Computer building of β-helical polypeptide models

A general method is presented for computing the atomic coordinates of helices in which a dipeptide is the repeating unit. The method will generate both single- and double-stranded model helices having idealized bond lengths and angles, and any arbitrary, user-specified, pitch and number of residues per turn. The variation of inter- and intrastrand hydrogen bonds with pitch and number of residues per turn can thus be examined. An application of the method is the construction of a β-helix having pitch of 6.3 Å per turn and 4.85 residues per turn, a model which can pack nicely into the unit cell of crystals of cation-bound gramicidin A.     

Stabilizing effects of 2-methylalanine residues on β-turns and α-helices

¹³C-, ¹H-nmr, CD, and x-ray crystallography revealed β-turns of type III for Boc-Gly-L-Ala-Aib-OMe, Boc-L-Ala-Aib-L-Ala-OMe; the 3₁₀-helix for Boc-Aib-L-Ala-Aib-L-Ala-Aib-OMe; and antiparallel arranged α-helices for Boc-L-Ala-Aib-Ala-Aib-Ala-Glu(OBzl)-Ala-Aib-Ala-Aib-Ala-OMe. An N-terminal rigid α-helical segment is found in the polypeptide antibiotics alamethicin, suzukacillin, and trichotoxin. The α-helix dipole is essential for their voltage-dependent pore formation in lipid bilayer membranes, which is explained by a flip-flop gating mechanism based on dipole–dipole interactions of parallel and antiparallel arranged α-helices within oligomeric structures.     

Vibrational analysis of peptides,polypeptides, and proteins. XXIV. Conformation of poly(α-aminoisobutyric acid)

Raman and polarized ir spectra have been obtained on built-up monomolecular films of poly(α-aminoisobutyric acid), and analyzed in the context of normal mode calculations on 3₁₀-, α-, and α′-helix conformations of this molecule. The average discrepancy between observed and calculated frequencies is significantly smaller for the 3₁₀-helix than for the other structures. This, together with the more satisfactory explanation of several special features of the spectra, indicates that this polypeptide adopts a 3₁₀-helix conformation in such thin films.     

Further characterization of the kinetic folding intermediate of αα-tropomyosin and of its 142–281 subsequence

The backbone CD spectrum from 250 to 212 nm for the kinetic folding intermediate of αα-tropomyosin (αα-Tm) and nonpolymerizable αα-Tm was obtained. The spectrum shows that the intermediate is indeed α-helical with about 70% of the equilibrium α-helix content. Subsequence ₁₄₂Tm₂₈₁ of the α-tropomyosin chain has five tyrosine residues (at positions 162, 214, 221, 261, 267). Stopped flow CD at the negative peak in the tyrosine spectral region (280 nm) shows that any tyrosine residues that contribute to the spectrum in the region have already reached their final state in the fast phase of folding ( < 0.04 s). © 1993 John Wiley & Sons, Inc.     

Relationship of sidechain hydrophobicity and α-helical propensity on the stability of the single-stranded amphipathic α-helix

The aim of the present investigation is to determine the effect of α-helical propensity and sidechain hydrophobicity on the stability of amphipathic α-helices. Accordingly, a series of 18-residue amphipathic α-helical peptides has been synthesized as a model system where all 20 amino acid residues were substituted on the hydrophobic face of the amphipathic α-helix. In these experiments, all three parameters (sidechain hydrophobicity, α-helical propensity and helix stability) were measured on the same set of peptide analogues. For these peptide analogues that differ by only one amino acid residue, there was a 0.96 kcal/mole difference in α-helical propensity between the most (Ala) and the least (Gly) α-helical analogue, a 12.1-minute difference between the most (Phe) and the least (Asp) retentive analogue on the reversed-phase column, and a 32.3°C difference in melting temperatures between the most (Leu) and the least (Asp) stable analogue. The results show that the hydrophobicity and α-helical propensity of an amino acid sidechain are not correlated with each other, but each contributes to the stability of the amphipathic α-helix. More importantly, the combined effects of α-helical propensity and sidechain hydrophobicity at a ratio of about 2:1 had optimal correlation with α-helix stability. These results suggest that both α-helical propensity and sidechain hydrophobicity should be taken into consideration in the design of α-helical proteins with the desired stability.     

Kinetic steps for α-helix formation

The kinetics of α-helix formation in polyalanine and polyglycine eicosamers (20-mers) were examined using torsional-coordinate molecular dynamics (MD). Of one hundred fifty-five MD experiments on extended (Ala)₂₀ carried out for 0.5 ns each, 129 (83%) formed a persistent α-helix. In contrast, the extended state of (Gly)₂₀ only formed a right-handed α-helix in two of the 20 MD experiments (10%), and these helices were not as long or as persistent as those of polyalanine. These simulations show helix formation to be a competition between the rates of (a) forming local hydrogen bonds (i.e. hydrogen bonds between any residue i and its i + 2, i + 3, i + 4, or i + 5th neighbor) and (b) forming nonlocal hydrogen bonds (HBs) between residues widely separated in sequence. Local HBs grow rapidly into an α-helix; but nonlocal HBs usually retard helix formation by “trapping” the polymer in irregular, “balled-up” structures. Most trajectories formed some nonlocal HBs, sometimes as many as eight. But, for (Ala)₂₀, most of these eventually rearranged to form local HBs that lead to α-helices. A simple kinetic model describes the rate of converting nonlocal HBs into α-helices. Torsional-coordinate MD speeds folding by eliminating bond and angle degrees of freedom and reducing dynamical friction. Thus, the observed 210 ps half-life for helix formation is likely to be a lower bound on the real rate. However, we believe the sequential steps observed here mirror those of real systems. Proteins 33:343–357, 1998. © 1998 Wiley-Liss, Inc.     

A CD study of the α-helix nucleation hypothesis

One of the dilemmas in predicting the secondary structure of proteins from their amino acid propensity for a given conformation is the presence of all amino acids in all types of secondary structure, regardless of their propensity for that specific structure. One explanation is the nucleation hypothesis that only a few residues with a strong propensity for the secondary structure, such as the α-helix structure, initiates its formation and propagates the structure through indifferent sequences until strong breakers terminate the growth on both ends. Eight 15-mer peptides were studied to examine the α-helix nucleation hypothesis. The nucleation sequence of VAEAK, with high helix propensity, was mixed with an indifferent sequence of TSDSR in all possible permutations. From the percent α-helix structure derived from the CD at 222 nm, it appears that helicity does not propagate through the indifferent sequence. © 1994 John Wiley & Sons, Inc.     

Thermodynamic model of secondary structure for α-helical peptides and proteins

A thermodynamic model describing formation of α-helices by peptides and proteins in the absence of specific tertiary interactions has been developed. The model combines free energy terms defining α-helix stability in aqueous solution and terms describing immersion of every helix or fragment of coil into a micelle or a nonpolar droplet created by the rest of protein to calculate averaged or lowest energy partitioning of the peptide chain into helical and coil fragments. The α-helix energy in water was calculated with parameters derived from peptide substitution and protein engineering data and using estimates of nonpolar contact areas between side chains. The energy of nonspecific hydrophobic interactions was estimated considering each α-helix or fragment of coil as freely floating in the spherical micelle or droplet, and using water/cyclohexane (for micelles) or adjustable (for proteins) side-chain transfer energies. The model was verified for 96 and 36 peptides studied by ¹H-nmr spectroscopy in aqueous solution and in the presence of micelles, respectively ([set I] and [set 2]) and for 30 mostly α-helical globular proteins ([set 3]). For peptides, the experimental helix locations were identified from the published medium-range nuclear Overhauser effects detected by ¹H-nmr spectroscopy. For sets 1, 2, and 3, respectively, 93, 100, and 97% of helices were identified with average errors in calculation of helix boundaries of 1.3, 2.0, and 4.1 residues per helix and an average percentage of correctly calculated helix—coil states of 93, 89, and 81%, respectively. Analysis of adjustable parameters of the model (the entropy and enthalpy of the helix—coil transition, the transfer energy of the helix backbone, and parameters of the bound coil), determined by minimization of the average helix boundary deviation for each set of peptides or proteins, demonstrates that, unlike micelles, the interior of the effective protein droplet has solubility characteristics different from that for cyclohexane, does not bind fragments of coil, and lacks interfacial area. © 1997 John Wiley & Sons, Inc. Biopoly 42: 239–269, 1997     

Solid-state modifications of poly(γ-ethyl-L-glutamate)

Several modification of the arrangements of α-helical molecules were found in the solid films of poly (γ-ethyl-L -glutamate), depending on the casting solvent and the temperature. The helical conformation is somewhat looser than the normal 18-residue, 5-turn α-helix. Using x-ray diffraction, the types of molecular arrangements were classified into tetragonal, pseudohexagonal, and hexagonal ones. Tetragonal packing was observed in the filmm (form T) prepared by casting the solution in trifluorethanol or dichlorethane. The sample obtained from chloroform solution is a well-ordered, pseudohexagonal modification (form I). Forms I and T change into a poorly crystalline form III by annealing at temperatures above 130° C. It is particularly noteworthy that the less-ordered form III exhibits a thermoreversible transition around 110°C into a well-ordered form H with the hexagonal molecular packing.     

13C-nmr chemical shift and conformation of L-alanine residues incorporated into poly(β-benzyl L-aspartate) in the solid state

¹³C-nmr spectra of poly(β-benzyl L-aspartate) containing ¹³C-enriched [3-¹³C]L -alanine residues in the solid state were recorded by the cross polarization–magic angle spinning method, in order to elucidate the conformation-dependent ¹³C chemical shifts of L -alanine residues taking various conformations such as the antiparallel β-sheet, the right-handed α-helix, the left-handed α-helix, and the left-handed ω-helix forms obtained by appropriate treatment. The latter two conformations for L -alanine residues are achieved when L -alanine residues are incorporated into poly(β-benzyl L -aspartate). We found that the alanine C_β carbon show significant ¹³C chemical shift displacement depending on conformational change, and gave the ¹³C chemical shift values at about 17 ppm for the left-handed ω-helix, 14 ppm for the left-handed α-helix, 15.5 ppm for the right-handed α-helix, and 21.0 ppm for the antiparallel β-sheet relative to tetramethylsilane.     

Vibrational analysis of peptides,polypeptides, and proteins. XVIII. Conformational sensitivity of the α-helix spectrum: αI- and αII-Poly(L-alanine)

The α_II-helix (? = ?70.47°, ψ = ?35.75°) is a structure having the same n and h as the (standard) α_I-helix (? = ?57.37°, ψ = ?47.49°). Its conformational angles are commonly found in proteins. Using an improved α-helix force field, we have compared the vibrational frequencies of these two structures. Despite the small conformational differences, there are significant predicted differences in frequencies, particularly in the amide A, amide I, and amide II bands, and in the conformation-sensitive region below 900 cm^?1. This analysis indicates that α_II-helices are likely to be present in bacteriorhodopsin [Krimm, S. & Dwivedi, A. M. (1982) Science 216 , 407–408].     

α-Helical assembly of biologically active peptides and designed helix bundle protein

The formation of α-helical assembly by complexing biologically active peptides with de novo designed protein is described. The de novo designed protein described here is a cystinelinked 4-helix bundle protein constructed with 80 amino acid residues and forms a hydrophobic core region surrounded by 4 helices in an aqueous solution. The biologically active peptides, such as melittin and human growth hormone releasing factor, contain the sequences that are able to form amphiphilic helices. These peptides alone do not form the α-helix structure in a diluted solution with low ion strength. But on mixing with the designed helix bundle protein, the peptides are strongly bound to the protein with the induction of α-helical structure in the biologically active peptides. The content of induced α-helix is in accord with that estimated from the amphiphilic sequence. The results mean that a novel architecture composed of α-helices is formed. Fluorescent and temperature-scanning measurement revealed that the α-helical assembly is constructed with hydrophobic interaction. Also, it is shown by means of fluorescence depolarization that the assembly has a compact globular form corresponding to 1 : 1 complex. © 1994 John Wiley & Sons, Inc.     

Dissecting α-helices: Position-specific analysis of α-helices in globular proteins

An analysis of the amino acid distributions at 15 positions, viz., N“, N′, Ncap, N1, N2, N3, N4, Mid, C4, C3, C2, C1, Ccap, C′, and C” in 1,131 α-helices reveals that each position has its own unique characteristics. In general, natural helix sequences optimize by identifying the residues to be avoided at a given position and minimizing the occurrence of these avoided residues rather than by maximizing the preferred residues at various positions. Ncap is most selective in its choice of residues, with six amino acids (S, D, T, N, G, and P) being preferred at this position and another 11 (V, I, F, A, K, L, Y, R, E, M, and Q) being strongly avoided. Ser, Asp, and Thr are all more preferred at Ncap position than Asn, whose role at helix N-terminus has been highlighted by earlier analyses. Furthermore, Asn is also found to be almost equally preferred at helix C-terminus and a novel structural motif is identified, involving a hydrogen bond formed by N^δ2 of Asn at Ccap or C1 position, with the backbone carbonyl oxygen four residues inside the helix. His also forms a similar motif at the C-terminus. Pro is the most avoided residue in the main body (N4 to C4 positions) and at C-ter-minus, including Ccap of an α-helix. In 1,131 α-helices, no helix contains Pro at C3 or C2 positions. However, Pro is highly favoured at N1 and C′. The doublet X-Pro, with Pro at C′ position and extended backbone conformation for the X residue at Ccap, appears to be a common structural motif for termination of α-helices, in addition to the Schellman motif. Main body of the helix shows a high preference for aliphatic residues Ala, Leu, Val, and Ile, while these are avoided at helix termini. A propensity scale for amino acids to occur in the middle of helices has been obtained. Comparison of this scale with several previously reported scales shows that this scale correlates best with the experimentally determined values. Proteins 31:460–476, 1998. © 1998 Wiley-Liss, Inc.     

Structural studies of poly(α-aminoisobutyric acid)

The electron-diffraction pattern of an oriented film of poly(α-aminoisobutyric acid) in the 3₁₀-helical conformation has been analyzed. The conformation was obtained by a linked-atom least-squares refinement of average values from crystal structures. Specimens treated with dichloracetic acid, to improve their crystallinity, conform to space group R3c with a = 21.8 Å, c = 5.95 Å. The structure contains channels that can accommodate molecules of dichloracetic acid. One molecule of acid per six residues fills the channels, and the R-factor then is 34% using 23 reflections. Ir evidence is presented to show that the acid may hydrogen bond to the peptide groups. Some reflections occasionally observed on the diffraction photographs are attributed to a 15/4 α-helix. The significance of the results is considered in relation to Aib-containing peptides.     

Helix → β conformational transition of poly(L-lysine) on dye binding

Binding of an azo dye, 4′-dimethyl amino azo benzene-4-carboxylic acid (DAAC) to poly(L -lysine) (PLL) in basic aqueous solutions at 20°C has been studied. The azo dye was found to bind to PLL when its side-chain amino groups are in the uncharged state. This was found to be a cooperative phenomenon, and the binding constant and cooperativity factor have been evaluated. The binding of the dye was found to result in a conformational transition of PLL from the α-helix to the β-sheet, which in turn helps in increased dye binding.     

Morphology and structure of γ-benzyl-l-glutamate copolymerized with l-phenylalanine, l-valine and l-alanine

Observation of random copolypeptides of γ-benzyl-l-glutamate with l-phenylalanine, l-valine and l-alanine was carried out in an electron microscope with samples cast from dilute solution. The relationship between the morphology and the molecular conformation in solution was studied with mixed solvents composed of chloroform and trifluoroacetic acid; these show a preference for α-helix and random coil, respectively. From the solutions in which molecules take α-helical conformation, fibrous films of nematic structure were formed. From random coil solutions discrete precipitates with folded molecules such as lamellar single crystals, piles of lamellae and structureless particles were formed. A copolypeptide containing l-valine in sufficiently large quantity to form β-structure also showed a variation in morphology with solvent, from films to discrete precipitates. It is suggested that the change in stiffness of the molecules contributes to the morphological variation.     

Conformational flexibility in a small globular hormone: X-ray analysis of avian pancreatic polypeptide at 0.98-Å resolution

The 36-amino acid avian pancreatic polypeptide has been studied by x-ray analysis at 0.98-Å resolution and refined using a restrained least-squares technique to an agreement factor of 15.6%. The polypeptide, which has a compact globular structure with a hydrophobic core, comprises a polyproline–like helix (residues 2–8) and an α-helix (residues 14–32). The molecule forms symmetrical dimers linked through zinc atoms in the crystal lattice. The high-resolution analysis defines sequence-dependent distortions in the α-helical parameters due to hydrogen bonding of water molecules and side chains. The thermal parameters indicate an increased flexibility of the main chain at the turn between the helices and in the C-terminal residues. For the first time, six-parameter anisotropic thermal ellipsoids have been refined for each atom; these define the directions of the molecular motions in the polypeptide, indicating concerted vibrations. The physiological roles of conformation, flexibility, and dynamics of this polypeptide hormone are discussed.     

ω-Helices in Proteins

A modification of the α-helix, termed the ω-helix, has four residues in one turn of a helix. We searched the ω-helix in proteins by the HELFIT program which determines the helical parameters—pitch, residues per turn, radius, and handedness—and p = rmsd/(N ? 1)^1/2 estimating helical regularity, where “rmsd” is the root mean square deviation from the best fit helix and “N” is helix length. A total of 1,496 regular α-helices 6–9 residues long with p ≤ 0.10 Å were identified from 866 protein chains. The statistical analysis provides a strong evidence that the frequency distribution of helices versus n indicates the bimodality of typical α-helix and ω-helix. Sixty-two right handed ω-helices identified (7.2% of proteins) show non-planarity of the peptide groups. There is amino acid preference of Asp and Cys. These observations and analyses insist that the ω-helices occur really in proteins.     

Electronic spectrum,optical activity,and structure of the acridine orange complex with poly-α,L-glutamic acid

The electronic absorption and circular dichroism spectra of the complex formed by acridine orange with poly-α,L -glutamic acid in the α-helix conformation have been measured in aqueous solution over a range of glutamate residue-to-dye ratios. Three Cotton effects (circular dichroism bands) associated with the long wavelength absorption band of acridine orange at 4950 A. are induced by complex formation between the dye and the polypeptide, and further circular dichroism bands are observed in the ultraviolet region associated with the 2700 A., but not with the 2950 A. absorption band of the dye. The induced optical activity is found to be relatively insensitive to the glutamate residue-to-dye ratio and to be more dependent upon the ionic strength of the solution. By Measuring the circular dichroism spectrum of the complex in aqueous solution under streaming conditions with the light propagated along the direction of flow the observed circular dichroism bands are assigned to electronic transitions polarized parallel or perpendicular to the axis of the polypeptide α-helix. From the spectroscopic data it is inferred that the dye aggregate in the L -PGA–AO complex has the form of a left-handed superhelix bound to the core of the right-handed α-helix of poly-α,L -glutamic acid. It is shown that the longer and the shorter of the in-plane axes of the dye molecule are probably orientated respectively at a small angle, and radially, with respect to the axis of the α-helix in the complex.     

Conservation of γ-Aminobutyric Acid Type A Receptor α6 Subunit Gene Expression in Cerebellar Granule Cells

Abstract: The γ-aminobutyric acid type A receptor cDNAs encoding the α6 subunit homologues from chicken and goldfish have been cloned and sequenced. These proteins exhibit 83 and 75% identity, respectively, to the rat α6 polypeptide. In situ hybridization has demonstrated that, as in mammals, the avian and teleost fish α6 subunit genes are predominately expressed in cerebellar granule cells. Correspondingly, flunitrazepam-nondisplaceable binding of [³H]Ro 15-4513 (a benzodiazepine partial inverse agonist), which is a major characteristic of γ-aminobutyric acid type A receptors that contain the α6 polypeptide, is also mainly found for cerebellar granule cells of fish and chick. The conservation of this expression pattern suggests that γ-aminobutyric acid type A receptors possessing the α6 subunit are of fundamental importance for cerebellar function and that the corresponding gene regulatory elements, e.g., granule cell-specific enhancers, have also been conserved.