Shape and length of myosin heads.

There is controversy concerning the shape and length of myosin heads. In the present paper we try to analyse the data and to draw clear conclusions in this field. When the myosin heads are isolated (S1) from the rest of the molecule, their length is approximately 12 nm and their shape is close to that of a prolate ellipsoid with an axial ratio approximately 2.3 (in solution) or close to that of a comma when attached to F-actin (with a length of 12-13 nm). When the myosin heads are observed on a whole molecule, their length is approximately 19 nm and they are pear-shaped. Here we suggest that all these observations are compatible. We believe that, for a whole myosin molecule, a large part of the head-rod joint (S1/S2 joint) is measured with the head, owing to a particularly heavy staining or shadowing of this joint. On the other hand, S1 is probably built up of a head part plus the S1/S2 joint, which is not revealed by the usual techniques (hydrodynamics, X-ray and neutron scattering). Finally, the comma shape would be related to a flexible part in the head region of S1, which is significantly bent when S1 is attached to F-actin, but which would be less bent for S1 in solution. A similar bending also occurs in crystalline S1.     

Evidence for a folded conformation of the cell wall protein fromAcetabularia (Polyphysa) cliftonii

Summary The cell wall protein fromAcetabularia has a non-random structure in aqueous solution at pH 5.3, as determined on the basis of intrinsic viscosity, sedimentation velocity and small angle X-ray scattering experiments. This non-random structure is stable in a pH range of 4.5–6.8, as observed on the basis of circular dichroism and viscosity measurements, supporting that the cell wall protein has a specific folded structure. All hydrodynamic measurements, including small angle X-ray scattering in solution, in this pH range are consistent with a prolate ellipsoid model for the shape of this protein, with overall dimensions ofc=86.0 Å,b=7.0 Å, anda=7.5 Å, and with a radius of gyration ofR=39.5 Å. The possibility of a coiled shape was investigated using a worm-like chain model, but it was inconsistent with the experimental data. Instead, a filled particle with uniform density which is equivalent in the scattering behavior is proposed. By a comparison of the observed radius of gyration, R_g=39.5 Å, and the radius of gyration of the cross section,R _c =7.5 Å, we were able to describe the cell wall protein in terms of a prolate ellipsoid of revolution. Comparisons of the experimental scattering curve, plotted as logl (h) versus logh, with the corresponding plots of normalized intensities, calculated for particles of particular shape and various axial ratios indicate a very asymmetric shape for the cell wall protein fromAcetabularia.This research was supported by a grant of the Deutsche Forschungsgemeinschaft.     

The shape of myosin subfragment-1. A equivalent oblate ellipsoid model based on hydrodynamic properties

The molecular weights of the two heads of myosin subfragment-1, S-1(A1) and S-1(A2), based on sedimentation equilibrium are 120 000 and 110 000. Hydrodynamically, the two heads are indistinguishable, with intrinsic viscosity, [eta], of 0.064-0.065 dL/g and sedimentation coefficient, s(0)20,w, of 5.8 S.Together with the rotational correlation time taken from the literature (235 ns), all three hydrodynamic properties can be better fitted with an equivalent oblate ellipsoid of revolution than a prolate model. The width of the equatorial axis of the ellipsoid is about 135 A (the axial ratio is about 6). Probably, the S-1(A1) and S-1(A2) molecules have a half-doughnutlike or a flattened pearlike shape rather than an elongated one.     

Protein structure probed by polarization spectroscopy. II. A time-resolved fluorescence study of human fibrinogen

Human fibrinogen in solution was studied by monitoring the time-resolved depolarization of the fluorescence emitted by two spectroscopic labels of which the fluorescence lifetimes differ by an order of magnitude. Contrary to a long-held view, no evidence of molecular flexibility was found in the 10-1000 ns range. In addition, from the rate of the overall rotation, it is proposed that a prolate and symmetric ellipsoid of 47 X 10.5 nm may represent the time-averaged hydrodynamic size and shape of the protein in solution. This rigid and highly hydrated structure (4 g water/g protein) accommodates the latest nodular models obtained from electron microscopy, explains the singular hydrodynamics of fibrinogen and, apparently, it would perform the two main functions of the protein in haemostasis, blood coagulation and platelet aggregation, more efficiently than the flexible molecule.     

Shape of protein L11 from the 50S ribosomal subunit of Escherichia coli.

Protein L11 from the 50S ribosomal subunit of Escherichia coli A19 was purified by a method using nondenaturing conditions. Its shape in solution was studied by hydrodynamic and low-angle x-ray scattering experiments. The results from both methods are in good agreement. In buffers similar to the ribosomal reconstitution buffer, the protein is monomeric at concentrations up to 3 mg/mL and has a molecular weight of 16 000-17 000. The protein molecule resembles a prolate ellipsoid with an axial ratio of 5-6:1 a radius of gyration of 34 A, and a maximal length of 150 A. From the low-angle x-ray diffraction data, a more refined model of the protein molecule has been constructed consisting of two ellipsoids joined by their long axes.     

Structural studies on the 30 S ribosomal subunit from Escherichia coli

Small-angle X-ray scattering curves computed for various 30 S subunit structures have been compared with the experimental scattering curve. The curve from the 30 S subunit is best approximated by that calculated for a 1:3.6:3.6 ellipsoidal structure. The rather prolate ellipsoidal model suggested by recent electron microscope studies gives a scattering curve considerably different from the 30 S curve, suggesting that the electron microscope model is not that found in solution. Analysis of the more extended portions of the experimental scattering curve suggests some internal structure. A model is proposed that contains RNA and protein in positions such that the calculated scattering curve shows more extensive, yet similar internal structure. Resultant constraints on the structure of the 30 S subunit in solution are given.     

Solution structure of human plasma fibronectin using small-angle X-ray and neutron scattering at physiological pH and ionic strength

Human plasma fibronectin has been investigated at physiological pH and ionic strength, by using small-angle X-ray and neutron scattering techniques. The results indicate that the molecule is disc shaped with an axial ratio of about 1:10. In fact, an ellipsoid of revolution with semiaxes a = 1.44 nm and b = c = 13.8 nm is in agreement with the experimental scattering data, and can also fully explain the rather extreme hydrodynamic parameters reported for fibronectin. The X-ray data gave a radius of gyration of 8.9 nm and a molecular weight of 510,000, whereas the neutron data gave slightly larger values, 9.5 nm and 530,000, respectively. From the volume of the best fitting ellipsoid we obtain a degree of hydration of 0.61 g H2O/g protein (dry weight). Neutron data, recorded at different D2O concentrations in the solvent, gave a match point of 43% D2O, which indicates that approximately 80% of the hydrogens bound to oxygen and nitrogen are exchangeable.     

Diffuse X-ray scatter from myosin heads in oriented synthetic filaments.

X-ray results are presented concerning the structural state of myosin heads of synthetic filaments in threads. These were made from purified rabbit skeletal muscle myosin and studied by x-ray diffraction and electron microscopy by Cooke et al. (Cooke, P. H., E. M. Bartels, G. F. Elliott, and R. A. Hughes, 1987, Biophys. J., 51:947-957). X-ray patterns show a meridional peak at a spacing of 14.4 nm. We concentrate here on the only other feature of the axial pattern: this is a central region of diffuse scatter, which we find to be similar to that obtained from myosin heads in solution (Mendelson, R. A., K. M. Kretzschmar, 1980, Biochemistry, 19:4103-4108). This means that the myosin heads have very large random displacements in all directions from their average positions, and that they are practically randomly oriented. The myosin heads do not contribute to the 14.4-nm peak, which must come entirely from the backbone. Comparison with x-ray data from the unstriated Taenia coli muscle of the guinea pig indicates that in this muscle at least 75% of the diffuse scatter comes from disordered myosin heads. The results confirm that the diffuse scatter in x-ray patterns from specimens that contain myosin filaments can yield information about the structural behavior of the myosin heads.     

Protein S1 from Escherichia coli ribosomes: an improved isolation procedure and shape determination by small-angle X-ray scattering.

Ribosomal protein S1 from Escherichia coli was studied in solution by small-angle X-ray scattering and the following parameters were obtained. The radius of gyration R = 8.0 +/- 0.2 nm; largest diameter D = 28 nm; molecular weight = (8--9) x 10(4). The data also yielded (with the assumption of a rigid particle with almost constant electron density) two radii of gyration of cross-section Rq1 = 2.5 +/- 0.1 nm and Rq2 = 1.05 +/- 0.05 nm and molecular volume = 140 nm3. The experimental scattering curve of S1 was compared with the theoretical scattering curves for several rigid triaxial homogeneous bodies and the closest fit was given by that of a flat elliptical cylinder with the dimensions of 4.5 nm and 0.88 nm for the two semiaxes and 26.5 nm for height. The results from the present X-ray scattering studies and those from limited proteolytic digestion of protein S1 [J. Mol. Biol. 127, 41--54, (1979)] support the notion that the structure of protein S1 is organized into two distinct subdomains within its elongated overall shape. Protein S1 was purified for this study by an efficient procedure which yielded 12 mg S1/g ribosomes. The isolated protein was fully active in functional tests both before and after X-ray irradiation.     

An analysis by low-angle neutron scattering of the structure of the acetylcholine receptor from Torpedo californica in detergent solution.

The acetylcholine receptor from the electric tissue of Torpedo californica is a large, integral membrane protein containing four different types of polypeptide chains. The structure of the purified receptor in detergent solution has previously been investigated by sedimentation analysis and gel filtration. Sedimentation analysis yielded a molecular weight of 250,000 for the protein moiety of the receptor monomer-detergent complex; hydrodynamic characteristics such as the Stokes radius, however, refer to the receptor-detergent complex. In this paper we report the results of our use of low-angle neutron scattering to investigate the shape of the receptor-detergent (Triton X-100 from Rohm & Haas Co., Philadelphia, Pa.) complex and separately of its protein and detergent moieties. By adjustment of the neutron-scattering density of the solvent with D2O to match that of one or the other of the moieties, its contribution to the scattering can be nearly, if not completely, eliminated. Neutron scattering from Triton X-100 micelles established that this detergent is contrast matched in approximately 18% D2O. Scattering measurements on the receptor-detergent complex in this solvent yielded a radius of gyration of the acetylcholine receptor monomer of 46 +/- 1A. The radius of gyration and molecular volume (305,000 A3) of the receptor are inconsistent with a compact spherical shape. These parameters are consistent with, for example, a prolate cylinder of dimensions (length x diameter) approximately 150 x approximately 50 A or an oblate cylinder, approximately 25 x approximately 130 A. More complex shapes are possible and in fact seem to be required to reconcile the present results with previous electron microscopic and x-ray analyses of receptor in membrane and with considerations of the function of the receptor in controlling ion permeability. The neutron-scattering data yield, in addition, an independent determination of the molecular weight of the receptor protein (240,000 +/- 40,000), the extent of Triton X-100 binding in the complex (approximately 0.4 g/g protein), and from the extended scattering curve, an approximation to the shape of the receptor-Triton X-100 complex, namely an oblate ellipsoid of axial ratio 1:4.     

Structure of myosin subfragment 1 from low-angle X-ray scattering

The X-ray scattering pattern produced by a solution of myosin subfragment 1 has been measured to a resolution (Bragg spacing) of 2 nm. We find that for subfragment 1 (S1) prepared by limited papain digestion in the presence of ethylenediaminetetraacetate the radius of gyration is 3.28 +/- 0.06 nm, the volume is 151 +/- 6 nm3, the surface area is 330 +/- 15 nm2, and the length of the maximum chord is 12.0 +/- 1.0 nm. The theoretical scattering patterns from several objects of uniform electron density have been calculated and compared with the observed scattering produced by S1. The recent three-dimensional electron micrograph reconstruction of S1-decorated actin by J. Seymour and E. O'Brien (private communication) generated the calculated pattern that best fit the observed scattering. This fit strongly suggests that this reconstruction resembles subfragment 1. The good correspondence between an S1 structure derived when S1 is attached to actin and a study of free S1 in solution strongly suggests that binding to actin does not grossly distort the shape of S1. This is consistent with the notion that S1 changes its orientation on actin, rather than its shape, in order to generate the contractile force in muscle.     

On the subunit structure of crotoxin: hydrodynamic and shape properties of crotoxin, phospholipase A and crotapotin.

This paper reports physical-chemical properties of the subunit structure of crotoxin, phospholipase A and crotapotin. The native crotoxin has a sedimentation coefficient of 3S and a radius of gyration of R_g = 16.5 Å and a molecular weight of 30,900. Dissociation of the 3S particle results in two proteins of unequal size with sedimentation coefficients of 1.5 S (crotapotin) and 1S (phospholipase A). These dissociated species and the reconstituted complex were investigated by means of hydrodynamic methods including small angle X-ray scattering. The actual frictional ratios were obtained indicating that crotoxin is a sphere with a Stokes' radius of R_o = 22.5 Å and an axial ratio of 1:3, whereas phospholipase A, depending on the degree of association, has a radius of gyration of R_g = 32.4 Å and a high axial ratio of 1:14 for the monomer. Crotapotin has a radius of gyration of R_g = 12.4 Å, indicating an oblate ellipsoid of revolution of an axial ratio of 1:4. Evidently, the crotoxin complex consists of one highly asymmetric molecule (phospholipase A) and an oblate ellipsoid (crotapotin), which reconstitutes to a spherical 3S-particle (crotoxin).     

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.     

Refined model of the 10S conformation of smooth muscle myosin by cryo-electron microscopy 3D image reconstruction

The actin-activated ATPase activity of smooth muscle myosin and heavy meromyosin (smHMM) is regulated by phosphorylation of the regulatory light chain (RLC). Complete regulation requires two intact myosin heads because single-headed myosin subfragments are always active. 2D crystalline arrays of the 10S form of intact myosin, which has a dephosphorylated RLC, were produced on a positively charged lipid monolayer and imaged in 3D at 2.0 nm resolution by cryo-electron microscopy of frozen, hydrated specimens. An atomic model of smooth muscle myosin was constructed from the X-ray structures of the smooth muscle myosin motor domain and essential light chain and a homology model of the RLC was produced based on the skeletal muscle S1 structure. The initial model of the 10S myosin, based on the previous reconstruction of smHMM, was subjected to real space refinement to obtain a quantitative fit to the density. The smHMM was likewise refined and both refined models reveal the same asymmetric interaction between the upper 50 kDa domain of the "blocked" head and parts of the catalytic, converter domains and the essential light chain of the "free" head observed previously. This observation suggests that this interaction is not simply due to crystallographic packing but is enforced by elements of the myosin heads. The 10S reconstruction shows additional alpha-helical coiled-coil not seen in the earlier smHMM reconstruction, but the location of one segment of S2 is the same in both.     

Small-angle X-ray titration of the complex formed between the ribosomal protein S4 and its 16S binding site, S4-RNA: a central core in the 30S subunit.

X-ray scattering titrations at 21 degree C and in ribosomal reconstitution buffer indicate that the S4-RNA and the protein S4 from a 1:1 complex with a stability constant, log K approximately 6.5. When the complex forms, there is only a limited change in the scattering curve indicating that S4-RNA essentially retains its conformation during the complex formation. The increase in the gyration radius as a result of the complex formation, delta R = 4 +/- 3 A, as well as the experimental scattering curve of the complex can be explained by models where the protein S4 is supposed to interact with the periphery of the S4-RNA.     

Modeling the hydration of proteins: prediction of structural and hydrodynamic parameters from X-ray diffraction and scattering data

The implications of protein-water interactions are of importance for understanding the solution behavior of proteins and for analyzing the fine structure of proteins in aqueous solution. Starting from the atomic coordinates, by bead modeling the scattering and hydrodynamic properties of proteins can be predicted reliably (Debye modeling, program HYDRO). By advanced modeling techniques the hydration can be taken into account appropriately: by some kind of rescaling procedures, by modeling a water shell, by iterative comparisons to experimental scattering curves (ab initio modeling) or by special hydration algorithms. In the latter case, the surface topography of proteins is visualized in terms of dot surface points, and the normal vectors to these points are used to construct starting points for placing water molecules in definite positions on the protein envelope. Bead modeling may then be used for shaping the individual atomic or amino acid residues and also for individual water molecules. Among the tuning parameters, the choice of the scaling factor for amino acid hydration and of the molecular volume of bound water turned out to be crucial. The number and position of bound water molecules created by our hydration modeling program HYDCRYST were compared with those derived from X-ray crystallography, and the capability to predict hydration, structural and hydrodynamic parameters (hydrated volume, radius of gyration, translational diffusion and sedimentation coefficients) was compared with the findings generated by the water-shell approach CRYSOL. If the atomic coordinates are unknown, ab initio modeling approaches based on experimental scattering curves can provide model structures for hydrodynamic predictions.     

Nanosecond fluorometric investigation of hydrodynamic properties of adenosine triphosphatase from thermophilic bacterium PS3

The soluble portion (TF1) of proton-translocating ATPase from thermophilic bacterium PS3 was labeled with a fluorescent dye N-(1-pyrene)maleimide. The decay of fluorescence anisotropy of the adduct showed that TF1 in aqueous solution was characterized by a volume of equivalent sphere of 1,120 nm3. This value is 2.4 times the volume calculated from the molecular weight and partial specific volume, indicating a non-spherical shape and/or extensive hydration. A prolate ellipsoid with an axial ratio of 2 to 3 is suggested as a first approximation of the shape of hydrated TF1. The presence or absence of ATP, ADP, or Mg2+ did not alter the volume of the equivalent sphere appreciably; the probable conformational change of TF1 induced by these ligands does not lead to a gross alteration of its hydrodynamic properties.     

An estimation of the dimensions of the phycocyanin molecule

Knowledge of the total particle volume and the specific volumes of the constituent polar and nonpolar amino acid residues of a globular protein may be used in suitable instances to estimate the size and shape, of the macromolecule. Use has been made of the data, which is available in the literature for phycocyanin from Plectonema calothricoidcs, to predict possible models for the monomer and hexamer forms of this protein. The monomer is well represented by a prolate ellipsoid with semiaxes of 45 and 17Å and an approximate molecular weight of (46000). The hexamer is envisaged as the aggregate of six such monomers, in juxtaposition, with their major axes parallel so as to form a closed ring structure of about 268000 molecular weight. These proposed models are consistent with the previously published electron micrographs and hydrodynamic properties of this protein.     

Physicochemical characterization of γ-crystallins from bovine lens—Hydrodynamic and biochemical properties

A detailed hydrodynamic study has been made on the γ-crystallin of the bovine lens. Sedimentation study indicates that γ-crystallin shows a nearly gaussian peak throughout the course of sedimentation at high speed, using a synthetic boundary cell. The diffusion and sedimentation coefficients are 10.3×10^?7 cm²/sec and 2.51 S, respectively. The weight-average molecular weight of the unfractionated γ-crystallin calculated from sedimentation equilibrium is 21,800. The four major subfractions of γ-crystallin show similar hydrodynamic properties with an intrinsic viscosity of 2.50 ml/g and a Stokes radius of 21 Å. The distinct electrophoretic mobilities exhibited by the four subfractions show gel-concentration dependence and similar slopes in the Ferguson plot, indicative of being charge isomers of the same molecular species. Amino acid analysis of these four subfractions corroborated the conclusions that these γ-crystallin polypeptides are closely related and comprise a multigene family of crystallins. Based on the sedimentation and intrinsic viscosity data, γ-crystallin can be modeled as a prolate ellipsoid with an axial ratio of approximately 3.0 and a hydration factor of 0.27 g water per gram protein. The circular dichroism data for γ-crystallins showed a minimum at about 217 nm, characteristic of a β-sheet conformation. These structural characteristics are in good accord with those derived from X-ray diffraction data for γ-crystallin II.