Surface processes in the crystallization of turnip yellow mosaic virus visualized by atomic force microscopy

Precrystallization solute assemblies and crystal symmetry

Solution crystallization is a part of the synthesis of materials ranging from geological and biological minerals to pharmaceuticals, fine chemicals, and advanced electronic components. Attempts to predict the structure, growth rates and properties of emerging crystals have been frustrated, in part, by the poor understanding of the correlations between the oligomeric state of the solute, the growth unit, and the crystal symmetry. To explore how a solute monomer or oligomer is selected as the unit that incorporates into kinks and how crystal symmetry impacts this selection, we combine scanning probe microscopy, optical spectroscopy, and all-atom molecular simulations using as examples two organic materials, olanzapine (OZPN) and etioporphyrin I (EtpI). The dominance of dimeric structures in OZPN crystals has spurred speculation that the dimers preform in the solution, where they capture the majority of the solute, and then assemble into crystals. By contrast, EtpI in crystals aligns in parallel stacks of flat EtpI monomers unrelated by point symmetry. Raman and absorption spectroscopies show that solute monomers are the majority solute species in solutions of both compounds. Surprisingly, the kinetics of incorporation of OZPN into kinks is bimolecular, indicating that the growth unit is a solute dimer, a minority solution component. The disconnection between the dominant solute species, the growth unit, and the crystal symmetry is even stronger with EtpI, for which the (010) face grows by incorporating monomers, whereas the growth unit of the (001) face is a dimer. Collectively, the crystallization kinetics results with OZPN and EtpI establish that the structures of the dominant solute species and of the incorporating solute complex do not correlate with the symmetry of the crystal lattice. In a broader context, these findings illuminate the immense complexity of crystallization scenarios that need to be explored on the road to the understanding and control of crystallization.

Tracing transport of protein aggregates in microgravity versus unit gravity crystallization

Microgravity conditions have been used to improve protein crystallization from the early 1980s using advanced crystallization apparatuses and methods. Early microgravity crystallization experiments confirmed that minimal convection and a sedimentation-free environment is beneficial for growth of crystals with higher internal order and in some cases, larger volume. It was however realized that crystal growth in microgravity requires additional time due to slower growth rates. The progress in space research via the International Space Station (ISS) provides a laboratory-like environment to perform convection-free crystallization experiments for an extended time. To obtain detailed insights in macromolecular transport phenomena under microgravity and the assumed reduction of unfavorable impurity incorporation in growing crystals, microgravity and unit gravity control experiments for three different proteins were designed. To determine the quantity of impurity incorporated into crystals, fluorescence-tagged aggregates of the proteins (acting as impurities) were prepared. The recorded fluorescence intensities of the respective crystals reveal reduction in the incorporation of aggregates under microgravity for different aggregate quantities. The experiments and data obtained, provide insights about macromolecular transport in relation to molecular weight of the target proteins, as well as information about associated diffusion behavior and crystal lattice formation. Results suggest one explanation why microgravity-grown protein crystals often exhibit higher quality. Furthermore, results from these experiments can be used to predict which proteins may benefit more from microgravity crystallization.

Single-particle virology

The development of advanced experimental methodologies, such as optical tweezers, scanning-probe and super-resolved optical microscopies, has led to the evolution of single-molecule biophysics, a field of science that allows direct access to the mechanistic detail of biomolecular structure and function. The extension of single-molecule methods to the investigation of particles such as viruses permits unprecedented insights into the behavior of supramolecular assemblies. Here we address the scope of viral exploration at the level of individual particles. In an era of increased awareness towards virology, single-particle approaches are expected to facilitate the in-depth understanding, and hence combating, of viral diseases.

Algal Viruses: The (Atomic) Shape of Things to Come

Visualization of algal viruses has been paramount to their study and understanding. The direct observation of the morphological dynamics of infection is a highly desired capability and the focus of instrument development across a variety of microscopy technologies. However, the high temporal (ms) and spatial resolution (nm) required, combined with the need to operate in physiologically relevant conditions presents a significant challenge. Here we present a short history of virus structure study and its relation to algal viruses and highlight current work, concentrating on electron microscopy and atomic force microscopy, towards the direct observation of individual algae⁻virus interactions. Finally, we make predictions towards future algal virus study direction with particular focus on the exciting opportunities offered by modern high-speed atomic force microscopy methods and instrumentation.

Atomic force microscope, molecular imaging, and analysis

Image visibility is a central issue in analyzing all kinds of microscopic images. An increase of intensity contrast helps to raise the image visibility, thereby to reveal fine image features. Accordingly, a proper evaluation of results with current imaging parameters can be used for feedback on future imaging experiments. In this work, we have applied the Laplacian function of image intensity as either an additive component (Laplacian mask) or a multiplying factor (Laplacian weight) for enhancing image contrast of high-resolution AFM images of two molecular systems, an unknown protein imaged in air, provided by AFM COST Action TD1002 (http://www.afm4nanomedbio.eu/), and tobacco mosaic virus (TMV) particles imaged in liquid. Based on both visual inspection and quantitative representation of contrast measurements, we found that the Laplacian weight is more effective than the Laplacian mask for the unknown protein, whereas for the TMV system the strengthened Laplacian mask is superior to the Laplacian weight. The present results indicate that a mathematical function, as exemplified by the Laplacian function, may yield varied processing effects with different operations. To interpret the diversity of molecular structure and topology in images, an explicit expression for processing procedures should be included in scientific reports alongside instrumental setups.

Large-volume protein crystal growth for neutron macromolecular crystallography

Neutron macromolecular crystallography (NMC) is the prevailing method for the accurate determination of the positions of H atoms in macromolecules. As neutron sources are becoming more available to general users, finding means to optimize the growth of protein crystals to sizes suitable for NMC is extremely important. Historically, much has been learned about growing crystals for X-ray diffraction. However, owing to new-generation synchrotron X-ray facilities and sensitive detectors, protein crystal sizes as small as in the nano-range have become adequate for structure determination, lessening the necessity to grow large crystals. Here, some of the approaches, techniques and considerations for the growth of crystals to significant dimensions that are now relevant to NMC are revisited. These include experimental strategies utilizing solubility diagrams, ripening effects, classical crystallization techniques, microgravity and theoretical considerations.

Atomic force microscopy investigation of viruses

Atomic force microscopy (AFM) has proven to be a valuable approach to delineate the architectures and detailed structural features of a wide variety of viruses. These have ranged from small plant satellite viruses of only 17 nm to the giant mimivirus of 750 nm diameter, and they have included diverse morphologies such as those represented by HIV, icosahedral particles, vaccinia, and bacteriophages. Because it is a surface technique, it provides images and information that are distinct from those obtained by electron microscopy, and in some cases, at even higher resolution. By enzymatic and chemical dissection of virions, internal structures can be revealed, as well as DNA and RNA. The method is relatively rapid and can be carried out on both fixed and unfixed samples in either air or fluids, including culture media. It is nondestructive and even non-perturbing. It can be applied to individual isolated virus, as well as to infected cells. AFM is still in its early development and holds great promise for further investigation of biological systems at the nanometer scale.

Atomic force microscopy in imaging of viruses and virus-infected cells

Atomic force microscopy (AFM) can visualize almost everything pertinent to structural virology and at resolutions that approach those for electron microscopy (EM). Membranes have been identified, RNA and DNA have been visualized, and large protein assemblies have been resolved into component substructures. Capsids of icosahedral viruses and the icosahedral capsids of enveloped viruses have been seen at high resolution, in some cases sufficiently high to deduce the arrangement of proteins in the capsomeres as well as the triangulation number (T). Viruses have been recorded budding from infected cells and suffering the consequences of a variety of stresses. Mutant viruses have been examined and phenotypes described. Unusual structural features have appeared, and the unexpectedly great amount of structural nonconformity within populations of particles has been documented. Samples may be imaged in air or in fluids (including culture medium or buffer), in situ on cell surfaces, or after histological procedures. AFM is nonintrusive and nondestructive, and it can be applied to soft biological samples, particularly when the tapping mode is employed. In principle, only a single cell or virion need be imaged to learn of its structure, though normally images of as many as is practical are collected. While lateral resolution, limited by the width of the cantilever tip, is a few nanometers, height resolution is exceptional, at approximately 0.5 nm. AFM produces three-dimensional, topological images that accurately depict the surface features of the virus or cell under study. The images resemble common light photographic images and require little interpretation. The structures of viruses observed by AFM are consistent with models derived by X-ray crystallography and cryo-EM.

Mass transfer limitations at crystallizing interfaces in an atomic force microscopy fluid cell: a finite element analysis

Although atomic force microscopy (AFM) has emerged as the preeminent experimental tool for real-time in situ measurements of crystal growth processes in solution, relatively little is known about the mass transfer limitations that may impact these measurements. We present a continuum analysis of flow and mass transfer in an atomic force microscope fluid cell during crystal growth, using data acquired from calcium oxalate monohydrate (COM) crystal growth measurements as a comparison. Steady-state flows and solute concentration fields are computed using a three-dimensional, finite element method implemented on a parallel supercomputer. Steady-state flow results are compared with flow visualization experiments to validate the model. Computations of the flow field demonstrate how nonlinear momentum transport alters the spatial structure of the flow with increasing flow volume, altering mass transport conditions near the AFM cantilever and tip. The simulations demonstrate that the combination of solute depletion from crystal growth and mass transfer resistance lowers the solute concentration in the region between the tip and the crystal compared with the solute concentration at the inlet of the AFM cell. For example, using experimentally measured growth rates for COM, the solute concentration in this region is 3.1% lower than the inlet value because the solute consumed by crystal growth beneath the AFM tip cannot be replenished fully due to mass transport limitations. The simulations also reveal that increasing the flow rate through the cell does not affect this difference significantly because of the inherent shielding by the AFM tip in proximity with the crystal surface. Models such as the one presented here, used in conjunction with AFM measurements, promise more precise interpretations of measurement data.

Atomic force microscopy investigation of Turnip Yellow Mosaic Virus capsid disruption and RNA extrusion

Turnip Yellow Mosaic Virus (TYMV) was subjected to a variety of procedures which disrupted the protein capsids and produced exposure of the ssRNA genome. The results of the treatments were visualized by atomic force microscopy (AFM). Both in situ and ex situ freeze-thawing produced RNA emission, though at low efficiency. The RNA lost from such particles was evident, in some cases in the process of exiting the virions. More severe disruption of TYMV and extrusion of intact RNA onto the substrate were produced by drying the virus and rehydrating with neutral buffer. Similar products were also obtained by heating TYMV to 70 -75 degrees C and by exposure to alkaline pH. Experiments showed the nucleic acid to have an elaborate secondary structure distributed linearly along its length.

Investigation by atomic force microscopy of the structure of Ty3 retrotransposon particles

Ty3, a member of the Metaviridiae family of long-terminal-repeat retrotransposons found in Saccharomyces cerevisiae, encodes homologs of retroviral Gag and Gag-Pol proteins, which, together with genomic RNA, assemble into virus-like particles (VLPs) that undergo processing and reverse transcription. The Ty3 structural proteins, capsid and nucleocapsid, contain major homology and nucleocapsid motifs similar to retrovirus capsid and nucleocapsid proteins, but Ty3 lacks a matrix-like structural domain amino terminal to capsid. Mass spectrometry analysis of Ty3 Gag3 processing products defined an acetylated Ser residue as the amino terminus of Gag3/p34, p27, and CA/p24 species and supported a model where p34 and p27 occur in phosphorylated forms. Using atomic force microscopy, VLPs were imaged from cells producing wild-type and protease and reverse transcriptase mutant Ty3. Wild-type VLPs were found to have a broad range of diameters, but the majority, if not all of the particles, exhibited arrangements of capsomeres on their surfaces which were consistent with icosahedral symmetry. Wild-type particles were in the range of 25 to 52 nm in diameter, with particles in the 42- to 52-nm diameter range consistent with T=7 symmetry. Both classes of mutant VLPs fell into a narrower range of 44 to 53 nm in diameter and appeared to be consistent with T=7 icosahedral symmetry. The smaller particles in the wild-type population likely correspond to VLPs that have progressed to reverse transcription or later stages, which do not occur in the protease and reverse transcriptase mutants. Ty3 VLPs did not undergo major external rearrangements during proteolytic maturation.

Birth and growth kinetics of brome mosaic virus microcrystals

The early steps of crystal nucleation and growth in Brome Mosaïc virus and polyethylene glycol mixtures were analyzed using time-resolved x-ray scattering (at the European Synchrotron Radiation Facility, Grenoble, France). The system was chosen as a crystallization model since the phase diagram of the macromolecule/polymer mixture was known to present, at high polymer concentration, a solid, precipitated phase made of the synchronized formation of a large number of microcrystals. The precipitation and crystallization of the samples was induced by the controlled mixing of virus and polymer using a stopped-flow device. Appearance and growth of Bragg diffraction peaks were used to follow the crystal nucleation and growth as a function of time, virus and polymer concentration, and polymer size. In all samples, the crystallization starts after a few seconds and proceeds for approximately 1-20 min until there is almost no virus left in the solution. The crystalline system was found to be face-centered cubic, with a unit cell size of 391 angstroms. The data analysis allowed us to show the presence of viruses in only two states, in solution or in crystals, revealing that the formation of periodic order proceeds without any detectable intermediate amorphous state.

Atomic force microscopy analysis of icosahedral virus RNA

Single-stranded genomic RNAs from four icosahedral viruses (poliovirus, turnip yellow mosaic virus (TYMV), brome mosaic virus (BMV), and satellite tobacco mosaic virus (STMV)) along with the RNA from the helical tobacco mosaic virus (TMV) were extracted using phenol/chloroform. The RNAs were imaged using atomic force microscopy (AFM) under dynamic conditions in which the RNA was observed to unfold. RNAs from the four icosahedral viruses initially exhibited highly condensed, uniform spherical shapes with diameters consistent with those expected from the interiors of their respective capsids. Upon incubation at 26 degrees C, poliovirus RNA gradually transformed into chains of globular domains having the appearance of thick, irregularly segmented fibers. These ultimately unwound further to reveal segmented portions of the fibers connected by single strands of RNA of 0.5-1 nm thickness. Virtually the same transformations were shown by TYMV and BMV RNA, and with heating, the RNA from STMV. Upon cooling, the chains of domains of poliovirus RNA and STMV RNA condensed and re-formed their original spherical shapes. TMV RNAs initially appeared as single-stranded threads of 0.5-1.0 nm diameter but took on the structure of the multidomain chains upon further incubation at room temperature. These ultimately condensed into short, thick chains of larger domains. Our observations suggest that classical extraction of RNA from icosahedral virions produces little effect on overall conformation. As tertiary structure is lost however, it is evident that secondary structural elements are arranged in a sequential, linear fashion along the polynucleotide chain. At least in the case of poliovirus and STMV, the process of tertiary structure re-formation from the linear chain of secondary structural domains proceeds in the absence of protein. RNA base sequence, therefore, may be sufficient to encode the conformation of the encapsidated RNA even in the absence of coat proteins.

Atomic force microscopy analysis of enveloped and non-enveloped viral entry into, and egress from, cultured cells

Since its invention, the atomic force microscope has been used to image a wide variety of biological samples, including viruses. Viral entry into, and egress from, cultured cells has been extensively studied using numerous scientific techniques and to a limited extent using atomic force microscopy. One of the main structural differences that can exist between viruses is the absence, or presence, of an envelope and this factor has consequences for the mode of viral entry and egress. In this study, the entry into, and egress from, cultured cells of enveloped and non-enveloped viruses were investigated using atomic force microscopy. No significant cell surface changes were observed following infection with enveloped or non-enveloped viruses. Although roughness analysis of viral entry revealed cell smoothing post-infection, no differences between the roughness values of enveloped and non-enveloped viral entry were observed. Line analysis of viral entry revealed minor differences between cells infected with an enveloped rather than a non-enveloped virus. These differences may represent a distinction between the uptake processes of enveloped and non-enveloped viruses. Studies of viral egress revealed that infected cells were undergoing cytopathic changes. Whilst topographic, height and roughness differences clearly occurred between virally- and mock-infected cells, no significant differences were elucidated between enveloped and non-enveloped viral egress.

Atomic force microscopy investigation of wild-type Moloney murine leukemia virus particles and virus particles lacking the envelope protein

Moloney murine leukemia virus (M-MuLV) lacking the gene for the envelope glycoprotein (env(-)) was produced in NIH 3T3 cells and investigated using atomic force microscopy (AFM). The particles were compared with similarly produced wild-type virions, some of which had been exposed to a monoclonal antibody against the surface component of the envelope protein (SU protein). The env(-) particles generally exhibit a distinctly different external appearance suggesting only a low density of associated proteins that have an almost fluid, mechanically unstable character. The weakly associated proteins may be host cell membrane proteins that are incorporated into the viral membrane in place of or in addition to virus envelope protein. The amount of this non-viral protein on virion surfaces appears to vary from negligible in most cases to a substantial complement in others. It seems clear that the presence of the envelope protein, in a mechanical sense, significantly strengthens and stabilizes the virion envelope. Binding of monoclonal antibody to wild-type virions indicates that some particles expose a significant amount of antigen while adjacent virions may not. This suggests that the conformation of the envelope glycoprotein or the disposition of oligosaccharides may be different among particles, on some virions exposing the specific epitope, and others little or none.

Atomic force microscopy investigation of human immunodeficiency virus (HIV) and HIV-infected lymphocytes

Isolated human immunodeficiency virus (HIV) and HIV-infected human lymphocytes in culture have been imaged for the first time by atomic force microscopy (AFM). Purified virus particles spread on glass substrates are roughly spherical, reasonably uniform, though pleomorphic in appearance, and have diameters of about 120 nm. Similar particles are also seen on infected cell surfaces, but morphologies and sizes are considerably more varied, possibly a reflection of the budding process. The surfaces of HIV particles exhibit "tufts" of protein, presumably gp120, which do not physically resemble spikes. The protein tufts, which number about 100 per particle, have average diameters of about 200 A, but with a large variance. They likely consist of arbitrary associations of small numbers of gp120 monomers on the surface. In examining several hundred virus particles, we found no evidence that the gp120 monomers form threefold symmetric trimers. Although >95% of HIV-infected H9 lymphocytic cells were producing HIV antigens by immunofluorescent assay, most lymphocytes displayed few or no virus on their surfaces, while others were almost covered by a hundred or more viruses, suggesting a dependence on cell cycle or physiology. HIV-infected cells treated with a viral protease inhibitor and their progeny viruses were also imaged by AFM and were indistinguishable from untreated virions. Isolated HIV virions were disrupted by exposure to mild neutral detergents (Tween 20 and CHAPS) at concentrations from 0.25 to 2.0%. Among the products observed were intact virions, the remnants of completely degraded virions, and partially disrupted particles that lacked sectors of surface proteins as well as virions that were split or broken open to reveal their empty interiors. Capsids containing nucleic acid were not seen, suggesting that the capsids were even more fragile than the envelope and were totally degraded and lost. From these images, a good estimate of the thickness of the envelope protein-membrane-matrix protein outer shell of the virion was obtained. Treatment with even low concentrations (<0.1%) of sodium dodecyl sulfate completely destroyed all virions but produced many interesting products, including aggregates of viral proteins with strands of nucleic acid.

Structure of intracellular mature vaccinia virus visualized by in situ atomic force microscopy

Vaccinia virus, the basis of the smallpox vaccine, is one of the largest viruses to replicate in humans. We have used in situ atomic force microscopy (AFM) to directly visualize fully hydrated, intact intracellular mature vaccinia virus (IMV) virions and chemical and enzymatic treatment products thereof. The latter included virion cores, core-enveloping coats, and core substructures. The isolated coats appeared to be composed of a highly cross-linked protein array. AFM imaging of core substructures indicated association of the linear viral DNA genome with a segmented protein sheath forming an extended approximately 16-nm-diameter filament with helical surface topography; enclosure of this filament within a 30- to 40-nm-diameter tubule which also shows helical topography; and enclosure of the folded, condensed 30- to 40-nm-diameter tubule within the core by a wall covered with peg-like projections. Proteins observed attached to the 30- to 40-nm-diameter tubules may mediate folding and/or compaction of the tubules and/or represent vestiges of the core wall and/or pegs. An accessory "satellite domain" was observed protruding from the intact core. This corresponded in size to isolated 70- to 100-nm-diameter particles that were imaged independently and might represent detached accessory domains. AFM imaging of intact virions indicated that IMV underwent a reversible shrinkage upon dehydration (as much as 2.2- to 2.5-fold in the height dimension), accompanied by topological and topographical changes, including protrusion of the satellite domain. As shown here, the chemical and enzymatic dissection of large, asymmetrical virus particles in combination with in situ AFM provides an informative complement to other structure determination techniques.

Macromolecular crystal growth as revealed by atomic force microscopy

Direct visualization of macromolecular crystal growth using atomic force microscopy (AFM) has provided a powerful tool in the delineation of mechanisms and the kinetics of the growth process. It has further allowed us to evaluate the wide variety of impurities that are incorporated into crystals of proteins, nucleic acids, and viruses. We can, using AFM, image the defects and imperfections that afflict these crystals, the impurity layers that poison their surfaces, and the consequences of various factors on morphological development. All of these can be recorded under normal growth conditions, in native mother liquors, over time intervals ranging from minutes to days, and at the molecular level.

Rapid visualization at high resolution of pathogens by atomic force microscopy: structural studies of herpes simplex virus-1

A relatively crude preparation of herpes simplex virus was rapidly visualized by atomic force microscopy after exposure to conditions that produced gradual degradation of the virions. Images were obtained of 1) the intact, enveloped virus; 2) the underlying capsid with associated tegument proteins along with fragments of the membrane; 3) the capsomeres composing the capsid and their surface arrangement; 4) damaged and partially degraded capsids with missing capsomeres; and 5) the DNA extruded from damaged virions. These images provide a unique perspective on the structures of individual virus particles. Atomic force microscopy can thus be used as a diagnostic tool to provide a rapid way to obtain high-resolution images of human pathogens from crude preparations. It is a useful technique that complements X-ray-based structure determination, cryo-electron microscopy techniques, and optical microscopies in the field of molecular pathogenesis.

Atomic force microscopy of macromolecular interactions

The introduction of functional imaging tools and techniques that operate at molecular-length scales has provided investigators with unique approaches to characterizing biomolecular structure and function relationships. Recent advances in the field of scanning probe techniques and, in particular, atomic force microscopy have yielded tantalizing insights into the dynamics of protein self-assembly and the mechanics of protein unfolding.

Crystallization of Brome mosaic virus and T = 1 Brome mosaic virus particles following a structural transition

Brome mosaic virus (BMV), a T = 3 icosahedral plant virus, can be dissociated into coat protein subunits and subunit oligomers at pH 7.5 in the presence of concentrated salts. We have found that during the course of this treatment the coat protein subunits are cleaved, presumably by plant cell proteases still present in the preparation, between amino acids 35 and 36. The truncated protein subunits will then reorganize into T = 1 icosahedral particles and can be crystallized from sodium malonate. Quasi elastic light scattering and atomic force microscopy results suggest that the transition from T = 3 to T = 1 particles can occur by separate pathways, dissociation into coat protein subunits and oligomers and reassembly into T = 1 particles, or direct condensation of the T = 3 virions to T = 1 particles with the shedding of hexameric capsomeres. The latter process has been directly visualized using atomic force microscopy. Native T = 3 virions have been crystallized in several different crystal forms, but neither a rhombohedral form nor either of two orthorhombic forms diffract beyond about 3.4 A. Tetragonal crystals of the T = 1 particles, however, diffract to at least 2.5 A resolution. Evidence suggests that the T = 1 particles are more structurally uniform and ordered than are native T = 3 virions. A variety of anomalous virus particles having diverse sizes have been visualized in preparations of BMV used for crystallization. In some cases these aberrant particles are incorporated into growing crystals where they are frequently responsible for defect formation.

Atomic force microscopy in the study of macromolecular crystal growth

Atomic force microscopy (AFM) has been used to study protein, nucleic acid, and virus crystals in situ, in their mother liquors, as they grow. From sequential AFM images taken at brief intervals over many hours, or even days, the mechanisms and kinetics of the growth process can be defined. The appearance of both two- and three-dimensional nuclei on crystal surfaces have been visualized, defect structures of crystals were clearly evident, and defect densities of crystals were also determined. The incorporation of a wide range of impurities, ranging in size from molecules to microns or larger microcrystals, and even foreign particles were visually recorded. From these observations and measurements, a more complex understanding of the detailed character of macromolecular crystals is emerging, one that reveals levels of complexity previously unsuspected. The unique features of these crystals, apparently in AFM images, undoubtedly influence the diffraction properties of the crystals and the quality of the molecular images obtained by X-ray crystallography.

Atomic force microscopy studies of icosahedral virus crystal growth

Biological macromolecules and particularly viruses, provide excellent systems for the study of crystallization from solution because of their relatively large size. The kinetics of their crystallization is at least an order of magnitude less than for conventional systems, and their large size permits visualization, both of crystal lattices and individual particles, by techniques such as atomic force microscopy (AFM). This technique is especially powerful for biological macromolecules because it can be utilized in situ, in the crystallization mother liquor, over long periods of time without perturbing the growing crystals. We present here observations using AFM of the nucleation and growth of crystals of satellite tobacco mosaic virus, and some recordings as well of bromegrass mosaic virus. Correlations are made, where possible, with corresponding analyses using X-ray diffraction analysis.

Molecular-level thermodynamic and kinetic parameters for the self-assembly of apoferritin molecules into crystals

The self-assembly of apoferritin molecules into crystals is a suitable model for protein crystallization and aggregation; these processes underlie several biological and biomedical phenomena, as well as for protein and virus self-assembly. We use the atomic force microscope in situ, during the crystallization of apoferritin to visualize and quantify at the molecular level the processes responsible for crystal growth. To evaluate the governing thermodynamic parameters, we image the configuration of the incorporation sites, "kinks", on the surface of a growing crystal. We show that the kinks are due to thermal fluctuations of the molecules at the crystal-solution interface. This allows evaluation of the free energy of the intermolecular bond phi=3.0 k(B)T=7.3 kJ/mol. The crystallization free energy, extracted from the protein solubility, is -42 kJ/mol. Published determinations of the second virial coefficient and the protein solubility between 0 and 40 degrees C revealed that the enthalpy of crystallization is close to zero. Analyses based on these three values suggest that the main component in the crystallization driving force is the entropy gain of the water molecules bound to the protein molecules in solution and released upon crystallization. Furthermore, monitoring the incorporation of individual molecules in to the kinks, we determine the characteristic frequency of attachment of individual molecules at one set of conditions. This allows a correlation between the mesoscopic kinetic coefficient for growth and the molecular-level thermodynamic and kinetic parameters determined here. We found that step growth velocity, scaled by the molecular size, equals the product of the kink density and attachment frequency, i.e. the latter pair are the molecular-level parameters for self-assembly of the molecules into crystals.