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The major coat protein of the filamentous bacteriophage M13 is a surprising protein because it exists both as a membrane protein and as part of the M13 phage coat during its life cycle. Early studies showed that the phage-bound structure of the coat protein was a continuous I-shaped alpha-helix. However, throughout the years various structural models, both I-shaped and L-shaped, have been proposed for the membrane-bound state of the coat protein. Recently, site-directed labelling approaches have enabled the study of the coat protein under conditions that more closely mimic the in vivo membrane-bound state. Interestingly, the structure that has emerged from this work is I-shaped and similar to the structure in the phage-bound state.

Maize plasma membrane aquaporins (ZmPIPs, where PIP is the plasma membrane intrinsic protein) fall into two groups, ZmPIP1s and ZmPIP2s, which, when expressed alone in mesophyll protoplasts, are found in different subcellular locations. Whereas ZmPIP1s are retained in the endoplasmic reticulum (ER), ZmPIP2s are found in the plasma membrane (PM). We previously showed that, when co-expressed with ZmPIP2s, ZmPIP1s are relocalized to the PM, and that this relocalization results from the formation of hetero-oligomers between ZmPIP1s and ZmPIP2s. To determine the domains responsible for the ER retention and PM localization, respectively, of ZmPIP1s and ZmPIP2s, truncated and mutated ZmPIPs were generated, together with chimeric proteins created by swapping the N- or C-terminal regions of ZmPIP2s and ZmPIP1s. These mutated proteins were fused to the mYFP and/or mCFP, and the fusion proteins were expressed in maize mesophyll protoplasts, and were then localized by microscopy. This allowed us to identify a diacidic motif, DIE (Asp-Ile-Glu), at position 4-6 of the N-terminus of ZmPIP2;5, that is essential for ER export. This motif was conserved and functional in ZmPIP2;4, but was absent in ZmPIP2;1. In addition, we showed that the N-terminus of ZmPIP2;5 was not sufficient to cause the export of ZmPIP1;2 from the ER. A study of ZmPIP1;2 mutants suggested that the N- and C-termini of this protein are probably not involved in ER retention. Together, these results show that the trafficking of maize PM aquaporins is differentially regulated depending on the isoform, and involves a specific signal and mechanism.

M13 major coat protein, a 50-amino-acid-long protein, was incorporated into DOPC/DOPG (80/20 molar ratio) unilamellar vesicles. Over 60% of all amino acid residues was replaced with cysteine residues, and the single cysteine mutants were labeled with the fluorescent label I-AEDANS. The coat protein has a single tryptophan residue that is used as a donor in fluorescence (or Forster) resonance energy transfer (FRET) experiments, using AEDANS-labeled cysteines as acceptors. Based on FRET-derived constraints, a straight α-helix is proposed as the membrane-bound conformation of the coat protein. Different models were tested to represent the molecular conformations of the donor and acceptor moieties. The best model was used to make a quantitative comparison of the FRET data to the structures of M13 coat protein and related coat proteins in the Protein Data Bank. This shows that the membrane-bound conformation of the coat protein is similar to the structure of the coat protein in the bacteriophage that was obtained from x-ray diffraction. Coat protein embedded in stacked, oriented bilayers and in micelles turns out to be strongly affected by the environmental stress of these membrane-mimicking environments. Our findings emphasize the need to study membrane proteins in a suitable environment, such as in fully hydrated unilamellar vesicles. Although larger proteins than M13 major coat protein may be able to handle environmental stress in a different way, any membrane protein with water exposed parts in the C or N termini and hydrophilic loop regions should be treated with care.

The structural properties of bacteriophage M13 during disassembly were studied in different membrane model systems, composed of a homologue series of the detergents sodium octyl sulfate, sodium decyl sulfate, and sodium dodecyl sulfate. The structural changes during phage disruption were monitored by spin-labeled electron spin resonance (ESR) and circular dichroism spectroscopy. For the purpose of ESR spectroscopy the major coat protein mutants V31C and G38C were site-directed spin labeled in the intact phage particle. These mutants were selected because the mutated sites are located in the hydrophobic part of the protein, and provide good reporting locations for phage integrity. All amphiphiles studied were capable of phage disruption. However, no significant phage disruption was detected below the critical micelle concentration of the amphiphile used. Based on this finding and the linear dependence of phage disruption by amphiphiles on the phage concentration, it is suggested that the solubilization of the proteins of the phage coat by amphiphiles starts with an attachment to and penetration of amphiphile molecules into the phage particle. The amphiphile concentration in the phage increases in proportion to the amphiphile concentration in the aqueous phase. Incorporation of the amphiphile in the phage particle is accompanied with a change in local mobility of the spin-labeled part of the coat protein and its secondary structure. With increasing the amphiphile concentration in the phage particle, a concentration is reached where the concentration of the amphiphile in the aqueous phase is around its critical micelle concentration. A further increase in amphiphile concentration results in massive phage disruption. Phage disruption by amphiphiles appears to be dependent on the phage coat mutations. It is concluded that phage disruption is dependent on a hydrophobic effect, since phage solubilization could significantly be increased by keeping the hydrophilic part of the amphiphile constant, while increasing its hydrophobic part.

The family of three-dimensional molecular structures of the major coat protein from the M13 bacteriophage, which was determined in detergent micelles by NMR methods, has been analyzed by constrained geometry optimization in a phospholipid environment. A single-layer solvation shell of dioleoyl phosphatidylcholine lipids was built around the protein, after replacing single residues by cysteines with a covalently attached maleimide spin label. Both the residues substituted and the phospholipid were chosen for comparison with site-directed spin labeling EPR measurements of distance and local mobility made previously on membranous assemblies of the M13 coat protein purified from viable mutants. The main criteria for identifying promising candidate structures, out of the 300 single-residue mutant models generated for the membranous state, were 1) lack of steric conflicts with the phospholipid bilayer, 2) good match of the positions of spin-labeled residues along the membrane normal with EPR measurements, and 3) a good match between the sequence profiles of local rotational freedom and a structural restriction parameter for the spin-labeled residues obtained from the model. A single subclass of structure has been identified that best satisfies these criteria simultaneously. The model presented here is useful for the interpretation of future experimental data on membranous M13 coat protein systems. It is also a good starting point for full-scale molecular dynamics simulations and for the design of further site-specific spectroscopic experiments.

Gene 9 minor coat protein from bacteriophage M13 is known to be located in the inner membrane after phage infection of Escherichia coli. The way of insertion of this small protein (32 amino acids) into membranes is still unknown. Here we show that the protein is able to insert in monolayers. The limiting surface pressure of 35 mN/m for 1,2-dioleoyl-sn-glycero-3-phosphocholine and 1,2-dioleoyl-sn-glycero-3-phosphoglycerol lipid systems indicates that this spontaneous insertion can also occur in vivo. By carboxyfluorescein leakage experiments of vesicles it is demonstrated that protein monomers, or at least small aggregates, are more effective in releasing carboxyfluorescein than highly aggregated protein. The final orientation of the protein in the bilayer after insertion was addressed by proteinase K digestion, thereby making use of the unique C-terminal location of the antigenic binding site. After insertion the C-terminus is still available for the enzymatic digestion, while the N-terminus is not. This leads to the overall conclusion that the protein is able to insert spontaneously into membranes without the need of any machinery or transmembrane gradient, with the positively charged C-terminus remaining on the outside. The orientation after insertion of gene 9 protein is in agreement with the ‘positive inside rule’.

The structure and changes in environment of the M13 major coat protein were studied in model systems, mimicking the initial molecular process of the phage disassembly. For this purpose we have systematically studied protein associations with various detergents and lipids in two different coat protein assemblies: phage particles and S-forms. It is remarkable that the major coat protein can change its conformation to accommodate three distinctly different environments: phage filament, S-form, and membrane-bound form. The structural and environmental changes during this protein transformations were studied by site-directed spin labeling, fluorescence labeling, and CD spectroscopy in different membrane model systems. The phage particles were disrupted only by strong ionic detergents [sodium dodecyl sulfate (SDS) and cetyltrimethylammonium bromide and (CTAB)] but were not affected by sodium cholate and sodium deoxycholate, nonionic detergents, and dilauroyl-l-alpha-phosphatidylcholine (DLPC) lipid bilayers. Conversion of the phage particles into S-forms by addition of chloroform rendered the coat protein accessible for the association with different ionic and nonionic detergents, as well as DLPC lipids. The disruption of the S-form by all detergents studied was instantaneous but was slower with DLPC vesicles. Only small unilamellar vesicles effectively solubilized the S-form. The data suggest that the viral protein coat is inherently unstable when the major coat protein is exposed to amphiphilic molecules. During conversion from the phage to the S-form, and subsequently to the membrane-bound form, the coat protein undergoes pronounced changes in environment, and in response the alpha-helix content decreases and the local protein structure changes dramatically. This adaptation of the protein conformation enables a stable association of the protein with the membrane.

The local environment of the transmembrane and C-terminal domain of M13 major coat protein was probed by site-directed ESR spin labeling when the protein was introduced into three membrane-mimicking systems, DOPC vesicles, sodium cholate micelles, and SDS micelles. For this purpose, we have inserted unique cysteine residues at specific positions in the transmembrane and C-terminal region, using site-directed mutagenesis. Seven viable mutants with reasonable yield were harvested: A25C, V31C, T36C, G38C, T46C, A49C, and S50C. The mutant coat proteins were indistinguishable from wild type M13 coat protein with respect to their conformational and aggregational properties. The ESR data suggest that the amino acid positions 25 and 46 of the coat protein in DOPC vesicles are located close to the membrane-water interface. In this way the lysines at positions 40, 43, and 44 and the phenylalanines at positions 42 and 45 act as hydrophilic and hydrophobic anchors, respectively. The ESR spectra of site specific maleimido spin-labeled mutant coat proteins reconstituted into DOPC vesicles and solubilized in sodium cholate or SDS indicate that the local dynamics of the major coat protein is significantly affected by its structural environment (micellar vs bilayer), location (aqueous vs hydrophobic), and lipid/protein ratio. The detergents SDS and sodium cholate sufficiently well solubilize the major coat protein and largely retain its secondary structure elements. However, the results indicate that they have a poorly defined protein-amphiphilic structure and lipid-water interface as compared to bilayers and thus are not a good substitute for lipid bilayers in biophysical studies.

As proteins are key molecules in living cells, knowledge about their structure can provide important insights and applications in science, biotechnology, and medicine. However, many protein structures are still a big challenge for existing high-resolution structure-determination methods, as can be seen in the number of protein structures published in the Protein Data Bank. This is especially the case for less-ordered, more hydrophobic and more flexible protein systems. The lack of efficient methods for structure determination calls for urgent development of a new class of biophysical techniques. This work attempts to address this problem with a novel combination of site-directed spin labelling electron spin resonance spectroscopy (SDSL-ESR) and protein structure modelling, which is coupled by restriction of the conformational spaces of the amino acid side chains. Comparison of the application to four different protein systems enables us to generalize the new method and to establish a general procedure for determination of protein structure.

During recent decades, bacteriophages have been at the cutting edge of new developments in molecular biology, biophysics, and, more recently, bionanotechnology. In particular filamentous viruses, for example bacteriophage M13, have a virion architecture that enables precision building of ordered and defect-free two and three-dimensional structures on a nanometre scale. This could not have been possible without detailed knowledge of coat protein structure and dynamics during the virus reproduction cycle. The results of the spectroscopic studies conducted in our group compellingly demonstrate a critical role of membrane embedment of the protein both during infectious entry of the virus into the host cell and during assembly of the new virion in the host membrane. The protein is effectively embedded in the membrane by a strong C-terminal interfacial anchor, which together with a simple tilt mechanism and a subtle structural adjustment of the extreme end of its N terminus provides favourable thermodynamical association of the protein in the lipid bilayer. This basic physicochemical rule cannot be violated and any new bionanotechnology that will emerge from bacteriophage M13 should take this into account.

Bacteriophage M13 major coat protein was reconstituted in different nonmatching binary lipid mixtures composed of 14:1PC and 22:1PC lipid bilayers. Challenged by this lose-lose situation of hydrophobic mismatch, the protein-lipid interactions are monitored by CD and site-directed spin-label electron spin resonance spectroscopy of spin-labeled site-specific single cysteine mutants located in the C-terminal protein domain embedded in the hydrophobic core of the membrane (I39C) and at the lipid-water interface (T46C). The CD spectra indicate an overall α-helical conformation irrespective of the composition of the binary lipid mixture. Spin-labeled protein mutant I39C senses the phase transition in 22:1PC, in contrast to spin-labeled protein mutant T46C, which is not affected by the transition. The results of both CD and electron spin resonance spectroscopy clearly indicate that the protein preferentially partitions into the shorter 14:1PC both above and below the gel-to-liquid crystalline phase transition temperature of 22:1PC. This preference is related to the protein tilt angle and energy penalty the protein has to pay in the thicker 22:1PC. Given the fact that in Escherichia coli, which is the host for M13 bacteriophage, it is easier to find shorter 14 carbon acyl chains than longer 22 carbon acyl chains, the choice the M13 coat protein makes seems to be evolutionary justified.

The major coat protein of bacteriophage M13 has been reconstituted into phospholipids with a composition comparable to that found in the host (Escherichia coli) inner membrane. Reconstitution experiments have revealed conditions in which the alpha-oligomeric state is favored over the beta-polymeric state. Discrimination between the two states of the membrane-bound coat protein (alpha-oligomeric and beta-polymeric states) has been achieved using high-performance size-exclusion chromatography and circular dichroism. Interprotein electrostatic interactions, probably induced by head-tail binding, are initiated and facilitating the aggregation-related conformational change process, in which alpha-oligomeric coat protein is converted into beta-polymeric coat protein. A model for this beta-polymerization process of the coat protein is presented. The alpha-helical protein has been studied by the in situ Trp fluorescence quantum yield. This shows that the average distances between coat proteins decrease upon lowering the L/P ratio. In situ cross-linking reactions of the coat protein at high L/P ratios reveal a monomeric state, thus excluding specific aggregation of the coat protein. A monomeric state of detergent-solubilized coat protein is also observed using SDS-PAGE and SDS-HPSEC. On the basis of these results, the smallest in situ aggregational entity of the coat protein is proposed to be a monomer. This finding is discussed in relation to the functional state of the M13 coat protein in the membrane-bound assembly and disassembly processes during infection.

Two-dimensional proton nuclear magnetic resonance (n.m.r.) experiments were performed on the coat protein of cowpea chlorotic mottle virus (molecular mass: 20.2 kDa) present as dimer (pH 7·5) or as capsid consisting of 180 protein monomers (pH 5·0). The spectra of both dimers and capsids showed resonances originating from the flexible N-terminal region of the protein. The complete resonance assignment of a synthetic pentacosapeptide representing this N terminus made it possible to interpret the spectra in detail. The capsid spectrum showed backbone amide proton resonances arising from the first eight residues having a flexible random coil conformation, and side-chain resonances arising from the first 25 N-terminal amino acids. The dimer spectrum showed also side-chain resonances of residues 26 to 33, which are flexible in the dimer but immobilized in the capsid. The n.m.r. experiments indicated that the conformation of the first 25 amino acids of the protein in dimers and capsids is comparable to the conformation of the synthetic peptide, which alternates among extended and helical conformations on the n.m.r. time-scale. It is suggested that the α-helical region, situated in the region between residues 10 and 20, binds to the RNA during assembly of the virus particle.

The V-ATPases are ATP-dependent proton pumps, found in virtually all cells, responsible for acidification of organelles and energizing of plasma membranes. Its role in diseases, such as osteoporosis and metastatic cancer, makes the V-ATPase a potential drug target. Short synthetic peptides that are presented here mimic the 7th transmembrane domain (TM7) of subunit a (Vph1p) of Saccharomyces cerevisiae V-ATPase, an essential part of the membrane-bound V(O) domain, where proton translocation takes place. The peptides adopt a transmembrane configuration only in membranes containing anionic lipids, stressing the importance of strong interfacial anchoring by the flanking lysines. Peptide P1, which contains the essential arginine R735, is monomeric, whereas peptide P2, which lacks this extra charge, tends to aggregate in the membrane. SB 242784, which is a highly potent inhibitor of V-ATPase, does not show any interaction with the peptides, indicating that TM7 alone is not sufficient for inhibitor binding

Fluorescent probes located in heterogeneous environments give rise to anomalous time-resolved fluorescence anisotropy. A simple analytical expression of anisotropy has been derived for the case of a small difference in local fluorescence lifetimes. The expression has the diagnostic advantage that the time dependence of the fluorescence anisotropy can be predicted from the differences in fluorescence lifetimes and residual anisotropies of the probes located in different sites. Using this model, the local fluorescence anisotropy parameters and the relative contributions of the lipid probe octadecyl rhodamine B in a lipid environment and in the vicinity of bacteriophage M13 coat protein reconstituted in phospholipid bilayers, composed of 80% 1,2-dimyristoyl-sn-glycero-3-phosphocholine and 20% 1,2-dimyristoyl-sn-glycero-3-phosphoglycerol have been determined experimentally. At 40 degrees C, the correlation times for bound and free probes are 2.3 and 3.0 ns, respectively, while the corresponding order parameters are 0.85 and 0.62, respectively.

The major coat protein of M13 bacteriophage has been incorporated into bilayers of 1,2-dimyristoyl-sn-glycero-3-phosphocholine, deuterated in the trimethyl segments of the choline headgroup (DMPC-d9). Two-component deuterium and phosphorus-31 NMR spectra have been observed from bilayer complexes containing the coat protein, indicating slow exchange (on the deuterium quadrupole anisotropy and phosphorus-31 chemical shift averaging time scales) of lipid molecules of less than 10(3) Hz between two motionally distinct environments in the complexes. The fraction of the isotropic spectral component increases with increasing M13 protein concentration, and this component is attributed to lipid headgroups, which are disordered relative to their order in protein-free bilayers. The activation energy of the fast local motions of the trimethyl groups of the choline residue in the headgroup decreases from 23 kJ mol-1 in the pure lipid bilayers to 20 kJ mol-1 for the protein-associated lipid headgroups. The chemical exchange rate of lipid molecules between the two motionally distinct environments has been estimated to be 20-50 Hz by steady-state line-shape simulations of the deuterium spectra of DMPC-d9/M13 coat protein complexes using exchange-coupled modified Bloch equations. The off-rate was, as expected from one-to-one exchange, independent of the L/P ratio; tau off -1 = 0.23 kHz. It is suggestedmore » that the protein-associated lipid may be trapped between closely packed parallel aggregates of M13 coat protein and that the high local concentration of protein in a one-dimensional arrangement in lipid bilayers may be required for the fast reassembly of phage particles before release from an infected cell.« less

One of the most important challenges in the field of structural biology and structural proteomics is the study of membrane proteins. These proteins reside in cell and organelle membranes and govern many important cellular functions, including cell signaling, membrane potential stabilization, energy transduction, pH and cell volume regulation, all of which play critical roles in cancer, heart disease, osteoporosis, cystic diseases, and neurological disorders. These proteins represent more than 50% of all present and future drug targets.

Zea mays plasma membrane intrinsic proteins (ZmPIPs) fall into two groups, ZmPIP1s and ZmPIP2s, that exhibit different water channel activities when expressed in Xenopus oocytes. ZmPIP1s are inactive, whereas ZmPIP2s induce a marked increase in the membrane osmotic water permeability coefficient, P f . We previously showed that, in Xenopus oocytes, ZmPIP1;2 and ZmPIP2;1 interact to increase the cell P f . Here, we report the localization and interaction of ZmPIP1s and ZmPIP2s in living maize cells. ZmPIPs were fused to monomeric yellow fluorescent protein and/or monomeric cyan fluorescent protein and expressed transiently in maize mesophyll protoplasts. When expressed alone, ZmPIP1 fusion proteins were retained in the endoplasmic reticulum, whereas ZmPIP2s were found in the plasma membrane. Interestingly, when coexpressed with ZmPIP2s, ZmPIP1s were relocalized to the plasma membrane. Using FRET/fluorescence lifetime imaging microscopy, we demonstrated that this relocalization results from interaction between ZmPIP1s and ZmPIP2s. Immunoprecipitation experiments provided additional evidence for the association of ZmPIP1;2 and ZmPIP2;1 in maize roots and suspension cells. These data suggest that PIP1–PIP2 interaction is required for in planta PIP1 trafficking to the plasma membrane to modulate plasma membrane permeability.

The structural properties of a crucial transmembrane helix for proton translocation in vacuolar ATPase are studied using double site-directed spin-labeling combined with electron spin resonance (ESR) (or electron paramagnetic resonance) and circular dichroism spectroscopy in sodium dodecyl sulfate micelles. For this purpose, we use a synthetic peptide derived from transmembrane helix 7 of subunit a from the yeast Saccharomyces cerevisiae vacuolar proton-translocating ATPase that contains two natural cysteine residues suitable for spin-labeling. The interspin distance is calculated using a second-moment analysis of the methanethiosulfonate spin-label ESR spectra at 150K. Molecular dynamics simulation is used to study the effect of the side-chain dynamics and backbone dynamics on the interspin distance. Based on the combined results from ESR, circular dichroism, and molecular dynamics simulation we conclude that the peptide forms a dynamic α-helix. We discuss this finding in the light of current models for proton translocation. A novel role for a buried charged residue (H729) is proposed.

Complexity of biological systems is one of the toughest problems for any experimental technique. Complex biochemical composition and a variety of biophysical interactions governing the evolution of a state of a biological system imply that the experimental response of the system would be superimposed of many different responses. To obtain a reliable characterization of such a system based on spin-label Electron Paramagnetic Resonance (EPR) spectroscopy, multiple Hybrid Evolutionary Optimization (HEO) combined with spectral simulation can be applied. Implemented as the GHOST algorithm this approach is capable of handling the huge solution space and provides an insight into the "quasicontinuous© distribution of parameters that describe the biophysical properties of an experimental system. However, the analysis procedure requires several hundreds of runs of the evolutionary optimization routine making this algorithm extremely computationally demanding. As only the best parameter sets from each run are assumed to contribute into the final solution, this algorithm appears far from being optimized. The goal of this study is to modify the optimization routine in a way that 20-40 runs would be enough to obtain qualitatively the same characterization. However, to keep the solution diversity throughout the HEO run, fitness sharing and newly developed shaking mechanisms are applied and tested on various test EPR spectra. In addition, other evolutionary optimization parameters such as population size and probability of genetic operators were also varied to tune the algorithm. According to the testing examples a speed-up factor of 5-7 was achieved.

Gene 9 protein is one of the minor coat proteins of bacteriophage M13. The protein plays a role in the assembly process by associating with the host membrane by protein-lipid interactions. The availability of chemically synthesized protein has enabled the biophysical characterization of the membrane-bound state of the protein by using model membrane systems. This paper summarizes, discusses and further interprets this work in the light of the current state of the literature, leading to new possible models of the coat protein in a membrane. The biological implications of these findings related to the membrane-bound phage assembly are indicated.

During the past years, remarkable progress has been made in our understanding of the replication cycle of bacteriophage M13 and the molecular details that enable phage proteins to navigate in the complex environment of the host cell. With new developments in molecular membrane biology in combination with spectroscopic techniques, we are now in a position to ask how phages carry out this delicate process on a molecular level, and what sort of protein-lipid and protein-protein interactions are involved. In this review we will focus on the molecular details of the protein-protein and protein-lipid interactions of the major coat protein (gp8) that may play a role during the infection of Escherichia coli by bacteriophage M13. (C) 2003 Elsevier Science B.V. All rights reserved.

International audience; We examined whether oligosaccharides extend seed longevity by increasing the intracellular glass stability. For that purpose, we used a spin probe technique to measure the molecular mobility and glass transition temperature of the cytoplasm of impatiens (Impatiens walleriana) and bell pepper (Capsicum annuum) seeds that were osmo-primed to change oligosaccharide content and longevity. Using saturation transfer electron paramagnetic resonance spectroscopy, we found that the rotational correlation time of the polar spin probe 3-carboxy-proxyl in the cytoplasm decreased, together with longevity, as a function of increasing seed water content, suggesting that longevity may indeed be regulated by cytoplasmic mobility. Osmo-priming of the seeds resulted in considerable decreases in longevity and oligosaccharide content, while the sucrose content increased. No difference in the glass transition temperature was found between control and primed impatiens seeds at the same temperature and water content. Similarly, there was no difference in the rotational motion of the spin probe in the cytoplasm between control and primed impatiens and bell pepper seeds. We therefore conclude that oligosaccharides in seeds do not affect the stability of the intracellular glassy state, and that the reduced longevity after priming is not the result of increased molecular mobility in the cytoplasm.

International audience; Molecular mobility is increasingly considered a key factor influencing storage stability of biomolecular substances, because it is thought to control the rate of detrimental reactions responsible for reducing the shelf life of, for instance, pharmaceuticals, food, and germplasm. We investigated the relationship between aging rates of germplasm and the rotational motion of a polar spin probe in the cytoplasm under different storage conditions using saturation transfer electron paramagnetic resonance spectroscopy. Rotational motion of the spin probe in the cytoplasm of seed and pollen of various plant species changed as a function of moisture content and temperature in a manner similar to aging rates or longevity. A linear relationship was established between the logarithms of rotational motion and aging rates or longevity. This linearity suggests that detrimental aging rates are associated with molecular mobility in the cytoplasm. By measuring the rotational correlation times at low temperatures at which experimental determination of longevity is practically impossible, this linearity enabled us to predict vigor loss or longevity. At subzero temperatures, moisture contents for maximum life span were predicted to be higher than those hitherto used in genebanks, urging for a reexamination of seed storage protocols.

The Pf3 major coat protein of the Pf3 bacteriophage is stored in the inner membrane of the infected cell during the reproductive cycle. The protein consists of 44 amino acids, and contains an acidic amphipathic N-terminal domain, a hydrophobic domain, and a short basic C-terminal domain. The mainly alpha-helical membrane-bound protein traverses the membrane once, leaving the C-terminus in the cytoplasm and the N-terminus in the periplasm. A cysteine-scanning approach was followed to measure which part of the membrane-bound Pf3 protein is inside or outside the membrane. In this approach, the fluorescence probe N-[(iodoacetyl)amino]ethyl-1-sulfonaphthylamine (IAEDANS) was attached to single-cysteine mutants of the Pf3 coat protein. The labeled mutant coat proteins were reconstituted into the phospholipid DOPC/DOPG (80/20 molar ratio) and DOPE/DOPG (80/20 molar ratio) model membranes. We subsequently studied the fluorescence characteristics at the different positions in the protein. We measured the local polarity of the environment of the probe, as well as the accessibility of the probe to the fluorescence quencher acrylamide. The results of this study show a single membrane-spanning protein with both the C- and N-termini remaining close to the surface of the membrane. A nearly identical result was seen previously for the membrane-bound M13 coat protein. On the basis of a comparison between the results from both studies, we suggest an "L-shaped" membrane-bound model for the Pf3 coat protein. DOPE-containing model membranes revealed a higher polarity, and quenching efficiency at the membrane/water interface. Furthermore, from the outside to the inside of the membrane, a steeper polarity gradient was measured at the PE/PG interface as compared to the PC/PG interface. These results suggest a thinner interface for DOPE/DOPG than for DOPC/DOPG membranes.

The membrane-bound state of the gene 9 minor coat protein of bacteriophage M13 was studied in various membrane-mimicking systems, including organic solvents, detergent micelles, and phospholipid bilayers. For this purpose we determined the conformational and aggregational properties of the chemically synthesized protein by CD, FTIR, and HPSEC. The protein appears to be in a monomeric or small oligomeric alpha-helical state in TFE but adopts a mixture of alpha-helical and random structure after subsequent incorporation into SDS or DOPG. When solubilized by sodium cholate, however, the protein undergoes a transition in time into large aggregates, which contain mainly beta-sheet conformation. The rate of this beta-polymerization process was decreased at lower temperature and higher concentrations of sodium cholate. This aggregation was reversed only upon addition of high concentrations of the strong detergent SDS. By reconstitution of the cholate-solubilized protein into DOPG, it was found that the state of the protein, whether initially alpha-helical monomeric/oligomeric or beta-sheet aggregate, did not change. On the basis of our results, we propose that the principal conformational state of membrane-bound gene 9 protein in vivo is alpha-helical.

A most interesting question in biology is how viruses and bacteriophages assemble and disassemble thereby utilizing the properties of the plasma membrane of biological cells. To pass a plasma membrane, a virus makes use of receptor molecules within the membrane, and after binding, triggers a sequence of processes that enables it to disassemble and start the production of new copies of the virus. Bacteriophage M13, one of the most studied bacteriophages, and the closely related phages f 1 and fd are Escherichia coli specific filamentous phages belonging to the genus Inovirus. The virion consists of a circular single-stranded DNA molecule of 6408 nucleotides (coding for 10 identified proteins) encapsulated in a long cylindrical protein coat. The protein coat is composed of about 2700–3000 copies of the major coat protein, the product of gene VIII. Apart from this abundant coat protein, the virions contain at one end 3-5 copies of the adsorption protein (the product of gene III) together with some copies of the bacteriophage particle stabilizing gene VI protein. The opposite end of the virion is composed of about 5 copies each of the protein products of gene VII and gene IX. Detailed descriptions of the viral particle can be found in the reviews of Rasched and Oberer (1986) and Model and Russel (1988).

The in situ aggregational behavior of the bacteriophage M13 major coat protein was determined for the protein isolated in sodium cholate and reconstituted into DOPC lipid bilayers. For this purpose, the cysteine mutants A49C and T36C of the major coat protein were labeled with either a maleimido spin-label or a fluorescence label (IAEDANS). The steric restrictions sensed by the spin-label were used to evaluate the local protein conformation and the extent of protein-protein interactions at the position of the labeled residue. In addition, fluorescent labels covalently attached to the protein were used to determine the polarity of the local environment. The labeled coat protein mutants were examined under different conditions of protein association (amphiphile environment, ionic strength, temperature, and pH). The aggregational state of the major coat protein solubilized from the phage particle in sodium cholate was not dependent on the ionic strength, but was strongly dependent on cholate concentration and pH during sample preparation. At pH 7.0 and high sodium cholate concentration, the protein was in a dimeric form. The unusually strong association properties of the protein dimer in sodium cholate at pH 7.0 were attributed to the inability of sodium cholate to disrupt the strong hydrophobic forces between neighboring protein subunits in the phage particle. Such a "structural protein dimer" was, however, completely and irreversibly disrupted at pH 10.0. Qualitatively the same aggregational tendency was found upon changing the pH for the coat protein reconstituted in DOPC lipid bilayers. This reveals that the dimer disruption process is primarily a protein property, because there are no titratable groups on DOPC in the experimental pH range. The results are interpreted in terms of a model relating the protein aggregational state in the assembled phage to the protein aggregational behavior in sodium cholate and lipid bilayers.

The major coat protein of the filamentous bacteriophage M13 is located in the inner membrane of host cell Escherichia coli prior to assembly into virions. To identify the transmembrane domain of the coat protein, we have introduced unique cysteine residues along the putative transmembrane domain at position 25, 31, 33, 36, 38, 46, 47, 49, or 50. The mutant major coat protein was solubilized by membrane-mimicking detergents or reconstituted into mixed bilayers of phospholipids. Information about the environmental polarity was deduced from the wavelength of maximum emission, using N-[[(iodoacetyl)-amino)ethyl]-1-sulfonaphthylamine (IAEDANS) attached to the SH groups of the cysteines as a fluorescent probe. Additional information was obtained by determining the accessibility of AEDANS for the fluorescence quencher molecules acrylamide and 5-doxylstearic acid, and the reactivity of the cysteine's sulfhydryl group toward 5,5'-dithiobis(2-nitrobenzoic acid) (DTNB). Our data suggest transmembrane boundaries close to residue 25 and 46, with residue 25 inside the hydrophobic part of the membrane in very close proximity to the membrane-water interface and residue 46 located at the membrane-water interface. Domains of the mutant coat protein which are packed or coated by cholate molecules and various other detergents [except for sodium dodecyl sulfate (SDS)] are at least similarly packed by phospholipid molecules in bilayers. SDS is a good solubilizing detergent but badly mimics the typical nature of a membrane structure. The overall results are interpreted with respect to the established conformation of the coat protein and its membrane anchoring mechanism.

Prolamin proteins are responsible for the network that gives wheat dough its viscoelastic properties. Non-prolamin depleted gluten was prepared under conditions that preserve its functionality. Electron Spin Resonance (ESR) was used to provide information about the dynamics of the protein at temperatures between 5 and 90°C by specific spin labelling of its cysteine residues. The spectra were of a composite type, resulting from at least two populations of spin labels largely differing in molecular mobility. The correlation time of the less mobile nitroxide radicals was determined by saturation transfer ESR. Upon heating there was a transfer from the slow to the fast moving population of radicals, and an increase of mobility of this last catagory that followed the Arrhenius law. The effect of temperature on molecular flexibility was reversible. This was not the case for purified, polymerised glutenin subunits extracted from gluten. Urea created similar modifications on gluten as heat.

Conformational changes of the oligonucleotides r(A)12, d(GC)5, and d(AT)5 upon binding to a pentacosapeptide representing the RNA-binding N-terminus of the coat protein of cowpea chlorotic mottle virus (CCMV) were studied by using absorption and circular dichroism spectroscopy. The peptide destabilizes the single-stranded structure of r(A)12 at pH 7.2, but disrupts the double-stranded structure of r(A)12 at pH 5.0. However, at pH 4.0, the peptide is not able to disrupt this double-stranded structure. The double-stranded structures of d(GC)5 and d(AT)5 with Watson-Crick base-pairing are stabilized upon binding to the peptide.

Publisher Summary This chapter describes the α-helical form of M13 major coat protein and its properties in relation to the in vivo biological processes. M13 bacteriophage and the closely related phages, fl and fd, are Escherichia coli -specific filamentous phages belonging to the genus, Inovirus. The chapter discusses the molecular properties of the membrane-bound bacteriophage disassembly and assembly processes by studying the structural and functional behavior of the major coat protein of bacteriophage M13 and related phages, when incorporated into model membrane systems. Various spectroscopic techniques have been applied that provide detailed information about these reconstituted systems, whereas biochemical separation techniques allow purifying and characterizing these systems. The chapter discusses the role of M13 coat protein in the infection process, leading to conditions to reconstitute the protein in its native state into model membrane systems. In addition, the structure of the coat protein and protein–lipid interactions is discussed in the chapter.

Conformational studies were performed on a synthetic pentacosapeptide representing the RNA-binding N-terminal region of the coat protein of cowpea chlorotic mottle virus. Two-dimensional proton NMR experiments were performed on the highly positively charged peptide containing six arginines and three lysines in the presence of an excess of monophosphates, tetra(poly)phosphates, or octadeca(poly)phosphates mimicking the phosphates of the RNA. The results show that the peptide alternates between various extended and helical structures in the presence of monophosphate and that this equilibrium shifts toward the helical structures (with the helical region situated between residues 10 and 20) in the presence of oligophosphates. Distance geometry calculations using distance constraints derived from a NOESY spectrum of the peptide in the presence of tetra(poly)phosphate resulted in eight structures belonging to two structure families. The first family consists of five structures with an alpha-helixlike conformation in the middle of the peptide, and the second family consists of three structures with a more open conformation. The propensity to form an alpha-helical conformation in the N-terminal part of this viral coat protein upon binding of phosphate groups to the positively charged side chains is suggested to play an essential role in RNA binding.

The interaction of the M13 bacteriophage major coat protein in the alpha-oligomeric form with specifically deuterated phospholipid headgroups which mimic the Escherichia coli inner membrane, has been studied using NMR methods. As can be seen from the deuterium NMR spectra obtained with headgroup trimethyl deuterated DOPC, the coat protein in the alpha-oligomeric form does not give rise to trapped lipids as observed with M13 coat protein in the beta-polymeric form (Van Gorkom et al. (1990) Biochemistry 29, 3828-3834). The quadrupolar splittings of the alpha headgroup methylene deuterons of deuterated phosphatidylcholine and phosphatidylethanolamine decrease, whereas the quadrupolar splittings of the beta headgroup methylene deuterons of the two lipids increase with increasing protein content. All deuterated segments in the phosphatidylglycerol headgroup show the same relative decrease of the NMR quadrupolar splittings. These results are interpreted in terms of a change in torsion angles of the methylene groups, induced by positive charges, probably lysine residues of the protein at the membrane surface. For all lipid bilayer compositions studied the head-group perturbations are similar. It is concluded that there is no strong specific interaction between one of the lipid types examined and the M13 coat protein. From the spin-spin (T2e) relaxation time and spin-lattice (T1z) relaxation time of all deuterated lipids it is concluded that at the bilayer surface only slow motions are affected by the M13 coat protein.

The first 25 amino acids of the coat protein of cowpea chlorotic mottle virus are essential for binding the encapsidated RNA. Although an alpha-helical conformation has been predicted for this highly positively charged N-terminal region [Argos, P. (1981) Virology 110, 55-62; Vriend, G., Verduin, B. J. M., & Hemminga, M. A. (1986) J. Mol. Biol. 191, 453-460], no experimental evidence for this conformation has been presented so far. In this study, two-dimensional proton NMR experiments were performed on a chemically synthesized pentacosapeptide containing the first 25 amino acids of this coat protein [Ten Kortenaar, P. B. W., Kruse, J., Hemminga, M. A., & Tesser, G. I. (1986) Int. J. Pept. Protein Res. 27, 401-413]. All resonances could be assigned by a combined use of two-dimensional correlated spectroscopy and nuclear Overhauser enhancement spectroscopy carried out at four different temperatures. Various NMR parameters indicate the presence of a conformational ensemble consisting of helical structures rapidly converting into more extended states. Differences in chemical shifts and nuclear Overhauser effects indicate that lowering the temperature induces a shift of the dynamic equilibrium toward more helical structures. At 10 degrees C, a perceptible fraction of the conformational ensemble consists of structures with an alpha-helical conformation between residues 9 and 17, likely starting with a turnlike structure around Thr9 and Arg10. Both the conformation and the position of this helical region agree well with the secondary structure predictions mentioned above.

The interaction of the non-enveloped plant viruses TMV (rod-shaped) and CCMV (spherical) and of their coat proteins in several well-defined aggregation states, with artificial membranes was investigated to study the early stages of the cellular infection process. Information about the separate steps in the interaction mechanisms was obtained by employing three assays, performed as a function of vesicle size, net membrane charge, pH and ionic strength. The assays allow to discriminate between aggregation of vesicles (turbidity assay) and membrane destabilization (vesicle leakage assay and lipid mixing assay). The aggregation of the vesicles is a result of electrostatic interactions between the viral material and vesicles surface (cross-linking), while the destabilization of the membrane is a result of penetratin or bilayer disruption by hydrophobic protein domains. TMV virions and its coat protein, and CCMV virions, due to their net negative charge, predominantly interact with positively charged membranes. The coat protein of CCMV was found to interact with negatively charged membranes, an interaction that can be assigned to its basical N-terminal sequence. Changing the aggregational state of the viral coat proteins yielded most significant interactions in case of TMV coat protein aggregated in the disk form and CCMV coat protein aggregated in empty capsids with oppositely charged membranes. These protein aggregates are found to be the best compromise between efficiency (capacity of the protein to bridge vesicles and destabilize their membranes) and concentration of protein aggregates. The results are discussed with respect to previously proposed biological models of the early stages of plant virus infection.

The freeze-dried wheat protein fractions, glutenin and gliadin, mixtures of high molecular weight (HMW) subunits of glutenin from flour, and gliadin-enriched and glutenin-enriched fractions from a gluten ball, were investigated by cross-polarization magic-angle-spinning 13 C nuclear magnetic resonance spectroscopy. No characteristic differences in the molecular structure of these systems could be recognised in the spectra obtained. Sharp resonances in the aliphatic and aromatic spectral regions in the glutenin-enriched fraction, which have been described by other workers, were not observed: these may be artefacts arising from impurities present in the materials used. Isolated HMW subunits 2, 3, 10 and 11 were studied in solution using electron spin resonance after alkylation of cysteine residues with a maleimide spin label. Spectra obtained in 3 m urea were identical for all HMW subunits, with similar rotational correlation times (τ c ) of 0·22 ± 0·02 ns. Spectra obtained in a less denaturing solvent (10 mM acetic acid) indicated that τ c increased for all HMW subunits ranging from 0·38 to 0·52 ns and that τ c for HMW subunit 10 was significantly lower than τ c for subunit 11. It is suggested that a high spin label mobility in 10 m m acetic acid is related to a better crosslinking function of subunit 10 in forming the extended, disulphide-bonded network of glutenin.

The state of the coat protein of bacteriophage M13, reconstituted into amphiphilic media, has been investigated. The in situ conformation of the coat protein has been determined by using circular dichroism. Minimum numbers for the protein aggregation in the system have been determined after disruption of the lipid-protein system and subsequent uptake of the protein in cholate micelles. The aggregational state and conformation of the protein were affected by (1) the method of coat protein isolation (phenol extraction vs cholate isolation), (2) the nature of amphiphiles used (variation in phospholipid headgroups and acyl chains), and (3) the ratio of amphiphiles and protein. Under all conditions, phenol-extracted coat protein was in a predominantly beta-structure and in a highly aggregated polymeric form. Cholate-isolated coat protein was initially oligomeric and contained a substantial amount of alpha-helix. Below an aggregation number of 20, this protein showed a reversible aggregation with no change in conformation. Upon further aggregation, a conformational change was observed, and aggregation was irreversible, resulting in predominantly beta-structured coat protein polymers. This effect was observed upon uptake in phospholipids at low lipid to protein molar ratios (L/P ratios) and with phosphatidylcholines (PC) and phosphatidic acids (PA) containing saturated acyl chains. After reconstitution in phospholipids with unsaturated acyl chains and with phosphatidylglycerols (PG) at high L/P ratios, the original alpha-helix-containing state of the coat protein was maintained. Cross-linking experiments demonstrated that the beta-polymers are able to form reversible superaggregates within the vesicle system. An aggregation-related conformational change mechanism for the coat protein in phospholipid systems is proposed.

The interaction of the oligonucleotides (Ap)8A and (A-T)5 with empty capsids of the coat protein of cowpea chlorotic mottle virus (CCMV) has been studied with 500 MHz 1H nuclear magnetic resonance. It is found that these oligonucleotides specifically bind to the arginine and lysine residues of the N-terminal arm of the protein. Upon this binding, immobilization of part of the N-terminal arm occurs. In addition, secondary structure predictions and energy calculations have been performed on the N-terminal arm. These calculations were carried out as a function of the charges on the arginine and lysine side-chains. For free coat protein, where the arginine and lysine side-chains are charged, the arm is found in a random-coil conformation. In the neutralized state, as for the coat protein in the virus, the arm adopts an alpha-helical conformation. The results support a previously published model for the assembly of CCMV, in which a random-coil to alpha-helix conformational transition, induced by neutralizing the arginine and lysine side-chains, plays an essential role.

Cowpea chlorotic mottle virus has been labelled with a maleimide spin label when the nucleoprotein particles were in the swollen state. After the spin-labelling reaction, the virus was dialyzed to bring the nucleoprotein particles into different conformational states. The mobility of the labelled part of the protein was monitored by electron paramagnetic resonance (EPR) spectroscopy and by the saturation-transfer EPR technique. The latter technique especially showed sensitivity to conditions that influence the RNA conformation and the RNA-protein interaction. The shape of the EPR and saturation-transfer EPR spectra can only be explained by an anisotropic motion of the whole spin-labelled viral protein or the spin-labelled part of the protein subunit in the core of the virus.

During infection the major coat protein of the filamentous bacteriophage M13 is in the cytoplasmic membrane of the host Escherichia coli. This study focuses on the configurational properties of the N-terminal part of the coat protein in the membrane-bound state. For this purpose X-Cys substitutions are generated at coat protein positions 3, 7, 9, 10, 11, 12, 13, 14, 15, 17, 19, 21, 22, 23 and 24, covering the N-terminal protein part. All coat protein mutants used are successfully produced in mg quantities by overexpression in E. coli. Mutant coat proteins are labeled and reconstituted into mixed bilayers of phospholipids. Information about the polarity of the local environment around the labeled sites is deduced from the wavelength of maximum emission using AEDANS attached to the SH groups of the cysteines as a fluorescent probe. Additional information is obtained by determining the accessibility of the fluorescence quenchers acrylamide and 5-doxyl stearic acid. By employing uniform coat protein surroundings provided by TFE and SDS, local effects of the backbone of the coat proteins or polarity of the residues could be excluded. Our data suggest that at a lipid to protein ratio around 100, the N-terminal arm of the protein gradually enters the membrane from residue 3 towards residue 19. The hinge region (residues 17–24), connecting the helical parts of the coat protein, is found to be more embedded in the membrane. Substitution of one or more of the membrane-anchoring amino acid residues lysine 8, phenylalanine 11 and leucine 14, results in a rearrangement of the N-terminal protein part into a more extended conformation. The N-terminal arm can also be forced in this conformation by allowing less space per coat protein at the membrane surface by decreasing the lipid to protein ratio. The influence of the phospholipid headgroup composition on the rearrangement of the N-terminal part of the protein is found to be negligible within the range thought to be relevant in vivo. From our experiments we conclude that membrane-anchoring and space-limiting effects are key factors for the structural rearrangement of the N-terminal protein part of the coat protein in the membrane.

In a previous paper [I] we have shown that the protein region in cowpea chlorotic mottle virus (CCMV) involved in protein-RNA interaction is very mobile in the absence of RNA. Upon binding RNA, immobilization of this protein region occurred. From a comparison with other systems, e.g. tobacco mosaic virus [2-41, tomato bushy stunt virus [5], southern bean mosaic virus [6], histones [7] and protamines [8] and using protein secondary structure predictions [9] we have suggested a general model for the protein-RNA interaction in simple plant viruses. This model is based on a random coil to a-helix transition for the protein region, interacting with RNA upon binding. In this paper we extend our work to three other spherical plant viruses. We used brome mosaic virus (BMV), belladonna mottle virus (BdMV) and cowpea mosaic virus (CPMV) since the stability of these three viruses depends to a different extent upon protein-RNA and protein-protein interactions [lo]. The results obtained confirm our previous ideas about protein-RNA interaction in simple plant viruses and permit a further retinement of our model.

The effect of incorporation of various amounts of M13 bacteriophage coat protein on the bilayer order and acyl chain motion in dimyristoylphosphatidylcholine (DMPC) liposomes has been investigated using deuterium NMR of specifically deuterated palmitic acid as a bilayer probe, phosphorus NMR and additional spin-label electron spin resonance (ESR). The secondary structure of the M13 coat protein in these bilayers was determined from circular dichroism spectra. Phosphorus NMR spectra of the mixed liposomes are characteristic for DMPC organized in bilayers, also after incorporation of various levels of M13 protein. Circular dichroism spectra of the coat protein indicate that the protein conformation is predominantly a β-structure (more than 75%). Various incorporation levels of M13 coat protein do not affect the order of the deuterium-labelled positions along the acyl chain at the carbon-2, 9 and 16 positions. In contrast, the spin-spin relaxation times decrease at higher protein levels, especially at the carbon-16 position. The spin-label ESR spectra of the same system using 14-doxylstearic acid as a label show a second, motionally restricted component, that is not observed by deuterium NMR. The NMR and ESR results are consistent with a model in which the fatty acid molecules are in a fast two-site exchange (at a rate of approx. 10 7 Hz) between the sites in the bulk of the lipid bilayer and the motionally restricted sites on the coat protein.

One of the two SH groups of the coat protein of Cowpea chlorotic mottle virus (CCMV) was spin-labeled with 3-maleimido-2,2,5,5-tetramethyl-l-pyrrolodinyloxyl. Both electron spin resonance and saturation-transfer electron spin resonance spectra were recorded of intact CCMV and CCMV in which the protein subunits are cross-linked with glutaraldehyde. From an analysis of these spectra it follows that the spin label performs a local anisotropic motion with respect to the protein to which it is attached. It is also concluded that no internal protein mobility is present on the ST-ESR timescale.

Bacteriophage M13 major coat protein has been incorporated at different lipid/protein ratios in lipid bilayers consisting of various ratios of dimyristoylphosphatidylcholine (DMPC) to dimyristoylphosphatidylglycerol (DMPG). Spin-label ESR experiments were performed with phospholipids labeled at the C-14 position of the sn-2 chain. For M13 coat protein recombinants with DMPC alone, the relative association constants were determined for the phosphatidylcholine, phosphatidylglycerol, and phosphatidic acid spin-labels and found to be 1.0, 1.0, and 2.1 relative to the background DMPC, respectively. The number of association sites for each phospholipid on the protein was found to be 4 per protein monomer. The intrinsic off-rates for lipid exchange at the intramembranous surface of the protein in DMPC alone at 30 degrees C were found to be 5 X 10(6), 6 X 10(6), and 2 X 10(6) s-1 for the phosphatidylcholine, phosphatidylglycerol, and phosphatidic acid spin-labels, respectively. Adding DMPG to the DMPC lipid system increased the exchange rates of the lipids on and off the protein. By gel filtration chromatography, it is found that protein aggregation is reduced after addition of DMPG to the lipid system. This is in agreement with measurements of tryptophan fluorescence, which show a decrease in quenching efficiency after introduction of DMPG in the lipid system. The results are interpreted in terms of a model relating the ESR data to the size of the protein-lipid aggregates.

Cowpea chlorotic mottle virus (CCMV) is a spherical plantvirus of the group of bromoviruses. An interesting feature of bromoviruses is the increase in hydrodynamic volume when the pH is raised from 5.0-7.5 at low ionic strength (