Determination of protein oligomeric structure from small‐angle X‐ray scattering

Small‐angle X‐ray scattering (SAXS) is useful for determining the oligomeric states and quaternary structures of proteins in solution. The average molecular mass in solution can be calculated directly from a single SAXS curve collected on an arbitrary scale from a sample of unknown protein concentration without the need for beamline calibration or protein standards. The quaternary structure in solution can be deduced by comparing the experimental SAXS curve to theoretical curves calculated from proposed models of the oligomer. This approach is especially robust when the crystal structure of the target protein is known, and the candidate oligomer models are derived from the crystal lattice. When SAXS data are obtained at multiple protein concentrations, this analysis can provide insight into dynamic self‐association equilibria. Herein, we summarize the computational methods that are used to determine protein molecular mass and quaternary structure from SAXS data. These methods are organized into a workflow and demonstrated with four case studies using experimental SAXS data from the published literature.     

Divalent ion-dependent swelling of tomato bushy stunt virus: a multi-approach study

Time-resolved small-angle X-ray and neutron scattering (SAXS and SANS) in solution were used to study the swelling reaction of TBSV upon chelation of its constituent calcium at mildly basic pH. SAXS intensities comprise contribution from the protein capsid and the RNA moiety, while neutron scattering, recorded in 72% D2O, is essentially due to the protein capsid. Cryo-electron micrographs of compact and swollen virus were used to produce 3D reconstructions of the initial and final conformations of the virus at a resolution of 13 A and 19 A, respectively. While compact particles appear to be very homogeneous in size, solutions of swollen particles exhibit some size heterogeneity. A procedure has been developed to compute the SAXS pattern from the 3D reconstruction for comparison with experimental data. Cryo-electron microscopy thereby provides an invaluable starting (and ending) point for the analysis of the time-resolved swelling process using the scattering data.     

An x-ray scattering investigation of broad bean mottle virus in solutions of various electron densities

Low-angle X-ray scattering data to a resolution of 30 Å are presented for broad bean mottle virus suspended in buffer and in solutions of higher electron density produced by the addition of sucrose or the trisaccharide melezitose. Comparison of the scattered intensity distributions with those of simple model particles are made and radial electron density distributions are obtained. The results indicate that in buffer the virus particle has a radius of gyration of 117 Å, a mean outer radius of about 147 Å, and a nearly hollow core of about 60 Å radius. The scattering data for the virus in sugar solutions supports these results and indicates that much of the region within the virus open to water is also open to penetration by the sugar molecules. Melezitose can penetrate about 60% of the volume of the virus open to water while sucrose can penetrate nearly 90%. The region of the virus within 90 Å from the center is more easily penetrated by these sugars than the region from 90 Å to the surface. It is concluded that the virus at this resolution appears as a hollow, approximately spherically symmetric object with a high density and probably well organized RNA region enclosed by a protein shell into which some of the RNA penetrates.     

sHSPs under temperature and pressure: the opposite behaviour of lens alpha-crystallins and yeast HSP26

Small angle X-ray scattering was used to follow the temperature and pressure induced structural transitions of polydisperse native calf lens alpha-crystallins and recombinant human alphaB-crystallins and of monodisperse yeast HSP26. The alpha-crystallins were known to increase in size with increasing temperature, whereas HSP26 partially dissociates into dimers. SAXS intensity curves demonstrated that the average 40-mer calf alpha-crystallin converted into 80-mer in a narrow temperature range, from 60 to 69 degrees C, whereas the average 30-mer alphaB-crystallin was continuously transformed into 60-mer at lower temperature, from 40 to 60 degrees C. These temperature-induced transitions were irreversible. Similar transitions, yet reversible, could be induced with pressure in the 100 to 300 MPa pressure range. Moreover, temperature and pressure could be combined to lower the transition temperatures. On the other hand, SAXS curves recorded during pressure scans from 0.1 to 200 MPa with monodisperse 24-mer HSP26 revealed dissociation of the 24-mer into dimers. This dissociation was complete and reversible. Whatever the sHSP, a decrease of partial specific volume was found to be associated with the pressure induced quaternary structure transitions, in agreement with the hypothesis that such transitions represent a first step on the protein denaturation pathway.     

Completely monodisperse, highly repetitive proteins for bioconjugate capillary electrophoresis: development and characterization

Protein-based polymers are increasingly being used in biomaterial applications because of their ease of customization and potential monodispersity. These advantages make protein polymers excellent candidates for bioanalytical applications. Here we describe improved methods for producing drag-tags for free-solution conjugate electrophoresis (FSCE). FSCE utilizes a pure, monodisperse recombinant protein, tethered end-on to a ssDNA molecule, to enable DNA size separation in aqueous buffer. FSCE also provides a highly sensitive method to evaluate the polydispersity of a protein drag-tag and thus its suitability for bioanalytical uses. This method is able to detect slight differences in drag-tag charge or mass. We have devised an improved cloning, expression, and purification strategy that enables us to generate, for the first time, a truly monodisperse 20 kDa protein polymer and a nearly monodisperse 38 kDa protein. These newly produced proteins can be used as drag-tags to enable longer read DNA sequencing by free-solution microchannel electrophoresis.     

Temperature dependence of the structure of aggregates of tobacco mosaic virus protein at pH 7.2. Static synchrotron small-angle X-ray scattering

The small-angle X-ray scattering (SAXS) method using a synchrotron radiation source was applied to the study of the self-aggregation process of tobacco mosaic virus protein (TMVP) at a concentration of 5.0 or 12.0 mg ml-1 in 50 mM or 100 mM-phosphate buffer (ionic strengths approx. 0.1 and 0.2, respectively) at pH 7.2 in the temperature region of 4.8 to 25.0 degrees C. This paper presents the results of static measurements of SAXS. Sedimentation velocity experiments were performed simultaneously under the same conditions. These results are qualitatively parallel to those of the SAXS measurements, although the size of stacked disks derived from the SAXS measurements is larger than that derived from the sedimentation experiments, suggesting a change in the equilibrium conditions in the centrifugal field. Qualitative analysis of the SAXS data with model simulation calculations implies that the aggregation of TMVP consists of two steps: (1) the aggregation of A-protein comprising a few subunits to form double-layered disks; and (2) the random polymerization of double-layered disks by disk-stacking. Increase in temperature, ionic strength or protein concentration induced TMVP to polymerize to form a double-layered disk or a quadruple-layered short rod with consumption of A-proteins, accompanied by a small number of multi-layered short rods. The SAXS results indicate that the A-protein and the multilayered short rods are polydisperse with respect to size and shape, i.e. the mixture of A-protein, double-layered disks and multi-layered short rods coexists in the equilibrium state without pressure-induced partial dissociation of TMPV as observed during normal ultracentrifugation, and even under solution conditions in which the formation of double-layered disks or higher-order aggregates is favored.     

A hybrid NMR/SAXS‐based approach for discriminating oligomeric protein interfaces using Rosetta

Oligomeric proteins are important targets for structure determination in solution. While in most cases the fold of individual subunits can be determined experimentally, or predicted by homology‐based methods, protein–protein interfaces are challenging to determine de novo using conventional NMR structure determination protocols. Here we focus on a member of the bet‐V1 superfamily, Aha1 from Colwellia psychrerythraea. This family displays a broad range of crystallographic interfaces none of which can be reconciled with the NMR and SAXS data collected for Aha1. Unlike conventional methods relying on a dense network of experimental restraints, the sparse data are used to limit conformational search during optimization of a physically realistic energy function. This work highlights a new approach for studying minor conformational changes due to structural plasticity within a single dimeric interface in solution. Proteins 2015; 83:309–317. © 2014 Wiley Periodicals, Inc.     

Human cardiac myosin binding protein C: structural flexibility within an extended modular architecture

New insights into the modular organization and flexibility of the N-terminal half of human cardiac myosin binding protein C (cMyBP-C) and information on the association state of the full-length protein have been deduced from a combined small-angle X-ray scattering (SAXS) and NMR study. SAXS data show that the first five immunoglobulin domains of cMyBP-C, which include those implicated in interactions with both myosin and actin, remain monodisperse and monomeric in solution and have a highly extended yet distinctively ‘bent’ modular arrangement that is similar to the giant elastic muscle protein titin. Analyses of the NMR and SAXS data indicate that a proline/alanine-rich linker connecting the cardiac-specific N-terminal C0 domain to the C1 domain provides significant structural flexibility at the N-terminus of the human isoform, while the modular arrangement of domains C1–C2–C3–C4 is relatively fixed. Domain fragments from the C-terminal half of the protein have a propensity to self-associate in vitro, while full-length bacterially expressed cMyBP-C forms flexible extended dimers at micromolar protein concentrations. In summary, our studies reveal that human cMyBP-C combines a distinctive modular architecture with regions of flexibility and that the N-terminal half of the protein is sufficiently extended to span the range of interfilament distances sampled within the dynamic environment of heart muscle. These structural features of cMyBP-C could facilitate its putative role as a molecular switch between actin and myosin and may contribute to modulating the transverse pliancy of the C-zone of the A-band across muscle sarcomeres.     

A method for establishing stable concentration gradients in agar suitable for studying chemotaxis on a solid surface.

A simple technique has been developed for establishing stable gradients of a substance in agar. The technique involves the creation of a spherically symmetric concentration profile in which concentration varies inversely with the distance from the source and is independent of the diffusion coefficient of the substance. It has been shown that the gradients established with this technique are stable for at least 190 h. and, on a theoretical basis, they can be kept stable for more than 1000 h. Time-variant gradients can also be established, if desired, using the same system and limiting either the source or the agar sink. It must be emphasized that a stable gradient cannot be obtained by using a shallow agar layer as a sink. The use of such conditions (e.g. the agar in a standard petri dish) can result only in time-variant gradients. The solution to the diffusion equation in a spherically symmetric system establishes the expected concentration profile, the basis for adjusting it, and the parameters that control the behavior of the system. Some useful applications for examining chemotaxis on a solid surface as well as possible further developments are discussed.     

A review of multi-domain and flexible molecular chaperones studies by small-angle X-ray scattering

Intrinsic flexibility is closely related to protein function, and a plethora of important regulatory proteins have been found to be flexible, multi-domain or even intrinsically disordered. On the one hand, understanding such systems depends on how these proteins behave in solution. On the other, small-angle X-ray scattering (SAXS) is a technique that fulfills the requirements to study protein structure and dynamics relatively quickly with few experimental limitations. Molecular chaperones from Hsp70 and Hsp90 families are multi-domain proteins containing flexible and/or disordered regions that play central roles in cellular proteostasis. Here, we review the structure and function of these proteins by SAXS. Our general approach includes the use of SAXS data to determine size and shape parameters, as well as protein shape reconstruction and their validation by using accessory biophysical tools. Some remarkable examples are presented that exemplify the potential of the SAXS technique. Protein structure can be determined in solution even at limiting protein concentrations (for example, human mortalin, a mitochondrial Hsp70 chaperone). The protein organization, flexibility and function (for example, the J-protein co-chaperones), oligomeric status, domain organization, and flexibility (for the Hsp90 chaperone and the Hip and Hep1 co-chaperones) may also be determined. Lastly, the shape, structural conservation, and protein dynamics (for the Hsp90 chaperone and both p23 and Aha1 co-chaperones) may be studied by SAXS. We believe this review will enhance the application of the SAXS technique to the study of the molecular chaperones.     

Equilibrium model of a vascularized spherical carcinoma with central necrosis — Some properties of the solution

Properties of the solutions of a nonlinear time-independent diffusion equation are studied. The equation arises in a model of a spherically symmetric vascularized carcinoma with a central necrotic core. The boundary value problem as posed possesses a constant solution when the nutrient consumption rate and deposition rate (from the vascular network) are equal. This solution can lose uniqueness at a critical tumor dimension which corresponds to the onset of instability with respect to deviations from that uniform equilibrium state.     

Effects of gamma radiation on beta-lactoglobulin: oligomerization and aggregation

The conformational changes and aggregation process of beta-lactoglobulin (beta-LG) subjected to gamma irradiation are presented. Beta-LG in solutions of different protein concentrations (3 and 10 mg/ml) and in solid state with different water activities (a(w)) (0.22; 0.53; 0.74) was irradiated using a Cobalt-60 radiation source at dose level of 1-50 kGy. Small-angle X-ray scattering (SAXS) was used to study the conformational changes of beta-LG due to the irradiation treatment. The irradiated protein was also examined by high performance size exclusion chromatography (HPSEC) and sodium dodecyl sulfate-polyacrylamide gel electrophoresis (SDS-PAGE) under nonreducing and reducing conditions and fluorescence. SAXS analysis showed that the structural conformation of irradiated beta-LG in solid state at different a(w) and dose level was essentially the same as the nonirradiated beta-LG. The scattering data also showed that the irradiation of beta-LG in solution promoted the formation of oligomers. Interestingly, from the data analysis and model building, it could be shown that the formed oligomers are linear molecules, built by linear combinations of beta-LG dimers (tetramers, hexamers, etc). The formation of oligomers was also evidenced by SDS-PAGE analysis and HPSEC chromatograms, in which products with higher molecular mass than that of the dimeric beta-LG were detected. Formation of intermolecular cross-linking between tyrosyl radicals are proposed to be at least partially responsible for this occurrence. From the results it could be shown that the samples irradiated in solution presented some conformational changes under gamma irradiation, resulting in well ordered oligomers and aggregates formed by cross-linking of beta-LG dimers subunits, while the samples irradiated in the solid state were not modified.     

A model for the three-dimensional structure of human plasma vitronectin from small-angle scattering measurements

Small-angle X-ray scattering (SAXS) measurements were used to characterize vitronectin, a circulatory protein found in human plasma that functions in regulating cell adhesion and migration, as well as proteolytic cascades that affect blood coagulation, fibrinolysis, and pericellular proteolysis. SAXS measurements were taken over a 3-fold range of protein concentrations, yielding data that characterize a monodisperse system of particles with an average radius of gyration of 30.3 +/- 0.6 A and a maximum linear dimension of 110 A. Shape restoration was applied to the data to produce two models of the solution structure of the ligand-free protein. A low-resolution model of the protein was generated that indicates the protein to be roughly peanut-shaped. A better understanding of the domain structure of vitronectin resulted from low-resolution models developed from available high-resolution structures of the domains. These domains include the N-terminal domain that was determined experimentally by NMR [Mayasundari, A., Whittemore, N. A., Serpersu, E. H., and Peterson, C. B. (2004) J. Biol. Chem. 279, 29359-29366] and the docked structure of the central and C-terminal domains that were determined by computational threading [Xu, D., Baburaj, K., Peterson, C. B., and Xu, Y. (2001) Proteins: Struct., Funct., Genet. 44, 312-320]. This model provides an indication of the disposition of the central domain and C-terminal heparin-binding domains of vitronectin with respect to the N-terminal somatomedin B (SMB) domain. This model constructed from the available domain structures, which agrees with the low-resolution model produced from the SAXS data, shows the SMB domain well separated from the central and heparin-binding domains by a disordered linker (residues 54-130). Also, binding sites within the SMB domain are predicted to be well exposed to the surrounding solvent for ease of access to its various ligands.     

Frozen tissue can provide reproducible proteomic results of subcellular fractionation

Differential detergent fractionation (DDF) is frequently used to partition fresh cells and tissues into distinct compartments. We have tested whether DDF can reproducibly extract and fractionate cellular protein components from frozen tissues. Frozen kidneys were sequentially extracted with three different buffer systems. Analysis of the three fractions with liquid chromatography–tandem mass spectrometry (LC–MS/MS) identified 1693 proteins, some of which were common to all fractions and others of which were unique to specific fractions. Normalized spectral index (SI_N) values obtained from these data were compared to evaluate both the reproducibility of the method and the efficiency of enrichment. SI_N values between replicate fractions demonstrated a high correlation, confirming the reproducibility of the method. Correlation coefficients across the three fractions were significantly lower than those for the replicates, supporting the capability of DDF to differentially fractionate proteins into separate compartments. Subcellular annotation of the proteins identified in each fraction demonstrated a significant enrichment of cytoplasmic, cell membrane, and nuclear proteins in the three respective buffer system fractions. We conclude that DDF can be applied to frozen tissue to generate reproducible proteome coverage discriminating subcellular compartments. This demonstrates the feasibility of analyzing cellular compartment-specific proteins in archived tissue samples with the simple DDF method.     

Reversibility and hierarchy of thermal transition of hen egg-white lysozyme studied by small-angle x-ray scattering

To clarify mechanisms of folding and unfolding of proteins, many studies of thermal denaturation of proteins have been carried out at low protein concentrations because in many cases thermal denaturation accompanies a great tendency of aggregation. As small-angle x-ray scattering (SAXS) measurements are liable to use low-concentration solutions of proteins to avoid aggregation, SAXS has been regarded as very difficult to observe detailed features of thermal structural transitions such as intramolecular structural changes. By using synchrotron radiation SAXS, we have found that the presence of repulsive interparticle interaction between proteins can maintain solute particles separately to prevent further aggregation in thermal denaturation processes and that under such conditions the thermal structural transition of hen egg-white lysozyme (HEWL) holds high reversibility even at 5% w/v HEWL below pH approximately 5. Because of the use of the high concentration of the solutions, the scattering data has enough high-statistical accuracy to discuss the thermal structural transition depending on the structural hierarchy. Thus, the tertiary structural change of HEWL starts from mostly the onset temperature determined by the differential scanning calorimetry measurement, which accompanies a large heat absorption, whereas the intramolecular structural change, corresponding to the interdomain correlation and polypeptide chain arrangement, starts much prior to the above main transition. The present finding of the reversible thermal structural transitions at the high protein concentration is expected to enable us to analyze multiplicity of folding and unfolding processes of proteins in thermal structural transitions.     

Small-angle X-ray scattering studies of enzymes

Enzyme function requires conformational changes to achieve substrate binding, domain rearrangements, and interactions with partner proteins, but these movements are difficult to observe. Small-angle X-ray scattering (SAXS) is a versatile structural technique that can probe such conformational changes under solution conditions that are physiologically relevant. Although it is generally considered a low-resolution structural technique, when used to study conformational changes as a function of time, ligand binding, or protein interactions, SAXS can provide rich insight into enzyme behavior, including subtle domain movements. In this perspective, we highlight recent uses of SAXS to probe structural enzyme changes upon ligand and partner-protein binding and discuss tools for signal deconvolution of complex protein solutions.     

Self-assembly of single integral membrane proteins into soluble nanoscale phospholipid bilayers

One of the biggest challenges in pharmaceutical research is obtaining integral membrane proteins in a functional, solubilized, and monodisperse state that provides a native-like environment that maintains the spectrum of in vivo activities. Many of these integral membrane proteins are receptors, enzymes, or other macromolecular assemblies that are important drug targets. An example is the general class of proteins composed of seven-transmembrane segments (7-TM) as exemplified by the G-protein-coupled receptors. In this article, we describe a simple system for self-assembling bacteriorhodopsin, as a model protein containing 7-TM helices, with phospholipids to form a nanometer-scale soluble bilayer structure encircled by a 200 amino acid scaffold protein. The result is the single molecule incorporation of an integral membrane protein target into a soluble and monodisperse structure that allows the structural and functional tools of solution biochemistry to be applied.     

Structural memory of natively unfolded tau protein detected by small-angle X-ray scattering

Small-angle X-ray scattering (SAXS) is a universal low-resolution method to study size and shape of globular proteins in solution but recent developments facilitate the quantitative characterization of the structure and structural transitions of metastable systems like partially or completely unfolded proteins. We present here a study of temperature induced transitions in tau, a natively unfolded protein involved in Alzheimer's disease. Previous studies on full length tau and several disease-related mutants provided information about the residual structure in different domains revealing a specific role and extended conformations of the so-called repeat domains, which are considered to be responsible for the formation of amyloid-like fibrils ("paired helical filaments"). Here, we employ SAXS to investigate the temperature dependent properties of tau. Slow heating/cooling of the full length protein from 10°C to 50°C did not lead to detectable changes in the overall size. Surprisingly, quick heating/cooling caused tau to adopt a significantly more compact conformation, which was stable over up to 3 h and represents a structural "memory" effect. This compaction is not observed for the shorter tau constructs containing largely the repeat domains. The structural and functional implications of the observed unusual behavior of tau under nonequilibrium conditions are discussed.     

Improving protein template recognition by using small-angle x-ray scattering profiles

Small-angle x-ray scattering (SAXS) is able to extract low-resolution protein shape information without requiring a specific crystal formation. However, it has found little use in atomic-level protein structure determination due to the uncertainty of residue-level structural assignment. We developed a new algorithm, SAXSTER, to couple the raw SAXS data with protein-fold-recognition algorithms and thus improve template-based protein-structure predictions. We designed nine different matching scoring functions of template and experimental SAXS profiles. The logarithm of the integrated correlation score showed the best template recognition ability and had the highest correlation with the true template modeling (TM)-score of the target structures. We tested the method in large-scale protein-fold-recognition experiments and achieved significant improvements in prioritizing the best template structures. When SAXSTER was applied to the proteins of asymmetric SAXS profile distributions, the average TM-score of the top-ranking templates increased by 18% after homologous templates were excluded, which corresponds to a p-value < 10⁻⁹ in Student's t-test. These data demonstrate a promising use of SAXS data to facilitate computational protein structure modeling, which is expected to work most efficiently for proteins of irregular global shape and/or multiple-domain protein complexes.