in SARS-CoV-2PLpro. The catalytic Cys111 is
located in the thumb, His272 is located in the foothill of the palm adjacent to the
flexible loop BL2, and Asp286 is located at the end of β18 [Fig. 1(b)]. Currently, no measured pKa data
are available. Biochemical experiments of SARS-CoVPLpro suggested that the Cys serves as
a nucleophile, while the His functions as a general acid with the assistance of a
negatively charged Asp; however, it is
unclear whether the reactive nucleophile is the thiolate of the Cys⋯His ion pair or the
neutral thiol, which becomes deprotonated upon binding of the substrate. The calculated pKa’s of Cys111
and Asp286 are <4.5, whereas the pKa of His272 is >8.5, indicating that
the catalytic triad residues are all in the charged state at physiological pH. Thus, our
data support the mechanism in which the reactive nucleophile is the thiolate ion, rather
than the neutral thiol that needs to be first activated by the substrate.The CpHMD simulations showed that the Cys–His–Asp triad maintains a catalytic geometry
through several hydrogen bonds, which supports their protonation states. The catalytic
His272 forms a hydrogen bond simultaneously with Cys111 and Asp286 in the entire pH range
of 4.5–8.5, stabilizing His272 in the doubly protonated state and Asp286 and Cys111 in the
deprotonated states [Figs. 2(a) and 2(d)]. The doubly protonated form allows His272 to
perform its role as a general acid. The
catalytic Cys111 forms a hydrogen bond not only with His272 but also with the indole
nitrogen of Trp106, which provides further stabilization for the thiolate form and
explains the significant downshifted pKa relative to the solution value of 8.5
(Table II). The Cys111⋯Trp106hydrogen bond is
important, as it maintains the position of Trp106; the analogous residue in SARS-CoVPLpro
has been hypothesized as the oxyanion hole residue that donates a hydrogen bond to
stabilize the negatively charged tetrahedral intermediate developed in the course of
peptide hydrolysis. The three hydrogen
bond interactions in SARS-CoV-2PLpro are consistent with those in SARS-CoVPLpro [Fig. 2(b)].
FIG. 2.
Hydrogen bond formation of the catalytic triad in the PLpros. [(a)–(c)] Occupancy of
the hydrogen bond between the doubly protonated catalytic His and the deprotonated
catalytic Asp (green) or Cys (blue), as well as between Trp106 and the deprotonated
catalytic Cys (magenta) as a function of pH in SARS-CoV-2 (top), SARS-CoV (middle),
and MERS-CoV (bottom) PLpros. Residue numbering in SARS-CoV-2 PLpro is used. A
hydrogen bond was defined using a distance cutoff of 2.4 Å between the hydrogen and
oxygen or nitrogen atoms. Data from the last 25 ns/replica were used in the
calculations. (d) A snapshot showing the hydrogen bonds formed by the catalytic triad
in SARS-CoV-2 PLpro.
Hydrogen bond formation of the catalytic triad in the PLpros. [(a)–(c)] Occupancy of
the hydrogen bond between the doubly protonated catalytic His and the deprotonated
catalytic Asp (green) or Cys (blue), as well as between Trp106 and the deprotonated
catalytic Cys (magenta) as a function of pH in SARS-CoV-2 (top), SARS-CoV (middle),
and MERS-CoV (bottom) PLpros. Residue numbering in SARS-CoV-2PLpro is used. A
hydrogen bond was defined using a distance cutoff of 2.4 Å between the hydrogen and
oxygen or nitrogen atoms. Data from the last 25 ns/replica were used in the
calculations. (d) A snapshot showing the hydrogen bonds formed by the catalytic triad
in SARS-CoV-2PLpro.In MERS-CoVPLpro, Trp106 is replaced with a Leu, which is incapable of forming a
hydrogen bond with the catalytic Cys or with the negatively charged intermediate. This has
been hypothesized as a cause for the significantly lower catalytic activity of MERS-CoV as
compared to SARS-CoVPLpro. In
addition to the missing Cys⋯Trphydrogen bond, CpHMD simulations of MERS-CoVPLpro showed
that the hydrogen bond between the catalytic His and Asp is nearly abolished [Fig. 2(c)]. The loss of hydrogen bond interactions
involving the catalytic His and Cys appears to provide less stabilization to the
respective charged states in MERS-CoVPLpro, as suggested by the partial titration under
the highest and lowest pH conditions, respectively (see Fig. S3). To test whether the loss
of hydrogen bond network affects the flexibility of the regions near the catalytic triad,
we calculated the root-mean-square fluctuations (RMSFs) of the Cα atoms
of the catalytic triad and nearby five residues (Fig.
3). Interestingly, the RMSFs of the loop residues that are sequence neighbors of
the catalytic triad in MERS-CoVPLpro are increased as compared to those in SARS-CoV-2 and
SARS-CoV PLpros, which are similar except for the flexible BL2 loop (267–271) region. The
loop (106–116) adjacent to α4, which harbors the catalytic Cys, the BL2
loop next to the catalytic His, and the β-hairpin loop next to the
catalytic Asp all display enhanced mobility [Figs.
3(a) and 3(b)]. The largest increase in RMSF
is seen for the BL2 loop, whereby the RMSF in MERS-CoVPLpro is nearly doubled relative to
SARS-CoV-2PLpro, which shows a somewhat higher mobility than SARS-CoVPLpro. The
extremely high flexibility of the BL2 loop in MERS—as compared to SARS-CoVPLpro is
consistent with the lack of electron density for the region in the first x-ray structure
of the apo MERS-CoVPLpro.
FIG. 3.
Flexibility of the catalytic triad regions of the PLpros. (a) Root-mean-square
fluctuations of the Cα atoms of the catalytic triad and nearby five
residues in SARS-CoV-2, SARS-CoV, and MERS-CoV PLpros. The sequences of SARS-CoV-2/CoV
and MERS-CoV PLpros are aligned, and the residue numbering of SARS-CoV-2 PLpro is
used. (b) A snapshot of the catalytic triad regions in SARS-CoV-2 PLpro. Cys111
(yellow), His272 (blue), and Asp286 (red) side chains are explicitly shown, and the
nearby residues are colored green.
Flexibility of the catalytic triad regions of the PLpros. (a) Root-mean-square
fluctuations of the Cα atoms of the catalytic triad and nearby five
residues in SARS-CoV-2, SARS-CoV, and MERS-CoV PLpros. The sequences of SARS-CoV-2/CoV
and MERS-CoV PLpros are aligned, and the residue numbering of SARS-CoV-2PLpro is
used. (b) A snapshot of the catalytic triad regions in SARS-CoV-2PLpro. Cys111
(yellow), His272 (blue), and Asp286 (red) side chains are explicitly shown, and the
nearby residues are colored green.
Proton-coupled conformational dynamics of the BL2 loop in SARS-CoV/CoV-2
PLpro
The BL2 loop is perhaps the most prominent feature of the substrate binding site in
SARS-CoVPLpro, as its movement modulates the substrate and inhibitor binding. Crystal structures show that BL2 is open in
the unbound SARS-CoVPLpro and it closes by about 1.5 Å–2 Å in the bound form, which
allows hydrogen bonds to form between Tyr269/Gln270 and the inhibitor. Upon inspection of the x-ray structures of
SARS-CoV-2PLpro, We noticed that the BL2 loop is open in the pH 7.5 structure (PDB 6W9C)
and a zinc ion is found within the binding distance of Cys270; however, in the structure
determined at pH 4.5 (PDB 6WRH), the BL2 loop closes in by 1.9 Å (Cα
distance between Tyr268 and Asp164) and the zinc ion is absent. Thus, we hypothesized that
the BL2 loop dynamics is coupled to the titration of C270.CpHMD titrations gave the pKa’s of 6.7 and 6.9 for Cys270 in SARS-CoV-2PLpro
and the equivalent Cys271 in SARS-CoVPLpro, respectively (Table II). Thus, Cys270/C271 samples both protonated and deprotonated states at
physiological pH. The pKa that downshifts relative to the model Cys
pKa of 8.5 is due to the formation of local hydrogen bonds, which favors the
thiolate state. In the crystal structure of SARS-CoV-2PLpro, Cys270 does not interact
with Thr265. The titration simulations showed that the distance between Cys270 and Thr265
varies widely between 5 and 15 Å, when Cys270 is protonated (λ value
close to 0); however, when Cys270 is deprotonated (λ value close to 1),
the distance is locked to 1.5 Å–2.5 Å, indicating the formation of a hydrogen bond [Fig. 4(a)]. In addition to the hydroxyl group of Thr265,
the deprotonated Cys270 can also accept a hydrogen bond from the backbone amide groups of
His272 and Gly271, stabilizing the charged state [Fig.
4(b)]. The same hydrogen bonds were also formed in the simulations of SARS-CoVPLpro, which explains the similarly downshifted pKa of the equivalent
Cys271.
FIG. 4.
Titration of Cys270 is coupled to the conformational dynamics of the BL2 loop in
SARS-CoV/CoV-2 PLpro. (a) Correlation between the protonation state of Cys270 and the
distance between the sulfur of Cys270 and the hydroxyl hydrogen of Thr265 in the
SARS-CoV-2 PLpro simulation at pH 7. λ < 0.2 (orange) and
λ > 0.8 (red) are used to define protonated and deprotonated
states, respectively. (b) A snapshot showing the BL2 loop (red) and the hydrogen bonds
formed around a deprotonated Cys270 in SARS-CoV-2 PLpro. (c) Probability distributions
of the Cα distance between Tyr268 and Asp164, when Cys270 is
protonated (orange) or deprotonated (red) from the simulations of SARS-CoV-2 (top) and
SARS-CoV (bottom) PLpro at pH 7. Data from pH 7.5 and pH 8 simulations are similar and
not shown here. (d) A snapshot showing the BL2 loop environment with Y268 and D164
labeled.
Titration of Cys270 is coupled to the conformational dynamics of the BL2 loop in
SARS-CoV/CoV-2PLpro. (a) Correlation between the protonation state of Cys270 and the
distance between the sulfur of Cys270 and the hydroxyl hydrogen of Thr265 in the
SARS-CoV-2PLpro simulation at pH 7. λ < 0.2 (orange) and
λ > 0.8 (red) are used to define protonated and deprotonated
states, respectively. (b) A snapshot showing the BL2 loop (red) and the hydrogen bonds
formed around a deprotonated Cys270 in SARS-CoV-2PLpro. (c) Probability distributions
of the Cα distance between Tyr268 and Asp164, when Cys270 is
protonated (orange) or deprotonated (red) from the simulations of SARS-CoV-2 (top) and
SARS-CoV (bottom) PLpro at pH 7. Data from pH 7.5 and pH 8 simulations are similar and
not shown here. (d) A snapshot showing the BL2 loop environment with Y268 and D164
labeled.To test the hypothesis that protonation/deprotonation of Cys270 modulates the BL2
dynamics, we examined the Cα distance between Tyr268 on the BL2 loop and
the conserved Asp164 next to α7, which represents the width of the S3
subpocket [Figs. 4(c) and 4(d)]. The equivalent Tyr269 in SARS-CoVPLpro is an important residue,
as it forms a hydrogen bond with the inhibitors that bind to the S3 pocket. When Cys270 is protonated, the probability
distribution of the Tyr268–Asp164 distance covers a broad range of 8 Å–20 Å with a peak at
around 12 Å; however, when Cys270 is deprotonated, the distribution samples a narrower
range of 14 Å–20 Å with a peak at around 16 Å [Fig.
4(c)]. Thus, the CpHMD data suggest that the deprotonated Cys270 is correlated
with the BL2 conformations that are more open and rigid, which might be attributed to the
aforementioned hydrogen bond formation between the deprotonated Cys270 and the surrounding
residues. Turning to SARS-CoVPLpro, Fig. 4(c) shows
that the BL2 movement is coupled to the protonation/deprotonation of the analogous Cys271.
However, in SARS-CoVPLpro, it appears that the BL2 with a deprotonated Cys270 can sample
a wider range of 10 Å–20 Å as compared to SARS-CoV-2PLpro, although the peak remains
around 16 Å. The wider range of BL2 movement may be attributed to the somewhat weaker
hydrogen bonds involving the deprotonated Cys271. The movement of the BL2 loop is very
similar between SARS-CoV and SARS-CoV-2 PLpros when Cys270 is protonated.
Comparison of the BL2 conformation across the three PLpros
For broad-spectrum inhibitor design, it is important to understand the difference in the
BL2 conformation across the three PLpros. The distributions of the Tyr269/268–Asp165/164
distance for SARS-CoV/CoV-2 and the equivalent Thr274–Asp164 distance for MERS-CoVPLpro
at physiological pH [Figs. 5(a) and 4(d)] show that the widest position of the BL2 loop is
about the same across the three PLpros; however, the BL2 in SARS-CoV-2PLpro samples the
narrowest range, followed by SARS-CoVPLpro and MERS-CoVPLpro, which samples the widest
range between 5 Å and 22 Å. The enhanced flexibility of the BL2 in MERS-CoVPLpro may be
attributed to the lack of a Cys equivalent to Cys271/270 in SARS-CoV/CoV-2PLpro, which
can form hydrogen bonds with neighboring residues to restrict the loop motion, and perhaps
also the loosening of the nearby catalytic His, which no longer forms double hydrogen
bonds as in SARS-CoV/CoV-2PLpro.
FIG. 5.
Comparison of the BL2 loop conformation across the three PLpros and between low and
high pH. (a) Probability distributions of the Cα distance between
Tyr269/268 and Asp165/164 in SARS-CoV/CoV-2, and between Thr274 and Asp164 in MERS-CoV
PLpro at pH 7.5. (b) Probability distribution of the Cα distance
between Tyr268 and Asp164 in SARS-CoV-2 PLpro at pH 4.5 (red) and 7.5 (blue). (c)
Overlaid crystal structures showing the closed (red; pH 4.5 structure) and open (blue;
pH 7.5 structure) BL2 conformations.
Comparison of the BL2 loop conformation across the three PLpros and between low and
high pH. (a) Probability distributions of the Cα distance between
Tyr269/268 and Asp165/164 in SARS-CoV/CoV-2, and between Thr274 and Asp164 in MERS-CoVPLpro at pH 7.5. (b) Probability distribution of the Cα distance
between Tyr268 and Asp164 in SARS-CoV-2PLpro at pH 4.5 (red) and 7.5 (blue). (c)
Overlaid crystal structures showing the closed (red; pH 4.5 structure) and open (blue;
pH 7.5 structure) BL2 conformations.In agreement with the BL2 dynamics described with the protonated and deprotonated states
of Cys270 [Fig. 4(c)] and the x-ray structures
determined at pH 7.5 (PDB 6W9C) and pH 4.5 (PDB 6WRH), a significant pH dependence is
observed with the BL2 dynamics in the simulations of SARS-CoV-2PLpro (Fig. 5). In the simulation at pH 7.5, the BL2 loop
samples a state that leaves the S3/S4 subpocket more open, similar to the neutral pH
crystal structure [Fig. 5(c)]. In the simulation at
pH 4.5, the BL2 loop assumes a wide range of dynamics, allowing it to sample a state that
leaves the S3/4 subpocket more closed, similar to the low pH crystal structure [Fig. 5(c)].
The Ubl domain contains an Asp with a highly upshifted pKa
As expected, nearly all Asp/Glu residues adopt standard protonation states (i.e.,
charged) at physiological pH; however, Asp12 in SARS-CoV-2PLpro has a pKa
abnormally upshifted from its model pKa of 4.0 to 6.7 (Table II), making it possible to occasionally sample the protonated
state at pH 7.4. Trajectory analysis suggested that this upshift is, in part, due to the
protonated Asp12 acting as a hydrogen bond donor to either (deprotonated) Glu67 or Asn15
[Figs. 6(a) and 6(c)], which stabilizes the protonated state. The two hydrogen bonds are
mutually exclusive such that Asp12 is a hydrogen bond donor 82%–96% of the time when it is
in the protonated state [Fig. 6(a)]. In addition to
hydrogen bonding, Asp12 is buried in a hydrophobic pocket with a very low solvent
accessible surface area, which increases as Asp12 becomes deprotonated at higher pH [Fig. 6(b)]. In SARS-CoVPLpro, the analogous Asp13
experiences a similar degree of hydrogen bonding and solvent sequestration, resulting in a
upshifted pKa of 5.9. In MERS-CoVPLpro, the analogous Asp11 primarily donates
a hydrogen bond to Asn15, as the analogous residue to Glu67 is missing (Fig. S7). Compared
to Asp12/13 in SARS-CoV-2/CoVPLpro, Asp11 is more solvent exposed in the lower pH range
(Fig. S7), which may contribute to a smaller degree of pKa upshift of Asp11 in
MERS-CoVPLpro as compared to SARS-CoV/CoV-2PLpro.
FIG. 6.
Molecular determinants of the large pKa upshift of Asp12 in SARS-CoV-2
PLpro. (a) Occupancy of protonated Asp12 donating a hydrogen bond to the deprotonated
Glu67 or Asn15 in SARS-CoV-2 PLpro as a function of pH. Note, the fraction of
deprotonated Asp12 is very low above pH 7. (b) Solvent accessible surface area of
Asp12 (based on the heavy atoms) as a function of pH. (c) Snapshots showing the
hydrogen bond between Asp12 and Glu67 or Asn15.
Molecular determinants of the large pKa upshift of Asp12 in SARS-CoV-2PLpro. (a) Occupancy of protonated Asp12 donating a hydrogen bond to the deprotonated
Glu67 or Asn15 in SARS-CoV-2PLpro as a function of pH. Note, the fraction of
deprotonated Asp12 is very low above pH 7. (b) Solvent accessible surface area of
Asp12 (based on the heavy atoms) as a function of pH. (c) Snapshots showing the
hydrogen bond between Asp12 and Glu67 or Asn15.
Histidines that can switch protonation states at physiological pH
CpHMD titrations revealed that three histidines unique to SARS-CoV/CoV-2, H74/73, H90/89,
and H176/175 (Fig. 7), have pKa’s around 7
(Table II) and can sample both protonated and
deprotonated states at physiological pH. His74/73 located on the C-terminal end of
α2 in SARS-CoV/CoV-2 has a pKa of 7.3/7.3. Analysis
suggested that the pKa upshift relative to the model value of 6.5 is due to the
formation of hydrogen bonds with Phe70/69, Asn129/128, or a salt bridge with Glu71/70 (see
Fig. S8), which stabilizes the charged state. His90/89 located on the C-terminal end of
α3 in SARS-CoV/CoV-2 has a pKa of 7.0/6.9. Analysis showed
that a small pKa upshift relative to the model pKa is due to the
stabilization of the charged state by the occasional hydrogen bonding with the backbone
carbonyl of Ser86/85 or transient salt-bridge interaction with Asp107/108 located near the
oxyanion hole of the CoVPLpro (Fig. S9). His176/175 is located on the C-terminal end of
α7 and opposite to His74/73. The increased pKa of 7.4/7.3
can also be attributed to local hydrogen bonding either with His172 in SARS-CoV-1 or
Tyr171 in SARS-CoV-2PLpro (Fig. S10).
FIG. 7.
Locations of the three histidines in SARS-CoV/CoV-2 PLpro that can switch protonation
states at physiological pH. Residues that provide interactions to stabilize the
imidazolium form are shown.
Locations of the three histidines in SARS-CoV/CoV-2PLpro that can switch protonation
states at physiological pH. Residues that provide interactions to stabilize the
imidazolium form are shown.
All-atom fixed-charge MD of SARS-CoV-2 PLpro
To provide support for the protonation states determined by GB-CpHMD titrations and test
the proton-coupled dynamics of the BL2 loop, we performed conventional all-atom
fixed-charge MD simulations of SARS-CoV-2PLpro with the catalytic side chains fixed in
the charged states and Cys270 fixed in the protonated or deprotonated state. All other
residues were fixed in the standard protonation states. Two 1-µs
trajectories were obtained with each Cys270 protonation state. Consistent with the
GB-CpHMD simulations at physiological pH, the catalytic triad remained very stable, with
the hydrogen bond between His272 and Cys111 being the strongest, followed by the
His272⋯Asp286 and Cys111⋯Trp106hydrogen bonds, as shown in the hydrogen bond occupancy
plots [Fig. 8(a)]. Interestingly, while the effect of
Cys270 protonation/deprotonation appears negligible for the latter two hydrogen bonds
(occupancy change is below 5%), protonation of Cys270 weakens the His272⋯Cys111hydrogen
bond (occupancy decreases by over 20%). This decrease is consistent with the GB-CpHMD
data, which shows that the catalytic His⋯Cyshydrogen bond is significantly weakened below
pH 6 as Cys270 becomes fully protonated in SARS-CoV-2PLpro [Fig. 2(a)].
FIG. 8.
Conventional MD of SARS-CoV-2 PLpro with Cys270 fixed in the protonated or
deprotonated state. (a) Occupancies of the His272⋯Asp286, His272⋯Cys111, and
Cys111⋯Trp106 hydrogen bonds from the simulations with Cys270 fixed in the protonated
(orange) or deprotonated (red) states. The calculations combined the data from two
independent 1-µs trajectories. The first 300 ns data were discarded.
(b) Probability distribution of the Cα distance between Tyr268 and
Asp164 from the simulations with Cys270 fixed in the protonated (orange) or
deprotonated (red) state.
Conventional MD of SARS-CoV-2PLpro with Cys270 fixed in the protonated or
deprotonated state. (a) Occupancies of the His272⋯Asp286, His272⋯Cys111, and
Cys111⋯Trp106hydrogen bonds from the simulations with Cys270 fixed in the protonated
(orange) or deprotonated (red) states. The calculations combined the data from two
independent 1-µs trajectories. The first 300 ns data were discarded.
(b) Probability distribution of the Cα distance between Tyr268 and
Asp164 from the simulations with Cys270 fixed in the protonated (orange) or
deprotonated (red) state.To test the effect of Cys270 titration on the BL2 conformation, we calculated the
probability distribution of the Cα distance between Tyr268 and Asp164.
For the trajectories with protonated Cys270, the distribution displays a single peak at
about 11 Å; however, for the trajectories with deprotonated Cys270, a second peak appears
at about 17 Å [Fig. 8(b)]. These data indicate that
deprotonated Cys270 is correlated with the more open BL2 loop conformations, consistent
with the findings from the GB-CpHMD simulations [Fig.
4(c)]. However, due to the slow transition between the open and closed BL2 loop
conformations in explicit solvent, more trajectories or longer simulations are needed to
solidify the conclusion.
Comparison to structure-based Poisson–Boltzmann pKa calculations
We compare the CpHMD-predicted pKa’s of SARS-CoV-2/CoV and MERS-CoV PLpros
with those from the DelPhiPKa server,
which performs continuum Poisson–Boltzmann (PB) calculations with a smooth Gaussian
dielectric function. Note, Cys
pKa calculation is a newly added functionality in DelPhipKa. The default setting with a protein
internal dielectric constant of 8 was used. For the purpose of this work, we focus on the
pKa’s of His, Cys, and the abnormal Asp13/12/11 (Fig. S11). There appears to
be a good correlation for His and Cys pKa’s in the pKa range of
5–7.5 between the two methods; however, there is a large disagreement for the
pKa’s that are predicted to be highly down- or upshifted relative to the
model values by the CpHMD method. Close inspection suggests that the disagreement is
related to the small pKa ranges from the DelPhipKa calculations: 6–8 for His
and 5.5–7 for Cys (i.e., all cysteines are thiolates). Specifically, cysteines that have
CpHMD predicted pKa’s above 8.5 have pKa’s below 7 according to
DelPhipKa calculations. Similarly, histidines that have CpHMD predicted pKa’s
below 4.5 have pKa’s of about 6 according to DelPhipKa calculations. Another
significant disagreement is for Asp13/12/11, which have significantly upshifted
pKa’s according to CpHMD (5.2–6.7, see Table
II) but have downshifted pKa’s based on DelPhipKa (pKa 2–3,
Fig. S11). A possible explanation is that in the crystal structure, one of the carboxylateoxygens of Asp13/12/11 accepts a hydrogen bond from the side chain amino group of
Asn15/14/13, thereby stabilizing the deprotonated form. By contrast, in the CpHMD
simulations, Asn15/14/13 rotated such that its carbonyl group accepts a hydrogen bond from
Asp13/12/11, which additionally donates a hydrogen bond to Glu67 in SARS-CoV-2/CoV-2PLpro
(Fig. 6). Experimental measurements and future
community efforts such as the 2009 blind pKa prediction exercise are needed to assess and promote the
further development of various pKa calculation approaches.
CONCLUDING DISCUSSION
The protonation states and possible proton-coupled conformational dynamics of SARS-CoV-2PLpro were investigated in comparison to SARS-CoV and MERS-CoV PLpros using the
GPU-accelerated GBNeck2-CpHMD titration simulations with a new asynchronous pH
replica-exchange scheme as well as conventional all-atom MD. The simulations showed that the
catalytic Cys, His, and Asp are charged in the entire simulation pH range of 4.5–8.5 for all
three PLpros, which supports the mechanism in which the reactive nucleophile is the thiolate
ion and the catalytic His serves as a general acid stabilized by the catalytic aspartate.
The catalytic triad in SARS-CoV-2/CoVPLpro forms a hydrogen bond network among themselves
and with a nearby Trp, which serves as an oxyanion hole residue to stabilize the tetrahedral
intermediate developed in the peptide hydrolysis. In contrast, the hydrogen bond with Trp is
missing and the hydrogen bond between the catalytic His and Asp is nearly abolished in
MERS-CoVPLpro, consistent with the significantly lower catalytic activity compared to
SARS-CoVPLpro. Interestingly, the lack
of a hydrogen bond network for the catalytic triad in MERS-CoVPLpro is correlated with the
increased mobility of nearby loop residues, in particular the BL2 loop.The simulations revealed that several titratable residues have shifted pKa
values such that they switch between two protonation states at physiological pH. These
include three His and one Cys residues unique to SARS-CoV-2/CoV and one Asp residue common
to all three PLpros (Table II). Of particular
interest is Cys270/271 on the flexible BL2 loop of SARS-CoV-2/CoV, which has a
pKa of 6.7/6.9 and samples both the standard thiol and charged thiolate forms
at neutral pH. CpHMD simulations showed that the BL2 loop samples an open or a closed
conformational ensemble with deprotonated or protonated Cys270/271, respectively, consistent
with two crystal structures of SARS-CoV-2PLpro determined at neutral and low pH conditions
and the conventional all-atom MD trajectories of SARS-CoV-2PLpro with either deprotonated
or protonated Cys270. Thus, the simulation data and experiment together support our
hypothesis that the BL2 loop conformation is coupled to the titration of C270/271 in
SARS-CoV-2/CoVPLpro.An induced fit mechanism, by which BL2 closes in to form hydrogen bonds with the inhibitor,
has been proposed in designing potent inhibitors targeting the S3/S4 pocket of SARS-CoVPLpro. Our finding suggests that in the
absence of a ligand, protonation of C270/271 induces the closure of BL2 in SARS-CoV-2/CoVPLpro, which raises the possibility that a conformational selection mechanism may be
operative, in which inhibitor binding shifts the BL2 conformational population to the closed
form, perhaps by favoring the protonation of C270/271. While the unliganded crystal
structures show that BL2 in MERS-CoVPLpro is more open than in SARS-CoV-2/CoVPLpro, CpHMD
simulations suggest that BL2 has an increased flexibility in MERS-CoVPLpro and it can
sample closed conformations. This finding challenges a current hypothesis, according to
which SARS-CoVPLpro inhibitors do not bind to MERS-CoVPLpro due to the more open BL2 loop
as a result of the sequence difference and one extra residue. A main caveat of our work is the use of the GB-Neck2
implicit-solvent model. Although it has
been demonstrated in the accurate de novo folding simulations of nearly two
dozen small proteins with α and β topologies, inherent issues such as the lack of solvent
granularity may limit the accuracy of detailed conformational representation. Nonetheless,
our work provides a starting point for further mechanistic investigations using higher-level
approaches such as the all-atom CpHMD
and more extensive conformational sampling to assist the structure-based drug design
targeting the coronavirus PLpros.See the supplementary
material for convergence analysis, a list of pKa estimates for all
titratable residues, and additional hydrogen bond analysis.
DATA AVAILABILITY
The Python script to enable the asynchronous replica-exchange protocol for Amber
simulations is freely available at https://gitlab.com/shenlab-amber-cphmd/async_ph_replica_exchange. The data
that support the findings of this study and raw trajectory files are available from the
corresponding author upon reasonable request.
Authors: Mark A Clementz; Zhongbin Chen; Bridget S Banach; Yanhua Wang; Li Sun; Kiira Ratia; Yahira M Baez-Santos; Jie Wang; Jun Takayama; Arun K Ghosh; Kui Li; Andrew D Mesecar; Susan C Baker Journal: J Virol Date: 2010-02-24 Impact factor: 5.103
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Authors: Hyun Lee; Hao Lei; Bernard D Santarsiero; Joseph L Gatuz; Shuyi Cao; Amy J Rice; Kavankumar Patel; Michael Z Szypulinski; Isabel Ojeda; Arun K Ghosh; Michael E Johnson Journal: ACS Chem Biol Date: 2015-03-16 Impact factor: 5.100
Authors: Andreas W Götz; Mark J Williamson; Dong Xu; Duncan Poole; Scott Le Grand; Ross C Walker Journal: J Chem Theory Comput Date: 2012-03-26 Impact factor: 6.006
Authors: Marek Grabowski; Joanna M Macnar; Marcin Cymborowski; David R Cooper; Ivan G Shabalin; Miroslaw Gilski; Dariusz Brzezinski; Marcin Kowiel; Zbigniew Dauter; Bernhard Rupp; Alexander Wlodawer; Mariusz Jaskolski; Wladek Minor Journal: IUCrJ Date: 2021-03-26 Impact factor: 4.769
Authors: Anna Pavlova; Diane L Lynch; Isabella Daidone; Laura Zanetti-Polzi; Micholas Dean Smith; Chris Chipot; Daniel W Kneller; Andrey Kovalevsky; Leighton Coates; Andrei A Golosov; Callum J Dickson; Camilo Velez-Vega; José S Duca; Josh V Vermaas; Yui Tik Pang; Atanu Acharya; Jerry M Parks; Jeremy C Smith; James C Gumbart Journal: Chem Sci Date: 2020-11-26 Impact factor: 9.825