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Direct methods in protein crystallography.

It is pointed out that the 'direct methods' of phase determination for small-structure crystallography do not have immediate applicability to macromolecular structures. The term 'direct methods in macromolecular crystallography' is suggested to categorize a spectrum of approaches to macromolecular structure determination in which the analyses are characterized by the use of two-phase and higher-order-phase invariants. The evaluation of the invariants is generally obtained by the use of heavy-atom techniques. The results of a number of the more recent algebraic and probabilistic studies involving isomorphous replacement and anomalous dispersion thus become valid subjects for discussion here. These studies are described and suggestions are also presented concerning future applicability. Additional discussion concerns the special techniques of filtering, the use of non-crystallographic symmetry, some features of maximum entropy and attempts to apply phase-determining formulas to the refinement of macromolecular structure. It is noted that, in addition to the continuing remarkable progress in macromolecular crystallography based on the traditional applications of isomorphous replacement and anomalous dispersion, recent valuable advances have been made in the application of non-crystallographic symmetry, in particular, to virus structures and in applications of filtering. Good progress has also been reported in the application of exact linear algebra to multiple-wavelength anomalous-dispersion investigations of structures containing anomalous scatterers of only moderate scattering power.

Crystallography

Identification of a Fab interaction footprint site on an icosahedral virus by cryoelectron microscopy and X-ray crystallography.

Biological processes frequently require the formation of multi-protein or nucleoprotein complexes. Some of these complexes have been produced in homogeneous form, crystallized, and analysed at high resolution by X-ray crystallography (for example, see refs 1-3). Most, however, are too large or too unstable to crystallize. Individual components of such complexes can often be purified and analysed by crystallography. Here we report how the coordinated application of cryoelectron microscopy, three-dimensional image reconstruction, and X-ray crystallography provides a powerful approach to study large, unstable macromolecular complexes. Three-dimensional reconstructions of native cowpea mosaic virus (CMPV) and a complex of CPMV saturated with a Fab fragment of a monoclonal antibody against the virus have been determined at 23 A resolution from low-irradiation images of unstained, frozen-hydrated samples. Despite the nominal resolution of the complex, the physical footprint of the Fab on the capsid surface and the orientation and position of the Fab have been determined to within a few ångstroms by fitting atomic models of CPMV4 and Fab (Kol)5 to reconstructed density maps.

Antibodies, Monoclonal

Electron crystallography of linear polysaccharides.

The present article illustrates how the use of electron diffraction data coupled with realistic molecular modeling can yield to unambiguous structural elucidation of linear polysaccharides in the crystalline state. The series of the original ab initio quantitative crystal structure analyses is presented, along with a description of the methods. Pertinent examples showing the unique ability and utility of electron crystallography to yield new structural insights for biologically interesting macromolecules are given.

Crystallography

Electron crystallography at atomic resolution: the structure of the odd-chain paraffin n-tritriacontane.

The crystal structure of the odd-chain paraffin, n-tritriacontane, nC33H68, is determined directly by using low-dose electron microscope images and electron diffraction intensity data from epitaxially grown microcrystals. Phases of the most intense "polyethylene" reflections are determined from triplet structure-invariant relationships often used in X-ray crystallography. Low-dose electron microscopic images provide phases of the low-angle "lamellar" reflections and these can be used with one-dimensional structure-invariant relationships to determine other phases on the 00l reciprocal row. The phase set is sufficient to calculate an electrostatic potential map which is directly interpretable as a structure image at atomic resolution.

Crystallography

High-resolution electron crystallography of light-harvesting chlorophyll a/b-protein complex in three different media.

Large two-dimensional crystals of the light-harvesting chlorophyll a/b-protein complex (LHC-II) from the photosynthetic membrane of pea chloroplasts were grown by a new method from detergent solution. The structure of these crystals was examined by electron crystallography, using three different media to preserve high-resolution detail: vitrified water, glucose and tannin. The crystals diffracted electrons to at least 3.2 A resolution in all three media. R-factors between the three data sets of electron diffraction amplitudes ranged from 6.4% to 14.3%. Fourier difference maps were generated and compared to a projection map of the complex at 3.4 A resolution. No significant differences were found, proving that all three media preserved the native structure of LHC-II at high resolution. The probability of recording high-quality electron diffraction patterns with tannin was 90%. With glucose and water this probability was lower by a factor of 10 to 20, suggesting that tannin may be preferable as a preserving medium for sensitive biological specimens.

Chlorophyll

SQUID: a program for the analysis and display of data from crystallography and molecular dynamics.

SQUID is a flexible computer program that allows the analysis and display of molecular coordinates from crystallography, NMR, and molecular dynamics. The program can also display two-dimensional and three-dimensional data using many graph types, as well as perform array processing of data with numerous intrinsic functions. Graphics are based on the use of "move" and "draw" instructions, allowing easy development of new device drivers, including vector plotters.

Computer Graphics

Electron crystallography at atomic resolution: ab initio structure analysis of copper perchlorophthalocyanine.

High-voltage (1200 kV) electron diffraction intensities from approximately 100 A thick crystals of copper perchlorophthalocyanine are used to determine the molecular packing at atomic resolution, thus greatly exceeding the structure detail observed by electron microscopy. Initial crystallographic phases were determined by direct methods often used in X-ray crystallography, i.e., locating the positions of heavy (Cl and Cu) atoms in the structure. All other atom positions were found in subsequent Fourier refinement (final R = 0.28). Calculated bond distances and angles are similar to those found in the earlier X-ray crystal structure of the unchlorinated parent compound.

Copper

Assessment of resolution in biological electron crystallography.

The resolution of images or density maps produced by electron microscopy and electron crystallography can be objectively defined in terms of the spatial frequency of the highest resolution diffraction spot, or Fourier coefficient, included in the data processing. In practice, this objective definition of resolution is expected to be too optimistic if the amplitudes of the highest resolution structure factors are too weak, if the population of high resolution reflections is too sparse, or if the signal-to-noise ratio of the high resolution data is too low. Calculated examples are presented here which illustrate how the apparent resolution in images of a membrane protein, bacteriorhodopsin, can be reduced from a nominal value of 3.5 A by weak amplitudes, sparse data or high noise levels. These calculations provide concrete examples which can serve as a guide when estimating whether the objective definition of image resolution is likely to correspond to a practical, structurally useful estimate of image resolution.

Bacteriorhodopsins

Protein crystallography: more surprises ahead.

As of 1989, over 400 protein structures have been determined, with some 100 solved during the last year. The advances in protein crystallography that have led to this explosion of information are surveyed, and some frontiers of the science are briefly noted.

Crystallography

Protein engineering of xylose (glucose) isomerase from Actinoplanes missouriensis. 1. Crystallography and site-directed mutagenesis of metal binding sites.

The structure and function of the xylose (glucose) isomerase from Actinoplanes missouriensis have been analyzed by X-ray crystallography and site-directed mutagenesis after cloning and overexpression in Escherichia coli. The crystal structure of wild-type enzyme has been refined to an R factor of 15.2% against diffraction data to 2.2-A resolution. The structures of a number of binary and ternary complexes involving wild-type and mutant enzymes, the divalent cations Mg2+, Co2+, or Mn2+, and either the substrate xylose or substrate analogs have also been determined and refined to comparable R factors. Two metal sites are identified. Metal site 1 is four-coordinated and tetrahedral in the absence of substrate and is six-coordinated and octahedral in its presence; the O2 and O4 atoms of linear inhibitors and substrate bind to metal 1. Metal site 2 is octahedral in all cases; its position changes by 0.7 A when it binds O1 of the substrate and by more than 1 A when it also binds O2; these bonds replace bonds to carboxylate ligands from the protein. Side chains involved in metal binding have been substituted by site-directed mutagenesis. The biochemical properties of the mutant enzymes are presented. Together with structural data, they demonstrate that the two metal ions play an essential part in binding substrates, in stabilizing their open form, and in catalyzing hydride transfer between the C1 and C2 positions.

Actinomycetales

Three-dimensional structure of plant light-harvesting complex determined by electron crystallography.

The structure of the light-harvesting chlorophyll a/b-protein complex, a membrane protein serving as the major antenna of solar energy in plant photosynthesis, has been determined at 6 A resolution by electron crystallography. Within the complex, three membrane-spanning alpha helices and 15 chlorophyll molecules are resolved. There is an intramolecular diad relating two of the alpha helices and some of the chlorophylls. The spacing of the chlorophylls suggests energy transfer by delocalized exciton coupling and Förster mechanisms.

Chlorophyll

Structural architecture of an outer membrane channel as determined by electron crystallography.

Porins are a family of membrane channels commonly found in the outer membranes of Gram-negative bacteria where they serve as diffusional pathways for waste products, nutrients and antibiotics, and can also be receptors for bacteriophages. Porin channels have been shown in vitro to be voltage-gated. They can exhibit slight selectivities for certain solutes; for example PhoE porin has some selectivity for anionic and phosphate-containing compounds. Unlike many known membrane proteins which often contain long stretches of hydrophobic segments that are believed to traverse the membrane in a helical conformation, porins are found to have charged residues distributed almost uniformly along their primary sequences and have most of their secondary structure in a beta-sheet conformation. We have made crystalline patches of PhoE porin embedded in a lipid bilayer and have used these to determine the structure of PhoE porin by electron crystallography to a resolution of 6A. The basic structure consists of a trimer of elliptically shaped, cylindrical walls of beta sheet. Each cylinder has an inner lining, formed by parts of the polypeptide, that defines the channel size. The structure provides a clue as to how deletions of segments of polypeptide, which are found in certain mutants, can result in an actual increase in the channel size.

Bacterial Outer Membrane Proteins

Observation of the light-triggered binding of pyrone to chymotrypsin by Laue x-ray crystallography.

Crystals of gamma-chymotrypsin inhibited with the photodissociable group trans-p-diethylamino-o-hydroxy-alpha-methylcinnamate were irradiated with a 1-msec flash from a high-energy xenon flashlamp in the presence of the mechanism-based inhibitor 3-benzyl-6-chloro-2-pyrone. The ensuing reaction was monitored by collection of sequential, single-exposure Laue x-ray diffraction patterns. The experiment was also performed in solution to verify the regeneration of catalytic activity and the subsequent inhibition of the enzyme by pyrone after photolysis. The resulting crystallographic structures show the presence of covalently bound cinnamate prior to photolysis, the generation of "free" enzyme after irradiation of the crystal, and the slow formation of a pyrone-inhibited complex several hours after photolysis. The structure of the free enzyme shows a significant proportion of the active sites in the crystal to contain a naturally occurring, noncovalently bound tetrapeptide inhibitor [Dixon, M.M. & Matthews, B.W. (1989) Biochemistry 28, 7033-7038], even after cinnamate acylation and photolysis. Data collected simultaneously with irradiation show the crystal to be slightly disordered during photolysis, leading to streaked x-ray photos. The resulting maps are suggestive of a bicyclic coumarin species produced by photolysis and deacylation; however, the electron density is difficult to model unambiguously by one unique chemical state. Nevertheless, Laue crystallography is shown to be capable of visualizing time-dependent chemical changes in the active site of an enzyme.

Binding Sites

Application of crystallography to the design of antiviral agents.

A historical review of x-ray crystallography introduces basic concepts and describes the potential of this science to the rational design of antiviral agents. Following a brief introduction to the study of antiviral compounds that inhibit early stages of rhino- and enteroviral infections, the impact of structural studies on rational drug design is discussed in relation to known viral structures.

Antiviral Agents

The renin-angiotensin system: an example of the study of linear peptides by x-ray crystallography.

In order to get information on the bioactive conformations of the endogenic renin substrate, a few peptide segments of angiotensinogen, along with a pepstatin analogue, were studied in the solid state by x-ray crystallography. These results are compared with the conformations of acidic proteinase inhibitors observed at the level of the active site. Such a comparison allows us to point out some analogies and differences between the observed conformation for the peptide alone and the conformations on the active sites. The analysis of the results should be a good starting point for making hypotheses on the renin substrate bioactive conformation(s).

Angiotensinogen

Adenovirus polypeptide IX revealed as capsid cement by difference images from electron microscopy and crystallography.

Particles of adenovirus type 2 (ad2), when disassembled, consistently yield groups-of-nine (GON) hexons, which are the major virion shell component. The location of a minor component (6%) of the GON has been determined using a novel combination of electron microscopy and X-ray crystallography. The Brookhaven Scanning Transmission Electron Microscope (STEM) was used to estimate the distribution of protein in the GON to a resolution of 15-18 A. The relative hexon positions then were determined to within 1 A using a model of the hexon derived from the X-ray crystal structure to search the STEM image. The difference image between the STEM image and a model hexon group reveals individual monomers of polypeptide IX extending along the hexon--hexon interfaces. The distribution confirms our earlier proposal that four trimers of polypeptide IX are embedded in the large cavities in the upper surface of the GON to cement hexons into a highly-stable assembly.

Adenoviruses, Human

Comparisons of the low-resolution structures of ornithine decarboxylase by electron microscopy and X-ray crystallography: the utility of methylamine tungstate stain and Butvar support film in the study of macromolecules by transmission electron microscopy.

The structure of ornithine decarboxylase (Mr approximately 1.04 x 10(6] from Lactobacillus 30a was investigated by electron microscopy and x-ray crystallography. Electron micrographs showed the structure to be well preserved in methylamine tungstate stain. The molecules interacted little with the Butvar support film, yielding three unique projections: a hexagonal ring (front view) and two rod-shaped projections (edge views). Stereo pairs revealed a novel feature of the Butvar film in that some molecules were suspended in the stain in random orientations. Consequently, the relatedness of the hexagonal ring and the rod-shaped particles could be demonstrated since some particle shapes interconverted when the stage was tilted +/- 45 degrees. The two edge views were related by a 30 degrees rotation about the sixfold axis. Image averaging of the three primary views suggested a dodecamer (point group symmetry 622) composed of two hexameric rings, apparently in an eclipsed configuration. To investigate the structural organization of the complex, the dissociation of the enzyme was studied by electron microscopy. The dissociation process involved the initial breakage of the ring followed by separation of dimers from the ring (one subunit from each of the two hexamers). Thus, the dodecamer forms as a hexamer of dimers rather than a dimer of hexamers. These structural studies were confirmed and extended by x-ray crystallographic analysis. A 4.0-A resolution electron density map revealed two hexameric rings, consisting of six closely associated dimers, tilted approximately 10 degrees with respect to the molecular twofold axis. Electron density projections of the three primary views of the molecule derived from the x-ray data corresponded closely to those obtained from image averaging of the electron microscopy data, thereby establishing in a novel way the reliability of the electron microscopy studies. Methylamine tungstate stain and Butvar support film therefore offer unique advantages for investigating protein structures by electron microscopy.

Image Processing, Computer-Assisted

Hydroxyethylene isostere inhibitors of human immunodeficiency virus-1 protease: structure-activity analysis using enzyme kinetics, X-ray crystallography, and infected T-cell assays.

Analogues of peptides ranging in size from three to six amino acids and containing the hydroxyethylene dipeptide isosteres Phe psi Gly, Phe psi Ala, Phe psi NorVal, Phe psi Leu, and Phe psi Phe, where psi denotes replacement of CONH by (S)-CH(OH)CH2, were synthesized and studied as HIV-1 protease inhibitors. Inhibition constants (Ki) with purified HIV-1 protease depend strongly on the isostere in the order Phe psi Gly greater than Phe psi Ala greater than Phe psi NorVal greater than Phe psi Leu greater than Phe psi Phe and decrease with increasing length of the peptide analogue, converging to a value of 0.4 nM. Ki values are progressively less dependent on inhibitor length as the size of the P1' side chain within the isostere increases. The structures of HIV-1 protease complexed with the inhibitors Ala-Ala-X-Val-Val-OMe, where X is Phe psi Gly, Phe psi Ala, Phe psi NorVal, and Phe psi Phe, have been determined by X-ray crystallography (resolution 2.3-3.2 A). The crystals exhibit symmetry consistent with space group P6(1) with strong noncrystallographic 2-fold symmetry, and the inhibitors all exhibit 2-fold disorder. The inhibitors bind in similar conformations, forming conserved hydrogen bonds with the enzyme. The Phe psi Gly inhibitor adopts an altered conformation that places its P3' valine side chain partially in the hydrophobic S1' pocket, thus suggesting an explanation for the greater dependence of the Ki value on inhibitor length in the Phe psi Gly series. From the kinetic and crystallographic data, a minimal inhibitor model for tight-binding inhibition is derived in which the enzyme subsites S2-S2' are optimally occupied. The Ki values for several compounds are compared with their potencies as inhibitors of proteolytic processing in T-cell cultures chronically infected with HIV-1 (MIC values) and as inhibitors of acute infectivity (IC50 values). There is a rank-order correspondence, but a 20-1000-fold difference, between the values of Ki and those of MIC or IC50. IC50 values can approach those of Ki but are highly dependent on the conditions of the acute infectivity assay and are influenced by physiochemical properties of the inhibitors such as solubility.

Amino Acid Sequence