Paul Stevenson1,2, Christoph Götz3, Carlos R Baiz2, Jasper Akerboom, Andrei Tokmakoff2, Alipasha Vaziri3. 1. †Department of Chemistry, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, Massachusetts 02139, United States. 2. ‡Department of Chemistry, James Frank Institute, and The Institute for Biophysical Dynamics, The University of Chicago, 929 E 57th Street, Chicago, Illinois 60637, United States. 3. §Research Institute of Molecular Pathology (IMP), Dr Bohr-Gasse 7, A-1030 Wien, Austria.
Abstract
The effect of ion binding in the selectivity filter of the potassium channel KcsA is investigated by combining amide I Fourier-transform infrared spectroscopy with structure-based spectral modeling. Experimental difference IR spectra between K(+)-bound KcsA and Na(+)-bound KcsA are in good qualitative agreement with spectra modeled from structural ensembles generated from molecular dynamics simulations. The molecular origins of the vibrational modes contributing to differences in these spectra are determined not only from structural differences in the selectivity filter but also from the pore helices surrounding this region. Furthermore, the coordination of K(+) or Na(+) to carbonyls in the selectivity filter effectively decouples the vibrations of those carbonyls from the rest of the protein, creating local probes of the electrostatic environment. The results suggest that it is necessary to include the influence of the surrounding helices in discussing selectivity and transport in KcsA and, on a more general level, that IR spectroscopy offers a nonperturbative route to studying the structure and dynamics of ion channels.
The effect of ion binding in the selectivity filter of the potassium channel KcsA is investigated by combining amide I Fourier-transform infrared spectroscopy with structure-based spectral modeling. Experimental difference IR spectra between K(+)-bound KcsA and Na(+)-bound KcsA are in good qualitative agreement with spectra modeled from structural ensembles generated from molecular dynamics simulations. The molecular origins of the vibrational modes contributing to differences in these spectra are determined not only from structural differences in the selectivity filter but also from the pore helices surrounding this region. Furthermore, the coordination of K(+) or Na(+) to carbonyls in the selectivity filter effectively decouples the vibrations of those carbonyls from the rest of the protein, creating local probes of the electrostatic environment. The results suggest that it is necessary to include the influence of the surrounding helices in discussing selectivity and transport in KcsA and, on a more general level, that IR spectroscopy offers a nonperturbative route to studying the structure and dynamics of ion channels.
Over the past decades
our atomistic understanding of protein structure
and function has been revolutionized by X-ray crystallography and
NMR spectroscopy, and magnetic resonance techniques have provided
information on the time scales of protein conformational dynamics.
However, until recently, no direct experimental techniques existed
that could combine atomistic structural information with time resolution
sufficient to observe the intrinsic functional time scales of many
proteins.[1−5]Among the new approaches to studying protein conformational
dynamics,
infrared (IR) spectroscopy of amide I vibrations (the amide carbonyl
stretch between 1600 and 1700 cm–1) has seen a surge
of interest as a result of advances in 2D IR spectroscopy and structure-based
modeling, which provides an atomistic interpretation of protein IR
spectra.[6−9] Amide I vibrations are delocalized, involving the concerted vibration
of numerous coupled carbonyls of peptide units of the protein backbone.
The sensitivity of the coupling between carbonyl groups to their relative
position and orientation in space means that the amide I band is influenced
by the underlying symmetry, size, and backbone structure of the protein.
Though interpretation of protein IR spectra is often complicated by
the presence of many broad peaks in a small frequency window, a new
generation of atomistic spectral modeling that draws from molecular
dynamics (MD) simulations of the protein provides new avenues by which
to interpret these experiments.[10]In this context, the molecular origin of the observed high ion
throughput (>108 ions s–1) and highly
selective transport of K+ ions of Na+ (>1000:1)[11] in the bacterial potassium channel KcsA is still
hotly debated.[12,13] Traditional models of the selectivity
and transport assume the selectivity filter is inflexible and that
differences in the ion binding can be explained by a geometry optimized
to bind K+ ions (the “Snug-fit” model).[11,14] This is in contrast to other proposed explanations, where significant
fluctuations in the selectivity filter are invoked.[12,15−17] More recently, simulations have suggested the assumption
of alternating K+ ions and water molecules transporting
through the selectivity filter may be incorrect, and the K+ ions are more densely packed than previously thought.[13] What is clear, however, is that understanding
the behavior of the selectivity filter is essential to understanding
K+ transport in KcsA, which requires experimental characterization
of the dynamical interaction between the ions and the selectivity
filter.(a) Structure of the transmembrane region of KcsA highlighting
the extended filter region (red) and K+ ions in the (S1,
S3) configuration (purple). (b) Schematic illustration of the ion
occupancy within the selectivity filter for the three configurations
investigated.The TVGYG structural
motif constituting the selectivity filter
is a highly conserved sequence among potassium channels.[18] Each subunit of the KcsA tetramer consists of
an intracellular gating domain and a ∼15 Å narrow pore
domain in which the selectivity filter resides (Figure 1a). The carbonyl groups in this 20-residue filter define a
set of binding sites, labeled S1–S4, in which K+ binds in an 8-fold coordinated geometry (Figure 1b). X-ray crystallography indicates that under physiological
concentration K+ can bind in one of two configurations,
either at sites S1 and S3 or at sites S2 and S4.[19] Water is assumed to occupy the respective other binding
sites for each configuration, though concerns have been raised over
whether this is the case during transport.[13] Na+ has been observed to bind primarily in an in-plane
position (Figure 1b), though there is still
some debate over which residues coordinate Na+.[20]
Figure 1
(a) Structure of the transmembrane region of KcsA highlighting
the extended filter region (red) and K+ ions in the (S1,
S3) configuration (purple). (b) Schematic illustration of the ion
occupancy within the selectivity filter for the three configurations
investigated.
Here we demonstrate on three well-characterized
examples of ion-binding
in KcsA that the ion-induced conformational changes of KcsA can be
characterized using amide I IR spectroscopy in combination with computational
modeling. Using attenuated total reflection (ATR) IR spectroscopy,
it was recently shown that significant differences in the amide I
spectrum can be observed when the buffer cation composition is varied
between K+ and Na+, but the origin of these
differences remained elusive.[21] Here we
present new difference IR spectra between K+ and Na+ buffers designed to prepare the binding configurations pictured
in Figure 1b and use structure-based spectroscopic
modeling that draws on MD simulations to interpret the data. Our analysis
reveals the sensitivity of amide I vibrations of the selectivity filter
and pore region to the conformational changes which occur on binding
K+ or Na+.
Methods
Sample Preparation
KcsA Expression and Purification
The full-length KcsA
channel (167 amino acid length monomer), containing a 6xHis-tag inserted
directly after Met1 and cloned into pRSF1 (Merck), was expressed in Escherichia coli BL21 (DE3) cells on induction with 1 mM
IPTG (isopropyl-β-d-thiogalactopyranoside). Bacteria
were collected and resuspended in buffer A (100 mM NaCl, 50 mM KCl,
50 mM sodium phosphate, pH 8.0) solution and lysed by sonication in
the presence of a protease inhibitor cocktail (complete EDTA-free,
Roche). The protein was solubilized by 1 h incubation with 20 mM n-dodecyl-β-d-maltopyranoside (DDM, Avanti)
which is known to not interfere with the protein’s spectral
features in the amide I band, followed by centrifugation at 30000g for 30 min. The supernatant was incubated with Co2+ affinity resin (Thermo) in the presence of 20 mM imidazole
for 1 h at 4 °C, loaded onto a column, and washed with 40 mM
imidazole and 1 mM DDM in buffer A. The protein was eluted with 400
mM imidazole and 1 mM DDM in buffer A and extensively dialyzed versus
NaCl buffer B (150 mM NaCl, 1 mM DDM, 10 mM HEPES, pH 7.5) to remove
K+ ions.To assist with sample transparency in the
infrared, all exchangeable protons of KcsA were deuterated by multiple
concentration–dilution cycles with D2O-based buffer
B in a 10 kDa MWCO spin concentrator (Amicon, Millipore) over the
course of several days until the H2O content was below
1% as determined by absorption at 3400 cm–1 on a
FTIR spectrometer (Thermo). Temporary heating of the sample to 37
°C and subsequent incubation at 4 °C ensured proper deuteration
of the buried parts of the protein. The desalted and deuterated KcsA
was concentrated to 7–8 mg/mL, frozen in liquid N2, and stored at −80 °C until further use. Correct secondary
structure of KcsA in K+-free buffer B was confirmed via
CD spectroscopy. The fraction of correctly folded tetrameric protein
was estimated by loading unexchanged samples of KcsA on a normal SDS-gel,
and from the densiometry of the monomeric and tetrameric band at approximately
18 and 75 kDa, it was estimated that >95% of the sample was composed
of correctly folded tetrameric protein.
Salt Exchange and Sample
Preparation
To introduce K+ ions into the sample
in a controlled fashion, the KcsA was
subjected to further concentration–dilution cycles with a modified
buffer B (150 mM KCl, 1 mM DDM, 10 mM HEPES pD 7.9 in D2O).
FTIR Spectroscopy
For the FTIR absorbance spectra,
approximately 2.5 μL of KcsA sample in different salt conditions
was sandwiched between two 1 mm thick CaF2 windows (CeNing
Optics), separated by a 50 μM PTFE spacer. For each sample,
2048 averages were collected on a Nicolet 380 FTIR spectrometer (Thermo
Scientific) at 1 cm–1 resolution against a background
of dry air at 20 °C. FTIR spectra of each buffer, without protein,
were also collected in order to subtract the background D2O absorption from the KcsA spectra. Difference spectra are calculated
as FTIR spectra of (KcsA in KCl, buffer subtracted) – (KcsA
in NaCl, buffer subtracted).
Structure-Based
Spectral Modeling
In
order to obtain a molecular interpretation of the spectral features
above, we used a model of the amide I vibration that maps structure
vibrational frequencies and couplings between oscillators.[22,23] This procedure draws on MD simulations of KcsA for each ion-binding
configuration of interest and uses it to parametrize a quantum-mechanical
local mode Hamiltonian for the coupled peptide units of the protein
backbone, which govern the vibrational spectroscopy of the amide I
band.
Molecular Dynamics Simulations
MD simulations were
performed using the GROMACS software package and the CHARMM36 force
field. We started with the full-length tetrameric KcsA crystal structure
by Uysal et al.[24] (PDB accession code 3EFF) and embedded this
in a DMPC membrane[25,26] using the g_membed function in
GROMACS.[27] The protein–lipid system
was solvated with the TIP3P water model. This system was equilibrated
for a total of 2 ns (1 ns NVT equilibration, 1 ns NPT equilibration),
before running a further 7 ns trajectory to use as a basis for the
spectral calculations. These equilibration and trajectory times are
consistent with literature protocols for KcsA simulations.[28−30] All stages of the simulation were run with 2 fs time steps, Nosé–Hoover
thermostat, semi-isotropic Parrinello–Rahman pressure coupling
(where appropriate), and the LINCS constraint algorithm. To compare
the effects of different salts on the spectra, we replaced the contents
of the selectivity filter prior to equilibration with either 2 K+ ions and 2 water molecules (with K+ in either
S1, S3 or S2, S4, water occupying with remaining sites) or 2 Na+ and 2 water molecules (using the positions from Thompson
et al.[20]). During the MD production run,
the K+ (Na+) ions were held in place with harmonic
position restraints.Simulation strategy for linking MD structures with experimental
IR spectra. Individual peptide groups and their associated amide I
transition dipoles are identified in structures sampled from MD simulations.
A local mode Hamiltonian is parametrized from the structure using
the molecular electric field to set the diagonal site frequencies
and off-diagonal couplings between sites. The delocalized eigenstates
and their corresponding transition dipole moments are used to calculate
the IR spectrum and use doorway modes to visualize the vibrations.
Amide I Spectral Modeling
Figure 2 illustrates the simulation protocol
used to link the experimentally
observed IR spectra with MD simulations, as reviewed in detail in
ref (10). The local
mode Hamiltonian is constructed in the basis set of the 668 backbone
peptide units and was parametrized using frozen configurations of
the protein and water. The structure determines the position and orientation
of each peptide unit, and the corresponding amide I transition dipole
moment for that site is positioned in the plane of the peptide unit
between the carbon and oxygen. The diagonal elements of the Hamiltonian
are the vibrational transition energies (site frequencies) between
the ν = 0 and ν = 1 states of the amide I vibration. Hydrogen-bonding
interactions with the carbonyl oxygen downshift these frequencies
by an amount that depends on the local electrostatic environment.
For this calculation, we used the empirical spectral map in which
the frequency of each oscillator is correlated with the electric field
acting on the oxygen of the peptide unit along the carbonyl bond developed
by Reppert et al.[23] The Hamiltonian’s
off-diagonal elements, or couplings, are determined by the spatial
configuration of the peptide units. In the case of through-space interaction,
we used transition dipole coupling, which depends on the distance
and angle between the two oscillators.[31] For bonded peptide units, the through-bond coupling was obtained
from the nearest-neighbor coupling model developed by Jansen et al.,[22] which maps the φ and ψ angles of
the bonded peptide units onto a coupling. Diagonalizing this Hamiltonian
led to eigenstates and eigenvalues which were used to calculate an
FTIR spectrum of individual configurations of protein and water. Since
parameters used depend intimately on the sub-angstrom configuration
of water and protein, we generate Hamiltonians for structural snapshots
at 1 ps intervals of the trajectory. In the case of the K+ calculations, an average of the S1, S3 and S2, S4 calculated spectra
was used for comparison to experiment.
Figure 2
Simulation strategy for linking MD structures with experimental
IR spectra. Individual peptide groups and their associated amide I
transition dipoles are identified in structures sampled from MD simulations.
A local mode Hamiltonian is parametrized from the structure using
the molecular electric field to set the diagonal site frequencies
and off-diagonal couplings between sites. The delocalized eigenstates
and their corresponding transition dipole moments are used to calculate
the IR spectrum and use doorway modes to visualize the vibrations.
This approach is known
to qualitatively reproduce spectral features. While it does not quantitatively
reproduce exact peak frequencies, line widths, or absolute intensities,
the relative frequency shifts and intensities of resonances are reliable
metrics for comparison. Our calculations also neglect side chain vibrations
that may absorb in the 1600–1700 cm–1 region,
such as the amide vibrations from glutamine and asparagine and the
CN vibrations of arginine. While side chains certainly contribute,
it is at a significantly lower level than amide I, and their frequencies
are well-known for the interpretation of experimental spectra. Although
the spectral map we use here neglects side chains, it is important
to note that other maps have been developed which are developed with
the aim of capturing the vibrations of side chain amide groups (Asp,
Glu),[32] though the application of this
maps to side chains in larger proteins has not been characterized.
Doorway Mode Analysis
The diagonalization of the local
mode Hamiltonian provides not only the energies of the vibrational
modes but also the corresponding eigenstates. Interpretation of these
eigenstates, however, is hampered by the sheer number of them (>30 000
in this case), even for a small subset of the protein structure at
a reduced sampling rate. Analogously to how principal component analysis
can be used to describe which input variables are principally responsible
for observed trends, doorway mode analysis shows which amide units
contribute most significantly to the IR spectrum in a specific frequency
window.[33] To obtain a set of representative
strongly IR-active states from a subset of eigenvectors, we apply
the doorway mode analysis in ref (34), using a ± 3 cm–1 window
about the stated center frequency.Though outlined in detail
in ref (34), we briefly
review doorway mode analysis. The aim is to find a transformation
matrix Φ, which will transform
vectors in the site basis to the doorway basis. The doorway mode basis
is one where most of the intensity of the transition is contained
within the first three modes. First, we define the matrix T, a subset of the transformation
matrix obtained from the eigenvalue decomposition of the Hamiltonian.
The subset is defined to only include eigenstates with eigenvalues
within the frequency range R. A singular value decomposition (SVD) of the eigenstates of
the Hamiltonian transforms them to a basis where each subsequent component
contributes less to the transition intensity. Combining the SVD transformation
matrix U with our eigenstate
transformation matrix T yields the overall transformation matrix Φ = UT. With this matrix, we are able to determine
representative modes for each transition.
Results and Discussion
FTIR Experiments
As shown in Figure 3, the FTIR spectra of
KcsA in both KCl and NaCl
show a broad peak centered at 1655 cm–1, consistent
with the high α-helix content of the protein. The asymmetric
line shape features a broad shoulder at lower frequencies, which includes
contributions from the side chain absorptions of Asp, Arg, Gln, Tyr,
Trp, and Gln residues.[35] To specifically
capture the spectral changes which arise solely from the binding of
ions by the selectivity filter, we focus on the analysis of the difference
spectra, i.e., the spectrum of KcsA in KCl buffer minus the spectrum
of KcsA in NaCl buffer. The FTIR difference spectrum, in Figure 3, is highly structured, with several distinct features.
Of these features, we select three for analysis (labeled 1, 2, and
3) because they are the largest amplitude differences within the amide
I window, are not overlapping other features, and are well-reproduced
by our calculations. Peak 1 is a strong and broad negative peak at
1625 cm–1, peak 2 is a strong positive band at 1660
cm–1, and peak 3 is a less intense narrow positive
band at 1680 cm–1. Given that the amide I vibrations
of 668 peptide units contribute to the full FTIR spectra, and that
only 16 carbonyls are in direct contact with the bound ions at any
one time, it is not surprising that the largest spectral changes between
KCl and NaCl buffers are on the order of 4%. Nevertheless, this change
is large enough to suggest that a significant number of amide carbonyls
are sensitive to the identity of the bound ion.
Figure 3
Experimental spectra
of KcsA with KCl or NaCl buffers and the difference
spectrum (KCl – NaCl) illustrating the correspondence of key
features.
Experimental spectra
of KcsA with KCl or NaCl buffers and the difference
spectrum (KCl – NaCl) illustrating the correspondence of key
features.Our experimental FTIR spectra
and difference spectrum are consistent
with the difference ATR infrared spectra reported recently by Futurani
et al.[21] Our peak positions differ by <5
cm–1, but this readily explained by our use of deuterated
sample as opposed to experiments in H2O, and the differing
chemical environment of the sample (DDM micelles in this work versus
Asolectin bilayer).
Simulations of FTIR Spectra
Simulated
FTIR and FTIR difference spectra, shown in Figures 4a and 4b, respectively, are able to
qualitatively reproduce the key experimental features. The full FTIR
center frequency and line width are in good qualitative agreement,
though as noted earlier, quantitative agreement should not be expected
from these calculations. The experimental line shape is not fully
reproduced by calculation, notably in the 1620–1650 cm–1 region, in which there is a shoulder in the experimental
spectra which is not captured in the calculations. We attribute this
primarily to side chain absorptions in this region (namely Arg at
1605 cm–1, Tyr at 1615 cm–1, Trp
at 1618 cm–1, and Gln at 1640 cm–1),[35] which are not included in our calculation
since vibrational frequency and coupling models do not presently exist.
Figure 4
Comparison
of the experimental and calculated spectra for KcsA
in KCl buffer (a) and the difference spectra (b). Peaks 1, 2, and
3 (see main text) are highlighted in red, green, and blue respectively,
and the side chain region is highlighted in orange.
Comparison
of the experimental and calculated spectra for KcsA
in KCl buffer (a) and the difference spectra (b). Peaks 1, 2, and
3 (see main text) are highlighted in red, green, and blue respectively,
and the side chain region is highlighted in orange.In the calculated FTIR difference spectrum, we
find the three features
highlighted in the experimental data are reproduced well both in peak
frequency (differing by only a few wavenumbers) and in relative intensity.
The reproduction of both the frequency and intensity in our calculations
suggests the nature of the delocalized vibrational modes is well captured.The most notable region of mismatch between the experimental and
calculated difference spectra is again the 1620–1650 cm–1 region. While this could reflect a limitation of
the vibrational coupling model, is it more likely to reflect the neglect
of side chain vibrations in our calculations. Previous work has shown
that the Y78F mutant, which shows similar functional behavior to the
WT protein,[36] gives rise to a difference
spectra distinct from the wild-type, with the most notable differences
being in the 1620–1650 cm–1 region.[21] However, we note that, while the side chain
absorptions may indeed contribute significantly to the experimental
difference spectrum, our analysis focuses on peaks which are clearly
reproduced by the carbonyl-only modeling, indicating that a discussion
of these peaks in terms of delocalized amide I vibrations only is
appropriate.Comparison of calculated difference spectra for different
subsections
of KcsA. The filter-only calculation is unable to reproduce the features
observed in the extended filter region, the full transmembrane region,
and the experimental spectra.To determine the participation of different regions of the
protein
to the spectral features observed, we calculated difference FTIR spectra
using various subdomains of the full tetrameric protein complex. These
sections are (a) the four TVGY chains comprising the selectivity filter,
(b) the “extended filter” region comprising the selectivity
filter and the four pore helices, and (c) the entire transmembrane
region of the protein. Our results are summarized in Figure 5. We found that the calculated FTIR spectra for
the transmembrane region and the extended filter differed only in
the intensity of some features but were otherwise consistent with
each other. The selectivity filter alone could not reproduce the difference
spectra, notably the 1660 cm–1 peak, suggesting
the larger protein complex and coupling between the monomer units
are actively participating in generating the observed experimental
spectra.
Figure 5
Comparison of calculated difference spectra for different
subsections
of KcsA. The filter-only calculation is unable to reproduce the features
observed in the extended filter region, the full transmembrane region,
and the experimental spectra.
Calculated spectra for the extended filter region for the various
ion-binding configurations. The calculated difference spectrum is
shown in gray.In order to elucidate
the origins of the features in the difference
spectra, we show the calculated FTIR spectra for the individual ion-binding
configuration of the extended filter region in Figure 6. From this, we see that peaks 1 and 3 come from distinct
peaks in the Na+- and K+-bound calculations,
respectively, while peak 2 comes from a change in intensity and line
shape of a peak present in the K+and Na+ calculations. Taken in conjunction with the calculations
on truncated regions of the protein, this suggest the 1660 cm–1 peak in the difference spectra (peak 2) arises from
changes in the α-helices surrounding the pores. The nature of
these structural changes is discussed below.
Figure 6
Calculated spectra for the extended filter region for the various
ion-binding configurations. The calculated difference spectrum is
shown in gray.
Vibrational
Mode Assignment and Visualization
To visualize the molecular
origins of the vibrations which contribute
to the difference spectrum, we apply a doorway mode analysis to our
calculated eigenvectors for the extended filter region. We selected
four frequency windows—the first at 1630 cm–1 corresponding to peak 1, 1660 cm–1 (peak 2), 1674
cm–1 (peak 3 for S1, S3 binding), and 1680 cm–1 (peak 3 for S2, S4 binding)—and analyzed eigenstates
falling within ±3 cm–1 of the center frequency.
On the basis of this calculation, the four frequencies can be assigned
to four modes with distinct vibrational motions involving amide units
within the extended filter region (see Figure 7). The amide units contributing most significantly to the 1630 cm–1 mode, designated the B-site mode,
are T75 carbonyls with some contribution from the carbonyls of the
pore α-helices. These carbonyls and the direction of their transition
dipoles are identified with outlined arrows in Figure 7a. Carbonyls on opposite monomers of the filter mode vibrate
out-of-phase, contracting on one side and extending on the other;
however, the net transition dipole moment of all oscillators constructively
adds so that the total transition dipole moment (green arrows) is
orthogonal to the filters pore. The 1660 cm–1 mode
(labeled “Helix”) is present in all cases and is constituted
almost exclusively by vibrations from the pore α-helices. Carbonyls
in all monomers are in-phase and contribute to an overall dipole moment
that is oriented along the pore (Figure 7b).
The 1674 cm–1 mode of the (S1, S3) configuration
is termed “S3”, due to the strong involvement of the
T75 and V76 residues in the filter which define the S3 binding site
(Figure 7c). Similarly the 1680 cm–1 mode of the (S2, S4) configuration is termed “S2”
due to the large amplitude in the V76 and G77 residues which define
the S2 binding site (Figure 7d).
Figure 7
Visualizations
of calculated doorway modes of the extended filter
region presented as side view (left) and top view looking down the
pore (right). Color indicates the relative sign of the CO vibrational
motion (contraction/extension), while the color intensity indicates
its amplitude. Outlined arrows indicate the direction of the transition
dipole moment of individual carbonyls contributing most to the mode.
The sum of transition dipoles of one monomer is shown as black arrows.
The direction of the net transition dipole moment for the whole extended
monomer (μ) is shown with dotted green arrows. The colors in
circles on the right indicate the overall displacement of the selectivity
filter carbonyls in that strand. Na+ and K+ ions
are blue and purple, respectively.
Visualizations
of calculated doorway modes of the extended filter
region presented as side view (left) and top view looking down the
pore (right). Color indicates the relative sign of the CO vibrational
motion (contraction/extension), while the color intensity indicates
its amplitude. Outlined arrows indicate the direction of the transition
dipole moment of individual carbonyls contributing most to the mode.
The sum of transition dipoles of one monomer is shown as black arrows.
The direction of the net transition dipole moment for the whole extended
monomer (μ) is shown with dotted green arrows. The colors in
circles on the right indicate the overall displacement of the selectivity
filter carbonyls in that strand. Na+ and K+ ions
are blue and purple, respectively.Instances of both delocalized and highly localized amide
I vibrations
are known.[37,38] The extent of delocalization
determines how specific an IR resonance will be to interactions at
a particular site of the protein. The extent of delocalization of
vibrations is determined by two competing factors: the strength of
couplings between oscillators (J) and the variation
in individual site frequencies (Δω). Increasing J and decreasing Δω leads to increasing delocalization.
In the case of the “Helix” mode (peak 2); the near-uniform
electrostatic environment of the α-helix minimizes Δω
while also locking the oscillators into a geometry which gives rise
to significant coupling between oscillators, resulting in a vibrational
mode which is spread over the length of the pore helix. We believe
the delocalized nature of the “Helix” mode is the key
to why peak 2 is observed in the difference spectrum. Slight changes
in the structure of α-helices, such as a slight bending of the
helix from the helical axis, have been predicted to change the intensity
and line widths of IR peaks.[39,40] The increase in intensity
at 1660 cm–1 in the K+ bound data suggests
that the α-helices deviate further from an ideal α-helix
geometry than the Na+ bound structure.The remaining
three modes we identify, however, are more local
in character, because the electrostatic environments that arise from
binding K+ and Na+ strongly and selectively
influences the frequency of the coordinating carbonyls. These conclusions
are borne out in our model. For the B mode, the proximity of Na+ lowers the frequency of the four T75 carbonyls by >25
cm–1 relative to the V76 carbonyls. Considering
the weaker
coupling between T75 and V76 carbonyls (J < 8
cm–1), binding Na+in plane with the T75 residues largely decouples these vibrations from the
rest of the extended filter, creating a site-specific infrared transition.
For the S3 mode, the similar frequencies of the K+-binding
V76 and G77 carbonyls (Δω ≈ 10 cm–1) and their strong coupling (J > 8 cm–1) lead to a vibrational transition that is largely localized on the
eight carbonyls defining the S3 site. Similar factors seem to be responsible
for the S2 mode which strongly involves the T75 and V76 residues.In reality, all of the vibrational motions we observe are neither
localized to a single oscillator nor delocalized over the entire protein
but have varying degrees of delocalization. Furthermore, the doorway
modes do not reflect how these characteristic vibrational motions
influence one another or act in concert as would be appropriate for
developing a dynamical picture of the protein–ion interaction.
Conclusions
Our results show that IR spectroscopy
coupled with structure-based
spectral modeling can be used as a sensitive tool to investigate functionally
relevant conformational changes in large membrane proteins and, furthermore,
detect subtle local changes. We have demonstrated this capability
in this study by resolving the different environments of the binding
sites in the selectivity filter of KcsA and identified unique IR signatures
of ion binding states. Structure-based spectroscopic modeling of the
extended filter region allowed us to perform the doorway mode analysis
which established the link between our experimental data and the ion-induced
structural rearrangements in the protein. We found different vibrational
couplings for the K+- and Na+-bound states between
the TVGY core of the channel and the pore helices, which suggest that
the helices are not simply a structural support but may indeed play
a central role in determining the different transport properties of
KcsA for these ions. It has previously been suggested that the pore
helices may act as a mediator between selectivity filter and activation
gate, with particular emphasis on the mechanism of C-type inactivation.[41,42] Our work suggests the role of the pore helices may extend beyond
this and even have a role in determining the energetics and dynamics
of ion binding. To what extent these vibrational couplings map onto
functionally relevant interactions could be further studied by mutations
that alter the interface between the pore helix and selectivity filter.[43]Though our work was not designed to directly
study KcsA under transport
conditions, some of our conclusions have important implications in
this area. We find experimental evidence for strong interactions between
the T75 carbonyls and Na+. In their recent paper, Köpfer
et al.[13] emphasize the role of positional
fluctuations in the selectivity filter during transport. This suggests
perhaps that Na+ ions are not conducted, in part, because
of the influence of the Na+ on the coordinating carbonyl
dynamics (“rigidifying” them).On the technical
side, one possible extension of our work here
is to time-resolved and multidimensional IR spectroscopy. This will
capture the dynamics of the protein in real time, shedding light on
the underlying molecular mechanisms of the early time events in binding
in transport, thus far inaccessible to standard techniques. This provides
the tantalizing possibility that mechanisms suggested by MD, such
as those for C-type inactivation,[44,45] could be directly
tested.
Authors: Prabuddha Mukherjee; Amber T Krummel; Eric C Fulmer; Itamar Kass; Isaiah T Arkin; Martin T Zanni Journal: J Chem Phys Date: 2004-06-01 Impact factor: 3.488
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