Analysis of macromolecular structure and dynamics by electron cryo-microscopy

Modeling and Analysis of HIV-1 Pol Polyprotein as a Case Study for Predicting Large Polyprotein Structures

Acquired immunodeficiency syndrome (AIDS) is caused by human immunodeficiency virus (HIV). HIV protease, reverse transcriptase, and integrase are targets of current drugs to treat the disease. However, anti-viral drug-resistant strains have emerged quickly due to the high mutation rate of the virus, leading to the demand for the development of new drugs. One attractive target is Gag-Pol polyprotein, which plays a key role in the life cycle of HIV. Recently, we found that a combination of M50I and V151I mutations in HIV-1 integrase can suppress virus release and inhibit the initiation of Gag-Pol autoprocessing and maturation without interfering with the dimerization of Gag-Pol. Additional mutations in integrase or RNase H domain in reverse transcriptase can compensate for the defect. However, the molecular mechanism is unknown. There is no tertiary structure of the full-length HIV-1 Pol protein available for further study. Therefore, we developed a workflow to predict the tertiary structure of HIV-1 NL4.3 Pol polyprotein. The modeled structure has comparable quality compared with the recently published partial HIV-1 Pol structure (PDB ID: 7SJX). Our HIV-1 NL4.3 Pol dimer model is the first full-length Pol tertiary structure. It can provide a structural platform for studying the autoprocessing mechanism of HIV-1 Pol and for developing new potent drugs. Moreover, the workflow can be used to predict other large protein structures that cannot be resolved via conventional experimental methods.

Biomolecular Structure and Modeling: Problem and Application Perspective

The experimental progress described in the previous chapter has been accompanied by an increasing desire to relate the complex three-dimensional (3D) shapes of biomolecules to their biological functions and interactions with other molecular systems. Structural biology, computational biology, genomics, proteomics, bioinformatics, chemoinformatics, and others are natural partner disciplines in such endeavors.

Integrating diverse data for structure determination of macromolecular assemblies

To understand the cell, we need to determine the macromolecular assembly structures, which may consist of tens to hundreds of components. First, we review the varied experimental data that characterize the assemblies at several levels of resolution. We then describe computational methods for generating the structures using these data. To maximize completeness, resolution, accuracy, precision, and efficiency of the structure determination, a computational approach is required that uses spatial information from a variety of experimental methods. We propose such an approach, defined by its three main components: a hierarchical representation of the assembly, a scoring function consisting of spatial restraints derived from experimental data, and an optimization method that generates structures consistent with the data. This approach is illustrated by determining the configuration of the 456 proteins in the nuclear pore complex (NPC) from baker's yeast. With these tools, we are poised to integrate structural information gathered at multiple levels of the biological hierarchy--from atoms to cells--into a common framework.

Electron microscopy of integrins

Integrins are a family of heterodimeric, cell-surface receptors that mediate interactions between the cytoskeleton and the extracellular matrix. We have used electron microscopy and single-particle image analysis combined with molecular modeling to investigate the structures of the full-length integrin alpha(IIb)beta(3) and the ectodomain of alpha(V)beta(3) in a complex with fibronectin. The full-length integrin alpha(IIb)beta(3) is purified from human platelets by ion exchange and gel filtration chromatography in buffers containing the detergent octyl-beta-D-glucopyranoside, whereas the recombinant ectodomain of alpha(V)beta(3) is soluble in aqueous buffer. Transmission electron microscopy is performed either in negative stain, where the protein is embedded in a heavy metal such as uranyl acetate, or in the frozen-hydrated state, where the sample is flash-frozen such that the buffer is vitrified and native conditions are preserved. Individual integrin particles are selected from low-dose micrographs, either by manual identification or an automated method using a cross-correlation search of the micrograph against a set of reference images. Due to the small size of integrin heterodimers (approximately 250 kDa) and the low electron dose required to minimize beam damage, the signal-to-noise level of individual particles is quite low, both by negative-stain electron microscopy and electron cryomicroscopy. Consequently, it is necessary to average many particle images with equivalent views. The particle images are subjected to reference-free alignment and classification, in which the particles are aligned to a common view and further grouped by statistical methods into classes with common orientations. Assessment of the structure from a set of two-dimensional averaged projections is often difficult, and a further three-dimensional (3D) reconstruction analysis is performed to classify each particle as belonging to a specific projection from a single 3D model. The 3D reconstruction algorithm is an iterative projection-matching routine in which the classified particles are used to construct a new, 3D map for the next iteration. Docking of known high-resolution structures of individual subdomains within the molecular envelope of the 3D EM map is used to derive a pseudoatomic model of the integrin complex. This approach of 3D EM image analysis and pseudoatomic modeling is a powerful strategy for exploring the structural biology of transmembrane signaling by integrins because it is likely that multiple conformational states will be difficult to crystallize, whereas the different states should be amenable to electron cryomicroscopy.

Spline-based image-to-volume registration for three-dimensional electron microscopy

This paper presents an algorithm based on a continuous framework for a posteriori angular and translational assignment in three-dimensional electron microscopy (3DEM) of single particles. Our algorithm can be used advantageously to refine the assignment of standard quantized-parameter methods by registering the images to a reference 3D particle model. We achieve the registration by employing a gradient-based iterative minimization of a least-squares measure of dissimilarity between an image and a projection of the volume in the Fourier transform (FT) domain. We compute the FT of the projection using the central-slice theorem (CST). To compute the gradient accurately, we take advantage of a cubic B-spline model of the data in the frequency domain. To improve the robustness of the algorithm, we weight the cost function in the FT domain and apply a "mixed" strategy for the assignment based on the minimum value of the cost function at registration for several different initializations. We validate our algorithm in a fully controlled simulation environment. We show that the mixed strategy improves the assignment accuracy; on our data, the quality of the angular and translational assignment was better than 2 voxel (i.e., 6.54 angstroms). We also test the performance of our algorithm on real EM data. We conclude that our algorithm outperforms a standard projection-matching refinement in terms of both consistency of 3D reconstructions and speed.

A multiresolution approach to orientation assignment in 3D electron microscopy of single particles

Three-dimensional (3D) electron microscopy (3DEM) aims at the determination of the spatial distribution of the Coulomb potential of macromolecular complexes. The 3D reconstruction of a macromolecule using single-particle techniques involves thousands of 2D projections. One of the key parameters required to perform such a 3D reconstruction is the orientation of each projection image as well as its in-plane orientation. This information is unknown experimentally and must be determined using image-processing techniques. We propose the use of wavelets to match the experimental projections with those obtained from a reference 3D model. The wavelet decomposition of the projection images provides a framework for a multiscale matching algorithm in which speed and robustness to noise are gained. Furthermore, this multiresolution approach is combined with a novel orientation selection strategy. Results obtained from computer simulations as well as experimental data encourage the use of this approach.

Normalizing projection images: a study of image normalizing procedures for single particle three-dimensional electron microscopy

In the process of three-dimensional reconstruction of single particle biological macromolecules several hundreds, or thousands, of projection images are taken from tens or hundreds of independently digitized micrographs. These different micrographs show differences in the background grey level and particle contrast and, therefore, have to be normalized by scaling their pixel values before entering the reconstruction process. In this work several normalization procedures are studied using a statistical comparison framework. We finally show that the use of the different normalization methods affects the reconstruction quality, providing guidance on the choice of normalization procedures.

A low-dose electron diffraction assay for protection of protein structure against damage from drying

A new assay using low-dose electron diffraction to measure the protection of protein structure against damage from drying is described. When thin single crystals of catalase are dried within water alone, low-dose electron diffraction yields no Bragg spots. Drying within an experimental aqueous solution that permits detection of diffraction spots thereby indicates a positive result, and the extent of these Bragg reflections into the high angle range gives a quantitative measure of the degree of protection. Bragg spots out to 3.73.9 are recorded for drying within 100 mM solutions of the known structure-preserving sugars, sucrose, tannin, and trehalose. The ability of trehalose to maintain native protein structure during drying starts between 10 and 25 mM, and changes only slightly at concentrations above this threshold; with drying in 150-mM trehalose, catalase crystals yield diffraction spots out to 3.7. Drying within the organic nonsugar polymer polyvinylpyrrolidone gives Bragg spots to 4.0. This new assay should be useful to measure the unexamined structure-preserving capabilities of modified sugars, other nonsugars, and mixtures to identify which protective matrix maintains native protein structure to the greatest extent during drying; electron crystallography using that optimal matrix should yield protein structure at improved levels of high resolution.

Negative staining permits 4.0 A resolution with low-dose electron diffraction of catalase crystals

Low-dose electron diffraction of thin single crystals of catalase that are negatively stained with the light-atom compound, dipotassium glucose-1,6-diphosphate, reveals Bragg reflections extending to 4.0A (= 0.40 nm). Under the same conditions, negative staining with the traditional heavy-metal salt, ammonium molybdate, also gives diffraction spots extending to 4.0 A. These results establish that negative staining of protein crystals preserves periodic structural information into the high-resolution range, unlike the widely accepted current belief that this methodology can give a resolution limited to only 20-25 A.

Structural and functional imaging with carbon nanotube AFM probes

Atomic force microscopy (AFM) has great potential as a tool for structural biology, a field in which there is increasing demand to characterize larger and more complex biomolecular systems. However, the poorly characterized silicon and silicon nitride probe tips currently employed in AFM limit its biological applications. Carbon nanotubes represent ideal AFM tip materials due to their small diameter, high aspect ratio, large Young's modulus, mechanical robustness, well-defined structure, and unique chemical properties. Nanotube probes were first fabricated by manual assembly, but more recent methods based on chemical vapor deposition provide higher resolution probes and are geared towards mass production, including recent developments that enable quantitative preparation of individual single-walled carbon nanotube tips [J. Phys. Chem. B 105 (2001) 743]. The high-resolution imaging capabilities of these nanotube AFM probes have been demonstrated on gold nanoparticles and well-characterized biomolecules such as IgG and GroES. Using the nanotube probes, new biological structures have been investigated in the areas of amyloid-beta protein aggregation and chromatin remodeling, and new biotechnologies have been developed such as AFM-based haplotyping. In addition to measuring topography, chemically functionalized AFM probes can measure the spatial arrangement of chemical functional groups in a sample. However, standard silicon and silicon nitride tips, once functionalized, do not yield sufficient resolution to allow combined structural and functional imaging of biomolecules. The unique end-group chemistry of carbon nanotubes, which can be arbitrarily modified by established chemical methods, has been exploited for chemical force microscopy, allowing single-molecule measurements with well-defined functionalized tips.

Single particle macromolecular structure determination via electron microscopy

Three-dimensional structure determination of macromolecules and macromolecular complexes is an integral part of understanding biological functions. For large protein and macromolecular complexes structure determination is often performed using electron cryomicroscopy where projection images of individual macromolecular complexes are combined to produce a three-dimensional reconstruction. Single particle methods have been devised to perform this structure determination for macromolecular complexes with little or no underlying symmetry. These computational methods generally involve an iterative process of aligning unique views of the macromolecular images followed by determination of the angular components that define those views. In this review, this structure determination process is described with the aim of clarifying a seemingly complex structural method.

Two-dimensional crystallogenesis of transmembrane proteins

Two-dimensional crystallogenesis is a crucial step in the long road that leads to the determination of macromolecules structure via electron crystallography. The necessity of having large and highly ordered samples can hold back the resolution of structural works for a long time, and this, despite improvements made in electron microscopes or image processing. Today, finding good conditions for growing two-dimensional crystals still rely on either "biocrystallo-cooks" or on lucky ones. The present review presents the field by first describing the different crystals that one can encounter and the different crystallisation methods used. Then, the effects of different components (such as protein, lipids, detergent, buffer, and temperature) and the different methods (dialysis, hydrophobic adsorption) are discussed. This discussion is punctuated by correspondences made to the world of three-dimensional crystallogenesis. Finally, a guide for setting up 2D crystallogenesis experiments, built on the discussion mentioned before, is proposed to the reader. More than giving recipes, this review is meant to open up the discussions in this field.

Cryosubstitution of frozen biological specimens in electron microscopy: use and application as an alternative to chemical fixation

Frozen bacterial cells were low-temperature embedded after cryosubstitution at 185K in organic solvent. Temperature elevation of cryosubstituted E. coli cells, when still in organic solvent, had no effect on the preservation of chromatin structure. The achieved stabilization was found to be established independent of the presence of the chemical fixative. Cryosubstitution without the use of a chemical fixative allows for excellent preservation of cellular ultrastructure. Beyond that, the approach is preferential for sensitive antigens in immuno-electron microscopy. We conclude that low-temperature dehydration by cryosubstitution in organic solvents is able to form stable cross-links between macromolecules by hydrophobic interactions.

Determining the structure of biological macromolecules by transmission electron microscopy, single particle analysis and 3D reconstruction

Single particle analysis and 3D reconstruction of molecules imaged by transmission electron microscopy have provided a wealth of medium to low resolution structures of biological molecules and macromolecular complexes, such as the ribosome, viruses, molecular chaperones and photosystem II. In this review, the principles of these techniques are introduced in a non-mathematical way, and single particle analysis is compared to other methods used for structural studies. In particular, the recent X-ray structures of the ribosome and of ribosomal subunits allow a critical comparison of single particle analysis and X-ray crystallography. This has emphasised the rapidity with which single particle analysis can produce medium resolution structures of complexes that are difficult to crystallise. Once crystals are available, X-ray crystallography can produce structures at a much higher resolution. The great similarities now seen between the structures obtained by the two techniques reinforce confidence in the use of single particle analysis and 3D reconstruction, and show that for electron cryo-microscopy structure distortion during sample preparation and imaging has not been a significant problem. The ability to analyse conformational flexibility and the ease with which time-resolved studies can be performed are significant advantages for single particle analysis. Future improvements in single particle analysis and electron microscopy should increase the attainable resolution. Combining single particle analysis of macromolecular complexes and electron tomography of subcellular structures with high-resolution X-ray structures may enable us to realise the ultimate dream of structural biology-a complete description of the macromolecular complexes of the cell in their different functional states.

Light atom derivatives of structure-preserving sugars are unconventional negative stains

Although glucose and certain other sugars are known to greatly reduce distortion and denaturation of proteins during drying, use of this monosaccharide as an experimental negative stain does not permit imaging of lattice periodicities in test specimens of thin catalase crystals. However, the potassium and sodium salts of several forms of monophosphorylated glucose (200 mM), diphosphorylated glucose, monosulfated glucose, maltose-1-phosphate, and trehalose-6-phosphate, all dry into a glassy layer and scatter transmitted electrons sufficiently to show the 86 A major periods in catalase crystals. Glucose-6-phosphate provides sufficient image contrast at concentrations from 2 mM (=0.067%) to 500 mM (= 16.8%). Underfocusing increases visualization of the periodic lattice, indicating a large contribution of phase contrast to these images. Upon exposure to the electron beam, thicker regions of derivatized saccharides or pure glucose develop bubbling; this redistribution of dried stain largely can be precluded by imaging with low-dose exposures. Power spectra of images of catalase crystals contained within 200 mM disodium glucose-6-phosphate show that periodic information can be recorded to 21 A; some individual features of dipotassium glucose-6-phosphate distribution within the protein lattice have a measured width of around 5 A. The experimental results demonstrate that structure-preserving mono- and di-saccharides also serve successfully as negative stains after they are coupled to light atom scatterers.