Laura C Watkins1, William F DeGrado2, Gregory A Voth1. 1. Department of Chemistry, Chicago Center for Theoretical Chemistry, Institute for Biophysical Dynamics and James Franck Institute, The University of Chicago, Chicago, Illinois 60637, United States. 2. Department of Pharmaceutical Chemistry, University of California, San Francisco, San Francisco, California 94158, United States.
Abstract
Prevalent resistance to inhibitors that target the influenza A M2 proton channel has necessitated a continued drug design effort, supported by a sustained study of the mechanism of channel function and inhibition. Recent high-resolution X-ray crystal structures present the first opportunity to see how the adamantyl amine class of inhibitors bind to M2 and disrupt and interact with the channel's water network, providing insight into the critical properties that enable their effective inhibition in wild-type M2. In this work, we examine the hypothesis that these drugs act primarily as mechanism-based inhibitors by comparing hydrated excess proton stabilization during proton transport in M2 with the interactions revealed in the crystal structures, using the Multiscale Reactive Molecular Dynamics (MS-RMD) methodology. MS-RMD, unlike classical molecular dynamics, models the hydrated proton (hydronium-like cation) as a dynamic excess charge defect and allows bonds to break and form, capturing the intricate interactions between the hydrated excess proton, protein atoms, and water. Through this, we show that the ammonium group of the inhibitors is effectively positioned to take advantage of the channel's natural ability to stabilize an excess protonic charge and act as a hydronium mimic. Additionally, we show that the channel is especially stable in the drug binding region, highlighting the importance of this property for binding the adamantane group. Finally, we characterize an additional hinge point near Val27, which dynamically responds to charge and inhibitor binding. Altogether, this work further illuminates a dynamic understanding of the mechanism of drug inhibition in M2, grounded in the fundamental properties that enable the channel to transport and stabilize excess protons, with critical implications for future drug design efforts.
Prevalent resistance to inhibitors that target the influenza A M2 proton channel has necessitated a continued drug design effort, supported by a sustained study of the mechanism of channel function and inhibition. Recent high-resolution X-ray crystal structures present the first opportunity to see how the adamantyl amine class of inhibitors bind to M2 and disrupt and interact with the channel's water network, providing insight into the critical properties that enable their effective inhibition in wild-type M2. In this work, we examine the hypothesis that these drugs act primarily as mechanism-based inhibitors by comparing hydrated excess proton stabilization during proton transport in M2 with the interactions revealed in the crystal structures, using the Multiscale Reactive Molecular Dynamics (MS-RMD) methodology. MS-RMD, unlike classical molecular dynamics, models the hydrated proton (hydronium-like cation) as a dynamic excess charge defect and allows bonds to break and form, capturing the intricate interactions between the hydrated excess proton, protein atoms, and water. Through this, we show that the ammonium group of the inhibitors is effectively positioned to take advantage of the channel's natural ability to stabilize an excess protonic charge and act as a hydronium mimic. Additionally, we show that the channel is especially stable in the drug binding region, highlighting the importance of this property for binding the adamantane group. Finally, we characterize an additional hinge point near Val27, which dynamically responds to charge and inhibitor binding. Altogether, this work further illuminates a dynamic understanding of the mechanism of drug inhibition in M2, grounded in the fundamental properties that enable the channel to transport and stabilize excess protons, with critical implications for future drug design efforts.
Proton transport (PT)
across cellular membranes is a critical component
of many biomolecular systems, necessary, for example, to maintain
pH gradients,[1,2] to drive ATP synthesis,[3] and to facilitate the co- or antitransport of
other small molecules.[4−6] Because of their essential role in such systems,
channels and transporters with PT functionality are often targets
for drug design to inhibit or control PT: in the case of viruses and
bacteria, to slow or prevent infection, but there are myriad other
disease applications.[7−9] Drug design is notoriously challenging, as both thermodynamic
and kinetic factors must be considered but are difficult to predict
and control, and its success depends on high quality structures, an
understanding of structural dynamics, and a knowledge of the protein’s
function and its mechanism. Thus, beyond elucidating mechanisms of
PT in order to understand how a specific channel or transporter works,
studying the detailed interactions that facilitate PT can provide
valuable insights to help guide drug design efforts.The influenza
virus kills up to 650 000 people each year,[10] and the impact of the recent global coronavirus
pandemic[11] emphasizes how critical it is
to maintain our focus on understanding and treating viral infections.
The influenza A virus matrix 2 (M2) proton channel is a homotetrameric
protein responsible for the acidification of the viral interior, a
critical step in the influenzainfection process.[12−14] It is the target
of two of the three currently available oral antivirals, amantadine
and rimantadine.[15,16] While these are effective at
blocking PT in wild-type M2, drug-resistant mutants have become the
predominant strains, the majority of which contain an S31N mutation.[17,18] This widespread resistance requires a continued drug design effort[19] informed by a deeper understanding of the PT
and drug inhibition mechanisms. Additionally, M2 is considered an
archetype for the viroporin family, a class of viral channels considered
ideal drug targets.[20] The SARS-CoV-2 virus
responsible for the COVID-19 pandemic contains two viroporins: protein
E and 3.[21−23] Thus, viroporins are a critical class of proteins
to study as potential therapeutic targets.M2 is located in
the viral capsid and is acid-activated: as the
pH of the endosome encapsulating the virus is lowered, the M2 channel
becomes activated and facilitates unidirectional proton flow to the
viral interior, allowing the virus to escape the endosome and infect
the cell. The key residue that controls activation is His37,[24−26] which can bind one additional proton and take on a +1 charge. One
histidine from each helix forms the His37 tetrad, which can collectively
hold a +0 to +4 excess charge, dependent on pH. The channel becomes
activated and the C-terminal portion opens (adopting the Inwardopen conformation) upon reaching the +3 state, and PT occurs
as the channel cycles through a transporter-like mechanism.[27−34]Amantadine and rimantadine belong to the adamantyl amine class
of inhibitors, binding in the upper-middle portion of the channel.
These drugs were the predecessors of many related adamantane-based
compounds featuring a relatively rigid, apolar group and an attached
charged group.[35−42] Recently, Thomaston et al. published several high-resolution X-ray
crystal structures of M2 with amantadine, rimantadine, and a novel
spiro-adamantyl amine bound.[43] These structures
provided the first opportunity to see the specific interactions that
facilitate stable inhibitor binding and the disruption of the hydrogen
bonded water network otherwise present. Along with an earlier qualitative
MD simulation study that guided the design of the spiro-adamantylamine inhibitors,[44] the crystallographic
analysis provided potential insights into the mechanism of inhibition,
suggesting that the backbone carbonyls of pore-lining residues act
as “physiochemical chameleons”, able to engage in both
hydrophobic and hydrophilic interactions, and that the drug is tilted
off the channel’s axis and interacts with waters in the Ala30
layer. Taken together, it is hypothesized that amantadine acts as
a mechanism-based inhibitor, with the ammonium group functioning as
a hydronium mimic. Computational studies to date have primarily focused
on the means of entry into the channel and location of binding,[45−50] but have not deduced specific interactions between the drug, channel,
and channel water involved in binding as they relate specifically
to similar interactions seen in the PT mechanism.Proton transport
is an inherently quantum mechanical process, as
the hydrated proton structure (hydronium-like) exists in a complex
hydrogen bonded network that rearranges dynamically as bonds break
and form according to the Grotthuss shuttling mechanism.[51−53] Thus, classical molecular dynamics (MD) with fixed bonding topology
cannot be used to study PT; moreover, ab initio methods
are not efficient enough to reach the many nanosecond time scales
necessary to obtain sufficient sampling in biomolecular systems that
may have important degrees of freedom several orders of magnitude
slower than proton shuttling. Multiscale Reactive Molecular Dynamics
(MS-RMD)[54−57] (and Multistate Empirical Valence Bond, MS-EVB, before it) was developed
to efficiently and accurately capture the solvation and delocalization
of an excess proton in water, such that the quantum-chemical nature
of the hydrated proton can be studied in the context of membrane proteins
over the long time scales needed for accurate simulation of such systems.
MS-RMD has been successfully applied in several protein systems to
predict and explain mechanisms of PT.[33,34,58−65]In previous work,[33,34] quantum mechanics/molecular
mechanics
(QM/MM) and MS-RMD were used to calculate potentials of mean force
(PMFs; i.e., free energy profiles) of PT through the M2 channel in
the +0 to +3 states, providing critical insight into the pH-dependent
activation behavior and the role of the His37 tetrad in PT. Most recently,
we further analyzed the MS-RMD simulations to explore the detailed
interactions between the hydrated excess proton and the channel and
found that the proton dynamically, as a function of its position,
alters several properties of the protein and pore waters, including
the hydrogen bonding network and the protein structure.[65] This latter work illustrates how MS-RMD can
be used successfully to investigate explicit, dynamic interactions
between a hydrated proton and its immediate environment, as well as
its indirect effects on other parts of the system. Here, we employ
an approach similar to that in this previous work to focus specifically
on properties related to drug binding and how the position of the
bound drug relates to the overall PT mechanism. Through this analysis,
we examine the hypothesis that the adamantyl amine drugs act as mechanism-based
inhibitors—by identifying stabilizing interactions between
the excess proton and the channel, we show how the drug may similarly
be stabilized in support of this hypothesis. Additionally, by examining
conformational fluctuations, we show that the drug binding pocket
is an especially stable and symmetrical portion of the channel, conducive
to binding a roughly spherical drug, and we reveal an additional minor
hinge point toward the top of the channel which may be a relevant
feature for future drug design efforts.
Methods
Simulations for calculating properties as the proton moves through
the top of the channel were run as follows. Starting structures were
taken from previous simulations, which were initiated from a crystal
structure of the transmembrane portion of the M2 channel (this construct
is referred to as M2TM) resolved at room temperature and high pH (PDB: 4QKL(66)) embedded in a 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine (POPC) bilayer solvated with water. M2TM
is the minimum construct necessary to retain proton conduction similar
to full-length M2,[67] and it has been shown
that the presence of amphipathic helices, included in the full-length
M2 protein, do not significantly influence the PT mechanism.[34] The water and excess proton in the system were
modeled using the MS-RMD method, which allows bonds to break and form
by taking a linear combination of different bonding topology states
at each time step. The MS-EVB version 3.2 parameters[68] were used to describe the hydrated excess proton. We refer
the reader to previous work for a full description of the method.[54−57] The excess proton center of excess charge (CEC) is defined as[69]where is the
center of charge of the ith diabatic MS-RMD state
and c2 is the amplitude of that state. The
sum is over all N states. The interactions in the
remainder of the system were defined
by the CHARMM36 force field. Simulations were run in the NVT ensemble at 308.0 K using LAMMPS[70] (http://lammps.sandia.gov) with
the MS-RMD package. The collective variable (CV) defined for umbrella
sampling (US) is the z-coordinate of the vector between
the excess proton CEC and the center of mass of the four Gly34 α-carbons,
as in our previous work, such that the CV has negative values at the
top (N-terminal end) of the protein and progresses to positive values
at the bottom (C-terminal end). Simulations were run with the excess
proton at every 0.5 Å along the CV coordinate between −18.0
and 1.0, generating 39 windows. To ensure that the proton remained
in the channel, a cylindrical restraint was added at 8 Å with
a force constant of 10 kcal/mol·Å2 using the
open-source, community-developed PLUMED library.[71,72] After a 250 ps MS-RMD equilibration, the replica exchange umbrella
sampling[73] technique was used to facilitate
convergence. Production simulations were run for ∼2–4
ns with frames saved every 1 ps.For calculating hydrogen bond
residence times, longer independent
trajectories were run with the CEC restrained in five different positions
using US as described above. Each trajectory was run for 1.75–2
ps with frames saved every 10 fs.Simulation frames were binned
by excess proton CEC value for subsequent
analyses, which were performed in Python[74] using the SciPy,[75] NumPy,[76] and pandas[77] libraries.
For hydrogen bond analysis, values were averaged over the four helices.
Hydrogen bonds were defined by the following criteria: the donor–acceptor
distance must be less than 3.5 Å and the donor–hydrogen–acceptor
angle must be greater than 150°. Several hydrogen bond definitions
were tested and did not affect the conclusions (not shown). For calculating
residence times, a hydrogen bond was considered in place as long as
the particular water molecule remained the closest water to the protein
atom and the hydrogen bond criteria were met.Images of molecular
structures were rendered in Visual Molecular
Dynamics (VMD),[78] while other figures were
generated using Matplotlib.[79]
Results and Discussion
If the adamantyl amine drugs are acting as mechanism-based inhibitors
as hypothesized, we would expect to see specific aspects of the PT
mechanism taken advantage of or replicated by the drug upon drug binding.
To test this, we performed MS-RMD simulations of M2 in the +0 His37
charge state with an explicit excess proton to evaluate the hydrogen
bonding networks, pore shape, and protein fluctuations throughout
PT that relate to drug binding. By focusing on PT in the +0 state,
we are studying the process of proton entry and diffusion to His37
in the first key step of channel activation, paralleling inhibitor
entry into the channel. We additionally expect this to be a prevalent
charge state in drug-bound structures due to the lowered His37 pKa’s.[80] Replica
exchange umbrella sampling was used to obtain sufficient sampling
of proton positions throughout the top portion of the channel, with
windows from CEC = −18.0 to 1.0
Å where the coordinate origin is defined as the center of mass
of the Gly34 α-carbons. The channel is aligned along the z-axis for all subsequent analyses.To understand
how properties of PT may provide insight into drug
binding, we primarily examine variations dependent on proton position.
We compared the values of each property when the proton is at the
drugs’ ammonium group positions versus other parts of the channel
to determine if the drugs could be taking advantage of the channel’s
natural ability to stabilize a proton. This idea is highlighted in Figure , which shows both
the drug-bound crystal structure and a snapshot of a hydrated excess
proton in the channel from our simulations. We refer to the drugs’
ammoniumnitrogen position along the z-axis in the
crystal structure as AmmN. This value
is −1.7 and −1.5 Å for the Inwardclosed amantadine and rimantadine bound structures, respectively (averaged
over the two tetramers in each crystal structure).
Figure 1
Comparison of M2 with
amantadine and the hydrated excess proton.
(left) X-ray crystal structure of amantadine-bound M2, PDB 6BKK. Water oxygens are
shown in red. A blue circle around the adamantane group is depicted
to reflect the spherical nature of this group. Hydrogens on the ammonium
group of amantadine were added. (right) Snapshot from an MS-RMD trajectory
with the most hydronium-like water indicated in green. In both, two
opposing chains of M2 are shown in silver. The Ser31 and His37 side
chains and the Gly34 and Ala30 backbone carbonyls are shown. The z-coordinate for the system is included on the left, where z = 0 Å is defined as the center of mass of the Gly34
α-carbons.
Comparison of M2 with
amantadine and the hydrated excess proton.
(left) X-ray crystal structure of amantadine-bound M2, PDB 6BKK. Wateroxygens are
shown in red. A blue circle around the adamantane group is depicted
to reflect the spherical nature of this group. Hydrogens on the ammonium
group of amantadine were added. (right) Snapshot from an MS-RMD trajectory
with the most hydronium-like water indicated in green. In both, two
opposing chains of M2 are shown in silver. The Ser31 and His37 side
chains and the Gly34 and Ala30 backbone carbonyls are shown. The z-coordinate for the system is included on the left, where z = 0 Å is defined as the center of mass of the Gly34
α-carbons.
Flexible Hydrogen Bonds
Stabilize the Excess Proton near AmmN
It has been shown in our previous
work that hydrogen bonds within the channel, including those between
water and protein atoms, help facilitate proton transport by altering
their direction and frequency of interaction as the proton moves through
the channel. Here, we focus specifically on water interactions that
may help account for excess charge stabilization near AmmN. In Figure , we calculate the occupancy of three different hydrogen bonds
between protein atoms and water as a function of the excess proton
position in the channel. While the Ala30hydrogen bond occupancy is
constant as the excess proton enters and moves through the top of
the channel, as it approaches the Ala30 carbonyls, the occupancy decreases
∼20%. This dip indicates the Ala30hydrogen bonded waters can
flexibly reduce their interaction with the protein as a result of
an excess charge in their vicinity. Additionally, this dip is centered
at −2.5 Å, near AmmN. At
this point, the role of the waters near Ala30 carbonyls in hydrating
the proton is maximized. In a previously published PMF of the +0 His37
charge state,[34] there is notably a local
minimum near this point, further indicating that an excess charge
is relatively stable here. This supports the hypothesis that amantadine
and rimantadine are mechanism-based inhibitors and take advantage
of the channel’s natural ability to stabilize a hydrated excess
proton in order to stabilize the drug’s ammonium group.
Figure 2
Hydrogen bond
occupancy averages and error as a function of hydrated
excess proton position between water and the backbone carbonyls of
Ala30 and Gly34, and the side chain hydroxyl group of Ser31. Approximate
average positions of Val27 side chains, Ser31 side chains, and Ala30
carbonyls are indicated.
Hydrogen bond
occupancy averages and error as a function of hydrated
excess proton position between water and the backbone carbonyls of
Ala30 and Gly34, and the side chain hydroxyl group of Ser31. Approximate
average positions of Val27 side chains, Ser31 side chains, and Ala30
carbonyls are indicated.The hydrogen bond occupancy
of waters with the Gly34 carbonyls
increases once the excess proton passes through the Val27 gate and
remains fairly consistent across proton positions thereafter, exhibiting
little dependence on the hydrated proton position once it is in the
channel. The Ser31 side chain water occupancies are shown for comparison,
which do not show a noticeable trend based on proton position. Thus,
this change in interactions is not a universal effect throughout the
channel, but the Ala30 waters seem to be uniquely flexible in this
manner. These differences are consistent with drug design studies:
while compounds such as spiro-adamantyl amine have been able to displace
the water in the Ala30 layer, no designed inhibitors have displaced
the water around Gly34.To further understand how the dynamics
of the hydrogen bond network
may show how these drugs benefit from the channel’s inherent
excess-charge stabilization used in proton transport, we examined
the average residence times of hydrogen bonds between water and several
important protein atoms. To do this, independent trajectories were
run for five different excess proton positions, including two trajectories
with the proton completely outside the channel (CEC = −24.0, 24.0 Å) and three when the proton is
near AmmN. These results are shown in Figure . The Ala30water
residence times slightly increase when the excess proton is near AmmN, the Ser31water residence times do not
show any significant difference between the proton outside the channel
and at AmmN, and those of Gly34 waters
decrease at AmmN. The waters hydrogen
bonded to His37 imidazolenitrogens show the greatest change in residence
times and are shown to highlight the ability of this method to describe
such differences.
Figure 3
Average hydrogen bond residence times, calculated for
the backbone
carbonyls of Ala30, Ser31, and Gly34, and the unprotonated nitrogen
of the His37 imidazole side chain. The quantities are averaged over
the interactions of all four helices, and error bars were calculated
using block averaging. Each bar represents the value calculated from
one trajectory with the proton restrained at the labeled z-coordinate.
Average hydrogen bond residence times, calculated for
the backbone
carbonyls of Ala30, Ser31, and Gly34, and the unprotonated nitrogen
of the His37 imidazole side chain. The quantities are averaged over
the interactions of all four helices, and error bars were calculated
using block averaging. Each bar represents the value calculated from
one trajectory with the proton restrained at the labeled z-coordinate.With the above results for Ala30,
this may indicate that several
waters remain tightly hydrogen bonded to the Ala30 backbone carbonyls,
while one or more are bonded less frequently. While the Gly34hydrogen
bonds do not form less frequently (as indicated in Figure ) with an excess charge in
this region, they do exhibit greater dynamics and flexibility. This
change indicates an increase in water dynamics when the excess proton
is near, which could help stabilize and solvate the excess charge
in the Ala30water layer.Taken together, these results further
support the hypothesis that
amantadine and rimantadine act as mechanism-based inhibitors: the
channel acts as a scaffold to facilitate PT by harboring flexible
protein–water interactions that can adapt and respond to a
positive excess charge, with the specific ability to stabilize an
excess proton near AmmN.
Drug Tilt Positions
Ammonium Group in Highest CEC Density
One prominent characteristic
of the amantadine and rimantadine
bound structures is the drug’s tilt within the pore. This tilted
conformation is also seen in solid-state NMR studies.[81] Given the drug’s threefold symmetry in a fourfold
symmetric channel, the ammonium group cannot form hydrogen bonds with
all four waters hydrogen bonded to Ala30, leading in part to this
tilt. Based on our previous work examining the proton’s path
through the channel, we used a similar analysis to examine the density
of CEC positions when the excess proton is near the ammonium position
in drug-bound structures. Figure A shows the difference in CEC density when the proton
is near AmmN compared with the average
over all proton positions through the top portion of the channel.
This two-dimensional histogram of CEC positions in the xy-plane is calculated for CEC = −1.7
± 0.2 Å, minus the average over all normalized histograms
for CEC positions [−18.0, 1.0]
Å binned every 0.2 Å. Interestingly, in this portion of
the channel the excess proton prefers to be near the edge of the pore,
unlike the predominant preference for the center of the pore throughout
the rest of the channel, as indicated by the positive values around
the edge and negative values in the center. Figure B shows the radial density of the CEC in
this same region of the channel. Possible positions of amantadine’s
ammonium group nitrogens were calculated based on the drug’s
position and tilt in the crystal structure, and their radii are included
as dashed lines (these positions were also used to generate the image
in Figure ). These
hydrogens can extend to a radius of ∼1.5 Å in this static
crystal structure, which means that the slightly off-centered ammonium
group directly positions one to two of its hydrogens in the region
of the CEC’s highest density. The CEC’s propensity for
the edge of the pore indicates that the drug’s tilt in the
channel may not only be a necessary component of its binding, but
also a thermodynamic advantage. This tilt further allows the drug
to act as a hydronium mimic, as the hydrogens of the ammonium group
are in the favorable positions of the solvated excess proton.
Figure 4
(A) Difference
in hydrated excess CEC density in the xy-plane when
the CEC is located within CEC = −1.7
± 0.2 Å compared with the average CEC density
over all CEC positions in the range z = [−18.0,
1.0]. (B) Average radial density of the proton when CEC = −1.7 ± 0.2 Å. One possible set
of positions of amantadine’s ammonium group hydrogens calculated
from the drug-bound crystal structure are indicated by blue dashed
lines.
(A) Difference
in hydrated excess CEC density in the xy-plane when
the CEC is located within CEC = −1.7
± 0.2 Å compared with the average CEC density
over all CEC positions in the range z = [−18.0,
1.0]. (B) Average radial density of the proton when CEC = −1.7 ± 0.2 Å. One possible set
of positions of amantadine’s ammonium group hydrogens calculated
from the drug-bound crystal structure are indicated by blue dashed
lines.The analysis of hydrogen bonding
changes and proton densities indicates
how the ammonium group is a functional addition to the adamantane
scaffold, as the charged group is positioned in a region where the
channel is especially adept to stabilize an excess charge. This stabilization
relies on flexible water structures and hydrogen bond interactions
that can undergo minor changes to accommodate the proton, suggesting
that the adamantyl amine inhibitors are acting as hydronium mimics:
they take advantage of these inherent features to help solvate the
charged ammonium group. The identification of other regions of the
channel with increased ability to stabilize an excess charge, such
as areas of increased proton density or significantly flexible water
interactions, could help provide new targets for drugs to act as hydronium
mimics.
Pore Shape and Stability Near Ser31 Are Ideal for Adamantane
Binding
Another hypothesis about the adamantyl amine class
of inhibitors is that adamantane is effectively spherical and can
freely rotate within the channel, but has no rotatable bonds, which
minimizes the entropy lost upon binding. This rapid rotation can be
seen on the NMR time scale[81] and is consistent
with the recent Thomaston et al. crystallographic studies, in which
the motion was indirectly inferred. Nevertheless, its significance
depends on the dynamic nature of the channel: if the protein exhibits
great structural fluctuations in the region where the drug binds,
then drug binding may induce changes that greatly decrease the entropy
and this hypothesis would not fully explain the drugs’ efficacy.
To better understand how the channel’s natural dynamics may
lend itself to favorable drug binding, we examined the pore shape
throughout our trajectories. As an estimate of the asymmetry of the
channel, we calculated the eccentricity, which is essentially a measure
of how “circular” a given oval is. The eccentricity
is defined aswhere a and b are the semimajor and semiminor
axes, respectively, which we approximate
by the distance between α-carbons on opposing helices. A schematic
of this is shown in SI Figure 1. Eccentricity
can have values between 0 and 1, with 0 indicating a circle and 1
indicating a parabola.These results are shown in Figure . Eccentricity maximum, minimum,
and root-mean-square-deviation (RMSD) values are calculated in SI Table 1. The pore-lining residues in the bottom
half of the channel, Gly34, His37, and Trp41, all show a greater degree
of asymmetry and a wider range of eccentricity values, dependent on
the excess proton position, than the pore-lining residues in the top
part of the channel. Interestingly, the proton entry at CEC = −17 Å has a pronounced effect on the
channel near Trp41, greater than that when the proton nears the center
of the channel. Ser31, however, has overall the smallest average eccentricity
and the lowest minimum value than the other pore-lining residues during
PT in this portion of the channel. Additionally, Ser31 and Val27 have
smaller proton position dependent changes in eccentricity than the
pore-lining residues in the bottom half of the channel. This result
indicates that the Ser31 region is the most symmetrical and stable
in the channel.
Figure 5
Average and standard deviation of the pore eccentricity
estimated
by α-carbon distances of pore-lining residues as a function
of the hydrated excess proton CEC position.
Average and standard deviation of the pore eccentricity
estimated
by α-carbon distances of pore-lining residues as a function
of the hydrated excess proton CEC position.While analyzing the α-carbon distances and eccentricity,
we also examined the correlation between these α-carbon distances
on opposing helices, shown in Figure , to gain further insight into protein motion and conformational
fluctuations on the nanosecond time scale. These motions captured
here are equilibrium fluctuations in the +0, Inwardclosed state, not necessarily motions driving the transition between Inwardopen and Inwardclosed. The calculated correlations
indicate that the channel’s equilibrium structural fluctuations
are dominated by alternating inward–outward motions of opposing
helices. At each pore-lining residue, the distances are negatively
correlated: that is, when helices A and C move farther apart, helices
B and D move closer together, and vice versa.
Figure 6
Pearson correlation coefficients
of the distances between α-carbons
on opposing helices, for all pore-lining residues, when excess proton
CEC = −18.0 Å. Each row and
column correspond to a specific residue and distance, as labeled,
where “A–C” is the distance between the α-carbons
of helices 1 and 3 and “B–D” is that of helices
2 and 4. Only those values with a p-value of <0.05
are shown; any other values are set to 0.0.
Pearson correlation coefficients
of the distances between α-carbons
on opposing helices, for all pore-lining residues, when excess proton
CEC = −18.0 Å. Each row and
column correspond to a specific residue and distance, as labeled,
where “A–C” is the distance between the α-carbons
of helices 1 and 3 and “B–D” is that of helices
2 and 4. Only those values with a p-value of <0.05
are shown; any other values are set to 0.0.Gly34 is known to be the hinge point whose kinking controls the
large structural change between inward-open and inward-closed conformations,
which may falsely lead to the conclusion that the conformational fluctuations
at equilibrium above and below Gly34 are decorrelated, with a stable
core centered at Gly34. Interestingly, however, the motions at Gly34
are strongly and similarly correlated with the motions at both Ser31
and His37. This correlation indicates that, in this fixed charge state,
the Gly34 kink is relatively rigid. Instead, there is a noticeable
lack of correlation between Val27 and the other pore-lining residues,
suggesting that there is a secondary, minor “hinge”
between Val27 and Ser31 that decorrelates the inward–outward
motions between the helices above and below this point. This natural
hinge observed near Val27 furthers our understanding of Val27 acting
as a secondary gate that opens to allow proton and water entry into
the channel.[82,83] In our simulations, this valve
can readily hydrate, particularly in the presence of a nearby excess
proton. Moreover, it is frequently closed, which may make passage
of a hydrated sodium or chloride ion more difficult. This aspect of
the Val27 gate and its relevance for PT and proton selectivity is
likely an important feature of the M2 channel and could be further
explored in future work.Given that the adamantane group of
the drug is centered in the
Ser31 tetrad plane, we hypothesize that these facets of the channel’s
dynamics are critical for fully explaining the drugs’ favorable
binding. Because of the more circular shape of the pore at the Ser31
tetrad, the spherical adamantane group can fit snugly under the hydrophobic
Val27 cleft and block PT. Additionally, the relative stability of
the pore in the region of drug binding helps explain why drug binding
is thermodynamically favorable. Because the channel exhibits smaller
structural fluctuations here than in other regions of the channel,
the adamantane-based drugs are able to bind with minimal loss of entropy
as the channel does not need to lose flexibility to create a stable
drug-binding interface. This has important implications for designing
drugs that use scaffolds different from the adamantane group[39,84−89] or that interact with drug-resistant mutants such as S31N. While
drug binding to more flexible regions of the channel is possible,
only modest changes in potency are often observed despite large changes
in the size of the drugs. This is likely because of the need to counter
the greater loss of entropy resultant from structural changes and
reduced fluctuations.One limitation of this study, however,
is the homogeneous POPC
bilayer, which is commonly used in experiments and is standard in
computational studies but does not capture the complexity of the viral
membrane and may influence channel dynamics.[90] Thus, these features need to be examined in the more complex membrane
to fully understand their physiological relevance.
Conclusions
Altogether, we have shown how the adamantyl amine inhibitors of
M2 are suited to exploit various inherent features of the M2 channel
that naturally facilitate proton transport, further supporting the
claim that they function as mechanism-based inhibitors. The flexible
hydrogen bond interactions, measured in both hydrogen bond occupancy
and residence times, indicate how the channel is suited to stabilizing
an excess charge near AmmN. Thus, the
ammonium group of these inhibitors can act as a hydronium mimic by
binding in this region. We also analyzed the pore shape throughout
the channel by calculating the eccentricity of the pore based on α-carbon
distances. The results from these calculations indicate that the drug
binding pocket is an especially stable and symmetrical portion of
the channel, conducive to binding a roughly spherical drug. Finally,
by examining the correlations between these distances, we found an
additional minor hinge point toward the top of the channel which may
be a relevant feature for future drug design efforts.Understanding
these features as they relate to drug binding gives
further insight into the specific interactions that stabilize the
adamantyl amine inhibitors in wild-type M2, and these results suggests
that this approach could be used to aid future drug-design efforts
to methodically create new inhibitors for S31N mutants. With the recent
publication of high resolution influenza B M2 (BM2) structures,[91] it is possible to conduct similar studies to
elucidate the detailed PT mechanism in BM2 to guide drug design in
this functionally similar protein.This work also shows how
similar analyses to understand the details
of explicit proton transport mechanisms (not those inferred by water
structures alone) could be used in other systems and extended to ion
transporters such as the SARS-CoV-2 viroporins, to help inform mechanism-based
inhibitor design. Elucidating the inherent features of drug-targetable
proton transporters, such as flexible water and hydrogen bonding interactions,
preferred proton positions, dynamic pore shapes, and structural fluctuations,
can help guide the design of drug scaffolds and added substituents.
The MS-RMD simulation methodology utilized in this work has made these
studies possible both for M2 and for other important drug targets.
Authors: María D Duque; Chunlong Ma; Eva Torres; Jun Wang; Lieve Naesens; Jordi Juárez-Jiménez; Pelayo Camps; F Javier Luque; William F DeGrado; Robert A Lamb; Lawrence H Pinto; Santiago Vázquez Journal: J Med Chem Date: 2011-04-05 Impact factor: 7.446
Authors: Jessica L Thomaston; Nicholas F Polizzi; Athina Konstantinidi; Jun Wang; Antonios Kolocouris; William F DeGrado Journal: J Am Chem Soc Date: 2018-09-12 Impact factor: 15.419
Authors: Julia A Townsend; Henry M Sanders; Amber D Rolland; Chad K Park; Nancy C Horton; James S Prell; Jun Wang; Michael T Marty Journal: Anal Chem Date: 2021-11-23 Impact factor: 6.986
Authors: Huong T Kratochvil; Robert W Newberry; Bruk Mensa; Marco Mravic; William F DeGrado Journal: Faraday Discuss Date: 2021-12-24 Impact factor: 4.394