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Biophys J, June 2000, p. 3195-3207, Vol. 78, No. 6



and
*Division of Molecular Structure, National Institute for Medical
Research, London NW7 1AA, United Kingdom, and
Section of
Molecular and Cellular Biology and
Department of Food
Science and Technology, University of California, Davis, California
95616 USA
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ABSTRACT |
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The 1H- and 13C-NMR spectra of
antifreeze glycoprotein fractions 1-5 from Antarctic cod have been
assigned, and the dynamics have been measured using 13C
relaxation at two temperatures. The chemical shifts and absence of
non-sequential 1H-1H NOEs are inconsistent with
a folded, compact structure. 13C relaxation measurements
show that the protein has no significant long-range order, and that the
local correlation times are adequately described by a random coil
model. Hydroxyl protons of the sugar residues were observed at low
temperature, and the presence of exchange-mediated ROEs to the sugar
indicate extensive hydration. The conformational properties of AFGP1-5
are compared with those of the previously examined 14-mer analog AFGP8,
which contains proline residues in place of some alanine residues
(Lane, A. N., L. M. Hays, R. E. Feeney, L. M. Crowe, and J. H. Crowe. 1998. Protein Sci.
7:1555-1563). The infrared (IR) spectra of AFGP8 and AFGP1-5 in the
amide I region are quite different. The presence of a wide distribution
of backbone torsion angles in AFGP1-5 leads to a rich spectrum of
frequencies in the IR spectrum, as interconversion among conformational
states is slow on the IR frequency time scale. However, these
transitions are fast on the NMR chemical shift time scales. The
restricted motions for AFGP8 may imply a narrower distribution of
possible ø,
angles, as is observed in the IR spectrum. This has
significance for attempts to quantify secondary structures of proteins
by IR in the presence of extensive loops.
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INTRODUCTION |
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To prevent the formation of large ice crystals in
blood and tissue at low temperatures, many species, including polar
fish and insects, manufacture high concentrations of proteins that inhibit the growth of ice crystals, lowering the freezing point, with
only a small effect on the melting temperature. This non-colligative property is distinct from equilibrium freezing point depression, and
can be observed as hysteresis in ice formation in cooling/warming cycles. This is possibly due to binding on one or more ice facet, preventing further growth (for a review, see Yeh and Feeney, 1996
).
Several antifreeze proteins have been isolated and described, and they
fall into four distinct structural classes (Davies and Sykes, 1997
).
All of these proteins form ordered, compact structures similar to other
globular proteins. Although there are numerous theories of their
action, there is little consensus as to the mechanism of ice binding of
these diverse proteins. In Antarctic fish species, the blood and
tissues contains high concentrations of a number of related antifreeze
glycoproteins. These proteins are based on a repeated sequence of AAT*,
where T* is threonine with the disaccharide Gal-1, 3GalNAc bonded to the O
of the threonine residue. The various fractions that have been
described differ mainly in the number of repeats, though fraction 8 in
particular is not only short (14-16 residues), but also contains some
of the alanine residues substituted by proline. These short
glycopeptides are the most abundant, but on a weight basis are less
potent in preventing ice crystallization.
Recently we described the conformational preferences and local dynamics
of AFGP8 (Lane et al., 1998
). According to the NMR spectra, there was
no significant long-range order, and substantial segmental flexibility.
However, for the Thr-Pro-Ala tripeptides, evidence was obtained of some
local order forming a small segment of secondary structure reminiscent
of the polyproline helix (Lane et al., 1998
). The high degree of
flexibility of these peptides suggests that the mechanism of action may
be fundamentally different from the non-glycosylated AFPs (Yeh and
Feeney, 1996
; Davies and Sykes, 1997
; Harding et al., 1999
; Haymet et
al., 1999
), as there is no fixed long-range structure present. To
provide further information on the conformational preferences of these
glycoproteins, we have investigated the solution properties of
AFGP1-5, which contain no proline residues, and vary in length from 60 to 120 residues. We have assigned the 1H- and
13C-NMR spectra of AFGP1-5, and determined its
dynamic properties by 13C-NMR relaxation
measurements at two temperatures. We have also used FTIR spectroscopy
to provide further information about the local backbone conformation of
both AFGP1-5 and AFGP8. The amide I region of the spectrum
(~1600-1700 cm
1) reports on the peptide
carbonyl stretching frequency, which is sensitive to the local
conformation (Byler and Susi, 1986
; Dong et al., 1990
; Pestrelski et
al., 1991
; Surewicz et al., 1993
). To reconcile the NMR and FTIR
results, we invoke a dynamic model that incorporates the different time
scales probed by these methods. In addition, results from MD
calculations on short peptide sequences related to those present in
AFGPs show that local backbone fluctuations of the appropriate
magnitude do occur on the correct general time scale.
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MATERIALS AND METHODS |
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Materials
AFGP1-5 was isolated from the Antarctic fish Trematomus
borchgrevinki and purified as previously described (DeVries et
al., 1970
). This preparation contains five homologs of the repeating tripeptide AAT* that differ in the number of repeats n.
AFGP3-5 account for >80% of the total, and vary from 11 to 22 kDa. (DeVries et al., 1970
). Integration of signals in both
1H and 13C 1D-NMR spectra
acquired with long relaxation delays showed that the relative
concentrations of each sugar and amino acid residue were equal to
within better than 10%.
For NMR analysis, the AFGP1-5 sample was dissolved in d3-acetate buffer pD* = 5 at 17 mg/ml. For FTIR measurements, AFGP1-5 and AFGP8 were dissolved in 10 mM phosphate buffer pH 7.4 at 50 mg/ml.
PolyPro (1-10 kDa) was purchased from Sigma Chemical Co. (St. Louis, MO) and used without further purification. Aprotinin, hen egg white lysozyme, and bovine carbonic anhydrase were purchased from Sigma Chemical Co. (Poole, Dorset, UK). For NMR they were dissolved in a deuterated buffer containing 20 mM sodium phosphate and 100 mM KCl, pH 7.
The peptides NAcAATAA and NAcAAPAA were synthesized using fmoc chemistry on an Applied Biosystems 430A peptide synthesizer and purified by reverse-phase HPLC on a preparative C18 column using a 1% acetonitrile-water gradient. The composition and purity were verified by NMR spectroscopy.
Methods
NMR spectroscopy
13C-NMR spectra were recorded in D2O at 9.4 T on a Bruker AM400 as previously described (Lane et al., 1998
|
(1) |
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(2) |
|
(3) |
= 3.56 Å6
ns
1,
= 22.22 10
6, 
is the chemical shift anisotropy
(CSA) in ppm (~25 ppm), r is the C-H bond length (1.095 Å) (Nicholson et al., 1996
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(4) |
0 is the rotational correlation
time of the molecules,
e is the effective
correlation time for fast internal motion, and
S2 is the generalized order parameter.
Calculations were carried out using just the NOE and
R1 values and with
R1,
R2, and NOE. For each C-H vector, the
value of
0 was varied from 2 to 10 ns in steps
of 0.04 ns, S2 in steps of 0.02, and
e in steps of 5 ps, i.e., at least 20 million
calculations at each temperature. We found that for some sites, quite
poor fits were obtained unless Rx was
non-zero. An estimate of Rx was
obtained from the difference between the observed value of
R2, and that calculated from the value
calculated from the best-fit
0 and
S2 found using the
R1 and NOE data only.
The translational diffusion coefficient was measured at 14.1 T in
D2O at 30°C and 10°C using the pulsed field
gradient stimulated echo method (Tanner, 1970
|
(5) |
is the gyromagnetic ratio, t is the
gradient echo time, and
is the length of the gradient pulse. The
linearity of Gz was checked using
Gd3+-doped D2O, and was
found be acceptable using a 16 mm solution column in 5-mm Shigemi
tubes. The B1 field gradient over this length is
essentially linear. HOD and test proteins were used to verify the
accuracy of the gradient strengths. The diffusion coefficients were
compared with those of the standard proteins aprotinin
(Mr = 6500), hen egg white lysozyme
(Mr = 14200), and carbonic anhydrase
(Mr = 29,000), all recorded at 10 mg/ml.
Infrared spectroscopy
FTIR spectra were recorded on a Perkin-Elmer FTIR model 2000 spectrometer (Norwalk, CT), assisted by a microcomputer running Perkin-Elmer's Spectrum software. The sample compartment was flushed with dry air from a Whatman model 75-62 generator (Whatman Inc., Haverhill, MA), and the spectra were recorded at a relative humidity of 0%, and at room temperature (~23°C). Samples were introduced between CaF2 windows separated with a 6-µm Mylar spacer. Single-beam spectra of buffer and sample were recorded in the same cell to guarantee a constant path length; 256 scans were co-added for each spectrum, with a resolution of 4 cm
1. The difference between the sample and
buffer spectra was calculated such that the region around 2100 cm
1 (corresponding to a water band) was flat.
The spectrum of water vapor was recorded using an empty sample chamber
exposed to ambient air. The water vapor spectrum was then subtracted
from the sample spectrum with a weighting such that the second
derivative spectrum in the region 1900-1700
cm
1 was flattened. The corrected spectrum was
finally smoothed using a nine-point Savitzky-Golay function. This had
very little effect on the spectrum owing to the high signal-to-noise
ratio of the original data. Comparable results were obtained whether
smoothing was applied or not. The amide I region (1600-1700
cm
1) of the spectrum was baseline-flattened
using the Spectrum software. This routine produces a spline curve under
the spectrum, which is then subtracted, producing a flat baseline. The
resulting spectrum was then exported to Sigmaplot v 2.0 and Peak Fit v
4.0 (Jandel Scientific Corp, San Rafael, CA) for further analysis. The
resolution-enhanced spectra were analyzed as a sum of Gaussian peaks
having different bandwidths. The frequencies are diagnostic of
structure type, and the relative peak areas provide an estimate of the
relative concentrations of each structural type present. The entire
fitting procedure was verified by comparing spectra of
-chymotrypsinogen with published values. We obtained results almost
identical to those reported by Allison et al. (1996)
angles and that these are responsible
for the different observed frequencies (see below).
MD calculations
Molecular dynamics simulations were run for AATAA and AAPAA both in vacuo and in a water bath at 300 K using either the CFF91 or Amber force fields using Discover98 (Molecular Simulations Inc., San Diego, CA). For the simulations in vacuo, a distance-dependent dielectric constant of
= 4r was used. The peptide was
generated as an extended chain, with an N-terminal ammonium and a
C-terminal carboxylate group (corresponding to neutral pH),
energy-minimized (100 steps of conjugate gradients), and followed by 1 ps equilibration free dynamics at 300 K. The system was then further
allowed to evolve for 500 ps under the same conditions. For simulations
in water, the same extended chain was energy minimized in a box of water molecules. In these calculations the dielectric constant was set
to unity. The system was then equilibrated over 10 ps dynamics at 300 K, followed by 400 ps free dynamics. Coordinate files were stored every
100 fs. Torsion angles ø and
were analyzed using the graphing
functions within InsightII (Molecular Simulations).
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RESULTS |
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NMR assignments of AFGP1-5
Protons were assigned to spin type using DQF-COSY in
D2O (Fig. 1) and
TOCSY (Fig. 2 A) and NOESY in
H2O (Fig. 2 B), all at 10°C. Only
three kinds of amino acid resonances were observed, corresponding to
Thr, and two Ala residues. This is consistent with a repeated unit of
(AAT)n. All of the protons could be assigned to
residue type. In addition, all of the sugar protons could be assigned
to
-Gal or GalNAc (Table 1). Only one
set of resonances for the disaccharides was observed. This is again
consistent with a simple repeated unit (AAT*)n.
13C assignments were obtained for all
protiated carbons (Table 1) using the
13C-1H HSQC experiment
(Fig. 3). The improved resolution of the
spectra allowed unambiguous and complete assignments of both sugar
residues, unlike previously for AFGP8 where the four GalNAc residues
were non-equivalent (Lane et al., 1998
; Dill et al., 1992
). The shifts in Table 2 revise some previous
assignments of comparable fragments (Homans et al., 1985
). The 1D
13C and HSQC spectra (Fig. 3) showed only a
single set of resonances for the (AAT*) repeating unit. All of the
13C resonances were narrow compared with
linewidths predicted for a 20-30-kDa globular protein, indicating the
presence of significant internal mobility in the molecule. Furthermore,
there is substantial variation in the 13C
linewidths, especially comparing the carbons atoms of the amino acid
backbone and the GalNAc with the carbon atoms of
-Gal, which suggests differences in the mobility of these residues.
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1H- and 13C-NMR assignments
were also obtained for the pentapeptides, which showed
1H and 13C chemical shifts
very close to those observed for random coil peptides (Wishart et al.,
1995
). No significant non-sequential NOEs were observed, indicating
that there is no stable secondary structure present in these peptides.
NMR dynamics
To characterize the internal dynamics of the glycoprotein in
greater detail, we have measured 13C-NMR
relaxation rate constants (R1,
R2, and NOE) at two temperatures (Table 2). The large
{1H}-13C-NOEs and
relatively small R2 values imply
substantial motion on the sub-nanosecond time scale. The substantial
variation in R2 values is also evident
in the linewidths in 1D 13C spectra (Fig. 3); the
linewidths of the
-Gal carbon resonances are substantially narrower
than those in the NAcGal residues or the C
of the amino acids.
The relaxation data were quantitatively analyzed with the Lipari-Szabo
(1982)
method to give values for
0,
S2, and
e for
each C-H vector (Table 2) as described for AFGP8 (Lane et al., 1998
).
The R2 values of some residues were
relatively poorly determined at 10°C as the decay was so fast,
leading to a relatively large residual error. However, the fast decay
is consistent with the independently observed linewidths measured from
1D 13C-NMR spectra (cf. Fig. 3). The
three-parameter fit gave very small residuals (<1%), implying that
the simple model adequately accounts for the relaxation data. However,
for a few sites, especially associated with the NAc-galactosamine
residue, the fit was considerably poorer, and the correlation time
estimated from R1 and the NOE alone
was smaller than that implied by the large value of
R2. This could be modeled as an
exchange contribution (Table 2). Such an exchange contribution to
relaxation has often been observed in 15N
relaxation of proteins, and is usually attributed to a slow conformational equilibrium (Clore et al., 1990
; Szyperski et al., 1993
;
Marsden et al., 1998
). It is notable that the exchange contribution is
larger at 10°C than at 30°C, which is in accord with the linewidths at the two temperatures. This suggests that the exchange contribution is fast compared with the chemical shift difference, and that at lower
temperatures, the system approaches the intermediate exchange regime as
the rate constant decreases.
The mean value of
0 was 4.8 ± 0.9 ns
(range = 3-6.8 ns) at 10°C and 3.5 ± 0.8 ns (range = 2.3-4.7 ns) at 30°C (Table 2). For comparison, AFGP8 gave
0 = 3.6 ± 1.8 ns at 5°C when analyzed in the same way using the previously reported relaxation data (Lane et
al., 1998
). Thus, the effective correlation time of the large AFGP1-5
protein is about the same at 30°C as that of AFGP8 at 5°C. The
ratio of the site correlation time at 283 K to that at 303 K is
1.6 ± 0.3, which is comparable to the that expected from the
temperature dependence of the viscosity of D2O
(Wilbur et al., 1976
). As expected, the order parameters for the methyl carbons are much smaller than for the other carbons owing to free rotation of the methyl group
(S2(methyl) = 0.11). The order
parameters for the C6 positions of the two sugars are intermediate in
size, indicating substantial freedom of motion of the
CH2OH group. The order parameters for C-H groups
are slightly larger at 10°C than at 30°C. They also can be
ranked in terms of peptide backbone (Ala and Thr) and the two sugars,
such that S2(amino acid residues) > S2(NAc-Gal) > S2(Gal). This reflects the relative
distance of the
-Gal residues from the backbone of the molecule, and
shows that these sugars are highly mobile with respect to the remainder
of the molecule. In addition, the C
generally have higher order
parameters than the side chains.
The range of
0 observed at either temperature
is not consistent with a spherical rotor. However, the assumption of a
rod-like structure (or other symmetric top rotor model) leads to
physically implausible axial ratios; a rigid anisotropic rotor is an
inappropriate model. In fact, the relatively low order parameters at
the backbone sites (C
H) indicate the presence of substantial
internal mobility.
The 13C relaxation data show that AFGP1-5 is a
rather flexible molecule, such that local segmental correlation times
are comparable to those observed in the much shorter AFGP8 (Lane et
al., 1998
). The short effective correlation time is consistent with a
persistence length of a few amino acid residues (Schwalbe et al.,
1997
). However, the presence of a disaccharide every third residue
should make the persistence length comparable to the length of the
repeating unit, namely AAT*. In addition, the sugar residues
(especially
-Gal) must be fully exposed to solvent, and
essentially unconstrained. The simple picture of the dynamics of
the glycoprotein is that of essentially a random coil showing
large-scale segmental flexibility on the sub and nanosecond time scale
(Bush and Feeney, 1986
). The presence of only a few sequential,
short-range NOEs for the amino acids is also consistent with the
absence of substantial long-range order.
The value of 3J
measured or the Thr residue was 4-5 Hz, which is larger than expected
for either g+ or
g
rotamers
(3J < 4 Hz) and much smaller
than for the trans rotamer
(3J > 12 Hz). This indicates
that the population of the trans rotamer is relatively
small. This coupling constant is similar to that observed in the
peptide NAcAATAA.
Translational diffusion
The translational diffusion coefficient of AFGP1-5 was measured
in D2O at 10°C and 30°C, under the same
conditions as the 13C-NMR relaxation
measurements. Fig. 4 shows the decay
data at the two temperatures, fitted to a single Gaussian. A slight
improvement in the fit was obtained with a sum of two Gaussians, but
the amplitude of the second Gaussian was relatively small, and the
diffusion coefficient was not well determined. It is possible that this second component corresponds to some of the minor species present in
the AFGP1-5 mixture. The translational diffusion coefficients were
determined as 5.1 · 10
7
cm2 s
1 at 30°C and
2.71 · 10
7 cm2
s
1 at 10°C. Normalization to water at 20°C
gives D20,w = 4.8 and 4.6 10
7 cm2
s
1, respectively. Thus, the diffusion
coefficient follows the expected dependence on solvent temperature (and
viscosity). This normalized value is similar to that previously
reported for fraction 4 (Ahmed et al., 1975
) and for fractions 1-5
determined by quasi-elastic light scattering (Wilson and deVries,
1994
). The normalized value is ~60% of that determined for the
globular protein carbonic anhydrase (Mr = 30 kDa). As diffusion
coefficients scale as
Mr
1/3, this
implies a particle that generates much more friction than a
globular protein, and is consistent with an extended molecule that is
fully solvated. Thus, the rotational and translational diffusion data
indicate an unstructured, segmentally flexible molecule.
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Interactions with water
At 5°C, two resonances at 5.75 and 5.9 ppm were observed in
H2O (Fig. 5
A) that do not appear in spectra recorded in
D2O. Thus, these protons must be readily
exchangeable with solvent hydrogens, such as NH or OH. As all of the NH
have been accounted for at much lower field, these resonances are
likely to arise from carbohydrate hydroxyls (Poppe and van Halbeek,
1994
; Leroy et al., 1985
). One of these resonances appears as a
doublet. This shows crosspeaks in both TOCSY (Fig. 2 A) and
ROESY (Fig. 5 B) with the H2/3 of
-Gal, whereas the
broader peak shows an interaction with the C6 of
-Gal and/or
-GalNAc. These resonances belong to sugar hydroxyls, and plausibly
are those on the C2/C3 of
-Gal and the C6, respectively.
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The ROESY spectrum (and NOESY) also shows crosspeaks between the water
resonance, and protons in the two sugar moieties. Most of the sugar
carbons (not the anomeric) have a hydroxyl group. As only two hydroxyl
protons have been accounted for by the downfield-shifted resonances, it
is probable that the remaining hydroxyl protons are coincident with the
water resonance. These additional crosspeaks therefore represent ROEs
between hydroxyl protons and the proton attached to the same carbon
atom. These ROEs are likely also to be mediated by exchange with water
protons (Gyi et al., 1998
).
FTIR spectroscopy of AFGP1-5 and AFGP8
FTIR provides information about conformation of the peptide
backbone via the frequency of the amide I band. The IR spectra of AFGP8
and AFGP1-5 are quite different (Fig.
6); the distribution of resolvable bands
is more even across the frequency range for AFGP8 than for AFGP1-5.
Independent of the precise assignment of the observed IR bands,
AFGP1-5 is significantly different from AFGP8. The frequencies and
relative peak areas are given in Table 3. The different C==O stretch
frequencies have been associated with different types of secondary
structure (Dong et al., 1990
, 1992
, 1994
; Pestrelski et al. 1991
),
which may mean that the amide I frequency reflects the local ø,
angles, either directly through hybridization, by affecting hydrogen
bonding to the solvent, or indirect local electrostatic influences of
the orientation of the amino acid with respect to the plane of the
peptide bond. The precise assignment of bands to secondary structure
types, however, remains controversial (Surewicz et al., 1993
).
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In AFGP8 there are only 13 peptide bonds, including two from proline.
It is rather unlikely that both helical and extended strand
conformations could be simultaneously present in such a short peptide.
The alternative would be that at any one moment a substantial fraction
of molecules would be essentially all helix, and a similar fraction of
molecules would be in an extended conformation. Similarly, for
AFGP1-5, the IR data indicate substantial amounts of
-helix and
-sheet, yet the NMR data show that such structures must be present
in low amounts.
CD and NMR experiments have indicated the presence of polyproline type
II helix in AFGP8 (Bush et al., 1984
; Lane et al., 1998
). With FTIR
analysis, a pure polyproline sample (50 mg/ml) has over 80% of the
amide region centered on 1618 ± 2 cm
1
(Hays, 1998
). Most FTIR users consider this wavenumber to be outside of
the amide I region, and it is usually defined as the vibrational
frequency of side chains (Chirgadze et al., 1975
). However, Ala, Thr,
and Pro do not absorb in this region. This region may also include
intermolecular
-sheets due to protein aggregation (for review see
Dong et al., 1995
). However, the IR spectrum of polyproline lacks the
1685 cm
1 peak that is also present in protein
aggregates. The NMR spectra also show no evidence of significant
aggregation. In the AFGP8 spectra, a substantial peak was observed at
1620 cm
1, whereas for AFGP1-5, there was a
much lower intensity at this wavenumber (Table 3). However, it is not
obvious that the IR frequency of the polyPro II conformation will be
the same for non-Pro residues. The band at 1645-1650
cm
1 has been assigned to an unordered
conformation (Table 3). However, it has been suggested, based on
ultraviolet circular dichroism and vibrational circular dichroism, that
this frequency corresponds at least in part to the polyPro II
conformation (Woody, 1992
). This suggests that the two classes of
antifreeze glycoproteins differ mainly in the distribution of possible
conformers, which we expect to reflect the influence of the Pro
residues on the local conformation in AFGP8 (Lane et al., 1998
).
Because of the possible distortions of band areas introduced by taking
the second derivative, and because the absorption coefficients for the
different conformers are not known to be the same, the actual
populations cannot be accurately calculated from the IR data.
NMR spectra of the two pentapeptides NAcAATAA and NAcAAPAA show
dynamically unstructured peptides (data not shown). The FTIR spectra of
the same peptides show numerous bands ranging from 1610 to 1680 cm
1, analogously to those observed in the
AFGPs, and the pattern of observed bands is significantly different for
the Pro- and Thr-containing peptides (Fig. 6). This clearly shows that
these short peptides populate the allowed regions of Ramachandran
space, and interconvert slowly compared with the difference between
their respective vibrational frequencies. The similarity to the FTIR spectra of the AFGPs indicates that the carbohydrate is not responsible for the slow interconversion rates between the various conformations.
MD calculations
From molecular dynamics simulations in water it is possible to
assess the mobility of protein backbone atoms on the sub-nanosecond times scale and compare them with experimental NMR data. Typically, for
folded proteins, the order parameters of NH and C
H vectors are in
the range 0.8-0.9 in defined secondary structure elements, and the
local correlation times are usually all very similar (Clore et al.,
1990
; Kördel et al., 1992
; Lüginbuhl et al., 1997
;
Nicholson et al., 1996
). Unstructured portions of the protein,
especially at chain termini, generally show a decreased local
correlation time and lower order parameters (van Heijenoort et al.,
1998
; Alexandrovich et al., 1999
). These general results are reproduced by MD simulations (J. O. Trent, S. J. Smerdon, and A. N. Lane, unpublished data). Preliminary calculations in both water (400 ps) and in vacuo (1-5 ns) show that although the backbone torsions ø and
oscillate around mean values with an rmsd of ~30°,
transitions between different regions of Ramachandran space are
comparatively rare (~1-3 times every nanosecond), and not obviously
correlated between neighboring dipeptide units. This is slow on the
infrared time scale, such that separate bands for extended, turn, and
helix would give rise to separate bands. It is, however, fast on the time scale of NMR coupling constants and chemical shifts, which would
therefore not give rise to separate lines, and coupling constants
should reflect averaged values. The high-frequency fluctuations of C
and C
are fast on the NMR relaxation time scale, and would be
expected to give NMR order parameters substantially less than unity.
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DISCUSSION |
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According to the NMR data, AFGP8 has no long-range order, but
displays significant local order (Lane et al., 1998
). In contrast, AFGP1-5 is a dynamically disordered molecule that shows neither significant long-range nor short-range order on a time scale from 100 ps to milliseconds. At face value the IR data indicate that although
the AFGP fractions are different at the backbone level, they both
contain substantial amounts of secondary structure elements. The IR
results can be rationalized with the NMR data by considering the time
scales probed by the two methods. The spread of wavenumbers for
different regions of Ramachandran space is ~60
cm
1 centered at 1650 cm
1 (Table 1), which is equivalent to a
characteristic time scale of >1012
s
1. Interconversion between conformational
states on a slower time scale leads to individual peaks corresponding
to all conformations that are present in an ensemble. It has recently
been shown by Raman spectroscopy that unordered polypeptides show
several vibration frequencies, which was interpreted in terms of an
ensemble of conformation states (Sane et al., 1999
). This is supported
by molecular dynamics simulations of Ala-8 peptides in water, which showed substantial high-frequency fluctuations (a few picoseconds) about ø and
, and rarer transitions between the
R,
L
, and polyPro
II regions of Ramachandran space (Sreerama and Woody, 1999
). In
contrast, the same interconversion rates would be fast on the NMR
chemical shift time scale (~103
s
1), and therefore the NMR resonances appear at
a single averaged frequency. This is similar to the observed behavior
of short hormonal peptides in solution (Feeney, 1977
). In addition to
the relatively slow rotational motions of groups of residues (~5-8)
on the 3-7-ns time scale, there are higher-frequency motions (tens to
hundreds of picoseconds) of substantial amplitudes, as shown by the NMR order parameters. Values of S2 ~0.5
are roughly equivalent to angular fluctuations of ~35-40° on the
sub-nanosecond time scale. Hence, there are large amplitude motions of
the C
-H vectors that require substantial changes in the ø,
angles, presumably within the allowed regions of Ramachandran space.
There is an ensemble of conformations interconverting rapidly on the
NMR time scale, and slowly on the IR time scale. Hence, in IR even a
random coil will show different bands corresponding to an ensemble of
molecules that occupy different regions of Ramachandran space, whereas
in NMR there will be a single resonance for each proton or carbon atom.
The simplest interpretation of the IR and NMR data together is that the
molecules are flexible, such that each dipeptide unit occupies several
regions of Ramachandran space for various amounts of time. Because ø in proline is essentially fixed by the covalent structure,
proline-containing dipeptides have fewer degrees of freedom than other
dipeptides. This can be expected to restrict the conformational space
accessible to the proline-containing AFGP8 compared with the
proline-free AFGP1-5. For AFGP1-5, a wide variety of backbone
torsions are significantly populated, giving rise to numerous bands in
the IR spectrum, whereas in AFGP8 the degree of Ramachandran space that
is accessed is lower than in the proline-free AFGP1-5, giving rise to
a narrower distribution of IR bands having significant intensity
(>15-20%). This is supported by the NMR and FTIR spectra of the
pentapeptides. These findings have implications for the analysis of
secondary structures of proteins by IR, as the so-called unordered
frequency does not account for all of the non-secondary structure
peptides. The helical, turn, and extended segments can be
overestimated, which is likely to be more of a problem in partially
folded proteins. Even in denatured or unstructured proteins such as
casein, the observation of a very broad IR band (Byler and Susi,
1986
) does not necessarily imply a single conformation, but rather an
unresolved envelope of conformers.
In conclusion, the combination of NMR, IR, and MD is a powerful means of obtaining detailed information about the conformational properties and dynamics of macromolecular systems. It is becoming increasingly clear that biological activity is not restricted to compact semi-rigid proteins. However, many of the methods of analysis and the philosophical underpinnings of protein action are couched in terms of single conformations or simple conformational changes. The activity of highly flexible molecules that may or may not fold into a unique conformation on binding to a "receptor" poses a challenge for conformational analysis. Not least is the need to describe ensemble properties and the dynamic of interconversion within the ensemble. It is usually not possible to obtain sufficient experimental data to determine the conformations present in such an ensemble. However, the combination of experimental methods and molecular dynamics may be able to provide a description of the general conformational properties and the extent to which conformational space is populated, albeit in a non-unique manner.
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ACKNOWLEDGMENTS |
|---|
We thank Dr. T. A. Frenkiel for valuable discussions.
This work was supported by the Medical Research Council of the UK and by National Institutes of Health Grant R01HL57810-01.
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FOOTNOTES |
|---|
Received for publication 15 November 1999 and in final form 24 February 2000.
Address reprint requests to Andrew N. Lane, Division of Molecular Structure, National Institute for Medical Research, The Ridgeway, Mill Hill, London NW7 1AA, UK. Tel.: 44-208-959-3666; Fax: 44-208-906-4477; E-mail: alane{at}nimr.mrc.ac.uk.
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Abbreviations used |
|---|
Abbreviations used: AFP, antifreeze proteins; AFGP, antifreeze glycoproteins; DQFCOSY, double quantum filtered correlation spectroscopy; FTIR, Fourier transform infrared spectroscopy; HSQC, heteronuclear single quantum coherence; TOCSY, total correlation spectroscopy.
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