X-ray diffraction measurement of cosolvent accessible volume in rhombohedral insulin crystals.

X-ray crystallographic measurement of the number of solvent electrons in the unit cell of a protein crystal equilibrated with aqueous solutions of different densities provides information about preferential hydration in the crystalline state. Room temperature and cryo-cooled rhombohedral insulin crystals were equilibrated with 1.2M trehalose to study the effect of lowered water activity. The native and trehalose soaked crystals were isomorphous and had similar structures. Including all the low resolution data, the amplitudes of the structure factors were put on an absolute scale (in units of electrons per asymmetric unit) by constraining the integrated number of electrons inside the envelope of the calculated protein density map to equal the number deduced from the atomic model. This procedure defines the value of F(000), the amplitude at the origin of the Fourier transform, which is equal to the total number of electrons in the asymmetric unit (i.e. protein plus solvent). Comparison of the F(000) values for three isomorphous pairs of room temperature insulin crystals, three with trehalose and three without trehalose, indicates that 75±12 electrons per asymmetric unit were added to the crystal solvent when soaked in 1.2M trehalose. If all the water in the crystal were available as solvent for the trehalose, 304 electrons would have been added. Thus, the co-solvent accessible volume is one quarter of the total water in the crystal. Determination of the total number of electrons in a protein crystal is an essential first step for mapping the average density distribution of the disordered solvent.

Reversible swelling of SBMV is associated with reversible disordering.

The structures of the compact and swollen southern bean mosaic virus (SBMV) particles have been compared by X-ray diffraction and proton magnetic resonance (PMR). Small-angle X-ray scattering showed that removal of divalent cations at alkaline pH causes the particle diameter to increase from 289Å in the native SBMV by 12% in solution and by 9% in microcrystals. The swelling is fully reversible upon re-addition of Ca2+ and Mg2+ ions, as shown by the X-ray patterns at 6Å resolution and by the 270MHz PMR spectra. Beyond 30Å resolution, X-ray patterns from the compact SBMV in solution and in microcrystals show fine fringes of ∼1/225Å-1 width extending to 6Å resolution, whereas patterns from the swollen SBMV in solution and in microcrystals show only broader fringes of ∼1/90Å-1 width, Model calculations demonstrate that the fine fringes from compact SBMV arise from regular packing of the protein subunits on the icosahedral surface lattice; the smearing of fine fringes in the swollen virus pattern can be simulated by uncorrelated displacements of pentamers and hexamers of protein subunits, with a standard deviation of 6Å from their mean locations. The PMR spectrum of compact SBMV is poorly resolved, whereas PMR spectrum of swollen SBMV shows sharp resonances in the methyl proton region. The line-narrowing for a fraction of the aliphatic protons upon swelling cannot be accounted for by rotational relaxation of the particle of 6×106MW, but must be attributed to internal motion in small regions of the protein subunits.

Cross-beta order and diversity in nanocrystals of an amyloid-forming peptide.

The seven-residue peptide GNNQQNY from the N-terminal region of the yeast prion protein Sup35, which forms amyloid fibers, colloidal aggregates and highly ordered nanocrystals, provides a model system for characterizing the elusively protean cross-beta conformation. Depending on preparative conditions, orthorhombic and monoclinic crystals with similar lath-shaped morphology have been obtained. Ultra high-resolution (<0.5A spacing) electron diffraction patterns from single nanocrystals show that the peptide chains pack in parallel cross-beta columns with approximately 4.86A axial spacing. Mosaic striations 20-50 nm wide observed by electron microscopy indicate lateral size-limiting crystal growth related to amyloid fiber formation. Frequently obtained orthorhombic forms, with apparent space group symmetry P2(1)2(1)2(1), have cell dimensions ranging from /a/=22.7-21.2A, /b/=39.9-39.3A, /c/=4.89-4.86A for wet to dried states. Electron diffraction data from single nanocrystals, recorded in tilt series of still frames, have been mapped in reciprocal space. However, reliable integrated intensities cannot be obtained from these series, and dynamical electron diffraction effects present problems in data analysis. The diversity of ordered structures formed under similar conditions has made it difficult to obtain reproducible X-ray diffraction data from powder specimens; and overlapping Bragg reflections in the powder patterns preclude separated structure factor measurements for these data. Model protofilaments, consisting of tightly paired, half-staggered beta strands related by a screw axis, can be fit in the crystal lattices, but model refinement will require accurate structure factor measurements. Nearly anhydrous packing of this hydrophilic peptide can account for the insolubility of the crystals, since the activation energy for rehydration may be extremely high. Water-excluding packing of paired cross-beta peptide segments in thin protofilaments may be characteristic of the wide variety of anomalously stable amyloid aggregates.

A Description of the Techniques and Application of Molecular Replacement Used to Determine the Structure of Polyoma Virus Capsid at 22.5 Å Resolution.

The electron density map of polyoma virus capsid crystals solved at 22.5 Å resolution by molecular replacement [Rayment, Baker, Caspar & Murakami (1982). Nature (London), 295, 110-115] shows that the 72 capsomeres that form the polyoma capsid are all pentamers. An extensive series of refinement calculations were undertaken to demonstrate the validity of this unexpected result. This report describes the details of the data collection, structure determination and the tests of the methods applied. The refinement calculations demonstrate that the refined phases are insensitive to the initial phasing model for a wide variety of models. They also show that it is vital to include in the refinement calculations interpolated values for the unrecorded data. A variety of tests demonstrate that the all-pentamer structure of the polyoma capsid is determined by the diffraction amplitudes and the self-consistent constraint that the 72 capsomeres are arranged with icosahedral symmetry within a well defined limiting envelope.

Strain-specific morphologies of yeast prion amyloid fibrils.

Mass per length (mpl) measurements on single amyloid fibrils that specifically propagate the [VH], [VK], and [VL] strains of the yeast prion [PSI] reveal unanticipated differences in their structures. Many fibrils have approximately 1.0 prion molecule per 4.7-A cross-beta repeat period, which is consistent with a self-replicating model built by parallel beta-sheet hydrogen-bonding of like prion peptide segments, but other fibrils are definitely heavier. The predominantly straight fibrils of the dominant [VH] strain have a bimodal mpl distribution, corresponding to components with approximately 1.0 and 1.2 prions per repeat. Fibrils of the weaker [VK] strain, which are almost all wavy, have a monodisperse mpl distribution with a mean of 1.15 prions per repeat. The recessive [VL] strain sample has approximately 1.05 prions per repeat in single fibrils and includes approximately 10% double fibrils, which are rare in the duplicate [VH] and [VK] samples. All of these samples were assembled from purified recombinant Sup35 prion protein by seeded growth on nuclei extracted from yeast bearing the three [PSI] strains. Infectious and noninfectious spontaneously assembled fibrils of the recombinant prion protein also display different heterogeneous morphologies. The strain-specific morphological differences we have observed directly confirm the structural prediction of the protein-only prion theory but do not have an obvious molecular explanation.

Three-beam interference is a sensitive measure of the efficacy of macromolecular refinement techniques.

Triplet phases recorded from insulin crystals were used to measure the improvement of phases during model refinement and to quantify the contribution made by each step in the refinement. Conventional amplitude data were recorded to 1.5 A resolution from rhombohedral pig insulin crystals using 1.54 A Cu Kalpha radiation. An initial atomic model and starting phases were obtained from a published structure and the atomic model was refined against the amplitude data using CNS. The refined phases were compared with 800 triplet phases that were measured from similar crystals using a three-beam interference technique and 1.1 A wavelength synchrotron radiation. The solvent region was improved further using a novel density-modification procedure. Calculated triplet phases were obtained from the model after each step in the refinement and were compared with the recorded triplet phases. The average difference between the recorded triplet phases and the calculated triplet phases was used as an unbiased measure of the correctness of the model at each stage in the refinement. The average individual phase error was estimated from discrepancies from triplet phases after each refinement step. Conventional atomic refinement of an approximate starting model reduced the average individual phase error from 21.6 to 14.7 degrees. Improvement of the solvent region, including the difference-map flattening procedure, reduced the individual phase error by a further 2.6 degrees. Modeling the discrete disorder of four amino acids accounted for an additional 0.5 degrees improvement and the final individual phase error was 11.6 degrees.