Allyn R Brice1, Themis Lazaridis. 1. Department of Chemistry, City College of New York , 160 Convent Avenue, New York, New York 10031, United States.
Abstract
The conserved N-terminal residues of the HA2 subunit of influenza hemagglutinin (fusion peptide) are essential for membrane fusion and viral entry. Recent NMR studies showed that the 23-residue fusion peptide forms a helical hairpin that undergoes rocking motion relative to the membrane surface on a nanosecond time scale. To compare with NMR and to obtain a detailed molecular picture of the peptide-membrane interaction, we performed molecular dynamics simulations of the fusion peptide in explicit dimyristoylphosphatidylcholine and with the IMM1 implicit membrane model. To account for low and neutral pH conditions, simulations were performed with acidic groups (E11 and D19) protonated and unprotonated, respectively. The hairpin structure was stable in the simulations, with the N-terminal helix buried more deeply into the hydrophobic membrane interior than the C-terminal helix. Interactions between the tryptophans in the fusion peptide and phospholipid residues contribute to peptide orientation. Higher flexibility of the hairpin was observed in the implicit membrane simulations. Internal correlation functions of backbone N-H vectors were fit to the extended Lipari-Szabo model-free approach to obtain order parameters and correlation times. Good agreement with the NMR results was obtained for orientational fluctuations around the hairpin axis (rotation), but those around the perpendicular axis (tilting) were more limited in the simulations than inferred from the NMR experiments.
The conserved N-terminal residues of the HA2 subunit of influenza hemagglutinin (fusion peptide) are essential for membrane fusion and viral entry. Recent NMR studies showed that the 23-residue fusion peptide forms a helical hairpin that undergoes rocking motion relative to the membrane surface on a nanosecond time scale. To compare with NMR and to obtain a detailed molecular picture of the peptide-membrane interaction, we performed molecular dynamics simulations of the fusion peptide in explicit dimyristoylphosphatidylcholine and with the IMM1 implicit membrane model. To account for low and neutral pH conditions, simulations were performed with acidic groups (E11 and D19) protonated and unprotonated, respectively. The hairpin structure was stable in the simulations, with the N-terminal helix buried more deeply into the hydrophobic membrane interior than the C-terminal helix. Interactions between the tryptophans in the fusion peptide and phospholipid residues contribute to peptide orientation. Higher flexibility of the hairpin was observed in the implicit membrane simulations. Internal correlation functions of backbone N-H vectors were fit to the extended Lipari-Szabo model-free approach to obtain order parameters and correlation times. Good agreement with the NMR results was obtained for orientational fluctuations around the hairpin axis (rotation), but those around the perpendicular axis (tilting) were more limited in the simulations than inferred from the NMR experiments.
Enveloped virus infection
occurs by formation of a channel between
the host cell cytoplasm and a virus particle, allowing the release
of viral nucleocapsid. Some viruses fuse directly with the host
cell membrane, while others, such as influenza A, enter the cell via
endocytosis and fuse with the endosome membrane.[1−3] The membrane
fusion process is facilitated by glycoproteins embedded in the
viral envelope. The fusion protein of the influenza virus is hemagglutinin
(HA), composed of two polypeptide chains, HA1 and HA2.[4,5] HA1 recognizes and binds sialic acid at the host cell membrane,
leading to endocytosis, while HA2 facilitates the fusion between the
viral and host cell membranes. A decrease in pH within the endosome
induces a conformational change in HA, which initiates the fusion
process. X-ray crystallography has provided structures of the entire
HA ectodomain at neutral pH[6] and fragments
of the HA2 subunit at acidic pH.[7,8] However, only models
are available for the structure of the complete protein at low pH.[9]The first 23 residues at the N-terminus
of HA2, commonly referred
to as the fusion peptide (HAFP), are highly conserved across the 16
subtypes of influenza A virus.[10] Many mutations
in this region have been found to abolish or impair fusion activity.[11,12] Connections between fusion activity and structure have been mainly
explored for the first 20 residues of HAFP (HAFP20). This peptide
has been found to be fusogenic toward synthetic vesicles.[13−15] A combined NMR and EPR study reported that the wild-type HAFP20
adopts a kinked, V-shape structure pointing the two termini toward
the membrane.[16] It was shown that several
point mutations of the subtype H3 sequence of HAFP20 that caused loss
of fusogenicity also distorted the V-shape structure.[17,18] A solid-state NMR study also supported the V-shape conformation.[19]The V-shape NMR structure of the HAFP20
peptide has been the subject
of numerous computational studies. Early explicit membrane molecular
dynamics (MD) simulations reported that the inverted V-shape structure
and orientation were stable for the wild type of HAFP20.[20,21] Other simulations of wild-type HAFP20 and several point mutants
similarly displayed an inverted V-shape structure for the wild-type
sequence but a noninserted and/or linear helix conformation for the
inactive mutants.[22,23] In contrast, implicit membrane
simulations found that the inverted V-shape structure is not stable
in the membrane and converts to a straight helix, slightly tilted
with respect to the membrane,[24] not very
different from an earlier Poisson–Boltzmann prediction.[25] Another implicit membrane study with more extensive
conformational sampling found a significant population of kinked conformations
but parallel to the membrane surface.[26] More recent, longer time scale explicit simulations showed that
the HAFP20 actually favors a linear α-helix structure over the
inverted V shape.[27] A tendency to lose
the kink had already been noted in earlier work.[28] A coarse-grained model found that the V-shaped HAFP promotes
positive bilayer curvature,[29] while a very
long atomistic simulation study found that the V-shaped HAFP causes
more lipid protrusion, which is thought to facilitate fusion.[30]Intriguingly, recent NMR work showed that
a HAFP peptide that includes
the first 23 amino acids adopts a helical hairpin conformation in
DPC micelles.[31] The structure is stabilized
by four CαH–O backbone hydrogen bonds and a favorable
interaction of the N-terminal charge with the dipole of the C-terminal
helix.[32] NOE measurements suggested an
interfacial location of the hairpin structure with respect to the
lipid surface. NMR relaxation experiments on bicelles revealed wobbling
motions of the hairpin with respect to the membrane surface with 2.4–5.1
ns correlation times.[33] Lowering the pH
from 7 to 4 disrupted the hairpin structure, allowing fluctuation
between closed hairpin and open L-shape and extended structures.[34] The same authors further showed that hairpin
stability is dependent on the length of the peptide, with HAFP20 being
mostly open.[35] These results raise interesting
physical and biological questions: What is the source of stability
of the helical hairpin? Why does low pH destabilize the hairpin? Why
does the peptide form an intramolecular hairpin instead of an antiparallel
dimer? Is the hairpin crucial for the fusion mechanism or circumstantial?
Why would formation of the hairpin be crucial if the hairpin eventually
needs to open up?These questions warrant further theoretical
studies. Here, we performed
200-ns explicit MD simulations to investigate the structure and orientation
of HAFP23 on a dimyristoylphosphatidylcholine
(DMPC) bilayer surface. In addition to the explicit simulations, we
also performed simulations with the IMM1 implicit membrane model.[36] The goal of these simulations was to obtain
a molecular picture that would complement the NMR results and a direct
comparison of the parameters calculated by the two methods. Computation
of NMR parameters from MD simulations has a long history,[37−41] but to our knowledge, all previous studies concern soluble proteins.
Lorieau and Bax were the first to extract parameters for the motion
of a membrane-bound peptide relative to the membrane plane. The nanosecond
time scales involved make this an ideal system for comparison with
MD simulations.
Methods
Starting Structures
Starting coordinates for the HAFP
hairpin were taken from the NMR structure[31] (PDB code 2KXA). The HA N-terminal peptide sequence of H1 subtype influenza A includes
the following 23 amino acids: GLFGAI AGFIEG GWTGMI DGWYG. In the NMR
work,[31] a charged C-terminal tag was used
to prevent aggregation. The authors found that the presence of the
tag did not affect the structure and dynamics of the peptide (Ad Bax,
personal communication); therefore, the tag was omitted in the work
reported here. Implicit membrane simulations with the tag did not
display large effects on hairpin structure (Supporting
Information Figure S4). In order to study the peptide under
low and neutral pH conditions, simulations were performed with acidic
groups (E11 and D19) protonated and unprotonated, respectively. Although
these residues may not be fully protonated at the pH of the endosome
(∼5), simulating them as protonated ensures that we will observe
the maximum possible effect. N- and C-terminal residues were charged
in all simulations. The initial membrane depth (average distance from
the membrane center) was determined to be 13 Å based on implicit
membrane IMM1[36] simulations. The starting
orientations on the membrane surface were similarly determined with
IMM1 simulations. To confirm that the explicit MD simulations were
unaffected by starting coordinates, initial orientations with the
hairpin perfectly parallel to the membrane surface (also at 13 Å
depth) were also constructed. These initial orientations are characterized
by rotation angles around the x axis equal to 20
and 0° (see Figure 1). We refer to the
former simulations as R20 and to the latter as R0.
Figure 1
(a) Initial structures
of explicit DMPC membrane systems with rotation
angles of 20° (left) and 0° (right). Hydrophobic groups
are highlighted in yellow and hydrophilic groups in red. Nitrogen
and phosphorus atoms of the DMPC headgroups are illustrated as blue
and tan spheres, respectively, while lipid tails are cyan and water
molecules are gray. (b) Illustration of the coordinate system used
to describe hairpin motions.
(a) Initial structures
of explicit DMPC membrane systems with rotation
angles of 20° (left) and 0° (right). Hydrophobic groups
are highlighted in yellow and hydrophilic groups in red. Nitrogen
and phosphorus atoms of the DMPC headgroups are illustrated as blue
and tan spheres, respectively, while lipid tails are cyan and water
molecules are gray. (b) Illustration of the coordinate system used
to describe hairpin motions.
Explicit Membrane Simulations
Explicit membrane simulations
of the HAFP hairpin were performed with the NAMD package[42] and the CHARMM27 force field.[43] Explicit membrane systems were generated with CHARMM-GUI[44,45] and then equilibrated. They included 140 pre-equilibrated explicit
DMPClipids, hydrated with 5920 TIP3P water molecules[46] for a total of ∼33 500 atoms in a 65 Å
× 65 Å × 75 Å cell. The HAFP peptide was inserted
at the specified depth (z = 13 Å) and orientation.
Lipid molecules overlapping with the peptide were removed (6 lipids
for the 20° orientation, 9 lipids for the 0° orientation)
using VMD.[47] Periodic boundary conditions
with particle mesh Ewald[48] were applied
to account for long-distance electrostatic interactions. Structures
were initially minimized with the ABNR algorithm for 5000 steps to
remove any atomic clashes. SHAKE was used to constrain all bonds involving
hydrogen. A cutoff of 12 Å was used for the van der Waals and
electrostatic interactions. The membrane–peptide system was
equilibrated at 300 K with a 1 fs time step. Harmonic positional restraints
with a force constant of 5.0 kcal/mol were applied to the HAFP and
gradually removed over the first 25 ps of equilibration. The simulation
was then continued for 200 ns. Nosé–Hoover constant
pressure (1 bar) and Langevin constant temperature methods with 1
ps–1 friction coefficient were used to create an
isothermal–isobaric ensemble (NPT).[42]
Implicit Membrane Simulations
The implicit model IMM1
was used,[36] which is an extension of the
EEF1[49] model for aqueous proteins. IMM1
represents lipid bilayers as a hydrophobic region centered at z = 0 Å with a specific thickness (T). Here, the value T = 25 Å was used in all
implicit membrane simulations. Hairpin structures were simulated with
MD in the implicit model. Structures were initially minimized with
the ABNR algorithm for 300 steps, and SHAKE was employed to constrain
all bonds involving hydrogen. A cutoff of 9 Å was used for the
nonbonded interactions. Following minimization, the system was heated
from 200 to 300 K, at a rate of 1 K/ps. MD simulations used the Leap
Frog Verlet integrator and a time step of 1 fs. Equilibration lasted
for 2 ns, and the trajectory over the last 100 ns was used for analysis.
Analysis
The stability of the hairpin during the MD
trajectories was assessed through root mean square deviation (rmsd)
calculations using the NMR structure as a reference. Rotation angles,
as defined in Figure 1b, about the x axis (rotation) and y axis (tilt) as
a function of time were calculated along the trajectories. Angles
were calculated every 10 ps over the last 50 ns of the 200 ns trajectories.
Statistical errors were also calculated over the last 50 ns. The peptide
backbone amide bond at residue 13 was used to calculate the rotation
angle. The tilt angle was averaged over residues with amide bonds
parallel to the N-terminal and C-terminal helix (3 to 10 and 15 to
22).NMR relaxation rates, order parameters, and correlation
times were calculated as follows. Correlation functions, C(t), for the backbone amide bond vectors contain
two contributions (eq 1): one from tumbling
of the entire protein, C(t)o, and another from internal conformational fluctuations, C(t)I:where P2 is the
second Legendre polynomial (P2(x) = (3x2 – 1)/2), μ(t) is an amide bond vector
at time t, and τM is the rotational
correlation time. Autocorrelation functions out to 15 ns were calculated
over the second half of the 200 ns simulation (the curves become noisy
after 15–20 ns). Lorieau et al.[33] fitted experimental relaxation data to both the standard and extended
Lipari–Szabo (LS) models and determined that the extended LS
approach is more applicable to the HAFP hairpin residues. Thus, the
extended LS model-free method was also used in the current study:where τf and τs are the correlation
times for fast and slow internal vector
motions, respectively. It is generally assumed that tumbling motions
and internal motions can be separately calculated when the time scales
greatly differ.[50] To specifically calculate
internal correlation functions, tumbling motions (C(t)o) are typically removed by translating
and orienting the molecule of interest onto a reference structure.[40,51] However, since in the current simulations the system cannot tumble,
this is not necessary. The NMR module in CHARMM[51] was used to obtain relaxation rates, order parameters,
and correlation times. Order parameters and correlation times were
also obtained by fitting the correlation functions to the extended
LS model using MATLAB. The resulting values differed somewhat from
those obtained by the NMR module of CHARMM and exhibited less variability
among the different simulations. Thus, for S2 and τ, we report the values obtained using MATLAB.
Results
Configurations Observed in the Explicit MD Simulations
The stability of the HAFP23 hairpin during the simulations was assessed
by calculating the rmsd with respect to the initial NMR structure.
Figure 2 shows that, regardless of starting
orientation or pH, the backbone rmsd remained close to 1 Å; that
is, limited conformational changes occurred during 200 ns of explicit
membrane simulation. Trajectories at neutral pH (Figure 2B,D) yielded a slightly lower rmsd than the low pH trajectories,
which is not surprising since the NMR experiments[31] were performed at pH 7.4. However, we did not observe any
tendency for opening of the hairpin at low pH,[34] probably due to the limited duration of the simulation
(see Discussion).
Figure 2
Root mean square deviations
from the NMR structure for backbone
atoms over MD trajectories in explicit DMPC membrane starting from
rotation angles of 20° (top graphs) and 0° (bottom graphs).
The low pH systems are shown in A and C, while neutral pH systems
are shown in B and D.
Root mean square deviations
from the NMR structure for backbone
atoms over MD trajectories in explicit DMPC membrane starting from
rotation angles of 20° (top graphs) and 0° (bottom graphs).
The low pH systems are shown in A and C, while neutral pH systems
are shown in B and D.Figure 3 displays snapshots taken
from the
200 ns trajectories. The snapshots at 0 ns represent the starting
structures R0 and R20. Regardless of starting orientation, the final
conformation and orientation are very similar, with the N-terminal
helix (residues 1–11) more deeply buried into the nonpolar
lipid interior, while the C-terminal helix is more exposed to headgroups
and water. Previous explicit membrane studies on the HAFP20 straight
helix and the kinked conformations have also demonstrated a more deeply
inserted N-terminal end.[22,23,27] Despite the deeper burial of the N-terminal helix, the N-terminus
is solvent accessible; several water molecules penetrate the membrane
interface and interact with it, consistent with the observed high
water exchange rates (Figure 3C of ref (31)).
Figure 3
Snapshots of HAFP hairpin from the 200 ns MD
simulations on DMPC
bilayer for starting orientations with rotation angle 20° (A,B)
and 0° (C,D) at neutral pH (A,C) and low pH (B,D). Hydrophobic
residues are highlighted in yellow and hydrophilic residues in red.
The acidic groups (E11 and D19) are also illustrated. Tan spheres
are phosphorus, and blue are nitrogen.
Snapshots of HAFP hairpin from the 200 ns MD
simulations on DMPC
bilayer for starting orientations with rotation angle 20° (A,B)
and 0° (C,D) at neutral pH (A,C) and low pH (B,D). Hydrophobic
residues are highlighted in yellow and hydrophilic residues in red.
The acidic groups (E11 and D19) are also illustrated. Tan spheres
are phosphorus, and blue are nitrogen.The average orientation of the hairpin is influenced by pH.
Structures
at neutral pH (Figure 3A,C) display greater
rotation than structures at lower pH (Figure 3B,D). This is not surprising since the unprotonated acidic residues
E11 and D19 at neutral pH experience repulsive interactions with the
negatively charged phosphate groups and are more likely to form hydrogen
bonds with water molecules, forcing a larger exposure of the C-terminal
helix. Figure S1 (zoomed-in images) reveals interactions between protonated
acidic residues at low pH with phosphate headgroups, stabilizing the
hairpin just below the membrane surface. These differences in the
interactions of protonated and unprotonated residues with their surroundings
cause the C-terminal helix to insert more deeply at low pH, lowering
the rotation angle. Similarly, previous studies have demonstrated
that the HAFP structure is unaffected by changes in pH, while lower
pH conditions allow HAFP to insert more deeply into the lipid bilayer.[24,26,52]Rotation angles calculated
over the trajectories support these
qualitative observations (Figure 4). Final
rotation angles of the R20 simulations at low pH (23.4°) were
much lower than at neutral pH (48.3°). The same effect was observed
in R0 simulations, with final rotation angles of 10.5 and 48.7°
for low and neutral pH trajectories, respectively. Average values
shown in Figure 4 confirm that the hairpin
structure is more rotated under neutral pH conditions. To quantify
the orientational fluctuations, standard deviations of rotation and
tilt angles were also computed from the MD trajectories (Figure 4). Rotation angle fluctuations are larger than tilt
angle fluctuations and similar regardless of initial structure. Tilt
angle fluctuations were somewhat larger in the R0 simulation.
Figure 4
Analysis of
hairpin orientation with respect to the membrane. The
angles between N–H bonds and the z axis were
calculated over 200 ns MD trajectories. Rotation angles about the x axis are displayed in A–D and tilt angles about
the y axis in E–H. Results from R20 simulations
are shown in (A) low pH, (B) neutral pH, (E) low pH, and (F) neutral
pH. Results from R0 simulations are shown in (C) low pH, (D) neutral
pH, (G) low pH, and (H) neutral pH.
Analysis of
hairpin orientation with respect to the membrane. The
angles between N–H bonds and the z axis were
calculated over 200 ns MD trajectories. Rotation angles about the x axis are displayed in A–D and tilt angles about
the y axis in E–H. Results from R20 simulations
are shown in (A) low pH, (B) neutral pH, (E) low pH, and (F) neutral
pH. Results from R0 simulations are shown in (C) low pH, (D) neutral
pH, (G) low pH, and (H) neutral pH.Membrane insertion depth (Figure 5) was
calculated over the explicit and implicit simulations as the difference
between the Cα of each residue in HAFP and the center of the
membrane. Implicit membrane simulations show the same pattern, but
residue depths are smaller. This is partly due to the value of hydrophobic
membrane thickness used in the implicit simulations (25 Å), which
is somewhat higher than the experimental thickness of DMPC bilayers
(22.3[53] or 23.0 Å[54]). However, this accounts for only a small part of the discrepancy;
the peptide does insert more deeply in the explicit simulations. Lowering
the pH causes only a slightly deeper insertion of the C-terminal region
in the explicit simulations.
Figure 5
Membrane insertion depth (distance from membrane
center) per residue
calculated over implicit and explicit membrane simulations. Depths
for explicit simulations (blue and black) were calculated by subtracting
the average z-coordinate of each residue Cα
from the average z-coordinate of lipid tail C13 and
C14 atoms. Membranes are centered at the origin in implicit simulations;
therefore, the average z-coordinate of each Cα
is reported.
Membrane insertion depth (distance from membrane
center) per residue
calculated over implicit and explicit membrane simulations. Depths
for explicit simulations (blue and black) were calculated by subtracting
the average z-coordinate of each residue Cα
from the average z-coordinate of lipid tail C13 and
C14 atoms. Membranes are centered at the origin in implicit simulations;
therefore, the average z-coordinate of each Cα
is reported.Lorieau et al. proposed
that the hairpin structure is stabilized
by interhelical CαH–O H bonds and an interaction between
the charged N-terminal G1 with C-terminal backbone carbonyls.[31,32] We calculated interaction energies over the last 50 ns of the explicit
MD trajectories. The N-terminal and C-terminal helices were represented
by residues 2–10 and 14–23, respectively. The average
interhelical interaction energy was approximately −36 kcal/mol,
of which about −11 kcal/mol is contributed by 8 CαH–OC
hydrogen bonds (see Table S1 in Supporting Information). The average interaction energy between G1 and carbonyls of residues
20–23 was approximately −124 kcal/mol. These energies
are highly favorable but do not include the desolvation energy, which
is typically anticorrelated with Coulombic energy. The same interactions
using IMM1 on the NMR structure, including desolvation energy, are
more modest: −21 kcal/mol for the interhelical interaction
and −12 kcal/mol for the G1 to 20–23 interaction. These
calculations confirm the importance of the proposed favorable interactions.Using the IMM1 membrane
model, membrane binding energies were calculated at various rotated
states of the hairpin to determine the most favorable orientation.
The NMR hairpin structure was placed at the membrane interface (z = 13 Å) and was rigidly rotated around the x axis in increments of 1° from 0 to 90°. For
each configuration, the transfer energy from the membrane to bulk
water was calculated. The negatives of these values are plotted in
Figure 6 (negative values mean favorable membrane
binding). Similar to the explicit DMPC simulations, these calculations
show that hairpin structure favors a rotated rather than parallel
orientation. The binding energy is most favorable at 31° rotation
angle for both low and neutral pH simulations. This energy value (−7
kcal/mol) compares well to previous experimental[17] (−7.2 kcal/mol) and theoretical[25] (−8 to −10 kcal/mol) studies.
Figure 6
Water to membrane transfer
energies calculated at rotation angles
0 to 90° at intervals of 1° at low (red) and neutral (black)
pH.
Water to membrane transfer
energies calculated at rotation angles
0 to 90° at intervals of 1° at low (red) and neutral (black)
pH.MD simulations of the HAFP23 hairpin
structure using the IMM1 implicit
membrane offer the opportunity of more extensive sampling of the conformations
of the peptide without friction from explicit lipid and solvent molecules.
Similar to the explicit DMPC simulations, IMM1 simulations demonstrate
significant rotation burying the N-terminal helix (residues 1–11)
into the nonpolar lipid interior more than the C-terminal helix (Figure 7F). The rotation angle exhibits a broad distribution,
with a peak at about 45° (Figure 7E).
Figure 7A,B shows the backbone rmsd over 100
ns of IMM1 MD simulations of the hairpin under low and neutral pH
conditions. The deviations from the NMR structure observed here are
significantly higher than in the explicit simulations, reaching over
5 Å. A sample structure of the hairpin at these higher rms deviations
is shown in Figure 7D, featuring a strong interaction
between D19 and G1, which distorts the hairpin. This interaction is
more likely to be observed at low pH (Figure 7A), probably because the smaller desolvation cost of Asp at low pH
allows it to be buried more deeply in the membrane. In both trajectories,
the hairpin returns occasionally to the NMR structure. The strength
of the D19–G1 interaction apparently is overestimated by the
implicit model. The lack of direct interactions with solvent or membrane
atoms can influence thermodynamic ensembles generated from implicit
models.[55]
Figure 7
IMM1 trajectory analysis. Root mean square
deviations from the
NMR structure over MD trajectories for backbone atoms in the HAFP
hairpin. MD trajectories were simulated for 100 ns using the IMM1
implicit membrane with (A) protonated Glu/Asp and (B) unprotonated
Glu/Asp. Hairpin structures resulting from (C) a 200 ns explicit simulation
and (D) a 100 ns implicit simulation are displayed with acidic residues,
tryptophan, and G1 residues highlighted. (E) Population of rotation
angle values sampled over the low pH simulation. (F) Hairpin structure
shown with relative membrane depth values (z axis).
IMM1 trajectory analysis. Root mean square
deviations from the
NMR structure over MD trajectories for backbone atoms in the HAFP
hairpin. MD trajectories were simulated for 100 ns using the IMM1
implicit membrane with (A) protonated Glu/Asp and (B) unprotonated
Glu/Asp. Hairpin structures resulting from (C) a 200 ns explicit simulation
and (D) a 100 ns implicit simulation are displayed with acidic residues,
tryptophan, and G1 residues highlighted. (E) Population of rotation
angle values sampled over the low pH simulation. (F) Hairpin structure
shown with relative membrane depth values (z axis).To test the effect of peptide
length on structure, 20 ns IMM1 simulations
were performed of 20- and 23-residue peptides starting from either
a linear helix or a hairpin. The final structures of these simulations
are displayed in Figure S2. Starting from a linear helix, the HAFP20
remains a linear helix but HAFP23 changes to a structure reminiscent
of the hairpin. Starting from the hairpin, the HAFP23 remains a hairpin
but HAFP20 is much less stable. These results agree with the recent
experimental finding that 23 residues are necessary to form a stable
hairpin structure.[35]
Calculation
of NMR Parameters
Lorieau et al.[32] used 15N NMR relaxation in bicelles
of different sizes to extract order parameters (S2), internal correlation times (τ), and relaxation
rates (R1 and R2) for motion of HAFP23 with respect to the membrane. They found a
rocking motion along the x and y axes with correlation times of 2.4 to 5.1 ns. Here, internal correlation
functions (eq 3) of amide bond motion were obtained
from the MD trajectories and were used to calculate the same NMR parameters.
Order parameters (S2) were obtained from
the plateau values, C(∞), of the autocorrelation
functions and the correlation times from fitting these functions to
the extended LS model (eq 4).Table 1 compares NMR parameters obtained from the MD simulations
to those obtained experimentally. Order parameters range from 0 to
1; a value of 1 corresponds to no internal motion, and a value of
0 indicates unrestrained motion. The S2 values calculated for rotation motions (around the x axis) are all similar (1–6% error) to those measured by NMR.
However, S2 values calculated for tilting
motions are significantly higher (20–25% error) than the NMR
values. In our simulations of HAFP23, there is more rotation than
tilting, as can also be observed in the orientation analysis (Figures 3 and 4), whereas the opposite
is inferred from the NMR experiments. Correlation times generated
from our MD simulations are of the same order of magnitude as the
experimental results for both x and y axis rotations. Order parameters calculated from the IMM1 simulations
are similar to explicit simulation values for tilting but lower for
rotation. The correlation times are of similar order of magnitude.
Figure 8 shows correlation functions for rotation
around the x axis from the explicit simulations.
The curves for the R0 simulations are not completely flat by 15 ns,
likely because these simulations started at an orientation far from
optimal.
Table 1
NMR Parameters from MD Trajectories
x axis
y axis
S2
τ (ns)
R2 (s–1)
R1 (s–1)
S2
τ
(ns)
R2 (s–1)
R1 (s–1)
NAMD R20
low pH
0.88
5.83
42.98
0.26
0.89
5.66
45.78
0.25
neutral pH
0.85
2.53
43.92
0.24
0.88
4.68
45.34
0.25
NAMD R0
low pH
0.81
5.27
41.92
0.24
0.89
5.66
44.22
0.25
neutral pH
0.86
2.47
43.68
0.25
0.85
7.60
44.6
0.25
IMM1 R20
low pH
0.71
3.68
31.28
0.06
0.88
6.22
33.71
0.16
neutral pH
0.69
4.57
26.34
0.5
0.85
7.55
36.6
0.67
NMR neutral pH
0.8
2.4
48
0.74
0.71
5.1
34.5
0.8
Figure 8
Correlation functions
for rotation (x axis). The
analysis was carried out for trajectories of R20 at low pH (black)
and neutral pH (blue), R0 at low pH (red) and neutral pH (green).
Correlation functions
for rotation (x axis). The
analysis was carried out for trajectories of R20 at low pH (black)
and neutral pH (blue), R0 at low pH (red) and neutral pH (green).Table 1 includes relaxation rates calculated
over explicit and implicit MD trajectories. Calculated R2 relaxation rates from MD simulations are slightly lower
than experiment for rotation around the x axis but
significantly higher than experiment for rotation around the y axis. Like the S2 parameter,
this signifies much lower mobility for tilting than experiment suggests.
Lorieau et al. determined R1 to be approximately
0.8 for all amide bonds when the largest bicelle was used (DMPC/DHPC
ratio 0.69). The R1 values calculated
from MD simulations were significantly lower, around 0.25 for the
explicit simulations. R1 rates are more
difficult to interpret in terms of motion.
Atomic Contacts and NOE
Intensities
In the NMR experiments,
NOE measurements were used to estimate intermolecular distances for
interhelical interactions (CαH–O) as well as peptide–lipid
interactions in DPC micelles[31] and DMPC
bicelles.[32] These NOE measurements detected
contacts between HAFP backbone amide protons and lipid tail protons.
Greater intensities with the lipid tail groups of the DPC micelles
were observed for backbone amide protons from the N-terminal helix
than the C-terminal helix (Figure S5 of ref (31)), which indicates that
the N-terminal helix is more inserted in the micelle than the C-terminal
helix, consistent with the simulation results. A more detailed comparison
can be made between the computational and experimental results in
bicelles.[32] Interactions between backbone
amides of the peptide and hydrophobic tails of the phospholipid molecules
were determined over the 200 ns simulations. An approximate estimation
was performed for comparison with NMR NOE calculations by counting
the number of atoms within 5 Å of backbone amidehydrogens over
the last 50 ns of the 200 ns R20 simulations. Calculations are presented
for low (black bars) and neutral pH (red bars) simulations (Figure 9A). The atomic contact count reflects the deeper
insertion of the hydrophobic N-terminal helix, in agreement with Figure 3. These contact counts correlate to some extent
with NOE intensities from NMR measurements of HAFP23 on DMPC bicelles
at neutral pH (Figure 9B).[32] NOE measurements show that the N-terminal helix exhibits
stronger NOE intensities than the C-terminal helix, although the differences
seem smaller than those in the contact counts obtained in the simulation.
Figure 9
Interactions
between peptide and lipid atoms. (A) Number of atomic
contacts between peptide backbone hydrogens and lipid tail hydrogens
within 5 Å at low (black) and neutral (red) pH in the simulations.
(B) Experimental NOE interaction intensities for the HAFP backbone
hydrogen with methylene hydrogen of the DMPC lipid tail.[32] (C) Hydrogen bonds between tryptophan indole
hydrogens and lipid headgroup carbonyl oxygens. (D) Hydrogen bonds
between tryptophan indole hydrogens and lipid headgroup phosphate
oxygens. Solid black refers to the simulations at low pH and gray
to those at neutral pH.
Interactions
between peptide and lipid atoms. (A) Number of atomic
contacts between peptide backbone hydrogens and lipid tail hydrogens
within 5 Å at low (black) and neutral (red) pH in the simulations.
(B) Experimental NOE interaction intensities for the HAFP backbone
hydrogen with methylene hydrogen of the DMPClipid tail.[32] (C) Hydrogen bonds between tryptophan indolehydrogens and lipid headgroup carbonyl oxygens. (D) Hydrogen bonds
between tryptophan indolehydrogens and lipid headgroup phosphateoxygens. Solid black refers to the simulations at low pH and gray
to those at neutral pH.It is established that TRP residues within membrane proteins
form
H bonds with polar atoms of phosphocholine headgroups, stabilizing
peptides at the water–membrane interface.[56,57] Tamm and co-workers demonstrated the significance of residue W14
in the membrane binding energies and fusogenicity of HAFP20.[18] Computational studies have shown that the W14A
mutant of HAFP20 is more flexible and more likely to vary between
a linear, kinked, and hairpin structures.[23,27] This suggests that residue W14 is significant in the structural
integrity of HAFP and specific interactions formed with the headgroup
region. In our analysis of tryptophan interactions with the membrane,
we characterized favorable interactions (hydrogen bond or Coulombic)
as the number of phosphate or carbonyl oxygen atoms in proximity of
the indole hydrogens of W14 and W21. Overall, interactions with the
carbonyl oxygens are more frequent than those with the phosphate (Figure 9C,D). In addition, the interactions with the carbonyls
increase in the low pH simulations, while those with the phosphate
decrease, consistent with a slightly deeper insertion of the C-terminal
helix in the low pH simulations (Figure 5).
Discussion
In this work, we aimed to characterize the interaction
of the hemagglutinin
fusion peptide hairpin structure with the membrane, complementing
the recent NMR work from the Bax group.[31−35] We performed both explicit and implicit membrane
molecular dynamics simulations of the 23 N-terminal residues of HA2
starting from the NMR structure[31] with
different starting orientations. Our main findings are the following:
(a) the hairpin is stable on a time scale of 200 ns, with a backbone
rmsd close to 1 Å; (b) the N-terminal helix is buried more deeply
in the membrane than the C-terminal helix; and (c) low pH (emulated
by protonating E11 and D19) leads to a less rotated structure with
deeper insertion of the C-terminal helix.To our knowledge,
this is the first study that compares simulation-derived
NMR parameters with experiment for a peptide’s movement with
respect to the membrane plane. This comparison for the HAFP hairpin
under study here is generally favorable. However, there are some discrepancies.
The values of the S2 order parameter for
motion around the x axis are quite similar to the
NMR results, but the values for motion around the y axis are significantly higher. That is, tilting motion is much more
limited in the simulations than the NMR results suggest. This could
possibly be explained if the peptide bound to the edges of the bicelle
with the y axis perpendicular to the bicelle perimeter.
However, there is no evidence to suggest that. In fact, no NOEs were
detected between the peptide and the DHPC lipids, which predominantly
occupy the bicelle edges (Figure S6 of ref (33)). It is also difficult to imagine how force
field deficiencies could be responsible for this discrepancy. Thus,
we cannot offer a specific explanation for the overestimation of the y axis S2 parameter at this
point, except to point out possible limitations of the model-free
formalism.[40] There are also some discrepancies
in the R1 relaxation rates that are difficult
to explain.Recent work showed that low pH destabilizes the
hairpin structure,
favoring more open structures.[34] Our simulations
are too short to detect a slight shift in equilibrium between closed
and open structures. The origin of destabilization of the hairpin
at low pH is not clear, but it should involve the two acidic residues
(the experimental peptide constructs include a basic sequence beyond
residue 23, which moves the C-terminus far from the hairpin structure).
A weak interaction of E11 and/or D19 with the N-terminus, as seen
in the implicit membrane simulations, could explain the destabilization
of the hairpin at low pH. Such a structure might correspond to a minor
population that does not give rise to NOEs.The role of tryptophan
in orienting proteins in membrane bilayers
has been studied extensively.[56,58,59] It is established that the W14A mutant is not fusogenic,[17] and many studies correlate this lack of function
with differences in structure between W14A and wild type.[17,18,23,27] NOE measurements detected contacts between TRP indole and choline
methyl hydrogens of the DPC micelle.[31] Due
to conservation of W14 and W21 over the influenza A hemagglutinin
subtypes, it was proposed[31] that these
TRP residues have a role in positioning the fusion peptide at the
membrane–water interface. Structures of HAFP23 generated with
the present MD simulations are shown in Figure 3, highlighting residues W14 and W21 within the lipid bilayer. The
number of contacts formed between the TRP indole hydrogen of residues
14 and 21 and H bond acceptors of the headgroup region is significant,
as shown in Figure 9C. The observed HAFP hairpin
orientation is likely to be determined in part by these interactions.The role of peptide structure in the fusion process remains unclear.
The recent NMR studies have shown that the more biologically relevant
23-residue HAFP peptide forms a hairpin. The present simulations confirm
the stability of the hairpin and add information on its orientation
with respect to the membrane. The hairpin, however, is destabilized
toward more open structures at pH values relevant to endosomes.[34] In addition, the shorter 20-residue peptides,
which adopt more extended structures[16,35] but also exhibit
a minor population of the hairpin,[35] exhibit
fusogenic activity.[13,17,18] This raises the question what is the role of the two structures
and whether it is the process of transitioning between the two that
plays a role in fusion. A convincing answer to this question is still
lacking.
Authors: Paul Maragakis; Kresten Lindorff-Larsen; Michael P Eastwood; Ron O Dror; John L Klepeis; Isaiah T Arkin; Morten Ø Jensen; Huafeng Xu; Nikola Trbovic; Richard A Friesner; Arthur G Palmer; David E Shaw Journal: J Phys Chem B Date: 2008-03-01 Impact factor: 2.991
Authors: Karen J Cross; William A Langley; Rupert J Russell; John J Skehel; David A Steinhauer Journal: Protein Pept Lett Date: 2009 Impact factor: 1.890