Separating distinct structures of multiple macromolecular assemblies from cryo-EM projections

Single particle analysis for structure determination in cryo-electron microscopy is traditionally applied to samples purified to near homogeneity as current reconstruction algorithms are not designed to handle heterogeneous mixtures of structures from many distinct macromolecular complexes. We extend on long established methods and demonstrate that relating two-dimensional projection images by their common lines in a graphical framework is sufficient for partitioning distinct protein and multiprotein complexes within the same data set. The feasibility of this approach is first demonstrated on a large set of synthetic reprojections from 35 unique macromolecular structures spanning a mass range of hundreds to thousands of kilodaltons. We then apply our algorithm on cryo-EM data collected from a mixture of five protein complexes and use existing methods to solve multiple three-dimensional structures ab initio. Incorporating methods to sort single particle cryo-EM data from extremely heterogeneous mixtures will alleviate the need for stringent purification and pave the way toward investigation of samples containing many unique structures.     

Defining and solving the essential protein-protein interactions in HIV infection

The structure determination of macromolecular complexes is entering a new era. The methods of optical microscopy, electron microscopy, X-ray crystallography, and nuclear magnetic resonance increasingly are being combined in hybrid method approaches to achieve an integrated view of macromolecular complexes that span from cellular context to atomic detail. A particularly important application of these hybrid method approaches is the structural analysis of the Human Immunodeficiency Virus (HIV) proteins with their cellular binding partners. High resolution structure determination of essential HIV - host cell protein complexes and correlative analysis of these complexes in the live cell can serve as critical guides in the design of a broad, new class of therapeutics that function by disrupting such complexes. Here, with the hope of stimulating some discussion, we will briefly review some of the literature in the context of what could be done to further apply structural methods to HIV research. We have chosen to focus our attention on certain aspects of the HIV replication cycle where we think that structural information would contribute substantially to the development of new therapeutic and vaccine targets for HIV.     

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.     

Corrim-based alignment for improved speed in single-particle image processing

The technique of single-particle electron cryomicroscopy is currently making possible the 3D structure determination of large macromolecular complexes at constantly increasing levels of resolution. Work at resolution now attainable requires many thousands of individual images to be processed computationally. The most time-consuming step of the image-processing procedure is usually the iterative alignment of individual particle images against a set of reference images derived from a preliminary 3-D structure. We have developed an improved multireference alignment procedure based on interpolated cross-correlation images (corrims) that results in an approximately 8-fold acceleration of the iterative alignment steps. These corrims can be used to restrict the number of image-alignment calculations by narrowing down the set of reference images. Another improvement in alignment speed has been achieved by optimising the software and its implementation on many parallel processors. This new corrim-based refinement has been found to work well with two different alignment algorithms, the commonly used "fast alignment by separate translational/rotational searches" and "exhaustive alignment by polar coordinates."     

Structure of ribosomes from Thermomyces lanuginosus by electron microscopy and image processing

Multivariate statistical analysis and hierarchical ascendant classification techniques have been used to sort electron images of ribosomes from the thermophilic fungus Thermomyces lanuginosus into their characteristic views. Three predominant views were elucidated, called here overlap, non-overlap and top, showing reproducible detail approaching 1.8 nm resolution. The overlap and non-overlap forms of the fungal ribosomes appeared to be similar to those from the eubacterium Escherichia coli, despite differences in rRNA composition. The non-overlap projection predominated for the fungal complexes, suggesting different adsorption properties for ribosomes from the two species. Additionally, the top view has not been previously described for eubacteria. No major morphological differences could be detected between the fungal and eubacterial ribosomes at the resolution achieved in this study, suggesting a strong conservation of tertiary structure of this macromolecular complex despite the evolutionary gap between these two organisms.     

Protein-nucleic acid interactions and the expanding role of mass spectrometry

Mass spectrometry methods are being developed that enable detection of protein interactions with nucleic acids. By mass measuring complexes a direct determination of the stoichiometry of protein-nucleic acid interactions is revealed. For more complex assemblies, using a different approach it is possible to gain information about subcomplexes and even the spatial arrangement of proteins in macromolecular machines. To illustrate these different approaches we review progress and problems encountered in evaluating complexes from bimolecular interactions through to macromolecular machines such as ribosomes.     

Macromolecular recognition

Computational methods are being developed both to detect the binding surfaces of individual macromolecules and to predict the structure of binary macromolecular complexes. Speeding up and refining this process has required work on search algorithms, molecular representations and interaction potentials. Although backbone flexibility and solvent effects continue to pose problems, encouraging results have been obtained for both protein-protein and protein-DNA complexes.     

Symmetry-adapted spherical harmonics method for high-resolution 3D single-particle reconstructions

Three-dimensional (3D) reconstruction is the last and an essential step toward high-resolution structural determination in single-particle cryo-electron microscopy (cryoEM). We have implemented a new algorithm for reconstructing 3D structures of macromolecular complexes with icosahedral symmetry from cryoEM images. Icosahedral symmetry-adapted functions (ISAFs) are used to interpolate structural factors in the reciprocal space to generate a 3D reconstruction in spherical coordinates. In our implementation, we introduced a recursive method for deriving higher order ISAFs from three lower order seed functions. We demonstrate improvements of our new method in both the noise suppression and the effective resolution in 3D reconstruction over the commonly used Fourier-Bessel synthesis method introduced by Crowther et al. three decades ago. Our 3D reconstruction method can be extended to macromolecular complexes with other symmetry types and is thus likely to impact future high-resolution cryoEM single-particle reconstruction efforts in general.     

Structural modeling of heteromeric protein complexes from disassembly pathways and ion mobility-mass spectrometry

Structure determination of macromolecular protein assemblies remains a challenge for well-established methods. Here, we provide an assessment of an emerging structural technique, ion mobility-mass spectrometry (IM-MS), and examine the use of collision cross-sections (CCSs), derived from IM-MS, as restraints for structure characterization of heteromeric protein assemblies. Using 15 complexes selected from the Protein Data Bank, we validate the use of low-resolution models by comparing their CCSs with those calculated for all-atom structures. We then select six heteromeric complexes, disrupting them in solution to form subcomplexes. Experimental and calculated CCSs reveal close similarity for 18 of the 21 (sub)complexes. Exploring the use of CCS as a restraint, we incorporate it into a scoring function and show good correlation between the score and similarity to the native structure for heteromers, especially when an additional symmetry restraint was introduced.     

Developments in fiber diffraction.

Improved specimen preparation methods, third generation synchrotron sources, new data processing algorithms and molecular dynamics refinement techniques are, together, allowing the high-resolution structure determination of larger and larger macromolecular complexes by fiber diffraction. New synchrotron sources are also making possible both time-resolved studies and studies of ordered fibers only a few microns in diameter.     

Computational Methods Toward Unbiased Pattern Mining and Structure Determination in Cryo-Electron Tomography Data

Cryo-electron tomography can uniquely probe the native cellular environment for macromolecular structures. Tomograms feature complex data with densities of diverse, densely crowded macromolecular complexes, low signal-to-noise, and artifacts such as the missing wedge effect. Post-processing of this data generally involves isolating regions or particles of interest from tomograms, organizing them into related groups, and rendering final structures through subtomogram averaging. Template-matching and reference-based structure determination are popular analysis methods but are vulnerable to biases and can often require significant user input. Most importantly, these approaches cannot identify novel complexes that reside within the imaged cellular environment. To reliably extract and resolve structures of interest, efficient and unbiased approaches are therefore of great value. This review highlights notable computational software and discusses how they contribute to making automated structural pattern discovery a possibility. Perspectives emphasizing the importance of features for user-friendliness and accessibility are also presented.     

Automatic CTF correction for single particles based upon multivariate statistical analysis of individual power spectra

Three-dimensional electron cryomicroscopy of randomly oriented single particles is a method that is suitable for the determination of three-dimensional structures of macromolecular complexes at molecular resolution. However, the electron-microscopical projection images are modulated by a contrast transfer function (CTF) that prevents the calculation of three-dimensional reconstructions of biological complexes at high resolution from uncorrected images. We describe here an automated method for the accurate determination and correction of the CTF parameters defocus, twofold astigmatism and amplitude-contrast proportion from single-particle images. At the same time, the method allows the frequency-dependent signal decrease (B factor) and the non-convoluted background signal to be estimated. The method involves the classification of the power spectra of single-particle images into groups with similar CTF parameters; this is done by multivariate statistical analysis (MSA) and hierarchically ascending classification (HAC). Averaging over several power spectra generates class averages with enhanced signal-to-noise ratios. The correct CTF parameters can be deduced from these class averages by applying an iterative correlation procedure with theoretical CTF functions; they are then used to correct the raw images. Furthermore, the method enables the tilt axis of the sample holder to be determined and allows the elimination of individual poor-quality images that show high drift or charging effects.     

Joint use of small-angle X-ray and neutron scattering to study biological macromolecules in solution

Novel techniques for simultaneous analysis of X-ray and neutron scattering patterns from macromolecular complexes in solution are presented. They include ab initio shape and internal structure determination of multicomponent particles and more detailed rigid body modeling of complexes using high resolution structures of subunits. The methods fit simultaneously X-ray and neutron scattering curves including contrast variation data sets from selectively deuterated complexes. Biochemically sound interconnected models without steric clashes between the components displaying a pre-defined symmetry are generated. For rigid body modeling, distance restraints between specified residues/nucleotides or their ranges are taken into account. The efficiency of the methods is demonstrated in model examples, and potential sources of ambiguity are discussed.     

New opportunities in integrative structural modeling

Integrative structural modeling enables structure determination of macromolecules and their complexes by integrating data from multiple sources. It has been successfully used to characterize macromolecular structures when a single structural biology technique was insufficient. Recent developments in cellular structural biology, including in-cell cryo-electron tomography and artificial intelligence-based structure prediction, have created new opportunities for integrative structural modeling. Here, we will review these opportunities along with the latest developments in integrative modeling methods and their applications. We also highlight open challenges and directions for further development.     

Protein complexes: structure prediction challenges for the 21st century

Only a tiny fraction of the many hundreds of known protein complexes are also of known three-dimensional structure. The experimental difficulties surrounding structure determination of complexes make methods that are able to predict structures paramount. The challenge of predicting complex structures is daunting and raises many issues that need to be addressed. To produce the best models, new prediction methods have to somehow combine partial structures with a mixed bag of experimental data, including interactions and low-resolution electron microscopy images.     

Three-dimensional molecular modeling with single molecule FRET

Single molecule fluorescence energy transfer experiments enable investigations of macromolecular conformation and folding by the introduction of fluorescent dyes at specific sites in the macromolecule. Multiple such experiments can be performed with different labeling site combinations in order to map complex conformational changes or interactions between multiple molecules. Distances that are derived from such experiments can be used for determination of the fluorophore positions by triangulation. When combined with a known structure of the macromolecule(s) to which the fluorophores are attached, a three-dimensional model of the system can be determined. However, care has to be taken to properly derive distance from fluorescence energy transfer efficiency and to recognize the systematic or random errors for this relationship. Here we review the experimental and computational methods used for three-dimensional modeling based on single molecule fluorescence resonance transfer, and describe recent progress in pushing the limits of this approach to macromolecular complexes.     

Single particle analysis of filamentous and highly elongated macromolecular assemblies

The application of single particle techniques to the three-dimensional analysis of electron microscope images of elongated or filamentous macromolecular assemblies is evaluated, taking as an example the muscle thin filament. Although the thin filament contains local helical symmetry, because of the inherent variable twist along it, the helical coherence does not extend for large enough distances to allow the symmetry to be used for full reconstruction of the tropomyosin/troponin repeat along the filament. The muscle thin filament therefore represents a general case of a filamentous object in that it is not possible to exploit symmetry in a full analysis. Due to the nature of the imaging process in the electron microscope, only projections of the thin filament around its long axis are available without tilting the grid. Crucially, projection images around a single axis do not provide enough information to assign Euler angles ab initio using current methods. Tests with a model thin filament structure indicated that an out-of-plane tilt of approximately 20 degrees was needed for ab initio angular assignment of sufficient accuracy to calculate a 3D structure to a resolution of approximately 25 A. If no out-of-plane views are available, an alternative approach is to use a prior 3D model as a reference for the initial angle assignment. Tests with the thin filament model indicated that reasonably accurate angular assignment can be made using a reference containing actin, but lacking the regulatory proteins tropomyosin and troponin. We also found that an adaptation of the exact filtered back projection method is required to allow the correct weighting of projection images in which the particle has a very large axial ratio. This adaptation resulted in significant improvements in the reconstruction.     

Strategies for crystallization and structure determination of very large macromolecular assemblies

High-resolution structures of macromolecular assemblies are pivotal for our understanding of their biological functions in fundamental cellular processes. In the field of X-ray crystallography, recent methodological and instrumental advances have led to the structure determinations of macromolecular assemblies of increased size and complexity, such as those of ribosomal complexes, RNA polymerases, and large multifunctional enzymes. These advances include the use of robotic screening techniques that maximize the chances of obtaining well-diffracting crystals of large complexes through the fine sampling of crystallization space. Sophisticated crystal optimization and cryoprotection techniques and the use of highly brilliant X-ray beams from third-generation synchrotron light sources now allow data collection from weakly diffracting crystals with large asymmetric units. Combined approaches are used to derive phase information, including phases calculated from electron microscopy (EM) models, heavy atom clusters, and density modification protocols. New crystallographic software tools prove valuable for structure determination and model refinement of large macromolecular complexes.     

Conformational changes studied by cryo-electron microscopy

Biological processes involving movement, such as muscle contraction or the opening of an ion channel through a membrane, are mediated through conformational changes. These changes often occur in large and flexible macromolecular complexes. Cryo-electron microscopy provides a means of capturing different conformational states of such assemblies. Even if the resulting density maps are at low resolution, they can be combined with atomic structures of subcomplexes or isolated components determined by X-ray crystallography or NMR. This review presents a brief summary of the principles and recent advances in macromolecular structure determination by cryo-electron microscopy.