Sharpening high resolution information in single particle electron cryomicroscopy

Advances in single particle electron cryomicroscopy have made possible to elucidate routinely the structure of biological specimens at subnanometer resolution. At this resolution, secondary structure elements are discernable by their signature. However, identification and interpretation of high resolution structural features are hindered by the contrast loss caused by experimental and computational factors. This contrast loss is traditionally modeled by a Gaussian decay of structure factors with a temperature factor, or B-factor. Standard restoration procedures usually sharpen the experimental maps either by applying a Gaussian function with an inverse ad hoc B-factor, or according to the amplitude decay of a reference structure. EM-BFACTOR is a program that has been designed to widely facilitate the use of the novel method for objective B-factor determination and contrast restoration introduced by Rosenthal and Henderson [Rosenthal, P.B., Henderson, R., 2003. Optimal determination of particle orientation, absolute hand, and contrast loss in single-particle electron cryomicroscopy. J. Mol. Biol. 333, 721-745]. The program has been developed to interact with the most common packages for single particle electron cryomicroscopy. This sharpening method has been further investigated via EM-BFACTOR, concluding that it helps to unravel the high resolution molecular features concealed in experimental density maps, thereby making them better suited for interpretation. Therefore, the method may facilitate the analysis of experimental data in high resolution single particle electron cryomicroscopy.     

Optimal determination of particle orientation, absolute hand, and contrast loss in single-particle electron cryomicroscopy

A computational procedure is described for assigning the absolute hand of the structure of a protein or assembly determined by single-particle electron microscopy. The procedure requires a pair of micrographs of the same particle field recorded at two tilt angles of a single tilt-axis specimen holder together with the three-dimensional map whose hand is being determined. For orientations determined from particles on one micrograph using the map, the agreement (average phase residual) between particle images on the second micrograph and map projections is determined for all possible choices of tilt angle and axis. Whether the agreement is better at the known tilt angle and axis of the microscope or its inverse indicates whether the map is of correct or incorrect hand. An increased discrimination of correct from incorrect hand (free hand difference), as well as accurate identification of the known values for the tilt angle and axis, can be used as targets for rapidly optimizing the search or refinement procedures used to determine particle orientations. Optimized refinement reduces the tendency for the model to match noise in a single image, thus improving the accuracy of the orientation determination and therefore the quality of the resulting map. The hand determination and refinement optimization procedure is applied to image pairs of the dihydrolipoyl acetyltransferase (E2) catalytic core of the pyruvate dehydrogenase complex from Bacillus stearothermophilus taken by low-dose electron cryomicroscopy. Structure factor amplitudes of a three-dimensional map of the E2 catalytic core obtained by averaging untilted images of 3667 icosahedral particles are compared to a scattering reference using a Guinier plot. A noise-dependent structure factor weight is derived and used in conjunction with a temperature factor (B=-1000A(2)) to restore high-resolution contrast without amplifying noise and to visualize molecular features to 8.7A resolution, according to a new objective criterion for resolution assessment proposed here.     

A binary segmentation approach for boxing ribosome particles in cryo EM micrographs

Three-dimensional reconstruction of ribosome particles from electron micrographs requires selection of many single-particle images. Roughly 100,000 particles are required to achieve approximately 10 A resolution. Manual selection of particles, by visual observation of the micrographs on a computer screen, is recognized as a bottleneck in automated single-particle reconstruction. This paper describes an efficient approach for automated boxing of ribosome particles in micrographs. Use of a fast, anisotropic non-linear reaction-diffusion method to pre-process micrographs and rank-leveling to enhance the contrast between particles and the background, followed by binary and morphological segmentation constitute the core of this technique. Modifying the shape of the particles to facilitate segmentation of individual particles within clusters and boxing the isolated particles is successfully attempted. Tests on a limited number of micrographs have shown that over 80% success is achieved in automatic particle picking.     

Structural analysis of membrane protein complexes by single particle electron microscopy

Single particle electron microscopy (EM) is an increasingly important tool for the structural analysis of macromolecular complexes. The main advantage of the technique over other methods is that it is not necessary to precede the analysis with the growth of crystals of the sample. This advantage is particularly important for membrane proteins and large protein complexes where generating crystals is often the main barrier to structure determination. Therefore, single particle EM can be employed with great utility in the study of large membrane protein complexes. Although the construction of atomic resolution models by single particle EM is possible in theory, currently the highest resolution maps are still limited to approximately 7-10A resolution and 15-30 A resolution is more typical. However, by combining single particle EM maps with high-resolution models of subunits or subcomplexes from X-ray crystallography and NMR spectroscopy it is possible to build up an atomic model of a macromolecular assembly. Image analysis procedures are almost identical for micrographs of soluble protein complexes and detergent solubilized membrane protein complexes. However, electron microscopists attempting to prepare specimens of a membrane protein complex for imaging may find that these complexes require different handling than soluble protein complexes. This paper seeks to explain how high-quality specimen grids of membrane protein complexes may be prepared to allow for the determination of their structure by EM and image analysis.     

Practical Image Restoration of Thick Biological Specimens Using Multiple Focus Levels in Transmission Electron Microscopy

Three-dimensional electron tomographic studies of thick specimens such as cellular organelles or supramolecular structures require accurate interpretations of transmission electron micrograph intensities. In addition to microscope lens aberrations, thick specimen imaging is complicated by additional distortions resulting from multiple elastic and inelastic scattering. Extensive analysis of the mechanism of image formation using electron energy-loss spectroscopy and imaging as well as exit wavefront reconstruction demonstrated that multiple scattering does not contribute to the coherent component of the exit wave (Hanet al.,1996, 1995). Although exit wavefront restored images showed enhanced contrast and resolution, that technique, which requires the collection of more than 30 images at different focus levels, is not practical for routine data collection in 3D electron tomography, where usually over 100 projection views are required for each reconstruction. Using a 0.7-μm-thick specimen imaged at 200 keV, the accuracy of reconstructions using small numbers of defocused images and a simple linear filter (Schiske, 1968) was assessed by comparison to the complete exit wave restoration. We demonstrate that only four optimal focus levels are required to effectively restore the coherent component (deviation 5.1%). By contrast, the optimal single image (zero defocus) shows a 25.5% deviation to the exit wave restoration. Two pairs of under- and over-defocus images should be taken: one pair at quite high defocus (>10 μm) to differentiate the coherent (single elastic scattering) from the incoherent (multiple elastic and inelastic scattering) components, and the second pair to optimize information content at the highest desired resolution (e.g., 5 μm for (2.5 nm)⁻¹resolution). We also propose a new interpretation of the restored amplitude and phase components where the specimen mass-density is proportional to the logarithm of the amplitude component and linearly related to the phase component. This approach should greatly facilitate the collection of high resolution tomographic data from thick samples.     

Tilt-pair analysis of images from a range of different specimens in single-particle electron cryomicroscopy

The comparison of a pair of electron microscope images recorded at different specimen tilt angles provides a powerful approach for evaluating the quality of images, image-processing procedures, or three-dimensional structures. Here, we analyze tilt-pair images recorded from a range of specimens with different symmetries and molecular masses and show how the analysis can produce valuable information not easily obtained otherwise. We show that the accuracy of orientation determination of individual single particles depends on molecular mass, as expected theoretically since the information in each particle image increases with molecular mass. The angular uncertainty is less than 1° for particles of high molecular mass (∼ 50 MDa), several degrees for particles in the range 1-5 MDa, and tens of degrees for particles below 1 MDa. Orientational uncertainty may be the major contributor to the effective temperature factor (B-factor) describing contrast loss and therefore the maximum resolution of a structure determination. We also made two unexpected observations. Single particles that are known to be flexible showed a wider spread in orientation accuracy, and the orientations of the largest particles examined changed by several degrees during typical low-dose exposures. Smaller particles presumably also reorient during the exposure; hence, specimen movement is a second major factor that limits resolution. Tilt pairs thus enable assessment of orientation accuracy, map quality, specimen motion, and conformational heterogeneity. A convincing tilt-pair parameter plot, where 60% of the particles show a single cluster around the expected tilt axis and tilt angle, provides confidence in a structure determined using electron cryomicroscopy.     

Alignment error envelopes for single particle analysis

To determine the structure of a biological particle to high resolution by electron microscopy, image averaging is required to combine information from different views and to increase the signal-to-noise ratio. Starting from the number of noiseless views necessary to resolve features of a given size, four general factors are considered that increase the number of images actually needed: (1) the physics of electron scattering introduces shot noise, (2) thermal motion and particle inhomogeneity cause the scattered electrons to describe a mixture of structures, (3) the microscope system fails to usefully record all the information carried by the scattered electrons, and (4) image misalignment leads to information loss through incoherent averaging. The compound effect of factors 2-4 is approximated by the product of envelope functions. The problem of incoherent image averaging is developed in detail through derivation of five envelope functions that account for small errors in 11 "alignment" parameters describing particle location, orientation, defocus, magnification, and beam tilt. The analysis provides target error tolerances for single particle analysis to near-atomic (3.5 A) resolution, and this prospect is shown to depend critically on image quality, defocus determination, and microscope alignment.     

Characteristic views of prokaryotic 50S ribosomal subunits

Summary Multivariate statistical analysis and classification techniques are powerful tools in sorting noisy electron micrographs of single particles according to their principal features, enabling one to form average images with an enhanced signal-to-noise ratio and a better reproducible resolution. We apply this methodology here to determining the characteristic views of the large (50S) ribosomal subunits from the eubacteriumEscherichia coli and the archaebacteriaMethanococcus vannielii, Sulfolobus solfataricus, andHalobacterium marismortui. Average images were obtained of the subunit in the common crown and kidney projections, but views of the particle in orientations intermediate between these two extremes were also elucidated for all species. These averages show reproducible detail of up to 2.0 nm resolution, thus enabling the visualization and interspecies comparison of many structural features as a first step toward comparing the actual three-dimensional structures. Our results disprove evolutionary lineages recently postulated on the basis of electron microscopical images of ribosomal subunits.     

A near atomic resolution structure of a Melanocarpus albomyces laccase

It is becoming routine for cryoEM single particle reconstructions to result in 3D electron density maps with resolutions of 10 Å, but maps with resolutions of 5 Å or better are still celebrated events. The electron microscope has a resolving power to better than 2 Å, and thus should not be a limiting factor; instead the practical limitations in resolution most likely arise from a combination of specimen preparation methods, data collection parameters, and data analysis procedures. With the aid of a highly automated system for acquiring images, coupled to a relational database to keep track of all processing parameters, we have taken a systematic approach to optimizing parameters affecting the resolution of single particle reconstructions. Using GroEL as a test-bed, we performed a series of 3D reconstructions where we systematically varied the number of particles used in computing the map, the accelerating voltage of the microscope, and the electron dose used to acquire the images. We also investigated methods for excluding unacceptable or “bad” particles from contributing to the final 3D map. Using relatively standard instrumentation (Tecnai F20, 4K × 4K CCD, side entry cold stage) and a completely automated approach, these approaches resulted in a map with a nominal resolution of 5.4 Å (FSC_0.5) in which secondary structure is clearly discernable and the handedness of some of the α-helices in the GroEL structure can be determined.     

TYSON: robust searching, sorting, and selecting of single particles in electron micrographs

We here present TYSON, a new program for automatic and semi-automatic particle selection from electron micrographs. TYSON employs a three-step strategy of searching, sorting and selecting single particles. In the first step, TYSON finds the positions of potential particles by one of three different methods: local averaging, template matching or local variance. The practical merits and drawbacks of these methods are discussed. In the second step, these potential particles are automatically sorted according to their probability of being true positives. Many criteria are provided for this sort. In the final -interactive- step, whole categories of poorly fitting false positives can be removed with a single mouse-click. We present results obtained using cryo-EM micrographs of both spherical virus particles and asymmetric particles. The procedures are fast and use of TYSON allowed, for example, some 20,000 particles to be selected in a single working day.     

An automatic particle pickup method using a neural network applicable to low-contrast electron micrographs

Three-dimensional reconstruction from electron micrographs requires the selection of many single-particle projection images; more than 10 000 are generally required to obtain 5- to 10-A structural resolution. Consequently, various automatic detection algorithms have been developed and successfully applied to large symmetric protein complexes. This paper presents a new automated particle recognition and pickup procedure based on the three-layer neural network that has a large application range than other automated procedures. Its use for both faint and noisy electron micrographs is demonstrated. The method requires only 200 selected particles as learning data and is able to detect images of proteins as small as 200 kDa.     

Haloarcula marismortui 50S subunit-complementarity of electron microscopy and X-Ray crystallographic information

The large 50S subunit of the Haloarcula marismortui 70S ribosome was solved to 19 A using cryo-electron microscopy and single particle reconstruction techniques and to 9 A using X-ray crystallography. In the latter case, phases were determined by multiple isomorphous replacement and anomalous scattering from three heavy atom derivatives. The availability of X-ray and electron microscopy (EM) data has made it possible to compare the results of the two experimental methods. In the flexible regions of the 50S subunit, small differences in the mass distribution were detected. These differences can be attributed to the influence of packing in the crystal cell. The rotationally averaged power spectra of X-ray and EM were compared in an overlapping spatial frequency range from 60 to 13 A. The resulting ratio of X-ray to EM power ranges from 1 to 15, reflecting a progressively larger underestimation of the Fourier amplitudes by the electron microscope.     

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.     

Visualization of alpha-helices in tobacco mosaic virus by cryo-electron microscopy

We have used tobacco mosaic virus (TMV) as a test specimen, in order to develop techniques for the analysis of high-resolution structural detail in electron micrographs of biological assemblies with helical symmetry. It has previously been shown that internal details of protein structure can be visualized by processing electron micrographs of unstained specimens of extended two-dimensional crystalline arrays. However, the techniques should in principle be applicable to other periodic specimens, such as assemblies with helical symmetry. We show here that data to spacings better than 10 A can be retrieved from electron images of frozen hydrated TMV. The three-dimensional computed map agrees well with that derived from X-ray diffraction and shows the two pairs of alpha-helices forming the core of the coat subunit, the C alpha-helix and the viral RNA. The results demonstrate that it is possible to determine detailed internal structure in helical particles.     

自由电子激光在生物学中的应用

同步辐射的发展和应用已经极大的推动了自然科学包括生物学的巨大发展,其中结构生物学更是离不开X射线衍射分析,小角散射等。X射线自由电子激光(XFEL)相比同步辐射具有更高强度,完全相干等特点,被称为第四代光源。科学家已经利用XFEL实现了尺度约为1微米的蛋白质晶体的高分辨率结构解析,并且也实现了单颗粒的病毒的低分辨重构。未来,XFEL将会为生物学的发展打开一扇新的大门。     

Video-enhanced microscopy of organelle movement in an intact epithelium.

Digitally enhanced video microscopy has provided improved optical resolution in the study of intracellular organelle/particle movement, particularly in extruded axoplasm and certain thin single cell systems. We report here, for the first time, particle movement in an intact, isolated epithelium, the killifish proximal convoluted tubule. Cytoplasmic particles exhibited predominantly unidirectional linear movement approaching several microns in length, sometimes with multiple turns. The velocities of 34 particles measured in 11 cells averaged 0.29 microns/sec (range, 0.007-3.1 microns/sec). Microtubules--the well-established basis for organelle movement in cells--were present but were sparsely represented in electron micrographs of these cells. Video-enhanced microscopic techniques can now be applied to the study of organelle/particle movement in an intact epithelium.     

Assessing the capabilities of a 4kx4k CCD camera for electron cryo-microscopy at 300kV

CCD cameras have numerous advantages over photographic film for detecting electrons; however the point spread function of these cameras has not been sufficient for single particle data collection to subnanometer resolution with 300kV microscopes. We have adopted spectral signal to noise ratio (SNR) as a parameter for assessing detector quality for single particle imaging. The robustness of this parameter is confirmed under a variety of experimental conditions. Using this parameter, we demonstrate that the SNR of images of either amorphous carbon film or ice embedded virus particles collected on a new commercially available 4kx4k CCD camera are slightly better than photographic film at low spatial frequency (<1/5 Nyquist frequency), and as good as photographic film out to half of the Nyquist frequency. In addition it is slightly easier to visualize ice embedded particles on this CCD camera than on photographic film. Based on this analysis it is realistic to collect images containing subnanometer resolution data (6-9A) using this CCD camera at an effective magnification of approximately 112000x on a 300kV electron microscope.     

The size of the bacteriophage T4 head in solution with comments about the dimension of virus particles as visualized by electron microscopy

We report X-ray diffraction results permitting calculation of the radius of the bacteriophage T4 head in solution. Isometric headed mutant particles, consisting of the two hemispherical caps of wild-type T4, were found to be spheres of radius 425 Å. Giant headed particles, an amplification of the extra capsomeres which give the T4 head its prolate shape, were found to be cylinders of radius 427 Å. We use these and other small-angle X-ray diffraction results in a quantitative discussion of the distortion artefacts caused by a number of electron microscope specimen preparation techniques.     

The reproducible observation of unstained embedded cellular material in thin sections: visualisation of an integral membrane protein by a new mode of imaging for STEM

The contrast on micrographs obtained by conventional imaging in the conventional transmission electron microscope and in the scanning transmission electron microscope (STEM) (brightfield and darkfield) reflects mainly the variations of the mass-density and of the thickness of the specimen. The density differences in resin-embedded, unstained materials are too small to give enough contrast when compared to that produced by the surface perturbations introduced by sectioning. By darkfield imaging, therefore, this variable surface relief does not lead reproducibly to interpretable micrographs of high quality. Imaging by the ratio of elastically over inelastically scattered electrons in the STEM (Z-contrast) depends primarily on the atomic composition of the material. We present here the first experimental tests of theoretical predictions with thin sections; Z-contrast micrographs of septate junctions reveal the transmembrane proteins which are not visible in uranyl acetate stained sections viewed by conventional brightfield imaging.     

Toward understanding the structure and interactions of microtubules and motor proteins

To obtain an overall three-dimensional picture of the interaction between microtubules and the motor proteins of the kinesin family it will be necessary to take account of both atomic resolution structures obtained by X-ray crystallography and medium resolution reconstructions obtained by electron cryomicroscopy. We examine the problems associated with obtaining the required structural information from electron micrographs of vitreous ice-embedded microtubules decorated with motor domains. We find that the minus-end directed motor, ncd, decorates microtubules with an 80 Å periodicity as for kinesin. Our theoretical analysis and experiments with ncd illustrate the difficulty in determining unambiguously the surface lattice organization by diffraction analysis of micrographs. 3D reconstructions of decorated microtubules are required to accurately locate the motor domains. Helical diffraction theory is not usually applicable because microtubules are cylindrical structures that rarely have complete helical symmetry. We propose using a back-projection method based on the long pitch helices formed by individual protofilaments. Model reconstructions show that this approach is feasible. © 1995 Wiley-Liss, Inc.