Growth and division of Spiroplasma citri: elongation of elementary helices.

The smallest viable cell of Spiroplasma citri is a two-turn helix (elementary helix). This elementary helix grows into longer parental cells, which then divide by constriction. The helical morphology is conserved during this process. The growth pattern of S. citri membranes has been investigated by different methods of membrane labeling. When labeling is done with specific antibodies, a diffuse growth of the membrane is observed. On the contrary, pulse-labeling of the membrane with tritiated amino acids reveals a polar growth of the organism. Finally, labeling of oxydo reduction sites with potassium tellurite also indicates a polarity in the organism. These results are discussed, and a scheme for spiroplasma growth is proposed.     

Mechanism of self-assembly of tobacco mosaic virus protein. I. Nucleation-controlled kinetics of polymerization.

The polymerization of tobacco mosaic virus protein has been found to proceed through metastable states under conditions where initially one of the two polymerization-linked protons is bound. These metastable polymers have been characterized and are found to be helical rods, which resemble the structure of equilibrium helical rods that form when both polymerization-linked protons are bound. At pH 6.5 and 20 °C the true equilibrium distribution of these helical rods has been shown to consist of sedimenting species that are much smaller, 24 to 34 S, than described previously, 100 to 200 S. The larger, non-equilibrium rods are produced by an overshoot in polymerization that results from the slow formation of 20 S nuclei followed by a very rapid elongation reaction. Generally, this sequence of rate processes is sensitive to the rate at which a reaction is initiated. In the present case it is the rate of heating or the rate of change of the pH that determines the reaction path and therefore the rate of attainment of equilibrium. In addition to the formation of metastable helical rods during polymerization overshoot, metastable 20 S aggregates can form when either equilibrium or non-equilibrium helical rods are depolymerized by cooling to 5 to 7 °C at pH 6.5. These 20 S aggregates are presumably two-turn disks or helices and can serve as nuclei for helical rod formation in subsequent polymerization reactions. Both helical rod and 20 S metastability are extremely sensitive to pH but, under carefully controlled conditions, the metastability is quite reproducible and reproducible nucleation-controlled polymerization kinetics can be observed even when polymerization-depolymerization cycling is carried out between branches of a hysteresis loop. Temperature- or pH-induced polymerization of tobacco mosaic virus protein can be made to proceed by the slow formation of 20 S, two-turn helix, nuclei followed by the rapid addition of one or more species comprising the 4 S protein. These results confirm a previously proposed kinetic mechanism for the non-equilibrium polymerization reaction (Scheele &; Schuster, 1974).     

Ribosomal Helices: Formation in Escherichia coli During Acidic Growth

Ribosomal helices are formed in 100% of Escherichia coli cells during extended growth in a medium of low buffering capacity. During this time, the pH of the medium gradually decreases from 7.0 to about 5.0. Transfer of cells into preconditioned or acidified medium does not result in helix formation unless acidification is gradual and during active growth. Concomitant with helix formation is a decrease of all major biosynthetic activities and cessation of cell motility. The larger polyribosomes become converted into an inactive helical form and sediment in sucrose gradients with the wall-membrane complex.     

Structures of the transmembrane helices of the G-protein coupled receptor, rhodopsin.

An hypothesis is tested that individual peptides corresponding to the transmembrane helices of the membrane protein, rhodopsin, would form helices in solution similar to those in the native protein. Peptides containing the sequences of helices 1, 4 and 5 of rhodopsin were synthesized. Two peptides, with overlapping sequences at their termini, were synthesized to cover each of the helices. The peptides from helix 1 and helix 4 were helical throughout most of their length. The N- and C-termini of all the peptides were disordered and proline caused opening of the helical structure in both helix 1 and helix 4. The peptides from helix 5 were helical in the middle segment of each peptide, with larger disordered regions in the N- and C-termini than for helices 1 and 4. These observations show that there is a strong helical propensity in the amino acid sequences corresponding to the transmembrane domain of this G-protein coupled receptor. In the case of the peptides from helix 4, it was possible to superimpose the structures of the overlapping sequences to produce a construct covering the whole of the sequence of helix 4 of rhodopsin. As similar superposition for the peptides from helix 1 also produced a construct, but somewhat less successfully because of the disordering in the region of sequence overlap. This latter problem was more severe for helix 5 and therefore a single peptide was synthesized for the entire sequence of this helix, and its structure determined. It proved to be helical throughout. Comparison of all these structures with the recent crystal structure of rhodopsin revealed that the peptide structures mimicked the structures seen in the whole protein. Thus similar studies of peptides may provide useful information on the secondary structure of other transmembrane proteins built around helical bundles.     

Conformation of human apolipoprotein C-I in a lipid-mimetic environment determined by CD and NMR spectroscopy.

The high-resolution conformation of human apoC-I in complexes with sodium dodecyl sulfate (SDS) is presented. As estimated from CD data, apoC-I adopts 54% helical secondary structure when bound to SDS, which is similar to the helical content previously found with phospholipids. The NMR-derived conformation of apoC-I is composed of two amphipathic helices, residues 7-29 and 38-52, separated by a flexible linker. The N-terminal helix contains a mobile hinge involving residues 12-15. The hydrophobic side chains cluster on the nonpolar face of both helices, thus forming two discrete lipid-binding sites in the N-terminal helix and one in the C-terminal helix. As suggested by amide proton resonance line widths and deuterium exchange rates, the N-terminal helix is more flexible and may bind less tightly to the detergent than the C-terminal helix. The different mobility of both helices appears to be related to side-chain composition, rather than length of the amphipathic helix, and may play a role in the function of apoC-I as an activator of lecithin:cholesterol acyltransferase (LCAT). A model is suggested in which the C-terminal helix serves as a lipid anchor while the N-terminal helix may hinge off the lipid surface to make specific contacts with LCAT.     

Three Mutations in Escherichia coli That Generate Transformable Functional Flagella

Hydrodynamics predicts that swimming bacteria generate a propulsion force when a helical flagellum rotates because rotating helices necessarily translate at a low Reynolds number. It is generally believed that the flagella of motile bacteria are semirigid helices with a fixed pitch determined by hydrodynamic principles. Here, we report the characterization of three mutations in laboratory strains of Escherichia coli that produce different steady-state flagella without losing cell motility. E. coli flagella rotate counterclockwise during forward swimming, and the normal form of the flagella is a left-handed helix. A single amino acid exchange A45G and a double mutation of A48S and S110A change the resting flagella to right-handed helices. The stationary flagella of the triple mutant were often straight or slightly curved at neutral pH. Deprotonation facilitates the helix formation of it. The helical and curved flagella can be transformed to the normal form by torsion upon rotation and thus propel the cell. These mutations arose in the long-term laboratory cultivation. However, flagella are under strong selection pressure as extracellular appendages, and similar transformable flagella would be common in natural environments.     

Length‐dependent stability of α‐helical peptide upon adsorption to single‐walled carbon nanotube

Earlier studies have shown that the helical content of α‐helical peptide decreases upon its interaction with carbon nanotube (CNT). Further, the length of the α‐helix varies from few residues in the small globular protein to several number of residues in structural and membrane proteins. In structural and membrane proteins, helices are widely present as the supercoil i.e., helical bundles. Thus, in this study, the length‐dependent interaction pattern of α‐helical peptides with CNT and the stability of isolated α‐helical fragment versus supercoiled helical bundle upon interaction with CNT have been investigated using classical molecular dynamics (MD) simulation. Results reveal that the disruption in the helical motif on interaction with CNT is directly proportional to the length of the helix. Also it is found that the shorter helix does not undergo noticeable changes in the helicity upon adsorption with CNT. On the other hand, helicity of longer peptides is considerably affected by its interaction with CNT. In contrast to the known fact that the stability of the helix increases with its length, the disruption in the helical peptide increases with its length upon its interaction with CNT. Comparison of results shows that structural changes in the isolated helical fragment are higher than that in supercoiled helix. In fact, helical chain in supercoiled bundle does not undergo significant changes in the helicity upon interaction with CNT. Both the length of the helical peptide and the inherent stability of the helical unit in the supercoiled helix influence the interaction pattern with the CNT. © 2012 Wiley Periodicals, Inc. Biopolymers 99: 357–369, 2013.     

Design,synthesis, and conformational studies of the hGM‐CSF derived peptide (13–27)–Gly–(75–87)

An analogue of the human granulocyte–macrophage colony‐stimulating factor (hGM‐CSF), hGM‐CSF(13–27)–Gly–(75–87) was synthesized by solid phase methodology. This analogue was designed to comprise helices A and C of the native growth factor, linked by a glycine bridge. Helices A and C form half of a four‐helix bundle motif in the crystal structure of the native factor and are involved in the interaction with α‐ and β‐chains of the heterodimeric receptor. A conformational analysis of the synthetic analogue by CD, two‐dimensional nmr spectroscopy, and molecular dynamics calculations is reported. The analogue is in a random structure in water and assumes a partially α‐helical conformation in a 1 : 1 trifluoroethanol/water mixture. The helix content in this medium is ∼ 70%. By 2D‐nmr spectroscopy, two helical segments were identified in the sequences corresponding to helices A and C. In addition to medium‐ and short‐range NOESY connectivities, a long‐range cross peak was found between the Cβ proton of Val¹⁶ and NH proton of His⁸⁷ (using the numbering of the native protein). Experimentally derived interproton distances were used as restraints in molecular dynamics calculations, utilizing the x‐ray coordinates as the initial structure. The final structure is characterized by two helical segments in close spatial proximity, connected by a loop region. This structure is similar to that of the corresponding domain in the x‐ray structure of the native growth factor in which helices A and C are oriented in an antiparallel fashion. The N‐terminal residues Gly–Pro of helix C are involved in an irregular turn connecting the two helical segments. As a consequence, helix C is appreciably shifted and slightly rotated with respect to helix A compared to the x‐ray structure of the native growth factor. These small differences in the topology of the two helices could explain the lower biological activity of this analogue with respect to that of the native growth factor. © 1999 John Wiley & Sons, Inc. Biopoly 50: 545–554, 1999     

Geometrical principles of homomeric β‐barrels and β‐helices: Application to modeling amyloid protofilaments

Examples of homomeric β‐helices and β‐barrels have recently emerged. Here we generalize the theory for the shear number in β‐barrels to encompass β‐helices and homomeric structures. We introduce the concept of the “β‐strip,” the set of parallel or antiparallel neighboring strands, from which the whole helix can be generated giving it n‐fold rotational symmetry. In this context, the shear number is interpreted as the sum around the helix of the fixed register shift between neighboring identical β‐strips. Using this approach, we have derived relationships between helical width, pitch, angle between strand direction and helical axis, mass per length, register shift, and number of strands. The validity and unifying power of the method is demonstrated with known structures including α‐hemolysin, T4 phage spike, cylindrin, and the HET‐s(218‐289) prion. From reported dimensions measured by X‐ray fiber diffraction on amyloid fibrils, the relationships can be used to predict the register shift and the number of strands within amyloid protofilaments. This was used to construct models of transthyretin and Alzheimer β(40) amyloid protofilaments that comprise a single strip of in‐register β‐strands folded into a “β‐strip helix.” Results suggest both stabilization of an individual β‐strip helix and growth by addition of further β‐strip helices can involve the same pair of sequence segments associating with β‐sheet hydrogen bonding at the same register shift. This process would be aided by a repeat sequence. Hence, understanding how the register shift (as the distance between repeat sequences) relates to helical dimensions will be useful for nanotube design.     

UDP-glucose dehydrogenase: substrate binding stoichiometry and affinity

Precise structural parameters of polyribonucleotides single stranded helices are determined as well as those of double stranded helices of poly 2′-O-methyl A and of poly A at neutral and acid pH. Infrared linear dichroism investigations indicate the similarity of the conformation of the sugar-phosphate backbone of these single and double stranded helices. The angles of the phosphate group for single stranded helix at neutral pH is found to be oriented at 48° for the 02P02 bisector and at about 65° for the 02–03 line to the helix axis. Similar values were found for double stranded poly A helix at acid pH. These structural parameters obtained for the first time on single stranded polynucleotide helices are proposed to be valid for other similar helical chains such as poly A segments of nuclear or messenger RNA and single stranded CCA acceptor end of transfer RNA.     

Age-dependent differential responses ofSaprolegnia hyphal tips to a helical growth-inducing factor in the agar substitute,gellan

Saprolegnia ferax produces more-or-less straight, subapically branched, hyphae when growing in liquid or agar-solidified media, with abundant aerial mycelium on the latter. In Contrast, the same medium solidified with gellan gum induced helical growth with reduced branching and almost no aerial mycelium. Helical growth induction was gellan concentration-dependent, peaking at 0.4–0.6% (w/v), when about 60% of tips were helical. Gellan-induced helices showed concentration-dependent inhibition by agarose and polyethylene glycol. Colonies on gellan-agarose, where helices were inhibited, reverted to having aerial mycelium, whereas those on gellan-polyethylene glycol did not. Branches on helical hyphae were initially linear, but converted to helical growth after about 2 h of extension. This transition was often marked by a branch, thus branch and helix competency appeared to be related. Germinating cysts took twice as long as hyphal inocula before producing helical hyphae, reinforcing the suggestion that helix competence was age-related.Achlya, but notPhytophthora, also showed gellan-induced helical growth and aerial mycelium suppression. These results showed (a) that morphogenic regulators of hyphal growth responded to gelling agents, probably high-molecular-weight polysaccharides, (b) that all growing hyphal tips were not equivalent, and (c) that hyphal tips underwent age-related changes in their response to the environment. The gellan-related differences in aerial mycelium mimic hydrophobin-based mycelium behavior and may thus indicate environmental regulation of hydrophobin production.     

Design of stable α‐helices using global sequence optimization

The rational design of peptide and protein helices is not only of practical importance for protein engineering but also is a useful approach in attempts to improve our understanding of protein folding. Recent modifications of theoretical models of helix‐coil transitions allow accurate predictions of the helix stability of monomeric peptides in water and provide new possibilities for protein design. We report here a new method for the design of α‐helices in peptides and proteins using AGADIR, the statistical mechanical theory for helix‐coil transitions in monomeric peptides and the tunneling algorithm of global optimization of multidimensional functions for optimization of amino acid sequences. CD measurements of helical content of peptides with optimized sequences indicate that the helical potential of protein amino acids is high enough to allow formation of stable α‐helices in peptides as short as of 10 residues in length. The results show the maximum achievable helix content (HC) of short peptides with fully optimized sequences at 5 °C is expected to be ～70–75%. Under certain conditions the method can be a powerful practical tool for protein engineering. Unlike traditional approaches that are often used to increase protein stability by adding a few favorable interactions to the protein structure, this method deals with all possible sequences of protein helices and selects the best one from them. Copyright © 2009 European Peptide Society and John Wiley & Sons, Ltd.     

Breaking non-native hydrophobic clusters is the rate-limiting step in the folding of an alanine-based peptide

The formation mechanism of an alanine-based peptide has been studied by all-atom molecular dynamics simulations with a recently developed all-atom point-charge force field and the Generalize Born continuum solvent model at an effective salt concentration of 0.2M. Thirty-two simulations were conducted. Each simulation was performed for 100 ns. A surprisingly complex folding process was observed. The development of the helical content can be divided into three phases with time constants of 0.06-0.08, 1.4-2.3, and 12-13 ns, respectively. Helices initiate extreme rapidly in the first phase similar to that estimated from explicit solvent simulations. Hydrophobic collapse also takes place in this phase. A folding intermediate state develops in the second phase and is unfolded to allow the peptide to reach the transition state in the third phase. The folding intermediate states are characterized by the two-turn short helices and the transition states are helix-turn-helix motifs-both of which are stabilized by hydrophobic clusters. The equilibrium helical content, calculated by both the main-chain Phi-Psi torsion angles and the main-chain hydrogen bonds, is 64-66%, which is in remarkable agreement with experiments. After corrected for the solvent viscosity effect, an extrapolated folding time of 16-20 ns is obtained that is in qualitative agreement with experiments. Contrary to the prevailing opinion, neither initiation nor growth of the helix is the rate-limiting step. Instead, the rate-limiting step for this peptide is breaking the non-native hydrophobic clusters in order to reach the transition state. The implication to the folding mechanisms of proteins is also discussed.     

Helical structures in complex plasma I: Noncollective interaction

The conditions for the formation and stability of helical quasi-crystals in a complex plasma containing dust grains of equal size are investigated. A study is made of both the confinement of such helical structures in a direction transverse to the cylinder axis by means of an external parabolic potential well and the possibility of their self-confinement. Computer simulations of the helical dust structures were carried for two cases: for a structure of infinite length along the symmetry axis (or a closed structure in toroidal geometry) and for a structure of finite length. The dust grains were assumed to interact through a potential that is a superposition of the non-Debye nonlinear screened potential and the nonscreened noncollective attractive potential (the Lesage effect). Molecular dynamics simulations showed that, in the presence of dissipation, any initial random distribution of the dust grains interacting through such a potential in cylindrical geometry evolves to an equilibrium helical structure. When the external control parameter was varied smoothly, the pitch angle of the helix was observed to bifurcate (i.e., to undergo sharp jumps). The structure of the helix was also observed to bifurcate when the external parameter was varied: a helix changed into two interwoven helices, which then changed into three interwoven helices, etc. The smaller the confinement parameter (and, accordingly, the larger the radius of the helical structures) and the stronger the attractive forces between the grains, the larger the number of bifurcations. The results of analytical calculations of the parameters of the equilibrium structures and of their energies are in complete agreement with numerical results. It is also shown that noncollective attraction between dust grains makes it probable that helical structures will exists when the external confinement parameter is zero or even when it is negative. Bifurcations in such systems may provide the possibility of creating new types of memory elements.     

Evolution of Helix Formation in the Ribosomal Internal Transcribed Spacer 2 (ITS2) and Its Significance for RNA Secondary Structures

Helices are the most common elements of RNA secondary structure. Despite intensive investigations of various types of RNAs, the evolutionary history of the formation of new helices (novel helical structures) remains largely elusive. Here, by studying the nuclear ribosomal Internal Transcribed Spacer 2 (ITS2), a fast-evolving part of the eukaryotic nuclear ribosomal operon, we identify two possible types of helix formation: one type is “dichotomous helix formation”—transition from one large helix to two smaller helices by invagination of the apical part of a helix, which significantly changes the shape of the original secondary structure but does not increase its complexity (i.e., the total length of the RNA). An alternative type is “lateral helix formation”—origin of an extra helical region by the extension of a bulge loop or a spacer in a multi-helix loop of the original helix, which does not disrupt the pre-existing structure but increases RNA size. Moreover, we present examples from the RNA sequence literature indicating that both types of helix formation may have implications for RNA evolution beyond ITS2.     

Alpha helix capping in synthetic model peptides by reciprocal side chain–main chain interactions: Evidence for an N terminal “capping box”

A significant fraction of the amino acids in proteins are alpha helical in conformation. Alpha helices in globular proteins are short, with an average length of about twelve residues, so that residues at the ends of helices make up an important fraction of all helical residues. In the middle of a helix, H-bonds connect the NH and CO groups of each residue to partners four residues along the chain. At the ends of a helix, the H-bond potential of the main chain remains unfulfilled, and helix capping interactions involving bonds from polar side chains to the NH or CO of the backbone have been proposed and detected. In a study of synthetic helical peptides, we have found that the sequence Ser-Glu-Asp-Glu stabilizes the alpha helix in a series of helical peptides with consensus sequences. Following the report by Harper and Rose, which identifies SerXaaXaaGlu as a member of a class of common motifs at the N termini of alpha helices in proteins that they refer to as “capping boxes,” we have reexamined the side chain–main chain interactions in a varient sequence using ¹H NMR, and find that the postulated reciprocal side chain-backbone bonding between the first Ser and last Glu side chains and their peptide NH partners can be resolved: Deletion of two residues N terminal to the Ser-Glu-Asp-Glu sequence in these peptides has no effect on the initiation of helical structure, as defined by two-dimensional (2D) NMR experiments on this variant. Thus the capping box sequence Ser-Glu-Asp-Glu inhibits N terminal fraying of the N terminus of alpha helix in these peptides, and shows the side chain–main chain interactions proposed by Harper and Rose. It thus acts as a helix initiating signal. Since normal a helix cannot propagate beyond the N terminus of this structure, the box acts as a termination signal in this direction as well. © 1994 John Wiley & Sons, Inc.     

The global structure of the VS ribozyme

The VS ribozyme comprises five helical segments (II-VI) in a formal H shape, organized by two three-way junctions. It interacts with its stem-loop substrate (I) by tertiary interactions. We have determined the global shape of the 3-4-5 junction (relating helices III-V) by electrophoresis and FRET. Estimation of the dihedral angle between helices II and V electrophoretically has allowed us to build a model for the global structure of the complete ribozyme. We propose that the substrate is docked into a cleft between helices II and VI, with its loop making a tertiary interaction with that of helix V. This is consistent with the dependence of activity on the length of helix III. The scissile phosphate is well placed to interact with the probable active site of the ribozyme, the loop containing A730.     

Native and non-native secondary structure and dynamics in the pH 4 intermediate of apomyoglobin

The partly folded state of apomyoglobin at pH 4 represents an excellent model for an obligatory kinetic folding intermediate. The structure and dynamics of this intermediate state have been extensively examined using NMR spectroscopy. Secondary chemical shifts, (1)H-(1)H NOEs, and amide proton temperature coefficients have been used to probe residual structure in the intermediate state, and NMR relaxation parameters T(1) and T(2) and ?(1)H?-(15)N NOE have been analyzed using spectral densities to correlate motion of the polypeptide chain with these structural observations. A significant amount of helical structure remains in the pH 4 state, indicated by the secondary chemical shifts of the (13)C(alpha), (13)CO, (1)H(alpha), and (13)C(beta) nuclei, and the boundaries of this helical structure are confirmed by the locations of (1)H-(1)H NOEs. Hydrogen bonding in the structured regions is predominantly native-like according to the amide proton chemical shifts and their temperature dependence. The locations of the A, G, and H helix segments and the C-terminal part of the B helix are similar to those in native apomyoglobin, consistent with the early, complete protection of the amides of residues in these helices in quench-flow experiments. These results confirm the similarity of the equilibrium form of apoMb at pH 4 and the kinetic intermediate observed at short times in the quench-flow experiment. Flexibility in this structured core is severely curtailed compared with the remainder of the protein, as indicated by the analysis of the NMR relaxation parameters. Regions with relatively high values of J(0) and low values of J(750) correspond well with the A, B, G, and H helices, an indication that nanosecond time scale backbone fluctuations in these regions of the sequence are restricted. Other parts of the protein show much greater flexibility and much reduced secondary chemical shifts. Nevertheless, several regions show evidence of the beginnings of helical structure, including stretches encompassing the C helix-CD loop, the boundary of the D and E helices, and the C-terminal half of the E helix. These regions are clearly not well-structured in the pH 4 state, unlike the A, B, G, and H helices, which form a native-like structured core. However, the proximity of this structured core most likely influences the region between the B and F helices, inducing at least transient helical structure.     

Structure stability of lytic peptides during their interactions with lipid bilayers.

In this work, molecular dynamics simulations were used to examine the consequences of a variety of analogs of cecropin A on lipid bilayers. Analog sequences were constructed by replacing either the N- or C-terminal helix with the other helix in native or reverse sequence order, by making palindromic peptides based on both the N- and C-terminal helices, and by deleting the hinge region. The structure of the peptides was monitored throughout the simulation. The hinge region appeared not to assist in maintaining helical structure but help in motion flexibility. In general, the N-terminal helix of peptides was less stable than the C-terminal one during the interaction with anionic lipid bilayers. Sequences with hydrophobic helices tended to regain helical structure after an initial loss while sequences with amphipathic helices were less able to do this. The results suggests that hydrophobic design peptides have a high structural stability in an anionic membrane and are the candidates for experimental investigation.     

QHELIX: A Computational Tool for the Improved Measurement of Inter-Helical Angles in Proteins

Knowledge about the assembled structures of the secondary elements in proteins is essential to understanding protein folding and functionality. In particular, the analysis of helix geometry is required to study helix packing with the rest of the protein and formation of super secondary structures, such as, coiled coils and helix bundles, formed by packing of two or more helices. Here we present an improved computational method, QHELIX, for the calculation of the orientation angles between helices. Since a large number of helices are known to be in curved shapes, an appropriate definition of helical axes is a prerequisite for calculating the orientation angle between helices. The present method provides a quantitative measure on the irregularity of helical shape, resulting in discriminating irregular-shaped helices from helices with an ideal geometry in a large-scale analysis of helix geometry. It is also capable of straightforwardly assigning the direction of orientation angles in a consistent way. These improvements will find applications in finding a new insight on the assembly of protein secondary structure. Electronic Supplementary Material The online version of this article (doi:) contains supplementary material, which is available to authorized users.