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Biophys J, August 2000, p. 767-775, Vol. 79, No. 2

Transmembrane Domain of M2 Protein from Influenza A Virus Studied by Solid-State 15N Polarization Inversion Spin Exchange at Magic Angle NMR

Zhiyan Song,* F. A. Kovacs,dagger J. Wang,dagger Jeffrey K. Denny,*Dagger S. C. Shekar,§ J. R. Quine,*dagger Dagger and T. A. Cross*dagger

 *National High Magnetic Field Laboratory,  dagger Institute of Molecular Biophysics,  Department of Chemistry, and  Dagger Department of Mathematics, Florida State University, Tallahassee, Florida 32306; and  §Department of Biochemistry and Cellular Biology, State University of New York, Stony Brook, New York 11794 USA


    ABSTRACT
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
ANALYSIS OF 2D SPECTRA
RESULTS AND DISCUSSION
REFERENCES

The M2 protein from the influenza A virus forms a proton channel in the virion that is essential for infection. This tetrameric protein appears to form a four-helix bundle spanning the viral membrane. Here the solid-state NMR method, 2D polarization inversion spin exchange at magic angle (PISEMA), has been used to obtain multiple constraints from specifically amino acid-labeled samples. The improvement of spectral resolution from 2D PISEMA over 1D methods and 2D separated local field methods is substantial. The reliability of the method is validated by comparison of anisotropic chemical shift and heteronuclear dipolar interactions from single site labeled samples. The quantitative interpretation of the high-resolution constraints confirms the helix tilt to be within the range of previous experimental determinations (32°-38°). The binding of the channel inhibitor, amantadine, results in no change in the backbone structure at position Val27,28, which is thought to be a potential binding site for the inhibitor.


    INTRODUCTION
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
ANALYSIS OF 2D SPECTRA
RESULTS AND DISCUSSION
REFERENCES

The efficient utilization of structural constraints and incorporation of all structural information into structural modeling is an ongoing challenge. The solid-state NMR method, polarization inversion spin exchange at magic angle (PISEMA), which correlates 15N-1H dipolar interactions with 15N chemical shifts (Wu et al., 1994), provides high-resolution orientational constraints. Here these constraints are obtained for the transmembrane peptide of M2 protein from influenza A virus, M2-TMP. Through assignments made by single-site labels, these high-resolution constraints are combined with the known alpha -helical structure of M2-TMP to enhance a structural model and to determine specific torsion angles.

While distance and torsional constraints can be obtained by solid-state NMR from unoriented samples, orientational constraints in this paper are obtained from samples uniformly aligned with respect to the magnetic field axis of the NMR spectrometer. Such constraints have numerous advantages for assembling structures and for obtaining a structure that is oriented with respect to its environment---in this molecular system, a lipid bilayer (Fu and Cross, 1999; Quine, 1999).

The two-dimensional PISEMA pulse sequence, developed by Opella and co-workers, has been successfully used to obtain anisotropic 15N chemical shifts and directly bonded 15N-1H dipolar interactions (Wu et al., 1994; Marassi et al., 1997; Tian et al., 1998). This spectroscopy of uniformly aligned samples yields much improved dipolar resolution and a favorable dipolar scaling factor (0.816) compared to earlier separated local field (SLF) spectroscopy (Hester et al., 1976; Waugh, 1976). The scheme uses conventional I-S cross-polarization (CP) followed by frequency-switched Lee-Goldburg (LG) cycles (Bielecki et al., 1990; Lee and Goldburg, 1965). During the LG cycles, the I-spins are locked along the magic angle, 54.74° relative to the magnetic field, and matched by a phase-alternated spin-lock field applied to the S-spins. The Fourier transform of the NMR signal against acquisition time, t2, and evolution time, t1, yields a 2D spectrum with chemical shifts in the omega 2 dimension and dipolar splittings in the omega 1 dimension.

The M2 protein (97 amino acids) from the influenza A virus is an integral membrane protein with proton channel activity in the viral coat (Lamb et al., 1994; Wang et al., 1994). Its single transmembrane alpha -helix is contained within the 25-amino acid peptide M2-TMP (residues 22-46), which has been reported to show channel activity similar to that of native M2 protein (Duff and Ashley, 1992). However, recent studies of various truncated proteins have brought this result into question (Tobler et al., 1999). The transmembrane portion of both M2 and M2-TMP primarily adopts an alpha -helical structure, and M2 forms a homotetramer in lipid environments, as characterized by several studies (Duff et al., 1992; Holsinger and Lamb, 1991; Sakguchi et al., 1997; Kovacs and Cross, 1997). M2-TMP also appears to form an oligomer. The helix tilt of a monomer should be sensitive to the thickness of the lipid bilayer, but M2-TMP has been shown to be quite insensitive to a change in bilayer thickness (Kovacs et al., 2000). Therefore, the helix tilt appears to be an intrinsic propensity of an oligomer. In addition, the oligomer is not a heterogeneous aggregate, inasmuch as single site labels give rise to a single identical resonance from each monomer. M2-TMP is therefore presumed to be a tetrameric state, similar to M2 protein, but the oligomeric state of M2-TMP has not been specifically defined.

In previous investigations of isotopically labeled M2-TMP, orientational constraints derived from NMR and infrared spectroscopy were interpreted to show that the helices are tilted by 32°-38° with respect to the lipid bilayer normal (Kovacs and Cross, 1997; Kukol et al., 1999; Kovacs et al., 2000). Moreover, model building of the tetramer suggested that the alpha -helical bundle is left-handed (Kovacs and Cross, 1997). The channel function of M2 can be blocked by amantadine, potentially through binding to a specific sequence (residues 27-31) in its transmembrane domain (Skehel, 1992; Hay, 1992; Wang et al., 1993). Here a preliminary binding experiment of amantadine with M2-TMP is described.


    MATERIALS AND METHODS
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
ANALYSIS OF 2D SPECTRA
RESULTS AND DISCUSSION
REFERENCES

Sample preparation

Several 15N-labeled amino acids were purchased from Cambridge Isotope Lab (Cambridge, MA). M2-TMP (NH2-Ser22-Ser23-Asp24-Pro25-Leu26- Val27-Val28-Ala29-Ala30-Ser31-Ile32-Ile33-Gly34-Ile35-Leu36-His37-Leu38- Ile39-Leu40-Trp41-Ile42-Leu43-Asp44-Arg45-Leu46-CO2H) was obtained by solid-phase synthesis, using fluorenoylmethoxy carbonyl chemistry on an Applied Biosystems 430A Synthesizer. Amino acid blocking, purification, and characterization of the peptides were performed as previously described (Kovacs et al., 2000).

To orient a lipid bilayer preparation, M2-TMP and dimyristoylphosphatidylcholine (DMPC) or dioleoylphosphatidylcholine (DOPC) were codissolved in trifluoroethanol (TFE) with a peptide-to-lipid molar ratio of 1:8 and 1:30, respectively. Then the sample was spread onto ~60 thin glass plates (75 µm × 10.5 mm × 10.5 mm). After vacuum drying to remove TFE, the glass plates were stacked into a glass tube (11 mm × 11 mm), and the samples were hydrated with high-performance liquid chromatography-grade water (~50% by weight). Finally, the samples were sealed and incubated at ~45°C for several days.

NMR experiments

The NMR measurements were performed on a spectrometer with a 9.4-T magnet, operating at a 15N Larmor frequency of 40.585 MHz. The probe was constructed in house and has a rectangular coil suited to the sample size. The oriented M2-TMP samples were placed with the order axis (i.e., the lipid bilayer normal) parallel to the magnetic field axis. All 15N chemical shifts are relative to the resonance for a saturated solution of 15NH4NO3 at 0 ppm.

For the PISEMA experiment, the cross-polarization (CP) period was 1 ms. The rf field strengths were typically 31.4 kHz for the CP match and 38.5 kHz for the Lee-Goldburg (LG) condition, corresponding to a LG time interval of tm = 26 µs. A delay of 1 µs was used at the onset of each ±LG cycle to compensate for the frequency synthesizer (Programmed Test Sources type) switch time, which was found to be critical for achieving the theoretical dipolar scaling factor (0.816). The t1 value was incremented from 0 to 24 Lee-Goldburg cycles, and the refocused 15N-signal was acquired with ~2000 transients for each t1 increment. For data processing, 512 and 256 points in the t2 and t1 dimensions were used, respectively, and exponential line broadening of 100 Hz was used in the t2 dimension, but not in the t1 dimension. The spectral symmetry in the dipolar dimension was achieved by setting the imaginary portion of the data points to zero before the Fourier transform against t1.


    ANALYSIS OF 2D SPECTRA
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
ANALYSIS OF 2D SPECTRA
RESULTS AND DISCUSSION
REFERENCES

For spectral analysis, several relevant orientation reference frames are defined (Fig. 1) as follows: P, the 15N chemical shift anisotropy (CSA) principal axis frame with the principal tensor elements sigma 11, sigma 22, sigma 33; Nh, the frame of the 15N-1H dipolar interaction tensor with its unique z axis along the 15N-1H bond; D, the director frame with its z axis along the lipid bilayer normal. Any two of these coordinate systems are related by Euler rotations Omega (alpha , beta , gamma ).



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FIGURE 1   Definition of the 15N chemical shift principal axis frame (PAS) and the 15N-1H dipolar interaction tensor with respect to the sample director axis. This latter axis is the bilayer normal in the samples studied here, and it is arranged to be parallel to B0.

In our oriented samples, the z axis of the director frame is parallel to the magnetic field, B0, and the observed chemical shift can be written in terms of tensor magnitudes and orientations as
&sfgr;<SUB><UP>obs</UP></SUB>=&sfgr;<SUB>11</SUB><UP>cos</UP><SUP><UP>2</UP></SUP>&agr;<SUB><UP>PD</UP></SUB><UP>sin</UP><SUP><UP>2</UP></SUP>&bgr;<SUB><UP>PD</UP></SUB>+&sfgr;<SUB>22</SUB><UP>sin</UP><SUP><UP>2</UP></SUP>&agr;<SUB><UP>PD</UP></SUB><UP>sin</UP><SUP><UP>2</UP></SUP>&bgr;<SUB><UP>PD</UP></SUB>+&sfgr;<SUB>33</SUB><UP>cos</UP><SUP><UP>2</UP></SUP>&bgr;<SUB><UP>PD</UP></SUB> (1)
where the Euler angles alpha PD, beta PD relate the CSA principal axis frame to the sample director frame. Notice that gamma PD = 0.

The 15N-1H dipolar splitting can be described by
&Dgr;&ngr;=±&ngr;<SUB>∥</SUB>(3<UP>cos<SUP>2</SUP></UP>&thgr;−1) (2)
where nu || = (µ0/4pi ) (gamma Hgamma Nh/2pi rNH3) is the dipolar coupling constant; gamma H and gamma N are the gyromagnetic ratios of 1H and 15N, respectively; h is Planck's constant; and rNH is the N-H bond length. The angle theta  is the polar angle relating the N-H internuclear vector to B0. Correlating with the CSA frame yields
<UP>cos</UP> &thgr;=<UP>cos</UP> &bgr;<SUB><UP>PD</UP></SUB><UP>cos</UP> &bgr;<SUB><UP>PNh</UP></SUB>+<UP>sin</UP> &agr;<SUB><UP>PD</UP></SUB><UP>sin &bgr;<SUB>PD</SUB>sin &agr;<SUB>PNh</SUB>sin &bgr;<SUB>PNh</SUB></UP> (3)

+<UP>cos &agr;<SUB>PD</SUB>sin &bgr;<SUB>PD</SUB>cos &agr;<SUB>PNh</SUB>sin &bgr;<SUB>PNh</SUB></UP>
where the Euler angles (alpha PD, beta PD) and (alpha PNh, beta PNh) refer to the transformation from the CSA principal axis frame to the director frame and to the dipolar tensor frame, respectively.

Taking the 15N-1H dipolar coupling constant to be nu || = 10.735 kHz, based on an N-H bond length of 1.041 Å, and assuming that the 15N amide tensor orientations relative to the 15N-1H bond are typically alpha PNh = 0°, beta PNh = 17° (Mai et al., 1993), Eqs. 1-3 can be solved for each site, using pairs of (sigma obs, Delta nu ) values obtained from 2D PISEMA and the corresponding CSA tensor values sigma 11, sigma 22, sigma 33. The resulting theta  and (alpha PD, beta PD) values relate the N-H bond and the CSA principal axis frame, respectively, to the director z axis. These angles give important orientational constraints for structural analysis. In general, four possible alpha PD, beta PD solutions, (± alpha PD, beta PD), (pi  ± alpha PD, pi  - beta PD), may be derived from the combination of Eqs. 1-3, while two solutions, (theta , pi  - theta ), may be derived from a positive dipolar splitting value according to Eq. 2. For two adjacent residues, such as Val27-28 and Ile32-33, the orientations of the principal axis frames for each residue can be used to obtain a list of possible phi , psi  torsion angles that correspond to the data for those residues.

The PAF1 is defined as the CSA principal axis frame for the first residue (either Val27 or Ile32) with the B0 orientation (alpha PD1, beta PD1), and the PAF2 is the CSA principal axis frame for the second residue (Val28 or Ile33) with the B0 orientation (alpha PD2, beta PD2). For the peptide plane geometry in Fig. 2, the supplements of the bond angles Calpha -C1-N and C1-N-Calpha are 65° and 59°, respectively, and the tetrahedral geometry at Calpha is such that the supplement of the angle N-Calpha -C is 70°. Unit vectors in the direction of the C1-N and N-Calpha bonds in PAF1 are denoted by u1 and u2, and the unit vectors in the direction of the Calpha -C1 and C1-N bonds in PAF2 are denoted by u3 and u4.



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FIGURE 2   Bond direction unit vectors of a peptide plane and bond angles used for the calculations of backbone torsion angles.

Based on four possible alpha PD, beta PD solutions for each pair of residues, the torsion angles can now be computed by using orientational constraints and a torsion angle identity:
&phgr;=<UP>Tor</UP>(<B><UP>u</UP></B><SUB>1</SUB>,<B><UP>u</UP></B><SUB>2</SUB>,<B><UP>u</UP></B><SUB>3</SUB>)=<UP>Tor</UP>(<B><UP>u</UP></B><SUB>1</SUB>,<B><UP>u</UP></B><SUB>2</SUB>,<B><UP>B</UP></B>(&agr;<SUB><UP>PD1</UP></SUB>,&bgr;<SUB><UP>PD1</UP></SUB>))+<UP>Tor</UP>(<UP>−<B>B</B></UP>(&agr;<SUB><UP>PD1</UP></SUB>,&bgr;<SUB><UP>PD1</UP></SUB>),<B><UP>u</UP></B><SUB>2</SUB>,<B><UP>u</UP></B><SUB>3</SUB>)

&psgr;=<UP>Tor</UP>(<B><UP>u</UP></B><SUB>2</SUB>,<B><UP>u</UP></B><SUB>3</SUB>,<B><UP>u</UP></B><SUB>4</SUB>)=<UP>Tor</UP>(<B><UP>u</UP></B><SUB>2</SUB>,<B><UP>u</UP></B><SUB>3</SUB>,<B><UP>B</UP></B>(&agr;<SUB><UP>PD2</UP></SUB>,&bgr;<SUB><UP>PD2</UP></SUB>))+<UP>Tor</UP>(<UP>−<B>B</B></UP>(&agr;<SUB><UP>PD2</UP></SUB>,&bgr;<SUB><UP>PD2</UP></SUB>),<B><UP>u</UP></B><SUB>3</SUB>,<B><UP>u</UP></B><SUB>4</SUB>) (4)
where
<UP>Tor</UP>(<B><UP>v</UP></B><SUB><UP>1</UP></SUB>,<B><UP>v</UP></B><SUB>2</SUB>,<B><UP>v</UP></B><SUB>3</SUB>) (5)

=<UP>arg</UP>(<UP>−<B>v</B></UP><SUB>1</SUB> · <B><UP>v</UP></B><SUB>3</SUB>+(<B><UP>v</UP></B><SUB>1</SUB> · <B><UP>v</UP></B><SUB>2</SUB>)(<B><UP>v</UP></B><SUB>2</SUB> · <B><UP>v</UP></B><SUB>3</SUB>),<B><UP>v</UP></B><SUB>1</SUB> · (<B><UP>v</UP></B><SUB>2</SUB>×<B><UP>v</UP></B><SUB>3</SUB>))
for unit vectors v1, v2, and v3 (Quine, 1999). Here, arg(xy) denotes the complex argument of (xy), which is the angle between -180° and 180° formed by the x axis and the point (xy) in the plane. The key for minimizing ambiguities is to compute the torsion angles by using only dot products of vectors, to avoid the need for changing frames between PAF1 and PAF2. The necessary dot products are
<AR><R><C><B><UP>u</UP></B><SUB>1</SUB> · <B><UP>u</UP></B><SUB>2</SUB>=<UP>cos</UP>(59°)</C></R><R><C><B><UP>u</UP></B><SUB>1</SUB> · <B><UP>B</UP></B>(&agr;<SUB><UP>PD1</UP></SUB>,&bgr;<SUB><UP>PD1</UP></SUB>)=<UP>cos</UP>(15°)<UP>cos</UP>(&agr;<SUB><UP>PD1</UP></SUB>)<UP>sin</UP>(&bgr;<SUB><UP>PD1</UP></SUB>)</C></R><R><C> +<UP>sin</UP>(15°)<UP>cos</UP>(&bgr;<SUB><UP>PD1</UP></SUB>)</C></R><R><C><B><UP>u</UP></B><SUB>2</SUB> · <B><UP>B</UP></B>(&agr;<SUB><UP>PD1</UP></SUB>,&bgr;<SUB><UP>PD1</UP></SUB>)=<UP>cos</UP>(44°)<UP>cos</UP>(&agr;<SUB><UP>PD1</UP></SUB>)<UP>sin</UP>(&bgr;<SUB><UP>PD1</UP></SUB>)</C></R><R><C> −<UP>sin</UP>(44°)<UP>cos</UP>(&bgr;<SUB><UP>PD1</UP></SUB>)</C></R><R><C><B><UP>u</UP></B><SUB>2</SUB> · <B><UP>u</UP></B><SUB>3</SUB>=<UP>cos</UP>(70°)</C></R><R><C><B><UP>u</UP></B><SUB>3</SUB> · <B><UP>u</UP></B><SUB>4</SUB>=<UP>cos</UP>(65°)</C></R><R><C><B><UP>u</UP></B><SUB>3</SUB> · <B><UP>B</UP></B>(&agr;<SUB><UP>PD2</UP></SUB>,&bgr;<SUB><UP>PD2</UP></SUB>)=<UP>cos</UP>(50°)<UP>cos</UP>(&agr;<SUB><UP>PD2</UP></SUB>)<UP>sin</UP>(&bgr;<SUB><UP>PD2</UP></SUB>)</C></R><R><C> −<UP>sin</UP>(50°)<UP>cos</UP>(&bgr;<SUB><UP>PD2</UP></SUB>)</C></R><R><C><B><UP>u</UP></B><SUB>4</SUB> · <B><UP>B</UP></B>(&agr;<SUB><UP>PD2</UP></SUB>,&bgr;<SUB><UP>PD2</UP></SUB>)=<UP>cos</UP>(15°)<UP>cos</UP>(&agr;<SUB><UP>PD2</UP></SUB>)<UP>sin</UP>(&bgr;<SUB><UP>PD2</UP></SUB>)</C></R><R><C> +<UP>sin</UP>(15°)<UP>cos</UP>(&bgr;<SUB><UP>PD2</UP></SUB>)</C></R></AR> (6)
The scalar triple product in Eq. 5 does, however, give an ambiguity, known as a chirality ambiguity (Quine, 1999; Quine et al., 1997), when it is computed using dot products:
<B><UP>v</UP></B><SUB>1</SUB> · (<B><UP>v</UP></B><SUB>2</SUB>×<B><UP>v</UP></B><SUB>3</SUB>)=<UP>±</UP>(1−x<SUP>2</SUP>−y<SUP>2</SUP>−z<SUP>2</SUP>+2xyz)<SUP>1/2</SUP> (7)
where
x=<B><UP>v</UP></B><SUB>1</SUB> · <B><UP>v</UP></B><SUB>2</SUB>, y=<B><UP>v</UP></B><SUB>2</SUB> · <B><UP>v</UP></B><SUB>3</SUB>, z=<B><UP>v</UP></B><SUB>1</SUB> · <B><UP>v</UP></B><SUB>3</SUB>
Thus these equations yield 16 possible torsion angle pairs for every choice of (alpha PD1, beta PD1) and (alpha PD2, beta PD2). Here we will minimize this set based on the known alpha -helical secondary structure.


    RESULTS AND DISCUSSION
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
ANALYSIS OF 2D SPECTRA
RESULTS AND DISCUSSION
REFERENCES

The chemical shift tensor element magnitudes have been determined by using single site labeled samples of M2-TMP. While the tensors were not determined in a hydrated lipid bilayer environment, they were determined as a powder prepared from a trifluoroethanol solution in which the samples are alpha -helical. Therefore, the tensors are characterized for the sites of interest in the conformation of interest (Table 1).


                              
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TABLE 1   CSA values measured from single site 15N-labeled M2-TMP powder samples (in ppm relative to saturated 15NH4NO3 solution)

The PISEMA spectra of oriented M2-TMP samples with selective 15N-labeling are displayed in Figs. 3, 5, and 6. The 2D contour plots display 15N chemical shifts in the horizontal dimension and 15N-1H dipolar splittings in the vertical dimension, with the scale expanded by 1.22 to account for the experimental scaling of the dipolar dimension.



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FIGURE 3   PISEMA spectrum of oriented 15N-Ile32,33,35,39,42-labeled M2-TMP in hydrated DMPC lipid bilayers. A conventional 1D spectrum is shown above. The slices on the left side represent the 15N-1H dipolar splittings corresponding to the chemical shifts indicated by the arrows in the contour plot. Chemical shifts are referenced to saturated 15NH4NO3 solution at 0 ppm.

Fig. 3 shows the PISEMA spectrum of 15N-Ile32,33,35,39,42-labeled M2-TMP in hydrated DMPC lipid bilayers. For comparison, the conventional 1D chemical shift spectrum for this sample is shown at the top. While the peaks of four Ile sites between 118 and 129 ppm cannot be resolved in the 1D spectrum, they are resolved in this 2D spectrum and in the corresponding dipolar slices on the left side.

The spectral results are compared in Table 2 to the chemical shift data from single site labeled M2-TMP in similar bilayer preparations (spectra not shown). The assignments for Ile33, Ile35, and Ile42 and Val27 and Val28 are achieved from the single site labels. However, without the single site dipolar information, the assignments for Ile32 and Ile39 are tentative, based on a novel assignment strategy that recognizes a helical wheel pattern of resonances in the PISEMA spectra (Wang et al., 2000). Note that, while the chemical shift for Ile42 is within the error bar for Ile39 and Ile32, the dipolar splitting from the single site label for Ile42 of 13.8 kHz confirms this assignment.


                              
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TABLE 2   PISEMA results from multilabeled samples compared to single site labeled samples, and spectral interpretation of orientation

Normally, the sign of the dipolar splitting is considered to be ambiguous if Delta nu is less than half-maximum (see Eq. 2). Fig. 4, however, shows that these peptide samples undergo an axial motion about the bilayer normal. Consequently, when this peptide sample is oriented with the bilayer normal perpendicular to the field, a single sharp line is observed rather than a powder pattern (a powder pattern would be seen if axial motion had not occurred). This means that the motionally averaged 15N chemical shift and 15N-1H dipolar tensors are collinear. Because all of the sigma obs obtained are greater than their corresponding sigma iso values (Table 1), the Delta nu values are all positive (Tian et al., 1998). This substantially reduces the potential structural ambiguities in the following analysis. Note that such a motion about an axis parallel to B0 for all of our samples, except Fig. 4 B, has no effect on the NMR observables.



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FIGURE 4   1D spectra of oriented 15N-Leu43-labeled M2-TMP in DMPC with the bilayer normal parallel (a) and perpendicular (b) to the magnetic field direction. The isotropic frequency is ~95 ppm. If global rotation about the bilayer normal had not occurred, a broad powder pattern would be observed for the perpendicular orientation. Furthermore, note that this global rotation has no impact on the observed orientational constraints obtained from samples aligned with the bilayer normal parallel to the magnetic field direction. The signal at 25 ppm is likely to be natural abundance 15N from the choline headgroup. Because of the extensive dynamics of this choline site, the reproducibility of this intensity is poor, as it is very difficult to cross-polarize.

Based on these data, a variety of qualitative results can be identified. First, as previously noted (Kovacs and Cross, 1997; Kukol et al., 1999; Kovacs et al., 2000), the chemical shift and dipolar splitting values are not consistent with either a helix parallel to the bilayer normal or one perpendicular to it. Because the N-H axis and sigma 33 tensor elements are approximately parallel to the helix axis, helices that are parallel to the bilayer normal give rise to chemical shifts near sigma 33 and to Delta nu values that are nearly maximal. In contrast, helices that are perpendicular give rise to chemical shifts near sigma 11/sigma 22 and dipolar splittings that are at half-maximum and negative. The observed orientational constraints are variable and far from these extreme values; therefore, the helix has a considerable tilt.

Second, the substantial variation in dipolar splitting for nearly the same chemical shift (e.g., Ile42 versus Ile39) illustrates the noncollinearity of the static 15N chemical shift and 15N-1H dipolar tensors. The sigma 33 element is typically 17° from the N-H axis (Harbison et al., 1984; Oas et al., 1987; Mai et al., 1993). Third, the similarity of the orientational constraints for residues i and i + 7 (e.g., Ile32 and Ile39, Ile35 and Ile42) suggests considerable uniformity for this alpha -helix. Even differences such as 8.8 kHz versus 4.4 kHz in dipolar splitting suggest a difference as small as 8° in the orientation of the N-H axis.

To investigate the structural influence of the channel inhibitor amantadine, the PISEMA spectra of oriented 15N-Val27,28-labeled M2-TMP in hydrated DMPC bilayers with and without amantadine were acquired. For comparison, they are shown in Fig. 5 as overlaid spectra. The two splittings from Val27 and Val28 are well resolved in both chemical shift and dipolar dimensions. From conductivity measurements (Wang et al., 1993), the binding constant for amantadine has been established to be 3 × 106 M-1. Therefore, the addition of an equal molar amount of M2-TMP and amantadine should result in a predominance of the complex. It has been suggested that amantadine binds in the vicinity of the Val27,28 residues along the channel pore (Skehel, 1992; Hay, 1992; Wang et al., 1993). From our previous results and model (Kovacs and Cross, 1997), Val27 should line the pore of the channel, while Val28 is oriented toward an adjacent helix. The observed differences in the dipolar splittings and in the chemical shifts are within their error bars for these two preparations, as clearly seen in the dipolar and chemical shift slices through the PISEMA spectra. Consequently, there is no evidence for a significant structural or orientational change for either site upon amantadine binding. Therefore, no evidence is presented here for amantadine interacting at these sites and directly blocking the channel pore. However, the lack of a change in the backbone structure and orientation does not refute this possibility, because amantadine is likely to be interacting directly with the side chains and not the backbone.



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FIGURE 5   Overlay of PISEMA spectra of oriented 15N-Val27,28-labeled M2-TMP in hydrated DMPC lipid bilayers with (b) and without (a) amantadine bound. Dipolar and chemical shift slices are displayed for each resonance with and without amantadine bound. The negative contour artifacts near zero frequency in the dipolar dimension are deleted for clarity.

The improvement in spectral resolution shown in the chemical shift slices of the PISEMA spectra compared to the one-dimensional (1D) chemical shift spectra is nearly a factor of 2. Several different lipid environments and molar ratios have been tried to improve the 1D spectral resolution; however, little effect has been observed. PISEMA spectra of 15N-Val27-labeled M2-TMP in DOPC and DMPC bilayers are shown in Fig. 6. The slight difference in chemical shift and dipolar splitting possibly reflects a very small change in helix tilt due to the increased hydrophobic thickness of the DOPC bilayers. No difference, however, is seen in the linewidths, although they are substantially better than the 1D chemical shift spectra. Data from a T2 measurement on this sample in DOPC yields a T2 value of 750 µs, which suggests an intrinsic line width of 10 ppm (Fig. 7).



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FIGURE 6   Overlay of PISEMA spectra of oriented 15N-Val27-labeled M2-TMP in hydrated DMPC and DOPC lipid bilayers. Dipolar and chemical shift slices are presented for the resonances in the two lipid environments (1,3 for DMPC; 2,4 for DMPC). The inserted peak corresponds to that for DMPC, plotted at a lower contour level and showing clearly the diagonally distributed resonance broadening.



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FIGURE 7   T2 measurements of oriented 15N-Val27-labeled M2-TMP in DOPC bilayers at room temperature, obtained with cross-polarization and a variable delay Hahn echo.

The line width in 1D spectra or in a projection of the PISEMA spectra in the chemical shift dimension displays a resonance width of ~20 ppm. In the 2D PISEMA spectra the heterogeneous broadening appears along a diagonal axis through 0 kHz at sigma iso = 96 ppm. Heterogeneous broadening in these 2D spectra will be constrained within the powder pattern of an unoriented sample, and because of the global motion this powder pattern lies on these diagonal axes. Thus the improved resolution in the chemical shift slices of the 2D PISEMA spectra (Fig. 6) results from a minimization of the heterogeneous broadening.

In Table 2, the theta  angles derived from dipolar splittings are presented with the alpha PD and beta PD angles determined with Eqs. 1-3. In Fig. 8, the dipolar splitting (a) and chemical shift (b) are plotted as a function of orientation angles alpha PD, beta PD (ranging from 0 to 360° and 0 to 180° respectively), using the nu ||, alpha PNh, beta PNh values mentioned above and typical sigma 11, sigma 22, sigma 33 values from the powder pattern of 15N-Val27-labeled M2-TMP. Both Delta nu and sigma obs change more dramatically as a function of beta PD than as a function of alpha PD. For sigma obs, this reflects the small asymmetry parameter of the amide 15N CSA (typically eta  approx  0.2). If eta  equaled 0, sigma 11 would equal sigma 22 and alpha PD would have no effect on sigma obs. For Delta nu , it reflects the effect of both eta  and beta PNh. If beta PNh were also zero, then Delta nu essentially would be independent of alpha PD. Because beta PNh is significant (typically 17°), the influence of alpha PD on Delta nu generally is more pronounced. This partially explains why the five Ile sites, particularly Ile32, Ile39, and Ile42, could not be resolved by their chemical shifts alone, but were resolvable by their dipolar splittings.



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FIGURE 8   Orientation-dependent 15N-1H dipolar splitting (a) and chemical shift (b) as function of Euler angles alpha PD, beta PD in M2-TMP. The CSA tensor values used in b are from the 15N Val27-labeled M2-TMP powder sample. The dots represent all possible solutions from Eqs. 1-3 before the elimination of ambiguities for the site in M2-TMP.

Because there is a limited data set from which it is not yet possible to calculate a unique molecular structure, we will take advantage of the knowledge that this polypeptide is predominantly alpha -helical (Duff et al., 1992; Kovacs and Cross, 1997), that the helices have an average tilt of 37° ± 3° (Kovacs et al., 2000), and that the alpha -helical geometry is well defined (Quine, 1999; Kovacs et al., 2000). The ambiguity in theta  presented in Table 2 places the N-H orientation between 0° and 54.7° or 125.7° and 180°. For an alpha -helix the theta  values must all be in one range or the other, because the N-H bond makes an angle in the range of ±17° with respect to the helix axis, which in turn makes an angle of 37° with the magnetic field axis. Moreover, this same argument eliminates all beta PD values greater than 90°. Therefore, only a single sign ambiguity remains in alpha PD for each of the peptide planes, as shown in Table 3.


                              
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TABLE 3   Orientations and corresponding torsion angles at Ile32,33 and Val27,28

Many of the possible torsion angles calculated from Eqs. 4-7 can be eliminated based on steric hindrance information for Val and Ile residues in the alpha -helical region. Based on Ramachandran plots, beta -branched amino acids have a more limited alpha -helical region than do other amino acids. In this analysis, the allowed alpha -helical region is taken from Creighten (1984). In Table 3, torsion angles within these dimensions are in boldface; borderline values within 10° of this region are in plain type and outlying values are italicized. The most probable torsion angles, thus, are limited to (-83°, -60°) and (-136°, -60°) for Val27 and (-81°, -30°) for Ile32.

The transformation from one peptide plane to the next is defined by a (Phi , Psi ) torsion angle pair. From this transformation, the local helix axis direction vector for two adjacent peptide planes can be computed (Quine, 1999). Using alpha PD and beta PD to define the magnetic field direction vector B, the tilt angle, tau , can be obtained from the dot product of the helix axis direction vector and B. Comparing computed tilts with the accepted tilt of 37° ± 3° provides another way to filter the possible orientations of B. In Table 3, tilts within the range of 37° ± 10° are in boldface; borderline values (37° ± 15°) are in plain type; and outlying values are italicized. Tilt calculations for Val27 support the validity of the (Phi , Psi ) solutions and alpha PD, beta PD solutions while solving the chirality ambiguity. For Ile32, the unique torsion angle solution is supported and the chirality is solved.

Enhancement of spectral resolution has been achieved through 2D PISEMA of oriented M2-TMP samples. Information about 15N chemical shift and 15N-1H dipolar interactions can be analyzed to derive specific site orientations leading to specific peptide plane orientations. In turn, these orientations lead to the structural solution for backbone peptide phi , psi  torsion angles in the transmembrane domain of M2 transmembrane peptide. From this solution set, helix axis orientations consistent with those previously described were found. Furthermore, the M2-TMP structure at residues Val27,28 appears not to be distorted by amantadine binding.

    ACKNOWLEDGMENTS

The authors are indebted to the staff of National High Magnetic Field Laboratory NMR facility (A. Blue) and the staff of the Bioanalytical Synthesis and Service Laboratory (H. Hendricks and U. Goli) for their expertise and maintenance of the instruments essential for this effort.

This work has been supported by National Science Foundation (NSF) grant DMB 99-86036 to TAC and JRQ and by a NSF training grant supporting JKD (DBI 96-02233). This work was largely performed at the National High Magnetic Field Laboratory, supported by a NSF Cooperative Agreement (DMR-9527035) and the State of Florida.

    FOOTNOTES

Received for publication 20 December 1999 and in final form 11 April 2000.

Address reprint requests to Dr. Timothy A. Cross, National High Magnetic Field Laboratory, Florida State University, 1800 E. Paul Dirac Drive, Tallahassee, FL 32306-4005. Tel.: 850-644-0917; Fax: 850-644-1366; E-mail: cross{at}magnet.fsu.edu.


    REFERENCES
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
ANALYSIS OF 2D SPECTRA
RESULTS AND DISCUSSION
REFERENCES

Biophys J, August 2000, p. 767-775, Vol. 79, No. 2
© 2000 by the Biophysical Society   0006-3495/00/08/767/09  $2.00



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