New tubular single-stranded helix of poly-L-amino acids suggested by molecular mechanics calculations: I. Homopolypeptides in isolated environments.

A search was made in terms of molecular mechanics calculation for tubular, or pore-forming, single-stranded helices of poly-L-amino acids. Such a helix was found in the vicinity of (phi, psi, omega) = 81 degrees, 98 degrees, 170 degrees) in the conformational space. It was the 6.2(20) helix of right-handedness. The 6.2(20) helix, here named the "mu helix," had a cylindrical pore along its helical axis. The diameter of the pore was 6.6 A on the basis of the atom centers of carbonyl carbons and amino nitrogens. The left-handed mu helix was less stable than the right-handed counterpart. The conformation energy of the mu helix, expressed relative to that of the alpha helix of the same polypeptide, depended to a great extent on amino acid composition. It varied over a range of a few kilocalories per mol per residue above and below the conformation energy of the alpha helix of the same polypeptide. This marked diversity in the relative conformation energy of the mu helix can be ascribed primarily to the difference in the relative position of alpha-carbons between the mu and the alpha helices. The conformational entropy made only a small contribution, if any, to the relative stability of the mu helix. There was a hydrogen-bonded network of side chains in the mu helices of poly-L-glutamine and poly-L-asparagine.     

Structure of the influenza C virus CM2 protein transmembrane domain obtained by site-specific infrared dichroism and global molecular dynamics searching

The 115-residue protein CM2 from Influenza C virus has been recently characterized as a tetrameric integral membrane glycoprotein. Infrared spectroscopy and site-directed infrared dichroism were utilized here to determine its transmembrane structure. The transmembrane domain of CM2 is alpha-helical, and the helices are tilted by beta = (14.6 +/- 3.0) degrees from the membrane normal. The rotational pitch angle about the helix axis omega for the 1-(13)C-labeled residues Gly(59) and Leu(66) is omega = (218 +/- 17) degrees, where omega is defined as zero for a residue pointing in the direction of the helix tilt. A detailed structure was obtained from a global molecular dynamics search utilizing the orientational data as an energy refinement term. The structure consists of a left-handed coiled-coil with a helix crossing angle of Omega = 16 degrees. The putative transmembrane pore is occluded by the residue Met(65). In addition hydrogen/deuterium exchange experiments show that the core is not accessible to water.     

Peptide design using alpha,beta-dehydro amino acids: from beta-turns to helical hairpins

Incorporation of alpha,beta-dehydrophenylalanine (DeltaPhe) residue in peptides induces folded conformations: beta-turns in short peptides and 3(10)-helices in larger ones. A few exceptions-namely, alpha-helix or flat beta-bend ribbon structures-have also been reported in a few cases. The most favorable conformation of DeltaPhe residues are (phi,psi) approximately (-60 degrees, -30 degrees ), (-60 degrees, 150 degrees ), (80 degrees, 0 degrees ) or their enantiomers. DeltaPhe is an achiral and planar residue. These features have been exploited in designing DeltaPhe zippers and helix-turn-helix motifs. DeltaPhe can be incorporated in both right and left-handed helices. In fact, consecutive occurrence of three or more DeltaPhe amino acids induce left-handed screw sense in peptides containing L-amino acids. Weak interactions involving the DeltaPhe residue play an important role in molecular association. The C--H.O==C hydrogen bond between the DeltaPhe side-chain and backbone carboxyl moiety, pi-pi stacking interactions between DeltaPhe side chains belonging to enantiomeric helices have shown to stabilize folding. The unusual capability of a DeltaPhe ring to form the hub of multicentered interactions namely, a donor in aromatic C--H.pi and C--H.O==C and an acceptor in a CH(3).pi interaction suggests its exploitation in introducing long-range interactions in the folding of supersecondary structures.     

The crystal structure of the alpha-cellobiose.2 NaI.2 H(2)O complex in the context of related structures and conformational analysis

The crystal structure of beta-D-glucopyranosyl-(1-->4)-alpha-D-glucopyranose (alpha-cellobiose) in a complex with water and NaI was determined with Mo K(alpha) radiation at 150 K to R=0.027. The space group is P2(1) and unit cell dimensions are a=9.0188, b=12.2536, c=10.9016 A, beta=97.162 degrees. There are no direct hydrogen bonds among cellobiose molecules, and the usual intramolecular hydrogen bond between O-3 and O-5' is replaced by a bridge involving Na+, O-3, O-5', and O-6'. Both Na+ have sixfold coordination. One I(-) accepts six donor hydroxyl groups and three C-H***I(-) hydrogen bonds. The other accepts three hydroxyls, one Na+, and five C-H***I(-) hydrogen bonds. Linkage torsion angles phi(O-5) and psi(C-5) are -73.6 and -105.3 degrees, respectively (phi(H)=47.1 degrees and psi(H)=14.6 degrees ), probably induced by the Na+ bridge. This conformation is in a separate cluster in phi,psi space from most similar linkages. Both C-6-O-H and C-6'-O-H are gg, while the C-6'-O-H groups from molecules not in the cluster have gt conformations. Hybrid molecular mechanics/quantum mechanics calculations show <1.2 kcal/mol strain for any of the small-molecule structures. Extrapolation of the NaI cellobiose geometry to a cellulose molecule gives a left-handed helix with 2.9 residues per turn. The energy map and small-molecule crystal structures imply that cellulose helices having 2.5 and 3.0 residues per turn are left-handed.     

3(10)-helices in proteins are parahelices

The 3(10)-helix is characterized by having at least two consecutive hydrogen bonds between the main-chain carbonyl oxygen of residue i and the main-chain amide hydrogen of residue i + 3. The helical parameters--pitch, residues per turn, radius, and root mean square deviation (rmsd) from the best-fit helix--were determined by using the HELFIT program. All 3(10)-helices were classified as regular or irregular based on rmsd/(N - 1)1/2 where N is the helix length. For both there are systematic, position-specific shifts in the backbone dihedral angles. The average phi, psi shift systematically from approximately -58 degrees, approximately -32 degrees to approximately -90 degrees, approximately -4 degrees for helices 5, 6, and 7 residues long. The same general pattern is seen for helices, N = 8 and 9; however, in N = 9, the trend is repeated with residues 6, 7, and 8 approximately repeating the phi, psi of residues 2, 3, and 4. The residues per turn and radius of regular 3(10)-helices decrease with increasing length of helix, while the helix pitch and rise per residue increase. That is, regular 3(10)-helices become thinner and longer as N increases from 5 to 8. The fraction of regular 3(10)-helices decreases linearly with helix length. All longer helices, N > or = 9 are irregular. Energy minimizations show that regular helices become less stable with increasing helix length. These findings indicate that the definition of 3(10)-helices in terms of average, uniform dihedral angles is not appropriate and that it is inherently unstable for a polypeptide to form an extended, regular 3(10)-helix. The 3(10)-helices observed in proteins are better referred to parahelices.     

Parallel helix bundles and ion channels: molecular modeling via simulated annealing and restrained molecular dynamics.

A parallel bundle of transmembrane (TM) alpha-helices surrounding a central pore is present in several classes of ion channel, including the nicotinic acetylcholine receptor (nAChR). We have modeled bundles of hydrophobic and of amphipathic helices using simulated annealing via restrained molecular dynamics. Bundles of Ala20 helices, with N = 4, 5, or 6 helices/bundle were generated. For all three N values the helices formed left-handed coiled coils, with pitches ranging from 160 A (N = 4) to 240 A (N = 6). Pore radius profiles revealed constrictions at residues 3, 6, 10, 13, and 17. A left-handed coiled coil and a similar pattern of pore constrictions were observed for N = 5 bundles of Leu20. In contrast, N = 5 bundles of Ile20 formed right-handed coiled coils, reflecting loosened packing of helices containing beta-branched side chains. Bundles formed by each of two classes of amphipathic helices were examined: (a) M2a, M2b, and M2c derived from sequences of M2 helices of nAChR; and (b) (LSSLLSL)3, a synthetic channel-forming peptide. Both classes of amphipathic helix formed left-handed coiled coils. For (LSSLLSL)3 the pitch of the coil increased as N increased from 4 to 6. The M2c N = 5 helix bundle is discussed in the context of possible models of the pore domain of nAChR.     

Synthesis, crystal structure and molecular conformation of N-Ac-dehydro-Phe-L-Val-OH.

The peptide N-Ac-dehydro-Phe-L-Val-OH (C16H20N2O4) was synthesized by the usual workup procedure. The peptide crystallizes from its solution in acetonitrile at 4 degrees in hexagonal space group P6(5) with a = b = 11.874(2)A, c = 21.856(9) A, V = 2668(1) A3, Z = 6, dm = 1.151(3) g cm-3, dc = 1.136(4) g cm-3, CuK alpha = 1.5418 A, mu = 0.641 mm-1, F(000) = 972, T = 293 K. The structure was solved by direct methods and refined by least-squares procedure to an R value of 0.074 for 1922 observed reflections. In the dehydro-residue, the C1 alpha-C1 beta distance is 1.35(1) A while the bond angle C1 alpha-C1 beta-C1 gamma is 131.2(9) degrees. The backbone torsion angles are: omega 0 = 172(1) degrees, phi 1 = -60(2) degrees, psi 1 = -31(2) degrees, omega 1 = -179(1) degrees, phi 2 = 59(2) degrees. These values suggest that the peptide tends to adopt an alternating right-handed and left-handed helical conformation. The side chain torsion angles are: chi 1(1) = -6(2) degrees, chi 1(2.1) = -1(2) degrees, chi 1(2.2) = -178(2) degrees, chi 2(1.1) = 63(2) degrees and chi 2(1.2) = -173(1) degrees. These values show that the side chain of dehydro-Phe is planar whereas the valyl side chain adopts a sterically most preferred conformation. The molecules, linked by intermolecular hydrogen bonds and van der Waals forces, are arranged in helices along the c-axis. The helices are held side-by-side by van der Waals contacts.     

X-ray structure of a maquette scaffold

Maquettes are de novo designed mimicries of nature used to test the construction and engineering criteria of oxidoreductases. One type of scaffold used in maquette construction is a four-alpha-helical bundle. The sequence of the four-alpha-helix bundle maquettes follows a heptad repeat pattern typical of left-handed coiled-coils. Initial designs were molten globular due partly to the minimalist approach taken by the designers. Subsequent iterative redesign generated several structured scaffolds with similar heme binding properties. Variant [I(6)F(13)](2), a structured scaffold, was partially resolved with NMR spectroscopy and found to have a set of mobile inter-helical packing interfaces. Here, the X-ray structure of a similar peptide ([I(6)F(13)M(31)](2) i.e. ([CGGG EIWKL HEEFLKK FEELLKL HEERLKKM](2))(2) which we call L31M), has been solved using MAD phasing and refined to 2.8A resolution. The structure shows that the maquette scaffold is an anti-parallel four-helix bundle with "up-up-down-down" topology. No pre-formed heme-binding pocket exists in the protein scaffold. We report unexpected inter-helical crossing angles, residue positions and translations between the helices. The crossing angles between the parallel helices are -5 degrees rather than the expected +20 degrees for typical left-handed coiled-coils. Deviation of the scaffold from the design is likely due to the distribution and size of hydrophobic residues. The structure of L31M points out that four identical helices may interact differently in a bundle and heptad repeats with an alternating [HPPHHPP]/[HPPHHPH] (H: hydrophobic, P: polar) pattern are not a sufficient design criterion to generate left-hand coiled-coils.     

Contributions of left-handed helical residues to the structure and stability of bacteriophage T4 lysozyme

Non-glycine residues in proteins are rarely observed to have "left-handed helical" conformations. For glycine, however, this conformation is common. To determine the contributions of left-handed helical residues to the stability of a protein, two such residues in phage T4 lysozyme, Asn55 and Lys124, were replaced with glycine. The mutant proteins fold normally and are fully active, showing that left-handed non-glycine residues, although rare, do not have an indispensable role in the folding of the protein or in its activity. The thermodynamic stability of the Lys124 to Gly variant is essentially identical with that of wild-type lysozyme. The Asn55 to Gly mutant protein is marginally less stable (0.5 kcal/mol). These results indicate that the conformational energy of a glycine and a non-glycine residue in the left-handed helical conformation are very similar. This is consistent with some theoretical energy distributions, but is inconsistent with others, which suggest that replacements of the sort described here might increase the stability of the protein by up to 5 kcal/mol. Crystallographic analysis of the mutant proteins shows that the backbone conformation of the Lys124 to Gly variant is essentially identical with that of the wild-type structure. In the case of the Asn55 to Gly replacement, however, the (phi, psi) values of residue 55 change by about 20 degrees. This suggests that the energy minimum for left-handed glycine residues is not the same as that for non-glycine residues. This is strongly indicated also by a survey of accurately determined protein crystal structures, which suggests that the energy minimum for left-handed glycine residues is near (phi = 90 degrees, psi = 0 degrees), whereas that for non-glycine residues is close to (phi = 60 degrees, psi = 30 degrees). This apparent energy minimum for glycine is not clearly predicted by any of the theoretical (phi, psi) energy contour maps.     

An asymmetric conformation of 1,3,5-benzene tricarbonyl [Aib4OMe]3.

Molecules of 1,3,5-benzene tricarbonyl [Aib(4)OMe](3) do not possess any internal symmetry, neither exact nor approximate, in the crystalline state. The Aib(4)OMe moieties each form a 3(10)-helix with an appropriate pair of hydrogen bonds but the sense of rotation is right-handed for two of the helices and left-handed for the third one. The helices are not evenly positioned around the benzene ring, and their helix axes are inclined toward one side of the plane of the benzene ring, giving the molecule the shape of a shallow bowl with an irregular periphery. The molecules are largely surrounded by water and dimethyl sulfoxide (DMSO) solvent molecules that form hydrogen bonds with the CO and NH moieties that protrude from the surfaces of the peptide molecule. The space group is Cc with a = 23.618(4) A, b = 19.708(6) A, c = 17.939(7) A and beta = 100.09(3) degrees.     

Analysis of the possible helical structures of nucleic acids and polynucleotides. Application of (n-h) plots.

The two helical parameters n and h where n is the number of nucleotide residues per turn and h is the height per nucleotide residue have been evaluated for single stranded helical polynucleotide chains comprising C(3') -endo and C(2') endo class of nucleotides. The helical parameters are found to be especially sensitive to the C(4')-C(3') (sugar pucker) and the C(4')-C(5') torsions. The (n-h) plots display only one important helix forming domain for each class of nucleotides characterized by the sugar pucker and the C(4')-C(5') torsion. A correlation between the (n-h) plots and the known RNA (A,A') and DNA (A,B,C) helical forms has been established. It is found that all forms of helices except the C-DNA possess a favorable combination of P-O torsions. The analysis of the (n-h) plots suggests that C-DNA can have a conformation very similar to B-DNA. Although the (n-h) plots predict the stereochemical possibility of both right-handed and left-handed helices, nucleic acids apparently prefer right-handed conformation because of the energetics associated with the sugar-phosphate backbone and the base.     

Molecular modeling of conformational properties of oligodepsipeptides

A depsipeptide is a chemical structure consisting of both ester and amide bonds. Quantum mechanics calculations have been performed to investigate the conformational properties of a depsidipeptide in the gas and solution phases. Similar to an alanine dipeptide, the depsidipeptide exhibits a strong preference for the polyproline II (PPII) helical conformation. Meanwhile, due to the changes in the intramolecular interaction, the propensity for beta-sheets and alpha-helices diminishes while an unusual inclination for the (phi,psi) = (-150 degrees ,0 degrees ) conformation was observed. A molecular mechanics model has been developed for polydepsipeptides based on the quantum mechanical study. Both simulated annealing and replica exchange molecular dynamics simulations have been carried out on oligodepsipeptide sequences with alternating depsi and natural residues in solution. Novel helical structures have been indicated from the simulations. When glycine is used as the alternating natural amino acid residue, the PPII conformation of a depsi residue stabilizes the peptide into a right-handed helical structure while the alpha-helical conformation of the depsi residue favors an overall left-handed helical structure. The free energy analysis indicates that both the left- and the right-handed helices are equally likely to exist. When charged lysine is introduced as the alternating natural residue, however, it is found that the depsipeptide sequence prefers an extended conformation as in PPII. Our results indicate that the depsipeptide is potentially useful in designing protein mimetics with controllable structure, function, and chemistry.     

Spatial structure of gramicidin A in organic solvents. 1H-NMR analysis of conformation heterogeneity in ethanol

Structural features of double helices formed by polypeptides with alternating L- and D-amino acid residues were analysed. It was found that the map of short distances (less than 4 A) between protons of the two backbones is unique for each double helix type and even its fragment implies unambiguously parameters of the helix (i.e. parallel or antiparallel, handedness, pitch of helix, relative shift of polypeptide chains). By analysis of two-dimensional 1H-NMR spectra (COSY, RELSY, HOHAHA, NOESY), proton resonances of [Val1]gramicidin A (GA) in the ethanol solution were assigned. The results obtained show that the solution contains five stable conformations of GA in comparable concentrations. Monomer of GA is in a random coil conformation. Specific maps of short interproton distances for the other four species (1-4) were obtained by means of two dimensional nuclear Overhauser effect spectroscopy. The maps as well as spin-spin couplings of the H-NC alpha-H protons and solvent accessibilities of the individual amide groups correspond to four types of double helices pi pi LD 5,6 with 5.6 residues per turn. The double helices are related to the Veatch species 1-4 of GA. Species 1 and 2 are left-handed parallel double helices increase increase pi pi LD 5,6 with different relative shift of polypeptide chains. Species 3 is a left-handed antiparallel double helix increase decrease pi pi LD 5,6 and species 4 is a right-handed parallel double helix increase increase LD 5,6. In the dimers helices are fixed by the maximum number (28) of interbackbone hydrogen bonds NH...O = C possible for these structures. Species 1, 3 and 4 have C2 symmetry axes. Relationship between gramicidin A spatial structures induced by various media is discussed.     

Intervening sequences in human fetal globin genes adopt left-handed Z helices

The large intervening sequences ( IVS2 ) of three human fetal globin genes contain tracts of alternating purine-pyrimidine sequences approximately 40-60 base pairs in length which adopt left-handed Z DNA helices under the influence of negative supercoiling. The amount of negative supercoiling (approximately 0.045) required for the right- to left-handed transitions is within the physiological range. The structural aberrations between the right- and left-handed helices were mapped by sequencing the S1 nuclease cleavage sites. Two-dimensional gel electrophoretic analyses of the supercoil-induced relaxation served to characterize the type and length of left-handed structure. Furthermore, binding studies with several types of antibodies confirmed the presence of left-handed helices. Since these simple sequences appear to be hotspots for recombination and gene conversion, unusual DNA conformations may participate in genetic expression.     

Structural study of poly(beta-benzyl-L-aspartate) monolayers at air-liquid interfaces.

As normally studied, in the solid state or in solution, poly(beta-benzyl-L-aspartate) (PBLA) differs from the other helical polyamino acids in that its alpha-helical conformation is most stable in the left-handed rather than in the right-handed form. The slightly lower energy per residue for the left-handed form in PBLA is easily perturbed, however. The helical screw sense can be inverted in a polar environment and, upon heating above 100 degrees C, a distorted left-handed helix or omega-helix is irreversibly formed. From external reflectance Fourier transform infrared measurements at the air-water interface, the conformation of PBLA in the monolayer state is directly established for the first time. The infrared frequencies of the amide bands suggest that right-handed alpha-helices are formed on the surface of water immediately after spreading the monolayers and independently of the polypeptide conformational distribution in the spreading solution. The right-handed helical form prevails throughout the slow compression of the Langmuir monolayers to collapsed films. The helical screw sense can be reversed by lowering the polarity of the aqueous phase. In addition, an alternate conformation similar to the omega-helix forms on addition of small amounts of isopropanol to the aqueous subphase, and appears to be an intermediate in the helix-helix transition.     

Structures for polyinosinic acid and polyguanylic acid

X-ray-diffraction analysis of oriented, partially crystalline fibres of polyinosinic acid has resulted in a new molecular model. This model consists of four identical polynucleotide chains related to one another by a fourfold rotation axis. The coaxial helices are righthanded (screw symmetry 23(2)) and have an axial translation per residue h=0.341nm and a rotation per residue t=31.3 degrees . Incorporated in the model are standard bond lengths, bond angles and C-2-endo furanose rings. The nucleotide conformation angles, determined by linked-atom least-squares methods, are orthodox and the fit with the X-ray intensities is good. Each hypoxanthine base is linked to two others by hydrogen bonds involving O-6 and N-1. Further stability may arise from intrachain hydrogen bonds between each ribose hydroxyl group and the phosphate oxygen O-3. If guanine were to be substituted for hypoxanthine in an isogeometrical molecular structure, additional hydrogen bonds could be made between every N-2 and N-7.     

Energy-minimized conformation of gramicidin-like channels. I. Infinitely long poly-(L,D)-alanine beta 6.3-helix.

The energy-minimized conformation of an infinitely long poly-(L,D)-alanine in single-stranded beta 6.3-helix was calculated by the molecular mechanics method. When energy minimization was started from a wide range of initial geometries, six optimized conformations were obtained and identified as the right- and left-handed counterparts of the beta 4.5-, beta 6.3-, and beta 8.2-helices. It was found that their conformation energies increase in this order, the beta 4.5-helix having the lowest energy. The backbone dihedral angles of the energy-minimized beta 6.3-helix were: phi L = -116 degrees (or -131 degrees), psi L = 122 degrees (or 111 degrees), phi D = 131 degrees (or 116 degrees), psi D = -111 degrees (or -122 degrees), omega L = 173 degrees (or 173 degrees), and omega D = -173 degrees (or -173 degrees) for the right-handed (or left-handed) helix. This helix was composed of 6.30 residues/turn with a pitch of 4.97 A. All the alpha-carbons of L- and D-configurations appeared on one common circular helix. Interestingly, small deviations (approximately 7 degrees) of the peptide bonds from the planar structure caused a considerable lowering of the conformation energy, and, at the same time, they produced more favorable fitting of the hydrogen bonds; the carbonyl oxygens and the nearest-neighbor alpha-hydrogens also took more favorable relative positions.     

Effects of thioamide substitution for the enkephalin conformation. Crystal structure of Boc-Tyr-Gly-Gly-Phe psi [CSNH]Leu-OBzl

The crystals of Boc-Tyr-Gly-Gly-Phe psi[CSNH]Leu-OBzl monohydrate (C40H51N5O8S.H2O), a monothionated Leu-enkephalin analogue, were obtained with space group P2(1), a = 12.616(3), b = 9.347(2), c = 18.548(5) A, beta = 96.31(4) degrees. The structure was elucidated by X-ray diffraction analysis, and refined to the R value of 0.091 for the observed 3294 reflections. Two antiparallel molecules related by a pseudo twofold symmetry were stabilized to each other by four intermolecular hydrogen bonds. The molecular conformation was bent at the Phe residue, and the extended moiety of the Tyr-Gly-Gly fragment was almost perpendicular to that of the Phe-Leu residues. Consequently the molecule, as a whole, formed an L-shape conformation with a slightly left-handed helicity.