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.     

Small-angle X-ray scattering studies of the structure of nucleosome core histone complexes in solution

The nucleosome core histone complex in solution at 2 M NaCl and pH 7 has a radius of gyration R_s, of 3.48 nm and a maximum dimension, L, of 12 nm. Its shape is disc-like with a mean thickness of 3 nm. The radius of gyration determined by us is of the same value as the radius of gyration of the complex in intact core particles (Braddock) et al., Biopolymers 1981, 20, 327). Thus, we conclude that the basic histone tails of the protein complex project about 2 nm from its central part.     

Conformation of human IgG subclasses in solution. Small-angle X-ray scattering and hydrodynamic studies

The structure of six human myeloma proteins: IgG1(Bal), IgG2(Klu), IgG3(Bak), IgG3(Het), IgG4(Kov) and IgG4(Pol), was studied in solution using small-angle X-ray scattering and hydrodynamic methods. For IgG1(Bal) and IgG3(Het) the experimental data, including radius of gyration (Rg degree), radii of gyration of the cross-section (Rq1, Rq2), intrinsic viscosity [eta], sedimentation coefficient (S degree 20,w) and molecular mass, were interpreted in terms of structural models based on the Fab and Fc conformations, observed in crystal, by varying the relative positions of the Fab and Fc parts, i.e. their relative angles and distances. The values Rg degree = (6.00 +/- 0.05) nm, S degree 20,w = (6.81 +/- 0.10) S and [eta] = 0.0062 +/- 0.0005 cm3/mg obtained for IgG1(Bal) are compatible with a planar model in which the angle between the Fab arms is about 120 degrees. For IgG3(Het) the following data were obtained: Rg degree = (4.90 +/- 0.05) nm, S degree 20,w = (6.32 +/- 0.01) S and [eta] = (0.0065 +/- 0.0005) cm3/mg. The apparent contradiction between the higher molecular mass and lower Rg degree and S degree 20,w values for IgG3(Het) in comparison to IgG1(Bal) can be resolved by proposing a 'non-planar' (tetrahedral) molecular shape, in which the long hinge peptide is in a folded conformation and the two Fab and Fc parts are in a closely packed arrangement. In this model the angle between the two Fab arms is about 90 degrees, in the average position. The X-ray scattering and hydrodynamic behaviour of the IgG2 and IgG4 types of antibodies appeared to be similar to IgG1(Bal). The parameters of the two IgG3 proteins are similar while they are different to the others.     

Small-angle X-ray scattering studies of Escherichia colil-asparaginase

Small angle X-ray scattering studies on Escherichia colil-asparaginase solutions show that the enzyme has a radius of gyration of 34.0 Å ± 0.5 Å at pH 7. The radius of gyration of the dissociated monomer is 16.0 Å ± 1.0 Å; it has the general shape of a prolate ellipsoid with an axial ratio of 1.4. A tetramer of four such ellipsoids arranged with 222 symmetry gives good agreement between measured and calculated radii of gyration if the distance between subunit centers is 43 Å. The tetramer dissociates on dilution below 1% and at pH values below 3.0. Acid-induced denaturation at pH 2.0 is irreversible in contrast to the reversible guanidine-HCl-induced denaturation.     

Small-angle X-ray scattering reveals the solution structure of the full-length DNA gyrase a subunit

DNA gyrase is the topoisomerase uniquely able to actively introduce negative supercoils into DNA. Vital in all bacteria, but absent in humans, this enzyme is a successful target for antibacterial drugs. From biophysical experiments in solution, we report the low-resolution structure of the full-length A subunit (GyrA). Analytical ultracentrifugation shows that GyrA is dimeric, but nonglobular. Ab initio modeling from small-angle X-ray scattering allows us to retrieve the molecular envelope of GyrA and thereby the organization of its domains. The available crystallographic structure of the amino-terminal domain (GyrA59) forms a dimeric core, and two additional pear-shaped densities closely flank it in an unexpected position. Each accommodates very well a carboxyl-terminal domain (GyrA-CTD) built from a homologous crystallographic structure. The uniqueness of gyrase is due to the ability of the GyrA-CTDs to wrap DNA. Their position within the GyrA structure strongly suggests a large conformation change of the enzyme upon DNA binding.     

Small-angle X-ray scattering of human serum high-density lipoproteins

Small-angle x-ray scattering (SAXRS) studies of the human serum high-density lipoprotein HDL₂ indicate a symmetrical particle with a radius of gyration Rg = 46 Å. The positions and intensities of subsidiary maxima in the scattering curves are not consistent with those of a uniformly electron dense sphere. Scattering curves calculated for spheres with a step-model radial electron density distribution, show good agreement with the experimental scattering curve for HDL₂ only for specific values of the step function used. The dimensions obtained for the electron-deficient core and electron-rich shell model are quantitatively consistent with a predominantly surface location for the HDL₂ protein and phospholipid head groups, the more hydrocarbon species being located in the interior of the particle.     

Small-angle X-ray scattering reveals the solution structure of a bacteriophytochrome in the catalytically active Pr state

Phytochromes are light-sensing macromolecules that are part of a two component phosphorelay system controlling gene expression. Photoconversion between the Pr and Pfr forms facilitates autophosphorylation of a histidine in the dimerization domain (DHp). We report the low-resolution structure of a bacteriophytochrome (Bph) in the catalytic (CA) Pr form in solution determined by small-angle X-ray scattering (SAXS). Ab initio modeling reveals, for the first time, the domain organization in a typical bacteriophytochrome, comprising an chromophore binding and phytochrome (PHY) N terminal domain followed by a C terminal histidine kinase domain. Homologous high-resolution structures of the light-sensing chromophore binding domain (CBD) and the cytoplasmic part of a histidine kinase sensor allows us to model 75% of the structure with the remainder comprising the phytochrome domain which has no 3D representative in the structural database. The SAXS data reveal a dimeric Y shaped macromolecule and the relative positions of the chromophores (biliverdin), autophosphorylating histidine residues and the ATP molecules in the kinase domain. SAXS data were collected from a sample in the autophosphorylating Pr form and reveal alternate conformational states for the kinase domain that can be modeled in an open (no-catalytic) and closed (catalytic) state. This model suggests how light-induced signal transduction can stimulate autophosphorylation followed by phosphotransfer to a response regulator (RR) in the two-component system.     

Small-angle X-ray scattering analysis of stearic acid modified lipase

Stearic acid modified lipase (from Rhizopus japonicus) exhibited remarkable interesterification activity in n-hexane, but crude native lipase did not. The structure of the fatty acid modified lipase had not been analyzed until now. We analyzed the modified lipase by small-angle X-ray scattering (SAXS) measurements in order to clarify the structure. SAXS measurements showed that the modified lipase consisted of a lipid lamellar structure and implied that the lipase was incorporated into the lamellar structure of stearic acid. The long spacings in the lamellar structures of the modified lipase and stearic acid were measured.     

Small-angle X-ray scattering studies on the X-ray induced aggregation of malate synthase

Summary Malate synthase was investigated by the small-angle X-ray scattering technique in aqueous solution. Measurements extending for several hours revealed a continuous increase of the intensity in the innermost portion of the scattering curve. There is clear evidence that this increase was caused by an X-ray induced aggregation of enzyme particles during the performance of the small-angle X-ray scattering experiment. The monitoring of the aggregation process in situ by means of small-angle X-ray scattering led to a model of the way how the aggregation might proceed. The analysis of the scattering curves of malate synthase taken at various stages of aggregation established the retention of the thickness factor of the native enzyme and the occurrence of one and later on of two cross-section factors. The process of aggregation was also reflected by the increase of extension of the distance distribution function. According to these results, the first step of aggregation might be a linear side-by-side association of the oblate enzyme particles, a process which is followed by a twodimensional aggregation. An aggregation in the third dimension was not observed during the time covered by our experiment. The predominance of aggregation in only one or two dimensions was corroborated by comparison of appropriate theoretical scattering curves with the experimental curves. The theoretical scattering curves for this comparison were obtained by averaging over the properly weighted scattering curves calculated for various species of hypothetical aggregates. The time dependence of the apparent mean radius of gyration was used to compare the aggregation of enzyme samples that were irradiated under different experimental conditions. It turned out that by addition of dithiothreitol to the enzyme solutions as well as in the presence of the substrates (acetyl-CoA, glyoxylate) or of a substrate analogue (pyruvate) or of ethanol the rate of aggregation is reduced. Enzymic activity was found to decrease about exponentially with increasing X-ray dose. The presence of dithiothreitol or of the substrate glyoxylate or of the substrate analogue pyruvate protects the enzyme against X-ray induced inactivation. The substrate acetyl-CoA does not exhibit a comparable protective effect against inactivation. Measurements of enzymic activity and small-angle X-ray scattering on samples, which had been X-irradiated with a defined dose prior to the measurements, established two different series of efficiency for the protection of the enzyme against aggregation (pyruvate > glyoxylate > acetyl-CoA) and inactivation (glyoxylate > pyruvate > $$ " align="middle" border="0"> acetyl-CoA). The results showed that there is no direct relation between the extent of aggregation and the loss of enzymic activity.     

Small-angle x-ray scattering of bovine nasal cartilage proteoglycan in solution

The proteoglycan subunit (PGS) from bovine nasal cartilage was examined in water and in 0.15 N LiCl by small-angle x-ray scattering (SAXS). The molecular weight of 2.5 × 10⁶ and the radius of gyration, R_g = 493 Å, in 0.15 N LiCl, obtained by SAXS, are in good agreement with values reported by others for similar preparations. Values of the radius of gyration of the cross section, mass per unit length, and persistence length of the PGS are also reported. The low value of intrinsic viscosity ([η]) found in 0.15 N LiCl, and a comparison of the experimental distance distribution function to that of the theoretical distance distribution function for sphere, suggest that the PGS in salt solution approaches spherical symmetry. The much higher value of [η] in water suggests a prolate ellipsoid of low axial ratio.     

Characterization of proteins with wide-angle X-ray solution scattering (WAXS)

X-ray solution scattering in both the small-angle (SAXS) and wide-angle (WAXS) regimes is making an increasing impact on our understanding of biomolecular complexes. The accurate calculation of WAXS patterns from atomic coordinates has positioned the approach for rapid growth and integration with existing Structural Genomics efforts. WAXS data are sensitive to small structural changes in proteins; useful for calculation of the pair-distribution function at relatively high resolution; provides a means to characterize the breadth of the structural ensemble in solution; and can be used to identify proteins with similar folds. WAXS data are often used to test structural models, identify structural similarities and characterize structural changes. WAXS is highly complementary to crystallography and NMR. It holds great potential for the testing of structural models of proteins; identification of proteins that may exhibit novel folds; characterization of unfolded or natively disordered proteins; and detection of structural changes associated with protein function.     

Multi-wavelength anomalous diffraction using medium-angle X-ray solution scattering (MADMAX)

Proteins are dynamic molecules whose function in virtually all biological processes requires conformational motion. Direct experimental probes of protein structure in solution are needed to characterize these motions. Anomalous scattering from proteins in solution has the potential to act as a precise molecular ruler to determine the positions of specific chemical groups or atoms within proteins under conditions in which structural changes can take place free from the constraints of crystal contacts. In solution, anomalous diffraction has two components: a set of cross-terms that depend on the relative location of the anomalous centers and the rest of the protein, and a set of pure anomalous terms that depend on the distances between the anomalous centers. The cross-terms are demonstrated here to be observable and to provide direct information about the distance between the anomalous center and the center of mass of the protein. The second set of terms appears immeasurably small in the context of current experimental capabilities. Here, we outline the theory underlying anomalous scattering from proteins in solution, predict the anomalous differences expected on the basis of atomic coordinate sets, and demonstrate the measurement of anomalous differences at the iron edge for solutions of myoglobin and hemoglobin.     

Small-angle X-ray scattering studies of 7S and 11S globulins from pea (Pisum sativum)

Small-angle X-ray scattering studies have been conducted on solutions of 11S and 7S globulins isolated from peas (Pisum sativum cv. Filby), and the radii of gyration and molecular weights determined. The general features of the scattering curves were similar to those reported for other seed storage proteins.     

Validation of macromolecular flexibility in solution by small-angle X-ray scattering (SAXS)

The dynamics of macromolecular conformations are critical to the action of cellular networks. Solution X-ray scattering studies, in combination with macromolecular X-ray crystallography (MX) and nuclear magnetic resonance (NMR), strive to determine complete and accurate states of macromolecules, providing novel insights describing allosteric mechanisms, supramolecular complexes, and dynamic molecular machines. This review addresses theoretical and practical concepts, concerns, and considerations for using these techniques in conjunction with computational methods to productively combine solution-scattering data with high-resolution structures. I discuss the principal means of direct identification of macromolecular flexibility from SAXS data followed by critical concerns about the methods used to calculate theoretical SAXS profiles from high-resolution structures. The SAXS profile is a direct interrogation of the thermodynamic ensemble and techniques such as, for example, minimal ensemble search (MES), enhance interpretation of SAXS experiments by describing the SAXS profiles as population-weighted thermodynamic ensembles. I discuss recent developments in computational techniques used for conformational sampling, and how these techniques provide a basis for assessing the level of the flexibility within a sample. Although these approaches sacrifice atomic detail, the knowledge gained from ensemble analysis is often appropriate for developing hypotheses and guiding biochemical experiments. Examples of the use of SAXS and combined approaches with X-ray crystallography, NMR, and computational methods to characterize dynamic assemblies are presented.     

Small-angle x-ray scattering investigation of the solution structure of troponin C

X-ray crystallographic studies of troponin C (Herzberg, O., and James, M.N.G. (1985) Nature 313, 653-659; Sundaralingam, M., Bergstrom, R., Strasburg, G., Rao, S.T., and Roychowdhury, P. (1985a) Science 227, 945-948) have revealed a novel protein structure consisting of two globular domains, each containing two Ca2+-binding sites, connected via a nine-turn alpha-helix, three turns of which are fully exposed to solvent. Since the crystals were grown at pH approximately 5, it is of interest to determine whether this structure is applicable to the protein in solution under physiological conditions. We have used small-angle x-ray scattering to examine the solution structure of troponin C at pH 6.8 and the effect of Ca2+ on the structure. The scattering data are consistent with an elongated structure in solution with a radius of gyration of approximately 23.0 A, which is quite comparable to that computed for the crystal structure. The experimental scattering profile and the scattering profile computed from the crystal structure coordinates do, however, exhibit differences at the 40-A level. A weak Ca2+-facilitated dimerization of troponin C was observed. The data rule out large Ca2+-induced structural changes, indicating rather that the molecule with Ca2+ bound is only slightly more compact than the Ca2+-free molecule.