Molecular alignment of denatured states of staphylococcal nuclease with strained polyacrylamide gels and surfactant liquid crystalline phases

Residual dipolar couplings reflect the orientation of vectors between pairs of magnetic nuclei relative to a unique set of molecular axes. Thus, unlike NOEs and scalar couplings, dipolar couplings provide access to long-range structural information. A prerequisite for measurement of these NMR parameters is imposition of a weak net alignment, most simply by forcing the macromolecules to tumble in an asymmetric environment that restricts some orientations more than others. In this report, several denatured forms of staphylococcal nuclease are aligned by using compressed and stretched polyacrylamide gels, a nonionic type of lipid bilayer disk or bicelle, and a liquid crystalline phase formed by a cationic lipid. All three types of media can be used at high urea concentrations. While polyacrylamide gels and bicelles produce similar alignment tensors through steric interactions, a liquid crystalline phase of cetylpyridinium bromide aligns denatured nuclease along a different set of axes, presumably through electrostatic effects. The analysis of residual dipolar couplings collected with two different alignment tensors may permit the calculation of ensembles of conformations. The dipolar couplings observed for staphylococcal nuclease denatured with urea, by low pH or by deletion of residues from both termini, suggest that all denatured forms share a common "topology", one which has been shown previously to be native-like. Although SDS/nuclease complexes give sharp and disperse (1)H-(15)N correlation spectra, only small couplings are observed in strained polyacrylamide gels.     

Line narrowing in spectra of proteins dissolved in a dilute liquid crystalline phase by band-selective adiabatic decoupling: Application to 1HN-15N residual dipolar coupling measurements

Residual heteronuclear dipolar couplings obtained from partially oriented protein samples can provide unique NMR constraints for protein structure determination. However, partial orientation of protein samples also causes severe ¹ H line broadening resulting from residual ¹ H-¹H dipolar couplings. In this communication we show that band-selective ¹H homonuclear decoupling during data acquisition is an efficient way to suppress residual ¹H-¹H dipolar couplings, resulting in spectra that are still amenable to solution NMR analysis, even with high degrees of alignment. As an example, we present a novel experiment with improved sensitivity for the measurement of one-bond ¹ H^N-¹⁵N residual dipolar couplings in a protein sample dissolved in magnetically aligned liquid crystalline bicelles.     

Structural characterization of unfolded states of apomyoglobin using residual dipolar couplings

The conformational propensities of unfolded states of apomyoglobin have been investigated by measurement of residual dipolar couplings between (15)N and (1)H in backbone amide groups. Weak alignment of apomyoglobin in acid and urea-unfolded states was induced with both stretched and compressed polyacrylamide gels. In 8 M urea solution at pH 2.3, conditions under which apomyoglobin contains no detectable secondary or tertiary structure, significant residual dipolar couplings of uniform sign were observed for all residues. At pH 2.3 in the absence of urea, a change in the magnitude and/or sign of the residual dipolar couplings occurs in local regions of the polypeptide where there is a high propensity for helical secondary structure. These results are interpreted on the basis of the statistical properties of the unfolded polypeptide chain, viewed as a polymer of statistical segments. For a folded protein, the magnitude and sign of the residual dipolar couplings depend on the orientation of each bond vector relative to the alignment tensor of the entire molecule, which reorients as a single entity. For unfolded proteins, there is no global alignment tensor; instead, residual dipolar couplings are attributed to alignment of the statistical segments or of transient elements of secondary structure. For apomyoglobin in 8 M urea, the backbone is highly extended, with phi and psi dihedral angles favoring the beta or P(II) regions. Each statistical segment has a highly anisotropic shape, with the N-H bond vectors approximately perpendicular to the long axis, and becomes weakly aligned in the anisotropic environment of the strained acrylamide gels. Local regions of enhanced flexibility or chain compaction are characterized by a decrease in the magnitude of the residual dipolar couplings. The formation of a small population of helical structure in the acid-denatured state of apomyoglobin leads to a change in sign of the residual dipolar couplings in local regions of the polypeptide; the population of helix estimated from the residual dipolar couplings is in excellent agreement with that determined from chemical shifts. The alignment model described here for apomyoglobin can also explain the pattern of residual dipolar couplings reported previously for denatured states of staphylococcal nuclease and other proteins. In conjunction with other NMR experiments, residual dipolar couplings can provide valuable insights into the dynamic conformational propensities of unfolded and partly folded states of proteins and thereby help to chart the upper reaches of the folding landscape.     

Theoretical framework for NMR residual dipolar couplings in unfolded proteins

A theoretical framework for the prediction of nuclear magnetic resonance (NMR) residual dipolar couplings (RDCs) in unfolded proteins under weakly aligning conditions is presented. The unfolded polypeptide chain is modeled as a random flight chain while the alignment medium is represented by a set of regularly arranged obstacles. For the case of bicelles oriented perpendicular to the magnetic field, a closed-form analytical result is derived. With the obtained analytical expression the RDCs are readily accessible for any locus along the chain, for chains of differing length, and for varying bicelle concentrations. The two general features predicted by the model are (i) RDCs in the center segments of a polypeptide chain are larger than RDCs in the end segments, resulting in a bell-shaped sequential distribution of RDCs, and (ii) couplings are larger for shorter chains than for longer chains at a given bicelle concentration. Experimental data available from the literature confirm the first prediction of the model, providing a tool for recognizing fully unfolded polypeptide chains. With less certainty experimental data appear to support the second prediction as well. However, more systematic experimental studies are needed in order to validate or disprove the predictions of the model. The presented framework is an important step towards a solid theoretical foundation for the analysis of experimentally measured RDCs in unfolded proteins in the case of alignment media such as polyacrylamide gels and neutral bicelle systems which align biomacromolecules by a steric mechanism. Various improvements and generalizations are possible within the suggested approach.     

Short-range, long-range and transition state interactions in the denatured state of ACBP from residual dipolar couplings

Residual dipolar couplings in the denatured state of bovine acyl-coenzyme A binding protein (ACBP) oriented in strained polyacrylamide gels have been shown to be a sensitive, sequence-specific probe for residual secondary structure. Results supporting this were obtained by comparing residual dipolar couplings under different denaturing conditions. The data were analyzed using the program molecular fragment replacement (MFR), which demonstrated alpha-helix propensity in four isolated stretches along the protein backbone, and these coincide with the location of native helices. This is in full agreement with earlier findings based on secondary chemical shift values. Furthermore, N-H residual dipolar couplings provided direct evidence for the existence of native-like hydrophobic interactions in the acid-denatured state of ACBP at pH 2.3. It was shown that replacement of the hydrophobic side-chain of residue Ile27 with alanine in helix A2 leads to large decreases of residual dipolar couplings in residues that form helix A4 in the native state. It is suggested that the Ile to Ala mutation changes the probability for the formation of long-range interactions, which are present in the acid-denatured state of the wild-type protein. These long-range interactions are similar to those proposed to form in the transition state of folding of ACBP. Therefore, the application of residual dipolar couplings in combination with a comparative mutation study has demonstrated the presence of precursors to the folding transition state under acid-unfolding conditions.     

Sign determination of dipolar couplings in field-oriented bicelles by variable angle sample spinning (VASS)

Residual dipolar couplings are being increasingly used as structural constraints for NMR studies of biomolecules. A problem arises when dipolar coupling contributions are larger than scalar contributions for a given spin pair, as is commonly observed in solid state NMR studies, in that signs of dipolar couplings cannot easily be determined. Here the sign ambiguities of dipolar couplings in field-oriented bicelles are resolved by variable angle sample spinning (VASS) techniques. The director behavior of field-oriented bicelles (DMPC/DHPC, DMPC/CHAPSO) in VASS is studied by ³¹P NMR. A stable configuration occurs when the spinning angle is smaller than the magic angle, 54.7°, and the director (or bicelle normal) of the disks is mainly distributed in a plane perpendicular to the rotation axis. Since the dipolar couplings depend on how the bicelles are oriented with respect to the magnetic field, it is shown that the dipolar interaction can be scaled to the same order as the J-coupling by moving the spinning axis from 0° toward 54.7°. Thus the relative sign of dipolar and scalar couplings can be determined.     

Alignment of chain-like molecules

The steric obstruction model, that describes the enhanced alignment of folded proteins by anisotropic medium, is extended to account for the residual dipolar couplings of chain-like polypeptides. The average alignment of each chain segment is calculated from an ensemble of conformations represented by a spatial probability distribution. The segmental alignment depends on chain length, flexibility and segment's position in the chain. Residual dipolar couplings in turn depend on internuclear vector directions within each fragment. The results of calculations and simulations explain salient features of the experimental data. With this insight residual dipolar couplings can be interpreted to assess the degree of denaturation, local structures and spatial organization of weakly structured proteins.     

Measurement of Scaled Residual Dipolar Couplings in Proteins Using Variable-angle Sample Spinning

NMR spectra of ubiquitin in the presence of bicelles at a concentration of 25% w/v have been recorded under sample spinning conditions for different angles of rotation. For an axis of rotation equal to the magic angle, the (1)H/(15)N HSQC recorded without any (1)H decoupling in the indirect dimension corresponds to the classical spectrum obtained on a protein in an isotropic solution and allows the measurement of scalar J-couplings (1) J (NH). For an angle of rotation smaller than the magic angle, the bicelles orient with their normal perpendicular to the spinning axis, whereas for an angle of rotation greater than the magic angle the bicelles orient with their normal along the spinning axis. This bicelle alignment creates anisotropic conditions that give rise to the observation of residual dipolar couplings in ubiquitin. The magnitude of these dipolar couplings depends directly on the angle that the rotor makes with the main magnetic field. By changing this angle in a controlled manner, residual dipolar couplings can be either scaled up or down thus offering the possibility to study simultaneously a wide range of dipolar couplings in the same sample.     

Current applications of bicelles in NMR studies of membrane-associated amphiphiles and proteins

This review covers current trends in studies of membrane amphiphiles and membrane proteins using both fast tumbling bicelles and magnetically aligned bicelle media for both solution state and solid state NMR. The fast tumbling bicelles provide a versatile biologically mimetic membrane model, which in many cases is preferable to micelles, both because of the range of lipids and amphiphiles that may be combined and because radius of curvature effects and strain effects common with micelles may be avoided. Drug and small molecule binding and partitioning studies should benefit from their application in fast tumbling bicelles, tailored to mimic specific membranes. A wide range of topology and immersion depth studies have been shown to be effective in fast tumbling bicelles, while residual dipolar couplings add another dimension to structure refinement possibilities, particularly for situations in which the peptide is uniformly labeled with 15N and 13C. Solid state NMR studies of polytopic transmembrane proteins demonstrate that it is possible to express, purify, and reconstitute membrane proteins, ranging in size from single transmembrane domains to seven-transmembrane GPCRs, into bicelles. The line widths and quality of the resulting 15NH dipole-15N chemical shift spectra demonstrate that there are no insurmountable obstacles to the study of large membrane proteins in magnetically aligned media.     

Three-dimensional structure of the transmembrane domain of Vpu from HIV-1 in aligned phospholipid bicelles

The three-dimensional backbone structure of the transmembrane domain of Vpu from HIV-1 was determined by solid-state NMR spectroscopy in two magnetically-aligned phospholipid bilayer environments (bicelles) that differed in their hydrophobic thickness. Isotopically labeled samples of Vpu(2-30+), a 36-residue polypeptide containing residues 2-30 from the N-terminus of Vpu, were incorporated into large (q = 3.2 or 3.0) phospholipid bicelles composed of long-chain ether-linked lipids (14-O-PC or 16-O-PC) and short-chain lipids (6-O-PC). The protein-containing bicelles are aligned in the static magnetic field of the NMR spectrometer. Wheel-like patterns of resonances characteristic of tilted transmembrane helices were observed in two-dimensional (1)H/(15)N PISEMA spectra of uniformly (15)N-labeled Vpu(2-30+) obtained on bicelle samples with their bilayer normals aligned perpendicular or parallel to the direction of the magnetic field. The NMR experiments were performed at a (1)H resonance frequency of 900 MHz, and this resulted in improved data compared to lower-resonance frequencies. Analysis of the polarity-index slant-angle wheels and dipolar waves demonstrates the presence of a transmembrane alpha-helix spanning residues 8-25 in both 14-O-PC and 16-O-PC bicelles, which is consistent with results obtained previously in micelles by solution NMR and mechanically aligned lipid bilayers by solid-state NMR. The three-dimensional backbone structures were obtained by structural fitting to the orientation-dependent (15)N chemical shift and (1)H-(15)N dipolar coupling frequencies. Tilt angles of 30 degrees and 21 degrees are observed in 14-O-PC and 16-O-PC bicelles, respectively, which are consistent with the values previously determined for the same polypeptide in mechanically-aligned DMPC and DOPC bilayers. The difference in tilt angle in C14 and C16 bilayer environments is also consistent with previous results indicating that the transmembrane helix of Vpu responds to hydrophobic mismatch by changing its tilt angle. The kink found in the middle of the helix in the longer-chain C18 bilayers aligned on glass plates was not found in either of these shorter-chain (C14 or C16) bilayers.     

Structure determination of membrane proteins by NMR spectroscopy.

Current strategies for determining the structures of membrane proteins in lipid environments by NMR spectroscopy rely on the anisotropy of nuclear spin interactions, which are experimentally accessible through experiments performed on weakly and completely aligned samples. Importantly, the anisotropy of nuclear spin interactions results in a mapping of structure to the resonance frequencies and splittings observed in NMR spectra. Distinctive wheel-like patterns are observed in two-dimensional 1H-15N heteronuclear dipolar/15N chemical shift PISEMA (polarization inversion spin-exchange at the magic angle) spectra of helical membrane proteins in highly aligned lipid bilayer samples. One-dimensional dipolar waves are an extension of two-dimensional PISA (polarity index slant angle) wheels that map protein structures in NMR spectra of both weakly and completely aligned samples. Dipolar waves describe the periodic wave-like variations of the magnitudes of the heteronuclear dipolar couplings as a function of residue number in the absence of chemical shift effects. Since weakly aligned samples of proteins display these same effects, primarily as residual dipolar couplings, in solution NMR spectra, this represents a convergence of solid-state and solution NMR approaches to structure determination.     

Characterization of polyacrylamide-stabilized Pf1 phage liquid crystals for protein NMR spectroscopy

A new polymer-stabilized nematic liquid crystal has been characterized for the measurement of biomolecular residual dipolar couplings. Filamentous Pf1 phage were embedded in a polyacrylamide matrix that fixes the orientation of the particles. The alignment was characterized by the quadrupolar splitting of the ²H NMR water signal and by the measurement of ¹H-¹⁵N residual dipolar couplings (RDC) in the archeal translation elongation factor 1. Protein dissolved in the polymer-stabilized medium orients quantitatively as in media without polyacrylamide. We show that the quadrupolar splitting and RDCs are zero in media in which the Pf1 phage particles are aligned at the magic angle. This allows measurement of J and dipolar couplings in a single sample.     

Applications of Variable-angle Sample Spinning Experiments to the Measurement of Scaled Residual Dipolar Couplings and <Superscript>15</Superscript>N CSA in Soluble Proteins

NMR spectra of ubiquitin in the presence of bicelles at a concentration of 32% w/v have been recorded at 700 MHz under sample spinning conditions at the magic angle (54.7°) and at an angle of 45.5°. At the magic angle, the ¹H–¹⁵N HSQC spectrum of ubiquitin in bicelles is virtually indistinguishable from the one recorded on the protein in solution. Spinning the sample at the magic angle creates an isotropic environment with no preferred bicelle orientations, thus allowing the determination of scalar coupling constants. For an angle of rotation of 45.5°, the bicelles orient with their normal perpendicular to the spinning axis leading to the observation of strong residual dipolar couplings and chemical shift variations of the ¹⁵N resonances. Electronic supplementary material Electronic supplementary material is available for this article at and accessible for authorised users.     

Structural characterization of a mannose-binding protein-trimannoside complex using residual dipolar couplings

The ligand-binding properties of a 53 kDa homomultimeric trimer from mannose-binding protein (MBP) have been investigated using residual dipolar couplings (RDCs) that are easily measured from NMR spectra of the ligand and isotopically labeled protein. Using a limited set of 1H-15N backbone amide NMR assignments for MBP and orientational information derived from the RDC measurements in aligned media, an order tensor for MBP has been determined that is consistent with symmetry-based predictions of an axially symmetric system. 13C-1H couplings for a bound trisaccharide ligand, methyl 3,6-di-O-(alpha-D-mannopyranosyl)-alpha-D-mannopyranoside (trimannoside) have been determined at natural abundance and used as orientational constraints. The bound ligand geometry and orientational constraints allowed docking of the trimannoside ligand in the binding site of MBP to produce a structural model for MBP-oligosaccharide interactions.     

A liquid crystalline medium for measuring residual dipolar couplings over a wide range of temperatures

A mixture of dilauroyl phosphatidylcholine (DLPC) and 3-(cholamidopropyl)dimethylammonio-2-hydroxyl-1-propane sulfonate (CHAPSO) in water forms disc shaped bicelles that become ordered at high magnetic fields over a wide range of temperatures. As illustrated for the FK506 binding protein (FKBP), large residual dipolar couplings can be measured for proteins dissolved in low concentrations (5% w/v) of a DLPC/CHAPSO medium at a molar ratio of 4.2:1. This system is especially useful for measuring residual dipolar couplings for molecules that are only stable at low temperatures.     

Domain orientation and dynamics in multidomain proteins from residual dipolar couplings.

The data most commonly available for the determination of macromolecular structures in solution are NOE based distance estimates and spin-spin coupling constant based dihedral angle estimates. This information is, unfortunately, inherently short-range in nature. Thus, for many multidomain proteins, little information is available to accurately position weakly interacting domains with respect to each other. Recent studies of proteins aligned in dilute liquid crystalline solvents have shown the utility of measuring anisotropic spin interactions, such as residual dipolar couplings, to obtain unique long-range structural information. In this work, the latter approach is taken to explore the relative domain orientation in a two-domain fragment from the protein barley lectin. An approach based on singular value decomposition as opposed to simulated annealing is used to directly determine order tensors for each domain from residual (15)N-(1)H dipolar couplings, and the limitations of the two approaches are discussed. Comparison of the order tensor principal axis frames as separately determined for each domain indicates that the two domains are not oriented as in the crystal structure of wheat germ agglutinin, a highly homologous protein ( approximately 95% sequence identical). Furthermore, differences in the order tensor values suggest that the two domains are not statically positioned but are experiencing different reorientational dynamics and, to a large degree, may be considered to reorient independently. Data are also presented that suggest that a specific association occurs between one domain and the lipid bicelles comprising the liquid crystal solvent.     

Lipid dynamics in fast-tumbling bicelles with varying bilayer thickness: Effect of model transmembrane peptides

The morphology of q = 0.5 fast-tumbling bicelles prepared with three different acyl chain lengths has been investigated by NMR. It is shown that bicelles prepared with DLPC (12 C) and DHPC are on average larger than those containing DMPC or DPPC (14 and 16 C) and DHPC, which may be due to a higher degree of mixing between DLPC and DHPC. The fast internal mobility of the lipids was determined from natural abundance carbon-13 relaxation. A similar dynamical behaviour of the phospholipids in the three different bicelles was observed, although the DPPC lipid acyl chain displayed a somewhat lower degree of mobility, as evidenced by higher generalized order parameters throughout the acyl chain. Carbon-13 relaxation was also used to determine the effect of different model transmembrane peptides, with flanking Lys residues, on the lipid dynamics in the three different bicelles. All peptides had the effect of increasing the order parameters for the DLPC lipid, while no effect was observed on the longer lipid chains. This effect may be explained by a mismatch between the hydrophobic length of the peptides and the DLPC lipid acyl chain.     

Nuclear magnetic resonance studies of the N-terminal fragment of adenosine diphosphate ribosylation factor 1 in micelles and bicelles: influence of N-myristoylation

The N-terminal fragment of adenosine diphosphate (ADP) ribosylation factor 1 (ARF1) is proposed to be involved in the guanosine triphosphate- (GTP-) dependent, reversible association of the protein with membranes through the interaction of not only the N-linked myristoyl chain but also its highly conserved N-terminal hydrophobic residues. Based on the N-terminal sequence of this protein, specifically (13)C- and (15)N-labeled peptides were synthesized with and without an N-myristoyl anchor. The behavior, including structure, dynamics, and orientation, of these peptides in a lipid environment was then studied through a combination of solution (1)H nuclear magnetic resonance (NMR) techniques in micelles and heteronuclear solid-state NMR experiments in magnetically aligned bicelles. The work presented is an extension of the previously reported characterization of the myristoylated N-terminal fragment of ARF1 [Losonczi and Prestegard (1998) Biochemistry 37, 706-716] to include a comparison to a nonmyristoylated analogue. Results indicate that both myristoylated and nonmyristoylated peptides are alpha-helical in a lipid environment and that N-myristoylation does not greatly influence the structure of the peptides. Evidence is presented suggesting association of the peptides with bilayer disks through a combination of edge and surface interactions.