Structure determination of tubular crystals of membrane proteins. III. Solvent flattening

Structural basis of interprotofilament interaction and lateral deformation of microtubules

The diverse functions of microtubules require stiff structures possessing sufficient lateral flexibility to enable bending with high curvature. We used cryo-electron microscopy to investigate the molecular basis for these critical mechanical properties. High-quality structural maps were used to build pseudoatomic models of microtubules containing 11-16 protofilaments, representing a wide range of lateral curvature. Protofilaments in all these microtubules were connected primarily via interprotofilament interactions between the M loops, and the H1'-S2 and H2-S3 loops. We postulate that the tolerance of the loop-loop interactions to lateral deformation provides the capacity for high-curvature bending without breaking. On the other hand, the local molecular architecture that surrounds these connecting loops contributes to the overall rigidity. Interprotofilament interactions in the seam region are similar to those in the normal helical regions, suggesting that the existence of the seam does not significantly affect the mechanical properties of microtubules.

Conformational change of flagellin for polymorphic supercoiling of the flagellar filament

The bacterial flagellar filament is a helical propeller rotated by the flagellar motor for bacterial locomotion. The filament is a supercoiled assembly of a single protein, flagellin, and is formed by 11 protofilaments. For bacterial taxis, the reversal of motor rotation switches the supercoil between left- and right-handed, both of which arise from combinations of two distinct conformations and packing interactions of the L-type and R-type protofilaments. Here we report an atomic model of the L-type straight filament by electron cryomicroscopy and helical image analysis. Comparison with the R-type structure shows interesting features: an orientation change of the outer core domains (D1) against the inner core domains (D0) showing almost invariant orientation and packing, a conformational switching within domain D1, and the conformational flexibility of domains D0 and D1 with their spoke-like connection for tight molecular packing.

High-resolution structural analysis of a DNA nanostructure by cryoEM

Many DNA nanostructures have been produced and a wide range of potential applications have been proposed. However, confirmation of accurate 3D construction is particularly challenging. Here, we demonstrate that cryoEM may be exploited to obtain structural information at sufficient resolution to visualize the DNA helix and reveal the absolute stereochemistry of a 7 nm self-assembled DNA tetrahedron. Structural analysis at such high resolution by cryoEM image analysis is unprecedented for any biological molecule of this size.

Electron digital imaging toward high-resolution structure analysis of biological macromolecules

Digital imaging has been applied to structure analysis of biological macromolecules in combination with electron energy filtering. Energy filtering can improve the image contrast of frozen-hydrated specimens, but needs a high-sensitivity imaging device instead of photographic film, because of a decrease in electrons after filtration. Here, a lens-coupled slow-scan charge-coupled device (SSCCD) camera with a post-column-type energy filter were examined to image bacterial flagellar filaments embedded in ice. We first measured the modulation transfer function of this camera and showed the remarkable improvement, compared to other fiber-coupled SSCCD cameras. The 3D structure calculated at approximately 7-angstroms resolution clearly resolves alpha-helices. Furthermore, filtered datasets recorded on the SSCCD camera with liquid-nitrogen and liquid-helium cooling were compared with the previous unfiltered one on film with liquid-helium cooling. This report describes the suitability of digital imaging with energy filtering for higher-resolution structure studies from its practical application.

Restoration of weak phase-contrast images recorded with a high degree of defocus: the "twin image" problem associated with CTF correction

Relatively large values of objective-lens defocus must normally be used to produce detectable levels of image contrast for unstained biological specimens, which are generally weak phase objects. As a result, a subsequent restoration operation must be used to correct for oscillations in the contrast transfer function (CTF) at higher resolution. Currently used methods of CTF correction assume the ideal case in which Friedel mates in the scattered wave have contributed pairs of Fourier components that overlap with one another in the image plane. This "ideal" situation may be only poorly satisfied, or not satisfied at all, as the particle size gets smaller, the defocus value gets larger, and the resolution gets higher. We have therefore investigated whether currently used methods of CTF correction are also effective in restoring the single-sideband image information that becomes displaced (delocalized) by half (or more) the diameter of a particle of finite size. Computer simulations are used to show that restoration either by "phase flipping" or by multiplying by the CTF recovers only about half of the delocalized information. The other half of the delocalized information goes into a doubly defocused "twin" image of the type produced during optical reconstruction of an in-line hologram. Restoration with a Wiener filter is effective in recovering the delocalized information only when the signal-to-noise ratio (S/N) is orders of magnitude higher than that which exists in low-dose images of biological specimens, in which case the Wiener filter approaches division by the CTF (i.e. the formal inverse). For realistic values of the S/N, however, the "twin image" problem seen with a Wiener filter is very similar to that seen when either phase flipping or multiplying by the CTF is used for restoration. The results of these simulations suggest that CTF correction is a poor alternative to using a Zernike-type phase plate when imaging biological specimens, in which case the images can be recorded in a close-to-focus condition, and delocalization of high-resolution information is thus minimized.

The beginning of kinesin's force-generating cycle visualized at 9-A resolution

We have used cryo-electron microscopy of kinesin-decorated microtubules to resolve the structure of the motor protein kinesin's crucial nucleotide response elements, switch I and the switch II helix, in kinesin's poorly understood nucleotide-free state. Both of the switch elements undergo conformational change relative to the microtubule-free state. The changes in switch I suggest a role for it in "ejecting" adenosine diphosphate when kinesin initially binds to the microtubule. The switch II helix has an N-terminal extension, apparently stabilized by conserved microtubule contacts, implying a microtubule activation mechanism that could convey the state of the bound nucleotide to kinesin's putative force-delivering element (the "neck linker"). In deriving this structure, we have adapted an image-processing technique, single-particle reconstruction, for analyzing decorated microtubules. The resulting reconstruction visualizes the asymmetric seam present in native, 13-protofilament microtubules, and this method will provide an avenue to higher-resolution characterization of a variety of microtubule- binding proteins, as well as the microtubule itself.

Structure determination of tubular crystals of membrane proteins. IV. Distortion correction and its combined application with real-space averaging and solvent flattening

A method for correction of three-dimensional distortions has been developed for helical assemblies and applied to tubular crystals of Ca2+-ATPase. This method approximates distorted helical particles with short straight segments of different orientation parameters, which are determined by fitting them to the reference data in reciprocal space. Thus, the method follows Beroukhim and Unwin [Ultramicroscopy 70 (1997) 57], but is more extended to achieve better alignment and to cope with images of poor S/N ratio. Substantial improvements were achieved by dividing the reference image into the segments of optimal lengths in exactly the same way as the test, and treating the distortions in the near and far sides of a helical particle separately. The improvement was further enhanced when combined with real-space averaging [Yonekura, Toyoshima, Ultramicroscopy 84 (2000) 15] and solvent flattening [Yonekura, Toyoshima, Ultramicroscopy 84 (2000) 29], and most pronounced when all these three were applied iteratively.

Electron energy filtering significantly improves amplitude contrast of frozen-hydrated protein at 300kV

The amplitude contrast of frozen-hydrated biological samples was measured using the bacterial flagellar filament embedded in vitreous ice at an accelerating voltage of 300kV. From the mean radial amplitude spectra of overfocused images, amplitude contrast was estimated to be 6.9+/-1.9% and 2.7+/-1.0% of the whole contrast at the low spatial frequency range with and without energy filtering, respectively, and that of the carbon film to be 9.5+/-2.0% and 5.8+/-1.8%. Energy filtering effectively doubled the signal-to-noise ratio in the images of frozen-hydrated filaments, and substantially improved intensity data statistics of layer lines up to at least approximately 25A resolution in their Fourier transforms. It also markedly improved inter-particle fitting phase residuals of averaged data at resolutions up to approximately 15A. Using the energy filtered data recorded on a new high-performance, lens-coupled CCD camera the three-dimensional map of the flagellar filament was calculated at 8A by applying the amplitude contrast of 6.9%. The map and its mean radial density distribution validated the obtained value of the amplitude contrast.

Structure determination of clathrin coats to subnanometer resolution by single particle cryo-electron microscopy

Clathrin triskelions can assemble into lattices of different shapes, sizes and symmetries. For many years, the structures of clathrin lattices have been studied by single particle cryo-electron microscopy, which probed the architecture of the D6 hexagonal barrel clathrin coat at the molecular level. By introducing additional image processing steps we have recently produced a density map for the D6 barrel clathrin coat at subnanometer resolution, enabling us to generate an atomic model for this lattice [Fotin, A., Cheng, Y., Sliz, P., Grigorieff, N., Harrison, S.C., Kirchhausen, T., Walz, T., 2004. Molecular model for a complete clathrin lattice from electron cryomicroscopy. Nature 432, 573-579]. We describe in detail here the image processing steps that we have added to produce a density map at this high resolution. These procedures should be generally applicable and may thus help determine the structures of other large protein assemblies to higher resolution by single particle cryo-electron microscopy.

Application of the iterative helical real-space reconstruction method to large membranous tubular crystals of P-type ATPases

Since the development of three-dimensional helical reconstruction methods in the 1960's, advances in Fourier-Bessel methods have facilitated structure determination to near-atomic resolution. A recently developed iterative helical real-space reconstruction (IHRSR) method provides an alternative that uses single-particle analysis in conjunction with the imposition of helical symmetry. In this work, we have adapted the IHRSR algorithm to work with frozen-hydrated tubular crystals of P-type ATPases. In particular, we have implemented layer-line filtering to improve the signal-to-noise ratio, Wiener-filtering to compensate for the contrast transfer function, solvent flattening to improve reference reconstructions, out-of-plane tilt compensation to deal with flexibility in three dimensions, systematic calculation of Fourier shell correlations to track the progress of the refinement, and tools to control parameters as the refinement progresses. We have tested this procedure on datasets from Na(+)/K(+)-ATPase, rabbit skeletal Ca(2+)-ATPase and scallop Ca(2+)-ATPase in order to evaluate the potential for sub-nanometer resolution as well as the robustness in the presence of disorder. We found that Fourier-Bessel methods perform better for well-ordered samples of skeletal Ca(2+)-ATPase and Na(+)/K(+)-ATPase, although improvements to IHRSR are discussed that should reduce this disparity. On the other hand, IHRSR was very effective for scallop Ca(2+)-ATPase, which was too disordered to analyze by Fourier-Bessel methods.

Building the atomic model for the bacterial flagellar filament by electron cryomicroscopy and image analysis

The bacterial flagellar filament is a helical propeller for bacterial locomotion. It is a well-ordered helical assembly of a single protein, flagellin, and its tubular structure is formed by 11 protofilaments, each in either of the two distinct conformations, L- and R-type, for supercoiling. We have been studying the three-dimensional structures of the flagellar filaments by electron cryomicroscopy and recently obtained a density map of the R-type filament up to 4 angstroms resolution from an image data set containing only about 41,000 molecular images. The density map showed the features of the alpha-helical backbone and some large side chains, which allowed us to build the complete atomic model as one of the first atomic models of macromolecules obtained solely by electron microscopy image analysis (Yonekura et al., 2003a). We briefly review the structure and the structure analysis, and point out essential techniques that have made this analysis possible.

GUI programs for processing individual images in early stages of helical image reconstruction—for high-resolution structure analysis

A set of programs equipped with graphical user interface has been developed for processing individual images in early stages of the three-dimensional helical image reconstruction procedure. These programs can be used for initial screening of suitable image area, straightening the object image, determination of box parameters including the repeat distance, determination of the out-of-plane tilt and initial editing of the layer-line data. These tasks are difficult to automate and therefore very time-consuming. The programs, developed by adopting the concept of the layer-line indexing [Ultramicroscopy 84 (2000) 1-14], are effective for processing many images of filamentous molecular assemblies and especially tubular crystals having various helical classes. Using these programs, higher-resolution signals can be extracted more reliably and quickly, and the time required for processing each image can be reduced to 1/2-1/10. Here also presented is an overview on helical image reconstruction for high-resolution structure analysis.

Complete atomic model of the bacterial flagellar filament by electron cryomicroscopy

The bacterial flagellar filament is a helical propeller for bacterial locomotion. It is a helical assembly of a single protein, flagellin, and its tubular structure is formed by 11 protofilaments in two distinct conformations, L- and R-type, for supercoiling. The X-ray crystal structure of a flagellin fragment lacking about 100 terminal residues revealed the protofilament structure, but the full filament structure is still essential for understanding the mechanism of supercoiling and polymerization. Here we report a complete atomic model of the R-type filament by electron cryomicroscopy. A density map obtained from image data up to 4 A resolution shows the feature of alpha-helical backbone and some large side chains. The atomic model built on the map reveals intricate molecular packing and an alpha-helical coiled coil formed by the terminal chains in the inner core of the filament, with its intersubunit hydrophobic interactions having an important role in stabilizing the filament.

Semi-automated icosahedral particle reconstruction at sub-nanometer resolution

Electron cryomicroscopy of large macromolecular complexes is becoming an increasingly powerful tool for revealing three-dimensional structures without the need for crystallization. The execution of image processing, however, requires experience and is error-prone due to the need for a human operator to carry out interactive and repetitive processes. We have designed an approach which is intended to make image processing simple and rapid, both for experts and for novice users. We demonstrate this approach using the well-established reconstruction scheme for icosahedral particles. Finally, we implement semi-automated virus reconstruction (SAVR), an expert system that integrates the most CPU intensive and iterative steps using the scripting language Python. SAVR is portable across platforms and has been parallelized to run on both shared and distributed memory platforms. SAVR also allows the incorporation of new algorithms and facilitates the management of the increasingly large data sets needed to achieve higher resolution reconstructions. The package has been successfully applied to several data sets and shown capable of generating icosahedral reconstructions to sub-nanometer resolutions (7-10 A ).

Structure determination of tubular crystals of membrane proteins. I. Indexing of diffraction patterns

Indexing of diffraction patterns is the starting point of every crystallographic analysis. The diffraction patterns from helical particles consist of a series of layer-planes, the indexing of which involves the assignment of the start numbers of the helices that contribute to the layer-planes. The indexing could be challenging if the diameter of the helical particle is large and if the conventional indexing methods based on selection rule is used. Presented here is a tutorial on how to index them using (h, k; n) indexing method, which is particularly useful for tubular crystals of membrane proteins.

Structure determination of tubular crystals of membrane proteins. II. Averaging of tubular crystals of different helical classes

A set of programs has been developed for averaging the data from tubular crystals belonging to different helical classes. This was done either by (i) cutting out molecules constituting a unit cell from density maps, and aligning and averaging them in real space; (ii) transforming the densities in a unit cell to layer-line data according to a (possibly artificial) helical symmetry, aligning and averaging them in reciprocal space. These methods were applied to tubular crystals of Ca2+-ATPase. Either method worked well and substantially improved the data quality. Transforming the reconstructed images to the layer-line data has many advantages and is essential for fully exploiting the power of averaging.