Assessment of molecular structure using frame-independent orientational restraints derived from residual dipolar couplings

Residual dipolar couplings measured in weakly aligning liquid-crystalline solvent contain valuable information on the structure of biomolecules in solution. Here we demonstrate that dipolar couplings (DCs) can be used to derive a comprehensive set of pairwise angular restraints that do not depend on the orientation of the alignment tensor principal axes. These restraints can be used to assess the agreement between a trial protein structure and a set of experimental dipolar couplings by means of a graphic representation termed a `DC consistency map'. Importantly, these maps can be used to recognize structural elements consistent with the experimental DC data and to identify structural parameters that require further refinement, which could prove important for the success of DC-based structure calculations. This approach is illustrated for the 42 kDa maltodextrin-binding protein.     

Determination of the residue-specific 15N CSA tensor principal components using multiple alignment media

The individual components of the backbone ¹⁵N CSA tensor, σ₁₁, σ₂₂, σ₃₃, and the orientation of σ₁₁ relative to the NH bond described by the angle β have been determined for uniformly labeled ¹⁵N, ¹³C ubiquitin from partial alignment in phospholipid bicelles, Pf1 phage, and poly(ethylene glycol) by measuring the residue-specific residual dipolar couplings and chemical shift deviations. No strong correlation between any of the CSA tensor components is observed with any single structural feature. However, the experimentally determined tensor components agree with the previously determined average CSA principal components [Cornilescu and Bax (2000) J. Am. Chem. Soc. 122, 10143–10154]. Significant deviations from the averages coincide with residues in β-strand or extended regions, while α-helical residue tensor components cluster close to the average values.Electronic Supplementary Material Supplementary material is available to authorised users in the online version of this article at .     

Application of Correlated Residual Dipolar Couplings to the Determination of the Molecular Alignment Tensor Magnitude of Oriented Proteins and Nucleic Acids

Residual dipolar couplings (RDC) between nuclear spins in partially aligned samples offer unique insights into biomacromolecular structure and dynamics. To fully benefit from the RDC data, accurate knowledge of the magnitude ( D (a)) and rhombicity ( R ) of the molecular alignment tensor, A, is important. An extended histogram method (EHM) is presented which extracts these parameters more effectively from dipolar coupling data. The method exploits the correlated nature of RDCs for structural elements of planar geometry, such as the one-bond (13)C'(i)-(13)C(i)(alpha), (13)C'(i)-(15)N(i+1), and (15)N(i+1)-(1)H(N)(i+1) couplings in peptide bonds of proteins, or suitably chosen combinations of (1) D (C1'H1'), (1) D (C2'H2'), (1) D (C1'C2'), (2) D (C2'H1'), (2) D (C1'H2'), and (3) D (H1'H2') couplings in nucleic acids, to generate an arbitrarily large number of synthetic RDCs. These synthetic couplings result in substantially improved histograms and resulting values of D (a) and R, compared with histograms generated solely from the original sets of correlated RDCs, particularly when the number of planar fragments for which couplings are available is small. An alternative method, complementary to the EHM, is also described, which uses a systematic grid search procedure, based on least-squares fitting of sets of correlated RDCs to structural elements of known geometry, and provides an unambiguous lower limit for the degree of molecular alignment.     

A novel interactive tool for rigid-body modeling of multi-domain macromolecules using residual dipolar couplings

Residual dipolar couplings (RDC), measured by dissolving proteins in dilute liquid crystal media, or by studying naturally paramagnetic molecules, have rapidly become established as routine measurements in the investigation of the structure of macromolecules by NMR. One of the most obvious applications of the previously inaccessible long-range angular information afforded by RDC is the accurate definition of domain orientation in multi-module macromolecules or complexes. In this paper we describe a novel program developed to allow the determination of alignment tensor parameters for individual or multiple domains in macromolecules from residual dipolar couplings and to facilitate their manipulation to construct low-resolution models of macromolecular structure. For multi-domain systems the program determines the relative orientation of individual structured domains, and provides graphical user-driven rigid-body modeling of the different modules relative to the common tensorial frame. Translational freedom in the common frame, and equivalent rotations about the diagonalized (x,y,z) axes are used to position the different modules in the common frame to find a model in best agreement with experimentally measured couplings alone or in combination with additional experimental or covalent information.     

A graphical method for the analysis of anisotropic rotational diffusion in proteins

A graphical method for the analysis of relaxation data is presented. It allows a fast estimation of the range of values of the components of the axially symmetric rotational diffusion tensor that are compatible with the experimental relaxation data. The graphical method clearly shows the contribution of different experimental relaxation parameters to the measured anisotropy. In particular, for proteins with moderate anisotropy, data from at least two N-H bonds forming angles close to 0° and 90° with respect to the principal axis of the rotational diffusional tensor are needed. For very anisotropic systems, combination of different relaxation parameters from a single residue is enough to characterize the local anisotropy.     

Calcium-dependent homoassociation of E-cadherin by NMR spectroscopy: changes in mobility,conformation and mapping of contact regions

Cadherins are calcium-dependent cell surface proteins that mediate homophilic cellular adhesion. The calcium-induced oligomerization of the N-terminal two domains of epithelial cadherin (ECAD12) was followed by NMR spectroscopy in solution over a large range of protein (10 microM-5 mM) and calcium (0-5 mM) concentrations. Several spectrally distinct states could be distinguished that correspond to a calcium-free monomeric form, a calcium-bound monomeric form, and to calcium-bound higher oligomeric forms. Chemical shift changes between these different states define calcium-binding residues as well as oligomerization contacts. Information about the relative orientation and mobility of the ECAD12 domains in the various states was obtained from weak alignment and 15N relaxation experiments. The data indicate that the calcium-free ECAD12 monomer adopts a flexible, kinked conformation that occludes the dimer interface observed in the ECAD12 crystal structure. In contrast, the calcium-bound monomer is already in a straight, non-flexible conformation where this interface is accessible. This mechanism provides a rational for the calcium-induced adhesiveness. Oligomerization induces chemical shift changes in an area of domain CAD1 that is centered at residue Trp-2. These shift changes extend to almost the entire surface of domain CAD1 at high (5 mM) protein concentrations. Smaller additional clusters of shift perturbations are observed around residue A80 in CAD1 and K160 in CAD2. According to weak alignment and relaxation data, the symmetry of a predominantly dimeric solution aggregate at 0.6 mM ECAD12 differs from the approximate C2-symmetry of the crystalline dimer.     

Improved low pH bicelle system for orienting macromolecules over a wide temperature range

We have prepared and characterized a novel bicelle system composed of 1,2-di-O-dodecyl-sn-glycero-3-phos- phocholine (DIODPC) and 3-(chloramidopropyl)dimethylammonio-2-hydroxyl-1-propane sulfonate (CHAPSO). At the optimal DIODPC/CHAPSO molar ratio of 4.3:1, this medium becomes magnetically oriented from pH 6.5 down to pH 1.0. Unlike previously reported bicelle preparations, these bicelles are chemically stable at low pH and are capable of inducing protein alignment, as illustrated by the large residual dipolar couplings measured for rusticyanin from Thiobacillus ferrooxidans at pH 2.1. The DIODPC/CHAPSO system is particularly useful for measuring residual dipolar couplings of macromolecules that require very acidic conditions.     

Characterization of surfactant liquid crystal phases suitable for molecular alignment and measurement of dipolar couplings

Media employed for imparting partial alignment onto solute molecules have recently attracted considerable attention, since they permit the measurement of NMR parameters for solute biomolecules commonly associated with solid state NMR. Here we characterize a medium which is based on a quasi-ternary surfactant system comprising cetylpyridinium bromide/hexanol/sodium bromide. We demonstrate that dilute solutions of this system can exist in liquid crystalline phases which orient in the magnetic field and allow the measurement of residual dipolar couplings under a variety of conditions. The present system is extremely versatile and robust, tolerating different buffer conditions, temperature ranges and concentrations.     

A new approach for applying residual dipolar couplings as restraints in structure elucidation

Residual dipolar couplings are useful global structural restraints. The dipolar couplings define the orientation of a vector with respect to the alignment tensor. Although the size of the alignment tensor can be derived from the distribution of the experimental dipolar couplings, its orientation with respect to the coordinate system of the molecule is unknown at the beginning of structure determination. This causes convergence problems in the simulated annealing process. We therefore propose a protocol that translates dipolar couplings into intervector projection angles, which are independent of the orientation of the alignment tensor with respect to the molecule. These restraints can be used during the whole simulated annealing protocol.     

Efficient and precise measurement of H(alpha)-C(alpha), C(alpha)-C', C(alpha)-C(beta) and H(N)-N residual dipolar couplings from 2D H(N)-N correlation spectra

A suite of experiments are presented for the measurement of H–C, C–C, C–C and H^N–N couplings from uniformly ¹⁵N, ¹³C labeled proteins. Couplings are obtained from a series of intensity modulated two-dimensional H^N–N spectra equivalent to the common ¹H–¹⁵N–HSQC spectra, alleviating many overlap and assignment issues associated with other techniques. To illustrate the efficiency of this method, H–C, C–C, and H^N–N isotropic scalar couplings were determined for ubiquitin from data collected in less than 4.5 h, C–C data collection required 10 h. The resulting couplings were measured with an average error of ±0.06, ±0.05, ±0.04 and ±0.10 Hz, respectively. This study also shows H–C and C–C couplings, valuable because they provide orientation of bond vectors outside the peptide plane, can be measured in a uniform and precise way. Superior accuracy and precision to existing 3D measurements for C–C couplings and increased precision compared to IPAP measurements for H^N–N couplings are demonstrated. Minor modifications allow for acquisition of modulated H^N–C 2D spectra, which can yield additional well resolved peaks and significantly increase the number of measured RDCs for proteins with crowded ¹H–¹⁵N resonances.