Originally published as Biophys J. BioFAST on May 4, 2007.
doi:10.1529/biophysj.107.103879
Biophysical Journal 93:1008-1020 (2007)
© 2007 The Biophysical Society
Toward Protein Structure In Situ: Comparison of Two Bifunctional Rhodamine Adducts of Troponin C
Olivier Julien *,
Yin-Biao Sun
,
Andrea C. Knowles
,
Birgit D. Brandmeier
,
Robert E. Dale
,
David R. Trentham
,
John E. T. Corrie
,
Brian D. Sykes * and
Malcolm Irving
* Canadian Institutes of Health Research Group in Protein Structure and Function, Department of Biochemistry, University of Alberta, Edmonton, Canada;
Randall Division of Cell and Molecular Biophysics, King's College London, London, United Kingdom; and
MRC National Institute for Medical Research, London, United Kingdom
Correspondence: Address reprint requests to Malcolm Irving, Randall Division of Cell and Molecular Biophysics, King's College London, London SE1 1UL, United Kingdom. Tel.: 44-207-848-6431; Email: malcolm.irving{at}kcl.ac.uk.
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ABSTRACT
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As part of a program to develop methods for determining protein structure in situ, sTnC was labeled with a bifunctional rhodamine (BR or BSR), cross-linking residues 56 and 63 of its C-helix. NMR spectroscopy of the N-terminal domain of BSR-labeled sTnC in complex with Ca2+ and the troponin I switch peptide (residues 115131) showed that BSR labeling does not significantly affect the secondary structure of the protein or its dynamics in solution. BR-labeling was previously shown to have no effect on the solution structure of this complex. Isometric force generation in isolated demembranated fibers from rabbit psoas muscle into which BR- or BSR-labeled sTnC had been exchanged showed reduced Ca2+-sensitivity, and this effect was larger with the BSR label. The orientation of rhodamine dipoles with respect to the fiber axis was determined by polarized fluorescence. The mean orientations of the BR and BSR dipoles were almost identical in relaxed muscle, suggesting that both probes accurately report the orientation of the C-helix to which they are attached. The BSR dipole had smaller orientational dispersion, consistent with less flexible linkers between the rhodamine dipole and cysteine-reactive groups.
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INTRODUCTION
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Fluorescence polarization data from the bifunctional carborhodamine 1 (Fig. 1 left) attached to two suitably located cysteine residues on muscle proteins (myosin regulatory light chain and TnC) have been used to study orientations and/or dynamics of the labeled proteins in their native environment in a muscle fiber (1
4
). The same rhodamine has been used in single-molecule fluorescence polarization and imaging measurements when attached to one of the calmodulin light chains of myosin V (5
,6
). Evidence obtained in those studies suggests that the two-site attachment of the BR probe does not alter the native structure or function of the protein. This was supported by an NMR structural study of the N-lobe of the E56C/E63C mutant of sNTnC labeled with BR-I2 on cysteine residues at positions 56 and 63 of its C-helix, which showed that the labeled protein maintained its native structure (7
). In addition, physiological experiments that imply conservation of function are described in several of the above articles. There is thus a body of evidence to suggest that this approach is a reliable and robust way to determine protein and protein domain orientation and motion in situ.
BR-I2 was deliberately synthesized with flexible arms between the reactive iodoacetamido groups and the fluorophore system (8
) in the expectation that it would be able to span cysteines separated over a range of distances. In practice, it has been possible with this reagent to cross-link cysteines located along
-helices, between two helices, and between a helix and a random coil, with separations between their paired Cß atoms in the range 1.01.6 nm (1
). A second, commercially available bifunctional sulforhodamine reagent 2 (Fig. 1 right) has been used in related fluorescence polarization and single-molecule studies on kinesin (9
,10
). The ring structure of the linkers between the iodoacetamido groups and the fluorophore in BSR-I2 is more rigid than the open-chain linkers in BR-I2, and it might be expected that BSR-I2 would be less able to accommodate different spacings of the two cysteine residues. In practice, the Cß distances between cysteines linked by the reagent do span a similar range of distances (1.11.6 nm) to those spanned by BR-I2, but in no case yet described have these pairs of linked residues both been located on the same
-helix. Thus, the residues are either between two helices (N64C and V71C, 1.1 nm), between the end of a ß-sheet and a random coil (169C (a native cysteine) and V174C, 1.5 nm), or between two ß-sheets connected by a random coil (T330C and V335C, 1.5 nm) (10
). Sequence numbers and distances are from the rat kinesin structure (pdb 2kin). The 169174 Cß distance in human kinesin (pdb 1bg2) is slightly longer (1.6 nm) (9
).
To date, there have been no published studies comparing the efficacy of BSR-I2 and BR-I2 for determining the in situ orientation of the vector joining the same pair of target cysteines. The ideal bifunctional probe reagent for this type of in situ structural measurement would have three key properties: 1), efficient cross-linking of a suitably placed pair of cysteine residues in a target protein domain; 2), no alteration of the native structure and function of the target domain as a result of such cross-linking; and 3), accurate reporting of the in situ orientation of the vector joining the two cysteines to which the probe is attached. These properties may be to some extent mutually exclusive. For example, flexible linkers between probe and protein may be desirable with respect to the first two properties, but detrimental to the third. Moreover, the third property cannot in general be assessed directly in the absence of alternative techniques that can determine the orientation of the cysteine-cysteine vector in situ. In these circumstances, the most powerful available approach is to compare the orientations of different probes attached to the same pair of cysteines and the structural and functional properties of the different labeled proteins.
In this work, we labeled the C-helix of sNTnC separately with BR-I2 or BSR-I2 via its E56C/E63C mutant, in which the ß-carbon atoms of the two cysteines are
1.1 nm apart. We used a kinetic competition experiment to determine the relative chemical reactivity of the two reagents. We studied BSR-labeled sNTnC in complex with Ca2+ and TnI115131 by NMR for comparison with the published structure of the corresponding BR-labeled complex (7
). We labeled the same C-helix residues of whole sTnC with either BR-I2 or BSR-I2, exchanged the labeled proteins into permeabilized muscle fibers, and determined the effect of each probe on active force generation and its regulation by Ca2+. Finally, we measured the in situ orientation and mobility of both the BR and BSR probes, using a novel analytic approach to determine these parameters from the polarized fluorescence intensities.
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MATERIALS AND METHODS
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Chemicals and biochemicals
BR-I2 was prepared as described previously (8
) and BSR-I2 was purchased from Molecular Probes (Eugene, OR). The double-cysteine (E56C and E63C) mutant sNTnC, isotopically labeled with 13C and 15N, was expressed and purified as described previously (7
). The isotopic enrichment, estimated from mass spectrometry, was
95% for 13C and
93% for 15N. The full-length E56C/E63C/C101A mutant chicken skeletal troponin C, and the same protein labeled with BR-I2, were prepared as previously described (3
). Chemical constituents for the solutions used in the muscle fiber experiments were obtained from Sigma (Poole, Dorset, U.K.) except where noted otherwise.
Labeling of E56C/E63C-mutant sNTnC with BSR-I2
A solution of 8 mg sNTnC at 1 mg/ml in labeling buffer (25 mM Tris/HCl, 100 mM NaCl, 1 mM MgCl2, pH 7.4) was incubated overnight on ice with 2 mM dithiothreitol (final concentration) to reduce disulfides that formed during storage. Reduction was monitored by reverse-phase HPLC ((C18 VYDAC column, 218TP54; guard column, 218GCC54, Grace Vydac, Columbia, MD), eluting at 1 ml/min with a linear gradient of 60% solvent A (H2O, 0.1% TFA) and 40% solvent B (acetonitrile, 0.082% TFA) to 40% solvent A and 60% solvent B over 20 min), and was characterized by a change from an initially complex elution profile to a principal species that eluted at 52.3% solvent B. The protein was then gel-filtered using PD-10 columns (GE Healthcare, Chalfont St. Giles, U.K.), which were equilibrated with labeling buffer that also contained 52.5 µM tris(carboxyethyl)phosphine. After elution, the protein was diluted to a concentration of 0.55 mg/ml (52.5 µM) using the same buffer. BSR-I2 was then added (final concentration, 105 µM) from a 25 mM stock solution in dimethylformamide. The reaction mixture was incubated in the dark at 20°C for 40 min and the course of the reaction was monitored (after quenching an aliquot with 2-mercaptoethanesulfonate (see below)) by analytical reverse-phase HPLC as specified above. Protein elution was monitored by absorbance at 215 nm and by rhodamine fluorescence (
ex 549 nm,
em >580 nm). sNTnC in which both cysteines had been cross-linked by BSR (i.e., the desired product) eluted as a double peak at 50.3% and 51.1% solvent B. Unreacted sNTnC eluted at 52.3% solvent B, as above. All assignments were made retrospectively, after analysis of fractions by electrospray mass spectrometry. We did not seek to identify material in other fractions, which may have contained species labeled with two BSR moieties. After the 40-min incubation, the labeling reaction was quenched with sodium 2-mercaptoethanesulfonate (final concentration, 3.4 mM) and kept in the dark for a further 30 min at 20°C. Aliquots of the solution were filtered through PD-10 columns (2.5 ml per column) into FPLC buffer (10 mM potassium phosphate, 1 mM MgCl2, pH 7.5) to remove unconjugated rhodamine. The labeled sNTnC (0.31 mg/ml) was purified at 4°C on a 16/10 Mono-Q ion exchange column (GE Healthcare), using a linear gradient of 0.250.35 M NaCl in FPLC buffer at a flow rate of 2 ml/min. The protein eluted as two peaks with near-baseline resolution at 0.31 M and 0.32 M NaCl. One-milliliter fractions were collected and assayed for purity by analytical HPLC (as above) and electrospray mass spectrometry (measured mass for each peak, 11005.6 ± 1.8 Da). Fractions containing both peaks of the pure sNTnC·BSR5663 (>90% homogeneity) were pooled and dialyzed against 10 mM KCl, 0.42 mM CaCl2 (2 x 5 L, each for 2 h, then 1 x 3 L overnight, all at 4°C). The contents of the dialysis bag (2 ml) were then concentrated to 1 ml using a Vivaspin 20 concentrator (Vivascience, Epsom, U.K.) at 1140 x g. The concentrated solution of labeled protein (1.04 mg/ml, based on an extinction coefficient of 52,000 M1 cm1 at 528 nm (3
)) was flash frozen in liquid nitrogen and stored at 20°C.
Labeling of E56C/E63C/C101A-mutant sTnC with BSR-I2
Labeling of full-length sTnC with BSR-I2 was performed by a protocol similar to that previously described for BR-I2 (3
). HPLC analysis was as described above. sTnC·BSR5663 eluted as a partly resolved double peak at
53.0% and 53.3% acetonitrile. The species in each peak had the same mass (±1 Da). The labeled protein was purified in 1-mg aliquots on a C4 VYDAC 214TP510 column with a linear gradient from 60% solvent A (H2O, 0.1% TFA) and 40% solvent B (acetonitrile, 0.082% TFA) to 40% solvent A and 60% solvent B, run at 2 ml/min over 1 h. The two peaks, containing the separate diastereoisomers of the labeled protein and referred to as sTnC·BSR1 and sTnC·BSR2, were collected manually and immediately stored on ice. The combined fractions of each peak were dialyzed as soon as practicable into 10 mM Tris/HCl, 1 mM MgCl2, 100 mM NaCl, pH 7.5 (each 2 x 5 L for 2 h, then 1 x 5 L overnight, all at 4°C). The dialysis bag was placed on a bed of solid sucrose and concentrated to a final protein concentration of 12 mg/ml. The labeled protein was flash frozen in liquid nitrogen and stored at 80°C.
Competitive C-helix labeling with BR-I2 and BSR-I2
A 50-µM solution of reduced mutant sTnC in labeling buffer (as above) was treated with a dimethylformamide solution of BR-I2 and BSR-I2 (final concentrations, 100 µM each) and incubated for 40 min at 20°C. Unreacted rhodamines were quenched by addition of sodium 2-mercaptoethanesulfonate (final concentration, 6 mM) and, after 40-min incubation at 20°C, unconjugated rhodamine was removed by gel filtration in labeling buffer (PD-10 column). The eluted protein mixture was analyzed by electrospray mass spectrometry.
NMR sample preparation
One ml of the solution prepared above of 1.04 mg/ml {13C,15N}-sNTnC·BSR5663 in 0.42 mM CaCl2 and 10 mM KCl was concentrated by centrifugation at 5000 x g using Centricon YM-10 tubes (Millipore, Billerica, MA). To this solution were added 5 µl of 10 mM 2,2-dimethyl-2-silapentane-5-sulfonic acid and 5 µl of 100 mM imidazole in D2O. Afterward, 50 µl D2O was added to obtain a volume of 500 µl in 90% H2O/10% D2O. The pH was adjusted to 6.78 (using 1 M HCl) by following the imidazole peak in the 1D NMR spectrum (11
). The final protein concentration was 0.1 mM (by amino acid analysis) in 20 mM KCl. The salt concentration was kept as low as possible to obtain better results using a spectrometer equipped with a cryogenic probe. Later, 0.4 mg TnI115131 (Ac-RMSADAMLKALLGSKHK-NH2) was added to the sample. The pH dropped to 5.98 and was readjusted to 6.62 using 1 M NaOH. The complex so formed is referred to as sNTnC·2Ca2+·TnI115131·BSR5663.
NMR spectroscopy
All NMR spectra were acquired on Varian INOVA 600-MHz and 800-MHz spectrometers (the latter equipped with a cryogenic probe) using BioPack pulse sequences (Varian, Palo Alto, CA). A two-dimensional {1H-15N}-HSQC spectrum was collected at 800 MHz with 1024 (1H) x 512 (15N) complex points, 32 transients, and spectral widths of 11,990 Hz and 3242 Hz for the first and second dimensions, respectively. For better digital resolution in the 13C-dimension, the 3D spectra were acquired at 600 MHz. A 3D CBCA(CO)NH spectrum was acquired with 1024 (1H) x 128 (13C) x 64 (15N) complex points and 24 transients. On the same spectrometer, a 3D HNCACB spectrum was collected with 1024 (1H) x 128 (13C) x 64 (15N) complex points and 32 transients. The spectral width for the 3D spectra was 8398 Hz in the 1H-dimension, 2431 Hz in the 15N-dimension, and 12,068 Hz in the 13C-dimension. All spectra were acquired at 30°C.
To calculate a per residue backbone amide 15N transverse relaxation rate, a set of six 2D {1H-15N}-HSQC spectra were acquired at 600 MHz with different relaxation time delays (
= 10, 30, 50, 70, 90, and 110 ms). Spectra were collected with 1024 (1H) x 512 (15N) complex points, 32 transients, an equilibrium delay of 3.5 s, and spectral widths of 11,990 Hz and 3242 Hz. The relaxation rate per residue was calculated with the Rate Analysis function of NMRView 5.0.4 (12
) for all assigned peaks of the HSQC spectrum, except for those peaks showing strong overlap (to avoid integration of two resonances into one).
The spectra were processed using NMRPipe (13
). In general, a sine-bell function shifted by 60° or 90° was applied to the free induction decays, after a linear prediction limited in length to half the number of experimental points collected. The free induction decays were zero-filled with a maximum of twice the number of complex points acquired before analysis with NMRView and Smartnotebook (14
). The secondary structure prediction based on a C
chemical shifts homology was performed using the program Chemical Shift Index (15
).
Muscle fibers and solutions
All solutions used in muscle fiber experiments contained 25 mM imidazole, 5 mM MgATP, 1 mM free Mg2+ (added as magnesium acetate) and 10 mM EGTA, with the exception of preactivating solution, which had 0.2 mM EGTA. Ionic strength was adjusted to 150 mM by addition of potassium propionate (KPr), and the pH was 7.1 at 10°C. Ca2+ concentration (expressed as pCa, the negative log10 of the molar value) was adjusted by varying the relative amounts of K2EGTA and CaEGTA, keeping total [EGTA] at 10 mM in all solutions except the preactivating solution. No CaEGTA was added to the relaxing solution (pCa 9). TnC-extraction solution contained 0.5 mM trifluoperazine (Fluka, Poole, U.K.), 20 mM MOPS, 5 mM EDTA, and 130 mM KPr, pH 7.1, at 10°C.
Adult New Zealand white rabbits were killed by sodium pentobarbitone injection (200 mg kg1). Small fiber bundles were dissected from the psoas muscle, demembranated, and stored for up to 4 weeks in relaxing solution containing 50% (v/v) glycerol at 20°C (16
). Single fiber segments 2.53.5 mm long were dissected in the above storage solution on a cooled microscope stage and mounted, via aluminum T-clips, at sarcomere length 2.4 µm between a force transducer (AE801, Memscap, Bernin, France) and a fixed hook in a 60-µl glass trough containing relaxing solution. The experimental temperature was 10.0 ± 0.5°C.
TnC extraction and reconstitution
Native TnC was selectively extracted from single glycerinated rabbit psoas muscle fibers by repeated 30-s incubations in TnC-extraction solution followed by 30 s in relaxing solution. After a total of 20 such cycles, no Ca2+-activated force could be detected at pCa 4.5. Fibers were reconstituted with labeled sTnC by bathing them in relaxing solution containing
1.0 mg/ml labeled sTnC for 60 min at 10°C.
Fluorescence polarization and physiological measurements
Force and polarized fluorescence intensities from BR- or BSR-labeled sTnC were measured as described (17
). The central 1.5-mm segment of a fiber mounted horizontally in a temperature-controlled trough was briefly illuminated from below with 532 nm light polarized either parallel or perpendicular to the fiber axis. The fluorescent light emitted from the fiber and propagating in the vertical direction (in line with the illuminating beam) was collected by a 10x 0.3 NA objective (Plan Fluor, Nikon, Tokyo, Japan). A similar objective collected fluorescence in the horizontal direction (at 90° to both illuminating beam and fiber axis). In each channel, the fluorescence was selected by a 610-nm filter with 75-nm bandpass, and separated into parallel and perpendicular components by a Wollaston prism. The resultant polarized fluorescence intensities were measured simultaneously by four photomultipliers (R4632, Hamamatsu, Hamamatsu City, Japan) for each excitation polarization. Relative transmittances of the excitation and emission channels and photomultiplier sensitivities were measured using an isotropic film of rhodamine in polyvinylalcohol sandwiched between two 45° prisms (18
), and appropriate correction factors applied to the fiber data. Three independent order parameters,
P2d
,
P2
, and
P4
, were calculated from the eight corrected intensities (19
). The orientation of the BR and BSR dipoles with respect to the fiber axis, averaged over timescales that are long compared with the lifetime of the excited state, was estimated from
P2
and
P4
, by fitting model orientation distributions with a Gaussian shape (3
), and by maximum entropy analysis (20
). Each pair of
P2
and
P4
values was fitted by a Gaussian orientation distribution with peak angle
g and standard deviation
according to the formulae
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and
 |
where the integration limits are chosen to include the possible contribution of tails of the Gaussian distribution outside the region 0 <
<
/2 when
g is within that range, P2(cos
) is the function 0.5(3cos2
1), and P4(cos
) is 0.125(35cos4
30cos2
+ 3). Note that no sin
weighting terms are included in the integrals. This model, in contrast with those used previously (1
3
), corresponds to a Gaussian distribution of axial angles of the probe molecules at each azimuth without truncation at the quadrant boundaries. The symmetries of the muscle fiber structure, the cylindrical symmetry around the fiber axis combined with the bipolar organization of sarcomeres and the dipole nature of the probes, converts the Gaussian distribution in the molecular coordinate frame into a "folded Gaussian" distribution in the fiber coordinate frame by effectively reflecting the
< 0 and
>
/2 tails into the region 0 <
<
/2. The mean angle (
f) of this folded Gaussian distribution in the range 0 <
<
/2 will, in general, not be equal to
g.
The maximum entropy distribution fME of the angle
between the probe dipole and the fiber axis is the broadest distribution that is consistent with the measured
P2
and
P4
values, calculated to maximize the informational entropy of the distribution defined as
Again there is no sin
weighting in the integral, in contrast with the previous formulation (20
), so here fME represents the maximum entropy estimate of the total number of probes at angle
, independent of space-filling or other assumptions related to the azimuthal distribution of probe dipoles in the cylindrically symmetrical coordinate system of the fiber. fME is proportional to exp[
2 P2(cos
) +
4 P4(cos
)], where
2 and
4 are Lagrange multipliers, chosen to fit the measured
P2
and
P4
values using the equations
and
The mean of the fME distribution in the range 0 to
/2,
ME, was calculated as
Force and polarized fluorescence data were measured during a series of activations at different [Ca2+] in each fiber. Each activation was preceded by a 1-min incubation in preactivating solution and followed by a 5-min incubation in relaxing solution. Force and polarized fluorescence intensities were measured after a steady force had been established in each activation. Maximum isometric force at pCa 4.5 was recorded before and after each series of activations at submaximal [Ca2+]; if maximum isometric force had decreased by >10%, the fiber was discarded. The dependence of force and of order parameters on [Ca2+] for each fiber were fitted using least-squares regression to the Hill equation:
where pCa50 is the pCa corresponding to half-maximal change in the parameter Y, and nH is the Hill coefficient specifying the steepness of the Ca2+-dependence. Force-pCa relationships were described by expressing submaximal Ca2+-activated force at each pCa as a fraction of maximum Ca2+-activated force determined at pCa 4.5.
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RESULTS
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Diastereoisomers of labeled proteins
As previously described for the same proteins labeled with BR-I2 (3
,7
), the BSR-labeled N-lobe and full-length proteins were produced as a mixture of diastereoisomers. This occurs because there is a barrier to rotation about the bond that joins either the carboxylated or sulfonated phenyl ring to the three coplanar rings that comprise the fluorophore of these rhodamine dyes (Fig. 1). Quantum mechanics calculations indicate a value of
27 kcal/mol for this rotational barrier (21
). Although the diastereoisomers in this case for the labeled sNTnC were resolved by both HPLC and FPLC, they were recombined after purification because of the small amount of protein available.
Relative reactivity of BR-I2 and BSR-I2
Mass spectrometric analysis (Fig. 2) of the unfractionated mixture of products obtained after incubation of the mutant sTnC with a mixture of BR-I2 and BSR-I2 (each rhodamine in twofold molar concentration with respect to that of the protein) showed the predominant presence of one labeled species, identified as sTnC·BSR. The calculated molecular weights of the various species, from which the structural assignments were made, are given in the figure legend. sTnC·BR was barely detectable in the unfractionated mixture, and other minor components identified had two rhodamines attached to the protein. The predominance of sTnC·BSR in the product mix shows that BSR-I2 reacts more rapidly than BR-I2 with the thiol groups of the mutant sTnC.

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FIGURE 2 Electrospray mass spectrum of the unfractionated E56C/E63C/C101A sTnC mutant after competitive labeling with a mixture of BR-I2 and BSR-I2. The major series (A-peaks) corresponds to the expected mass of sTnC·BSR (calculated mass, 18,757.4 Da). The single peak marked C is the only one resolved that corresponds to sTnC·BR (calculated mass, 18,697.3 Da). Of the remaining species (B, D, and E), two correspond to TnC labeled with two rhodamine moieties. B is from TnC carrying two BSR moieties, with the iodoacetamide functions on their distal ends both displaced by 2-mercaptoethanesulfonate (calculated mass, 19,624.5 Da). E represents double labeling by BR, but with only one of the iodoacetamides on the side chains not attached to cysteine residues displaced by 2-mercaptoethanesulfonate (calculated mass, 19,491.0 Da). The exact nature of species D could not be assigned.
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Backbone chemical shift comparison between sNTnC·2Ca2+·TnI115131·BSR5663 and sNTnC·2Ca2+·TnI115131·BR5663
Even with only 1 mg of {13C,15N}-sNTnC·2Ca2+·TnI115131·BSR5663, high quality NMR spectra could be obtained using an 800-MHz spectrometer equipped with a cryogenic probe. A portion of the 2D {1H-15N}-HSQC NMR spectrum is shown in Fig. 3. sNTnC·2Ca2+·TnI115131·BR5663 was previously found to undergo partial dimerization in solution, with the proportion of dimer decreasing at higher salt concentrations (7
). To evaluate the monomer/dimer ratio for sNTnC·2Ca2+·BSR5663 under the conditions of this experiment, the 15N-R2 of sNTnC·2Ca2+·BSR5663 was measured at 600 MHz before adding TnI115131. A relaxation rate of 9.6 s1 was obtained from the decay of the amide envelope using the 1D trace of the first increment of six {1H-15N}-HSQC spectra with different time delays (see Materials and Methods). This relaxation experiment reflects the apparent molecular weight of sNTnC·2Ca2+·BSR5663, and consequently estimates the monomer/dimer ratio in solution. The 15N-R2 value measured at 20 mM KCl was equivalent to that obtained by Mercier et al. (7
) for sNTnC·2Ca2+·TnI115131·BR5663 at 320 mM KCl (R2 = 9.8 s1), which indicates that sNTnC·2Ca2+·BSR5663 has little tendency to dimerize at the concentration used. As a result, no more salt was added, as it would have compromised acquisition of NMR spectra on the 800-MHz NMR spectrometer. The subsequent addition of TnI115131 to form the final complex further reduces the tendency to dimerize (22
).

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FIGURE 3 Selected region of the 2D {1H-15N}-HSQC NMR spectrum of sNTnC·2Ca2+·TnI115131·BSR5663 acquired at 800 MHz using a cryogenic probe. Twin peaks are clearly observed for residues 54, 56, 58, 59, and 60, reflecting the presence of two diastereoisomers in solution.
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The backbone NMR chemical shift assignments were carried out from a 2D {1H-15N}-HSQC spectrum for the amides, and 3D HNCACB and 3D CBCA(CO)NH spectra for the C
and Cß nuclei using Smartnotebook (14
). The backbone assignment of sNTnC in the sNTnC·2Ca2+·TnI115131·BSR5663 complex was completed to 97.7% (N, HN, C
and Cß). The only missing atoms are the Cß of residues 57 and 61. As noted above, two diastereoisomers were generated during the labeling of sNTnC with BSR-I2. As a result, twin peaks were observable for several residues in the HSQC spectrum (Fig. 3). Twinning was clearly identifiable for residues 54, 56, 58, 59, and 60, situated close to the BSR probe on the C-helix. The peak with higher intensity was chosen for the backbone assignment, but relaxation rates were determined for both peaks. These five residues were identified according to the size of the chemical shift difference between the two resonances, the presence of separate C
and Cß resonances in 3D spectra, and the relative peak intensity of the corresponding peaks (approximately equal) in 2D and 3D spectra. Other resonances appearing as major and minor peaks (e.g., residues 8, 10, 23, 39, and 73) could result from the presence of the two diastereoisomers, or could come from another phenomenon like the monomer-dimer equilibrium existing in solution.
The backbone chemical shifts of sNTnC·2Ca2+·TnI115131·BSR5663 were compared to sNTnC·2Ca2+·TnI115131·BR5663 for all assigned atoms (Fig. 4). The overall backbone chemical shifts did not reveal significant changes. On average, the difference of chemical shifts between the two N-domains is 0.26 ppm for the N nuclei, 0.04 ppm for the amide protons, 0.12 ppm for the C
nuclei, and 0.13 ppm for the Cß nuclei. The maximum deviations observed for the HN (0.28 ppm), N (0.78 ppm), C
(0.76 ppm), and Cß (0.67 ppm) reflect this high level of similarity. More importantly, the chemical shifts observed for the residues from E56C to E63C do not show significantly higher variation than residues in the rest of the protein, which indicates that the C-helix is not perturbed by the presence of this more rigid probe. Moreover, the secondary structure prediction based on C
chemical shift homology shows the presence of the
-helices and ß-sheets in the same positions as for sNTnC·2Ca2+·TnI115131·BR5663 (Fig. 5). The prediction indicates a secondary structure of sNTnC·2Ca2+·TnI115131·BSR5663 essentially identical to that of sNTnC·2Ca2+·TnI115131·BR5663 for the well-defined regions (residues 385), and a perfect match for the C-helix.

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FIGURE 4 Difference in 15N, 1HN, 13C , and 13Cß chemical shifts between sNTnC·2Ca2+·TnI115131·BSR5663 and sNTnC·2Ca2+·TnI115131·BR5663. The gray area corresponds to the region of the N-domain where the bifunctional rhodamine label is attached. The resonances with higher intensity were chosen for twin peaks.
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Transverse relaxation measurement of sNTnC·2Ca2+·TnI115131·BSR5663
Having demonstrated that the C-helix is intact, we used amide 15N relaxation data to probe the mobility of residues in the protein. The 15N relaxation rates of sNTnC in the sNTnC·2Ca2+·TnI115131·BSR5663 complex were determined on a per residue basis (Fig. 6). The average 15N-R2 obtained was 11.6 ± 2.8 s1 using every nonoverlapping residue (80 peaks). This relaxation rate is higher than the value given here for sNTnC·2Ca2+·BSR5663, since TnI115131 is bound to the N-domain and forms a higher molecular weight complex. The expected 15N-R2 values for sNTnC·2Ca2+·TnI115131·BSR5663 are
9 s1 for a monomer and
18 s1 for a dimer. These were determined from the correlation between the relaxation rates of different TnC complexes and their respective molecular weights (23
). According to the average 15N-R2,
75% of the complex is present in the monomeric form. However, this is an underestimation of the amount of monomer in solution, because faster relaxation rates were observed for some residues. It is likely that these faster rates reflect a contribution from exchange broadening due to the monomer/dimer equilibrium. Without these residues (15N-R2 > 13 s1), the average 15N-R2 decreased significantly to 10.4 ± 1.7 s1 (59 peaks). This indicates that >85% of the complex is in the monomeric form, which is consistent with the ratio of the peak intensities for the twin peaks identified above that result from the monomer/dimer equilibrium in solution. Overall, the 15N-R2 relaxation data per residue show the typical characteristics of a folded protein, which indicates that the structure of the N-domain is not perturbed by the presence of the probe. The relaxation rates for residues at the extremities of the sequence were smaller, as is typical for the flexible terminal regions. The relaxation rates observed for residues 5663 of the C-helix were similar, but slightly higher, compared to those measured for the other secondary structures with an average 15N-R2 of 12.5 s1. Therefore, the C-helix is not perturbed, and is certainly not more flexible with the more rigid BSR probe attached.

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FIGURE 6 Backbone amide 15N-R2 NMR relaxation rates for each residue of sNTnC·2Ca2+·TnI115131·BSR5663 at 600 MHz. The gray area corresponds to the region of the N-domain where the bifunctional rhodamine label is attached. Two separate values were calculated for the twin peaks (residues 54, 56, 58, 59, and 60).
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Ca2+-regulation of isometric force in muscle fibers
The isometric force produced by single demembranated fibers from rabbit psoas muscles at saturating [Ca2+] was reduced by replacement of native sTnC by BR- or BSR-labeled recombinant sTnC. After introduction of sTnC·BR, sTnC·BSR1, and sTnC·BSR2, isometric force was 82 ± 6% (mean ± SE, n = 5), 77 ± 2% (n = 4), and 64 ± 6% (n = 4), respectively, of the pre-exchange value in each fiber (Table 1). The mean value for sTnC·BR is similar to that reported previously for unlabeled recombinant sTnC (3
,24
). Isometric force also developed more slowly in fibers containing sTnC·BR, sTnC·BSR1, or sTnC·BSR2 than in control fibers (Table 1). As with maximum isometric force, modification of fiber function appears to be greater for BSR than BR, and greater for BSR2 than BSR1.
The Ca2+ sensitivity of isometric force was also reduced by the introduction of the labeled sTnCs (Fig. 7). The isometric force at each [Ca2+] was expressed as a fraction of maximum Ca2+-activated force at pCa 4.5, plotted against pCa, and fitted with the Hill equation (see Methods). The pCa value that produced half-maximum force (pCa50) was reduced after introduction of sTnC·BR (squares), sTnC·BSR1 (triangles), or sTnC·BSR2 (diamonds) by 0.40, 0.70, and 1.02 units, respectively (Table 1). A preliminary Ca2+ titration of sNTnC·BSR5663 in solution supports the conclusion that the BSR probe reduces the Ca2+ affinity of TnC (see Supplementary Material). The steepness of the force-pCa relationship (indicated by the Hill coefficient, nH) in fibers containing sTnC·BR, sTnC·BSR1, or sTnC·BSR2 was similar to that measured in control fibers before sTnC exchange.

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FIGURE 7 The Ca2+ dependence of force in control fibers (circles), fibers reconstituted with sTnC·BR (squares), or sTnC·BSR (sTnC·BSR1 (triangles) and sTnC·BSR2 (diamonds)). All data are scaled to the value obtained at pCa 4.5 for each labeled sTnC. Each point is the mean ± SE. Data were fitted to the mean data points with the Hill equation (see Methods).
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Orientation of the rhodamine dipoles on TnC in muscle fibers
The orientations of the BR and BSR probes on sTnC incorporated into muscle fibers were determined by polarized fluorescence measurements and expressed in terms of the order parameters
P2d
,
P2
, and
P4
(3
,19
).
P2d
describes the amplitude of the local rotation of the rhodamine dipole with respect to the protein backbone.
P2d
was independent of [Ca2+] and close to 0.91 for each of the three rhodamine-labeled sTnCs (Table 1). This value corresponds to that expected for uniform wobble in a cone of semiangle 20° on a timescale that is short compared with the fluorescence lifetime. There were no significant differences between
P2d
values for BR- and BSR-labeled sTnC, or between those for the two diastereoisomers of sTnC·BSR. These results suggest that, once attached to the C-helix of TnC in a muscle fiber, there is no difference in the fast local motion of the BR and BSR probes relative to the protein backbone. Preliminary measurements of the excited-state lifetime of sTnC·BR and sTnC·BSR in isolated muscle fibers revealed no substantial difference between the lifetimes of the two probes in situ; both had values of
4 ns.
The order parameters
P2
and
P4
describe the orientation distribution of the BR and BSR dipoles with respect to the muscle fiber axis, averaged over a timescale that is long compared with the fluorescence lifetime, and with the rapid local motion of the probes factored out. Formally, they correspond to the second- and fourth-rank coefficients of the Legendre polynomial expansion of this orientation distribution.
P2
would be +1 if all the dipoles were parallel to the fiber axis, and 0.5 if they were all perpendicular to that axis.
P4
gives orientation information at higher resolution. There were reproducible differences between the
P2
and
P4
values for the different labeled sTnCs (Table 1 and Fig. 8), indicating differences between the orientation distributions of the BR and BSR dipoles with respect to the fiber axis.
For all three rhodamine labeled sTnCs,
P2
decreased substantially when the muscle fibers were activated (Fig. 8 A), signaling a large increase in the angle between the rhodamine dipole and the fiber axis, as reported previously for sTnC·BR (3
).
P4
, in contrast, showed different behavior for the three probes (Fig. 8 B). The Ca2+ dependence of the changes in
P2
and
P4
were analyzed using the Hill equation (fitted curves in Fig. 8). The
P2
data are more reliable as the signal/noise ratio is greater. The pCa50 for
P2
was similar to that for force for each labeled sTnC. The
P2
-Ca2+ relationship was steeper for sTnC·BSR2 than for sTnC·BSR1 (Table 1). These results confirm the conclusion from the force-Ca2+ relationship (Fig. 7), that the introduction of the rhodamine labels on the C-helix of sTnC reduces the Ca2+ affinity of the regulatory sites, and that this effect is larger for BSR than BR.
The angle (
) between the pr obe dipole and the muscle fiber axis was estimated from the measured
P2
and
P4
values for each probe by two independent methods: Gaussian model fitting (3
) and maximum entropy analysis (20
). In contrast to previous analyses (3
), the distribution was not truncated at either
= 0° or
= 90° (see Materials and Methods, and Fig. 9 A), thus providing a more realistic representation of the orientation distribution in the molecular coordinate frame. The fitted Gaussian distribution for sTnC·BR (Fig. 9 A, solid line) in relaxed muscle fibers at pCa 9 had
g = 34.6 ± 1.9° (mean ± SE, n = 5) and standard deviation (
) 26.0 ± 1.3° (Table 1). The value of
g is larger than that reported previously (28°) using a Gaussian model distribution that was truncated at 0° (3
). The fitted full Gaussian distributions for sTnC·BSR1 (Fig. 9 A, dashed line) and sTnC·BSR2 (dotted line) at pCa 9 had
g values of 34.9 ± 0.3° and 38.2 ± 0.2°, which are not significantly different from that for sTnC·BR. However, the distributions for the BSR probes are narrower than that for the BR probe;
values for sTnC·BSR1 and sTnC·BSR2 were 16.4 ± 0.4° and 17.4 ± 0.2°, respectively (Table 1).
The maximum entropy distribution (fME) of axial angles (
) (Fig. 9 B) is the broadest orientation distribution consistent with the observed
P2
and
P4
values, calculated by maximizing the informational entropy defined as fME.lnfME (20
). The maximum entropy distribution is necessarily symmetrical around
= 90°, and is plotted in Fig. 9 B only for the region 0° <
< 90°. The fME distributions for relaxed muscle fibers at pCa 9 for sTnC·BR (solid line), sTnC·BSR1 (dashed line), and sTnC·BSR2 (dotted line) are centered on about the same axial angle, but the fME distribution for BR is broader than that for either of the BSR isomers. The mean angles of these distributions (
ME) were 36.8 ± 1.1°, 35.0 ± 0.2°, and 38.3 ± 0.2° for sTnC·BR, sTnC·BSR1, and sTnC·BSR2, respectively (Table 1), and each of the
ME values is close to the respective peak (
g) value for the Gaussian model distributions (Fig. 9 A).
The maximum entropy (fME) and Gaussian (fG) distributions can be compared more directly by noting that the cylindrical and bipolar sarcomere symmetry of the muscle fibers, combined with the dipolar nature of the probes, effectively folds the
< 0° and
> 90° tails of the molecular Gaussian distribution (Fig. 9 A) into the region 0° <
< 90°, yielding the fiber-level orientation distribution shown in Fig. 9 C. This "folded Gaussian distribution" no longer has a Gaussian shape; rather, it is similar in shape to the maximum entropy distribution fME (Fig. 9 B). The means (
f) of the folded Gaussian distributions for sTnC·BR, sTnC·BSR1, and sTnC·BSR2 were 36.2 ± 0.9°, 35.0 ± 0.3°, and 38.3 ± 0.2°, respectively (Table 1), very close to the corresponding
ME values. The greater width of the distribution for the BR probe is again apparent in the folded Gaussian distributions (Fig. 9 C).
The Gaussian and maximum entropy analyses were also applied to the
P2
and
P4
values obtained for each probe during active isometric contraction (pCa 4.5; Table 1).
g was slightly larger than
f and
ME for each probe at pCa 4.5, but in each case
f was very close to
ME, as observed at pCa 9. All three angles were smaller for sTnC·BSR2 than for sTnC·BSR1, and smaller for sTnC·BSR1 than for sTnC·BR. These differences support the evidence from isometric force measurements (Fig. 7 and Table 1) that fibers containing sTnC·BSR2 and, to a lesser extent, those containing sTnC·BSR1, may not be fully activated at pCa 4.5. The same phenomenon is probably responsible for the slightly larger value of
observed for the BSR probes during active contraction (Table 1); incomplete activation at pCa 4.5 of fibers containing the BSR probes would lead to a population of TnC molecules in the relaxed orientation, thereby increasing the measured orientational dispersion.
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DISCUSSION
|
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The experiments described above compared a wide range of properties of two cysteine-directed bifunctional fluorescent probes, BR-I2 and BSR-I2, that were used to label the same protein, namely, the C-helix of sTnC. The results lead to specific conclusions about the efficacy of these two particular probes for determining the orientation of sTnC in muscle fibers. The comparison of the results from the two probes also allows some more general conclusions to be drawn about the power and limitations of the bifunctional fluorophore approach for determining the structure and orientation of protein domains in the cellular environment.
BSR-I2 was found to react much more rapidly than BR-I2 with the pair of cysteine residues introduced into sTnC at positions 56 and 63. The greater reactivity of BSR-I2 is a significant advantage for the convenient production of the desired conjugate, in which the probe cross-links the target cysteines, at the required purity. A similar difference in reactivity between BSR-I2 and BR-I2 has been observed for the E8C/L15C, K11C/Q73C, and P70C/N77C mutants of the A2 isoform of the essential light chain of chicken skeletal myosin (25
). The difference in cysteine-directed reactivity between BSR-I2 and BR-I2 is therefore likely to be a general property of these reagents, which may be due to stereoelectronic influences within the piperazine rings of BSR-I2 that enhance the reactivity of its iodoacetamido groups.
The native structure of the N-domain of sTnC is not significantly affected by BSR attached to residues E56C and E63C of its C-helix. The backbone chemical shifts of sNTnC·BSR5663 are similar to those of sNTnC·BR5663, even for the C-helix region. The identification of protein secondary structure using C
chemical shifts indicates the formation of five
-helices and a small ß-sheet. The relaxation data obtained for sNTnC·2Ca2+·TnI115131·BSR5663 are equivalent to those for sNTnC·2Ca2+·TnI115131·BR5663, demonstrating that, like the BR probe (7
), the BSR probe does not significantly affect the conformation of the C-helix or the overall dynamics of the protein in solution.
Both sTnC·BR and sTnC·BSR were able to support Ca2+ regulation of contraction when exchanged into demembranated muscle fibers, but the mean isometric force at pCa 4.5 was smaller for sTnC·BSR than for sTnC·BR, suggesting that fibers containing sTnC·BSR were not fully activated at pCa 4.5. The rate of force development upon transferring fibers from pCa 9 to pCa 4.5 was also lower for sTnC·BSR than for sTnC·BR, and lower for sTnC·BSR2 than for sTnC·BSR1. In each case, the rate was lower than in control fibers. These changes in activation kinetics were correlated with the observed changes in Ca2+ sensitivity, as indicated by both isometric force and the orientation changes reported by polarized fluorescence. In each case, the change was greater for BSR than for BR, and larger for BSR2 than for BSR1. Thus, although the secondary structure of TnC is not affected by BR- or BSR-labeling, the Ca2+ affinity and binding kinetics of the regulatory sites in the N lobe of sTnC are affected, presumably as a direct result of the proximity of the probes to the Ca2+-binding sites. Different Ca2+ affinities for the two diastereoisomers of sTnC·BSR might be explained by different orientations of the electric dipole of BSR with respect to the protein. The calculated electric dipole for a carborhodamine such as in BR is 19 Debye, oriented at
40° to the plane of the xanthene ring (21
). It would have a similar orientation in a sulforhodamine such as BSR, although the more diffuse charge distribution on the sulfonate may somewhat modify its magnitude. Because the orientation of the dipole depends on the position of the sulfonate group (above or below the plane of the xanthene ring), the dipole's orientation relative to the protein will differ between the two diastereoisomers by
80°, assuming the xanthene ring of the BSR has the same orientation in the two diastereosiomers. Much smaller modulations of electric dipoles (changes
3 Debye) have been shown to have significant effects on the ion channel gating of modified gramicidin (26
,27
). Since the more rigid BSR probe is likely to hold the dipole of the two diasteroisomers in more defined orientations relative to the protein than is the case for the diastereoisomers of the more flexible BR probe, it is at least feasible that the observed differences in Ca2+ affinity of the sNTnC·BSR diastereoisomers could be attributed to this differential electric dipolar effect.
The similarity of the observed values of the order parameter
P2d
for sTnC·BSR and sTnC·BR in muscle fibers shows that the amplitude of the local orientational motion of the rhodamine fluorescence dipole with respect to the protein backbone was similar for the two probes.
P2d
for both probes corresponds to that expected for uniform wobble in a cone of semiangle
20° on a timescale that is fast compared with the fluorescence lifetime, which is
4 ns. The fact that the greater flexibility of the linkers between the probe dipole and cysteine attachments in BR does not result in a greater degree of independent rapid motion of the probe suggests that the BR probe is immobilized to some extent by an interaction with the protein surface.
The orientation of the BR and BSR dipoles with respect to the fiber axis was estimated from the order parameters
P2
and
P4
by two independent analytical approaches, based on fitting Gaussian orientation distributions and on maximum entropy analysis. The Gaussian fitting approach was modified from that used previously (1
3
), in which the Gaussian fitting was applied in the fiber coordinate frame, and truncated at
= 0° because negative values of
are not defined in that frame. Here, we applied the Gaussian model in the molecular coordinate frame, in which there is no physical reason to exclude negative axial angles, so the distributions were not truncated at
= 0°. We then transformed this distribution into the fiber frame by folding the
< 0° tail of the molecular-frame Gaussian into the
> 0° region in the fiber frame. The bipolar symmetry of the muscle sarcomeres and the dipole nature of the probes impose additional mirror symmetry around
= 90° in the fiber orientation distributions, and this symmetry was taken into account in previous Gaussian fitting analyses.
The maximum entropy distribution of axial probe angles is the broadest orientation distribution in the fiber coordinate frame that is consistent with the observed
P2
and
P4
values. It is defined only for positive
, but has mirror symmetry around
= 90°. The maximum entropy distributions were similar to the folded Gaussian distributions for each probe in each condition studied here. The means of the two distributions in the region 0° <
< 90°,
ME, and
f, respectively, were equal to within 1° in each case. The agreement of the mean angles derived from the model-independent maximum entropy analysis and the folded Gaussian analysis suggest that both methods give a reliable estimate of the orientation distribution of the probes in the fiber frame, at least at the relatively low angular resolution implied by knowledge of only the first two second-rank order parameters,
P2
and
P4
. The folded Gaussian analysis also suggests that these fiber-frame distributions result from Gaussian distributions in the molecular frame, at the same angular resolution. The isolation of these molecular orientation distributions, characterized by peak angle
g and standard deviation
, is explicitly distinguished from orientation distributions in the fiber frame for the first time that we know of by the analysis described here.
Applying these general conclusions to the results of these experiments, the molecular-frame orientations of the sTnC·BR, sTnC·BSR1, and sTnC·BSR2 probes are defined by the Gaussian parameters
g and
. The comparison of the parameters for the three probes is most informative for relaxed muscle fibers (pCa 9), in which all the TnC molecules in the fiber are in the "off" conformation. In these conditions,
g values for the sTnC·BR, sTnC·BSR1, and sTnC·BSR2 probes were almost equal, suggesting that the peak orientation of each of the probes accurately reports that of the C-helix residues to which they are attached. However,
was significantly larger for sTnC·BR than for sTnC·BSR1 and sTnC·BSR2; as might be expected on the basis of the greater flexibility of the probe-protein linkers in the BR probe. In this context, it is important to note that
is not related to the independent motion of the probes on timescales shorter than the
4-ns fluorescence lifetime, which we have shown on the basis of the
P2d
measurements is similar for the BR and BSR probes. The difference in
rather suggests that the greater flexibility of BR allows the probe to adopt a wider range of conformations with respect to the protein backbone, but that motion between these conformations takes place on timescales longer than 4 ns. The value of
observed for the less flexible BSR probe,
17°, thus represents a probable upper limit for the standard deviation of the axial orientations of the C-helix of TnC in a relaxed muscle fiber.
The results presented here demonstrate the potential of polarized fluorescence measurements with bifunctional probes to measure the orientation of protein domains in their native environment with minimal disruption of native structure. They also illustrate the sensitivity of the measured orientational and functional parameters to probe chemistry. In the case of cysteines at positions 56 and 63 on the C-helix of sTnC, the bifunctional probes BR and BSR have complementary advantages and disadvantages. BSR has much greater reactivity for this pair of sites, and probably for all cysteine residues, and this facilitates the preparation of probe-protein conjugates at the required purity. Neither probe alters the structure of sTnC in solution, but both reduce the Ca2+ affinity of its regulatory sites and this effect is more pronounced for BSR than for BR. The extent of the reduction is different for the two diastereoisomers of sTnC·BSR. Both probes are likely to accurately report the mean in situ orientation of the vector joining the two cysteines to which they are attached.
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SUPPLEMENTARY MATERIAL
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To view all of the supplemental files associated with this article, visit www.biophysj.org.
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ACKNOWLEDGEMENTS
|
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We thank the Canadian National High Field NMR Centre (NANUC) for their assistance and use of their facilities.
Operation of NANUC is funded by the Canadian Institutes of Health Research, the Natural Science and Engineering Research Council of Canada, and the University of Alberta. The experiments in Edmonton were funded by the Canadian Institutes of Health Research, and the experiments in London were funded by the Medical Research Council, U.K. O.J. was supported by a studentship from Fonds de la Recherche en Santé du Québec.
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FOOTNOTES
|
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Oliver Julien and Yin-Biao Sun contributed equally to this work.
Abbreviations used: sTnC, chicken skeletal troponin C; TnC, troponin C; sNTnC, N-domain of chicken skeletal troponin C; BR and BSR, bifunctional carborhodamine and bifunctional sulforhodamine moieties, respectively, attached to proteins after two-site labeling with BR-I2 or BSR-I2 reagents; Cß, ß-carbon; HPLC, high-performance liquid chromatography; FPLC, fast-protein liquid chromatography; sTnC·BSR1 and sTnC·BSR2 are diastereoisomers that are eluted during preparative HPLC as the first and second peaks of BSR-labeled mutant sTnC; BSR5663, BSR reagent as a mixture of two diastereoisomers attached to cysteines 56 and 63 of mutant sNTnC or sTnC; TnI115131, switch peptide of troponin I; HSQC, heteronuclear single-quantum coherence; 15N-R2, amide transverse relaxation rate; TFA, trifluoroacetic acid.
Editor: David D. Thomas.
Submitted on January 3, 2007;
accepted for publication March 16, 2007.
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REFERENCES
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1. Corrie, J. E. T.,