Conformational aspects of polypeptides. XVIII. Conformational studies of oligopeptides derived from L-alanine

The conformations of oligopeptides derived from L -alanine and co-oligomers of L -alanine with γ-methyl-L -glutamate were studied in several solvents via optical rotation and far-ultraviolet spectroscopy. Calculated values for optical rotation based on model compounds were compared with experimental values for the oligomers. In trifluoroacetic and dichloroacetic acids, the oligomers and co-oligomers exhibit rotations in close agreement with predicted values based on model compounds. Thus, in these solvents only nonhelical conformations exist. In trifluoroethanol, the experimental points of molar rotation for the pentamer and larger oligomers no longer follow the predicted values. In addition, the benzyloxycarbonyl and acetyl cononamers show b₀ values of about ?150, which demonstrates the presence of stable helical forms for these peptides. We also examined the molar extinction coefficients of oligopeptides in the 190 mμ region and determined the values for nonhelical peptide groups. The molar extinction coefficients per amide bond for the benzyloxycarbonyl and acetyl cononamers show extensive hypo-chromism, once again indicating the presence of stable helices for these compounds in trifluoroethanol.     

Monte Carlo generation of polypeptide random coil conformations; the persistence vector and the chain vector distribution

Polypeptide random coil conformations of various chain lenghts (N = 5, 10, 20, 40, 80 peptide units) are generated by a Monte Carlo procedure. The characteristic ratio obtained for the sets of generated conformations is identical with the exact value calculated with the average transformation matrix procedure, indicating the equivalence of the two treatments. On the basic of the generated sets of conformations the length and direction of the persistence vector (the averaged chain vector expressed in the reference frame of the first two skeletal bonds) are investigated for various chain lengths. The radial distribution function for the chain vector shows the length of the chain vector for small polypeptides (N = 5, 10) not to deviate far from its most probable value. Also for larger chains up to chains of 80 peptide units very significant deviations from a gaussian distribution are observed.The distribution of the length of the vector connecting the remote end of the chain with the end of the persistence vector exhibited behavior much doser to the gaussian approximation, an improvement especially significant for the short chains.     

Characterization of multiple bends in proteins

The concept of bends or chain reversals [nonhelical dipeptide sequences in which the distance R₃ (i,i+3) between the C^α atoms of residues i and i+3 is ≦ 7.0 Å] has been extended to define double bends as tripeptide sequences, not in an α-helix, in which two successive distances R₃(i,i+3) and R₃ (i+1, i+4) are both ≦7.0 Å, with analogous definitions for higher-order multiple bends. A sample of 23 proteins, consisting of 4050 residues, contains 235 single, 58 double, and 11 higher-order multiple bends. Multiple bends may occur as combinations of the “standard” type I, II, and III chain reversals (as well as their mirror images), but usually they require distortions from these well-defined conformations. The frequency of occurrence of amino acids often differs significantly between single and multiple bends. The probability distribution of R₃ distances does not differ in single and multiple bends. However, R₄ (the distance between the C^α atoms of residues i and i+4) in multiple bends is generally shorter than in tripeptide sequences containing single bends. The value of R₄ in many multiple bends is near those for α-helices. In some other multiple bends, R₄ is even shorter, indicating that these structures are very compact. The signs of the dihedral angles about the virtual bonds connecting C^α atoms and the values of curvature and torsion, as defined by means of differential geometry, indicate that there is a preference for single and multiple bends to be right-handed (like an α-helical sequence, for example) and that there is a strong tendency to conserve the handedness in both single-bend components of many multiple bends. These often have a strong resemblance to distorted single turns of an α-helix and do not constitute chain reversals. Double bends, in which the signs of two successive virtual-bond dihedral angles differ, have conformations that are very different from an α-helix. They act as chain reversals occuring over three residues. These chain reversals have not been described previously. Multiple bends may play an important role in protein folding because they occur fairly frequently in proteins and cause major changes in the direction of the polypeptide chain.     

Stereochemical studies on cyclic peptides. IX. Conformational studies on cyclic tetrapeptides containing alternating cis and trans peptide units

Conformational analyses of cyclic tetrapeptides consisting of alternating cis and trans peptide units have been made using contact criteria and energy calculations. This study has been restricted to those structures having a symmetry element in the backbone ring, such as a twofold axis (d) or a center of inversion (i). There are five main results. (1) There are two distinct types of conformations, which are stereochemically favorable corresponding to each of twofold and inversion-symmetrical structures, designated as d₁, d₂ (for twofold symmetrical) and i₁, i₂ (for inversion-symmetrical). Among these, the i₁ type has the lowest energy when glycyl residues occur at all four α-carbon atoms. (2) With the glycyl residue at all four α-carbon atoms, methyl substitution at the cis peptide nitrogen atoms is possible in all the four types, whereas the substitution at trans peptide nitrogen atoms is possible only for the i₁ type. Thus only in the i₁ type can all the nitrogen atoms be methylated simultaneously. The conformation of the molecule in the crystal structure of cyclotetrasarcosyl belongs to the i₁ type. (3) When alanyl residues occur at all four α-carbon atoms, the possible symmetrical type is dependent on the enantiomorphic form and the actual sequence of the alanyl residues. (4) The methyl substitution at peptide nitrogen atoms for cyclic tetrapeptides having alanyl residues causes more stereochemical restriction in the allowed conformations than with glycyl residues. (5) The prolyl residue can be incorporated favorably at the cis-trans junction of both d and i types of structures. The results of the present study are compared with the data on cyclic tetrapeptides available from the crystal structure and nmr studies. The results show an overall agreement both regarding the type of symmetry and the conformational parameters.     

Peptide design: Crystal structure of a helical peptide module attached to a potentially nonhelical amino terminal segment

The peptide Boc-Gly-Dpg-Gly-Val-Ala-Leu-Aib-Val-Ala-Leu-OMe has been designed to examine the structural consequences of placing a short segment with a low helix propensity at the amino terminus of a helical heptapeptide module. The Gly-Dpg-Gly segment is a potential connecting element in the synthetic construction of a helix-linker-helix motif. Crystal parameters for the peptide are P2₁, a = 8.651(3) Å, b = 46.826(13) Å, c = 16.245 Å, β = 90.13(3)*, Z = 4; 2 independent molecules/asymmetric unit. The structure reveals almost identical conformations for the two independent molecules. The backbone is completely helical for residues 2–9, with one 4 → 1 hydrogen bond and six 5 → 1 hydrogen bonds. The α,α-di-n-propylglycine residue adopts a helical conformation. Gly(1) adopts an extended conformation resulting in a nonhelical N-terminus, with the Boc group swinging away from the helix. The lateral association of helices in the b axis direction is unusual in that the helix axes are directed up or down (parallel or antiparallel) by pairs: ↓↓↑↑↓↓, etc. © 1996 John Wiley & Sons, Inc.     

Theoretical studies on peptidoglycans. II. Conformations of the disaccharide–peptide subunit and the three-dimensional structure of peptidoglycan

Possible conformations of the disaccharide–peptide subunit of peptidoglycan (of Staphylococcus aureus or Micrococcus luteus) have been studied by an energy-minimization procedure. The favored conformation of the disaccharide N-acetyl-glucosaminyl-β(1–4)-N-acetylmuramic acid (NAG-NAM) is different from that of cellulose or chitin; this disagrees with the assumption of earlier workers. The disaccharide–peptide subunit favors three types of conformations, among which two are compact and the third is extended. All these conformations are stabilized by intramolecular hydrogen bonds. Based on these conformations of the subunit, two different models are proposed for the three-dimensional arrangement of peptidoglycan in the bacterial cell wall.     

Studies on the conformation of amino acids. X. Conformations of norvalyl, leucyl and aromatic side groups in a dipeptide unit

Backbone-side group conformations of amino acid residues including one or two δ-carbons in the side group have been investigated. Conformational energies of norvalyl, leucyl, phenylalanyl, tyrosyl, tryptophenyl, and histidinyl side groups in a dipeptide unit have been calculated by using classical energy expressions. The side group conformations about the C^α—C^β and C^β—C^γ bonds are restricted to specific values of the respective rotational angles. Thus, most favourable positions of γ- and δ-atoms of a linear side-chain (norvalyl) are restricted to (γ_I, δ_II) (γ_II, δ_I), (γ_II, δ_II), (γ_III, δ_II), and (γ_III, δ_III), whereas those of the side-chain branching at a sp³ γ-atom (leueyl) are further restricted. It is also shown that there is a definite correlation between the orientations of the two peptide planes and that of the planar group of the aromatic side chain of phenylalanyl type residues. The studies bring out an important fact that while the γ-atoms have definite and characteristic effects on the backbone rotational angles ? and ψ, the δ atoms and beyond have no effects on the preferred ? and ψ values. Thus, the preferred backbone conformations are independent of the preferred side group conformations beyond the γ-atom and vice versa. The observed ?, ψ, χ¹, and χ² values of amino acids, simple peptides, and of the three protein molecules lysozyme, myoglobin, and chymotrypsin have been compared with the theoretical predictions, and the agreement is found to be excellent.     

Proline-induced constraints in alpha-helices

The disrupting effect of a prolyl residue on an α-helix has been analyzed by means of conformational energy computations. In the preferred, nearly α-helical conformations of Ac-Ala₄-Pro-NHMe and of Ac-Ala₇-Pro-Ala₇-NHMe, only the residue preceding Pro is not α-helical, while all other residues can occur in the α-helical A conformation; i.e., it is sufficient to introduce a conformational change of only one residue in order to accommodate proline in a distorted α-helix. Other low-energy conformations exist in which the conformational state of three residues preceding proline is altered considerably; on the other hand, another conformation in which these three residues retain the near-α-helical A-conformational state (with up to 26° changes of their dihedral angles ? and ψ, and a 48° change in one ω from those of the ideal α-helix) has a considerably higher energy. These conclusions are not altered by the substitution of other residues in the place of the Ala preceding Pro. The conformations of the peptide chain next to prolyl residues in or near an α-helix have been analyzed in 58 proteins of known structure, based on published atomic coordinates. Of 331 α-helices, 61 have a Pro at or next to their N-terminus, 21 have a Pro next to their C-terminus, and 30 contain a Pro inside the helix. Of the latter, 16 correspond to a break in the helix, 9 are located inside distorted first turns of the helix, and 5 are parts of irregular helices. Thus, the reported occurrence of prolyl residues next to or inside observed α-helices in proteins is consistent with the computed steric and energetic requirements of prolyl peptides.     

Omega amino acids in peptide design: incorporation into helices

Incorporation of easily available achiral ω-amino acid residues into an oligopeptide results in substitution of amide bonds by polymethylene units of an aliphatic chain, thereby providing a convenient strategy for constructing a peptidomimetic. The central Gly-Gly segment of the helical octapeptide Boc-Leu-Aib-Val-Gly-Gly-Leu-Aib-Val-Ome(1) has been replaced by δ-amino-valeric acid (δ-Ava) residue in the newly designed peptide Boc-Leu-Aib-Val-δ-Ava-Leu-Aib-Val-OMe(2). ¹H-nmr results clearly suggest that in the apolar solvent CDCl₃, the δ-Ava residue is accommodated into a folded helical conformation, stabilized by successive hydrogen bonds involving the NH groups of Val(3), δ-Ava(4), and Leu(5). The δ-Ava residue must adopt a gauche-gauche-trans-gauche-gauche conformation along the central polymethylene unit of the aliphatic segment, a feature seen in an energy-minimized model conformation based on nmr parameters. The absence of hydrogen bonding functionalities, however, limits the elongation of the helix. In fact, in CDCl₃, the folded conformation consists of an N-terminal helix spanning residues 1–4, followed by a Type II β-turn at residues 5 and 6, whereas in strongly solvating media like (CD₃)₂SO, the unfolding of the N-terminal helix results in β-turn conformations at Leu(1)-Aib(2). The Type II β-turn at the Leu(5)-Aib(6) segment remains intact even in (CD₃)₂SO. CD comparisons of peptides 1 and 2 reveal a “nonhelical” spectrum for 2 in 2,2,2-trifluoroethanol. © 1996 John Wiley & Sons, Inc.     

Theoretical structure of the polar regions of the tropocollagen molecule

The theoretical conformations of poly (Gly-Ala-Glu) have been studied. This peptide was chosen as a model for the glycine led triads of the polar regions in collagen. The most favorable conformations are found to be based on the extended and folded forms of the 2₇ helix (2_7a and 2_7b). It is suggested that triple-strand structures of folded 2₇ helices exist in the polar collagen regions, and a structural model is presented which is in accord with recent ultrastructural deformation studies. It is a necessary condition for this structure that glycine occur in the lead of the peptide triads. In regions of the collagen molecule where the primary sequence does not contain triads (e.g., in the telopeptide region), random structures based on energy minimization of peptide neighbors are considered briefly. It seems likely that such regions contain an admixture of left-hand α, polyproline II, and 2₇ helix structures.     

Infrared absorption spectrum of keratin. II. Deuteration studies

A number of new bands have been found in the spectra of deuterated α- and β-keratin. In particular, the deuteration difference spectrum has been useful for the determination of frequencies of previously unsuspected bands. Thus it is found that the amide A and II frequencies of the nonhelical component in α-keratin occur at 3310–3320 and 1520 cm.^?1, respectively, and that both bands exhibit dichroism consistent with polypeptide chains which have a measure of alignment parallel to the fiber axis. The parallel dichroism of the amide II′ band of this phase at about 1435 cm.^?l also indicates some alignment. A nondichroic residual band at 1513 cm.^?1 in highly deuterated α-keratin is assigned to the tyrosine residue, as a sharp band near this frequency is found in the spectrum of polytyrosine. The ν‖(o) component of the α-helix is weak or absent in α-keratin, and the relatively sharp band observed near this frequency is thought to be due to the tyrosine residue, while its dichroism is caused by the presence of dichroic nonhelical material. A band near 1575 cm.^?1 in deuterated α- and β-keratin is tentatively assigned to the deuterated guanidinium group of arginine. This band becomes progressively more prominent during deuteration, which indicates that some arginine side chains arc slow to exchange, possibly because their environment prevents interaction with D₂O. The deuteration difference spectrum also shows that, contrary to earlier views, helical material in α-keratin exchanges significantly during the early stages of deuteration, although at a slower rate than the nonhelical material, while part of the nonhelical phase does not exchange as rapidly as had been thought and makes a contribution even after many hours or days.     

Aib residues in peptaibiotics and synthetic sequences: analysis of nonhelical conformations

The alpha-aminoisobutyric (Aib) residue has generally been considered to be a strongly helicogenic residue as evidenced by its ability to promote helical folding in synthetic and natural sequences. Crystal structures of several peptide natural products, peptaibols, have revealed predominantly helical conformations, despite the presence of multiple helix-breaking Pro or Hyp residues. Survey of synthetic Aib-containing peptides shows a preponderance of 3(10)-, alpha-, and mixed 3(10)/alpha-helical structures. This review highlights the examples of Aib residues observed in nonhelical conformations, which fall 'primarily' into the polyproline II (P(II)) and fully extended regions of conformational space. The achiral Aib residue can adopt both left (alpha(L))- and right (alpha(R))-handed helical conformations. In sequences containing chiral amino acids, helix termination can occur by means of chiral reversal at an Aib residue, resulting in formation of a Schellman motif. Examples of Aib residues in unusual conformations are illustrated by surveying a database of Aib-containing crystal structures.     

A Study of the Influence of Charged Residues on β-Hairpin Formation by Nuclear Magnetic Resonance and Molecular Dynamics

Chain reversals are often nucleation sites in protein folding. The β-hairpins of FBP28 WW domain and IgG are stable and have been proved to initiate the folding and are, therefore, suitable for studying the influence of charged residues on β-hairpin conformation. In this paper, we carried out NMR examination of the conformations in solution of two fragments from the FPB28 protein (PDB code: 1E0L) (N-terminal part) namely KTADGKT-NH₂ (1E0L 12–18, D7) and YKTADGKTY-NH₂ (1E0L 11–19, D9), one from the B3 domain of the protein G (PDB code: 1IGD), namely DDATKT-NH₂ (1IGD 51–56) (Dag1), and three variants of Dag1 peptide: DVATKT-NH₂ (Dag2), OVATKT-NH₂ (Dag3) and KVATKT-NH₂ (Dag4), respectively, in which the original charged residue were replaced with non-polar residues or modified charged residues. It was found that both the D7 and D9 peptides form a large fraction bent conformations. However, no hydrophobic contacts between the terminal Tyr residues of D9 occur, which suggests that the presence of a pair of like-charged residues stabilizes chain reversal. Conversely, only the Dag1 and Dag2 peptides exhibit some chain reversal; replacing the second aspartic-acid residue with a valine and the first one with a basic residue results in a nearly extended conformation. These results suggest that basic residues farther away in sequence can result in stabilization of chain reversal owing to screening of the non-polar core. Conversely, smaller distance in sequence prohibits this screening, while the presence oppositely-charged residues can stabilize a turn because of salt-bridge formation.     

Conformational energy calculations of enzyme-substrate complexes of lysozyme. I. Energy minimization of monosaccharide and oligosaccharide inhibitors and substrates of lysozyme

Conformational energy calculations were performed on monosaccharide and oligosaccharide inhibitors and substrates of lysozyme to examine the preferred conformations of these molecules. A grid-search method was used to locate all of the low-energy conformational regions for N-acetyl-β-D -glycosamine (NAG), and energy minimization was then carried out in each of these regions. Three stable positions for the N-acetyl group have ben located, in two of which the plane of the amide unit is normal to the mean plane of the pyranosyl ring. Nine local energy minima were located for the —CH₂OH group. The positions of the two vicinal cis —OH groups are determined predominantly by interactions with either the —CH₂OH or the N-acetyl group. The most stable conformations of β-N-acetylmuramic acid (NAM) were determined from the study of the low-energy conformations of NAG. In the two stable orientations for the D -lactic acid side chain, the O—C—C′ plane (C′ being the carbon atom of the terminal carboxyl group) was found to be normal to the mean plane of the pyranosyl ring. The low-energy positions for the COOH group of NAM are determined mainly by interactions with neighboring groups. The conformational preferences of the α-anomers of NAG and NAM were also explored. The calculated conformation of the N-acetyl group for α-NAG was quite close to that determined by X-ray analysis. Two of the three lowest energy conformations of α-NAM are similar to the corresponding conformations of the β-anomer. A third low-energy structure, which has a hydrogen bond from the NH of the N-acetyl group to the C?O of the lactic acid group, corresponds very closely to the X-ray structure of this molecule. The preferred conformations of the disaccharides NAG–NAG, NAM–NAG and NAG–NAM were also investigated. Two preferred orientations of the reducing pyranosyl ring relative to the nonreducing ring were found for all of these disaccharides, both of which are close to the extended conformation. In one of these conformations, a hydrogen bond can form between the OH group attached to C₃ of the reducing sugar and the ring oxygen of the preceding residue. Each conformation can be stabilized further by a hydrogen bond between the CH₂OH (donor) of residue i + 1 and the C?O of residue i (acceptor). The interactions that determine conformations for all oligosaccharides containing both NAG and NAM are shown to be exclusively intraresidue and nearest neighbor interactions, so that it is possible to predict all stable conformations of oligosaccharides containing NAG and NAM in any sequence.     

Preferred side‐chain conformation of arginine residues in a triple‐helical structure

The crystal structure of the triple‐helical peptide (Pro‐Hyp‐Gly)₃‐Pro‐Arg‐Gly‐(Pro‐Hyp‐Gly)₄ (POG3‐PRG‐POG4) was determined at 1.45 Å resolution. POG3‐PRG‐POG4 was designed to permit investigation of the side‐chain conformation of the Arg residues in a triple‐helical structure. Because of the alternative structure of one of three Arg residues, four side‐chain conformations were observed in an asymmetric unit. Among them, three adopt a ttg^?t conformation and the other adopts a tg^?g^?t conformation. A statistical analysis of 80 Arg residues in various triple‐helical peptides showed that, unlike those in globular proteins, they preferentially adopt a tt conformation for χ₁ and χ₂, as observed in POG3‐PRG‐POG4. This conformation permits van der Waals contacts between the side‐chain atoms of Arg and the main‐chain atoms of the adjacent strand in the same molecule. Unlike many other host–guest peptides, in which there is a significant difference between the helical twists in the guest and the host peptides, POG3‐PRG‐POG4 shows a marked difference between the helical twists in the N‐terminal peptide and those in the C‐terminal peptide, separated near the Arg residue. This suggested that the unique side‐chain conformation of the Arg residue affects not only the conformation of the guest peptide, but also the conformation of the peptide away from the Arg residue. © 2014 Wiley Periodicals, Inc. Biopolymers 101: 1000–1009, 2014.     

Chain conformation in polyretropeptides: Quantum mechanical and empirical force field calculations on 2,6,8-trioxo-3,5,9-triazadecane,a model compound for poly(retro-glycine)

We report here our results on semiempirical AM1 calculations for the conformational preferences of 2,6,8-trioxo-3,5,9-triazadecane, a model compound for polymers made of retropeptide units. We have evaluated the effect of applying symmetry constraints between chemically equivalent torsion angles. These results suggest that preferred conformations around the ? NH? CH₂? NH? group are quite independent from those on the ? CO? CH₂? CO? unit, so all possible combinations generate the complete set of energy minima for the model compound. We have analyzed the implications of the different minimum energy conformation in an infinite chain model and we have explored the conformational space of regular polyretropeptides. This shows a close relation to that of regular polypeptides but with significant differences arising from the change of orientation of the peptide units along the polymer molecule. The energy calculations also support previously proposed models for the crystal structure of the simplest polyretropeptide, poly(retro-glycine). Finally, we discuss the consequences of retropeptide-peptide copolymerization as well as the expected conformations for regular alternate terpolymers. © 1995 John Wiley & Sons, Inc.     

Possible formation of the left-handed alpha-helix of poly-L-serine

A conformational study of poly-L -serine has shown that it can exist in the left-handed α-helical form. A study of a pair of peptide units with the serine sidegroup attached to the α carbon atom linking the two units showed that O? H ?O hydrogen bonds between the OH group of the side chain and a carbonyl oxygen of the first peptide group in the backbone can occur in two regions of ?, namely, ? = 15°–30° for χ₁ = 300° and for ? = 225°-230° for ? = 60°. The latter is close to a possible left-handed helix of poly-L -serine, stabilized by N? H ?O hydrogen bonds. From a study of contact criteria, the best conformation for this helix is found to be ? = 227°, Ψ = 238°, χ₁ = 65° which has n = 3.65, h = 1.51 A. The N? H ?O hydrogen bond has a length of 2.90 A. (6°) and the O? H ?O hydrogen bond is of length 2.60 A. (0°). There are no other bad short contacts in the structure. The cylindrical coordinates of the atoms, as well as a perspective view of the structure arc given in this paper.     

Determination of the conformation of folding initiation sites in proteins by computer simulation

Experimental evidence and theoretical models both suggest that protein folding begins by specific short regions of the polypeptide chain intermittently assuming conformations close to their final ones. The independent folding properties and small size of these folding initiation sites make them suitable subjects for computational methods aimed at deriving structure from sequence. We have used a torsion space Monte Carlo procedure together with an all-atom free energy function to investigate the folding of a set of such sites. The free energy function is derived by a potential of mean force analysis of experimental protein structures. The most important contributions to the total free energy are the local main chain electrostatics, main chain hydrogen bonds, and the burial of nonpolar area. Six proposed independent folding units and four control peptides 11–14 residues long have been investigated. Thirty Monte Carlo simulations were performed on each peptide, starting from different random conformations. Five of the six folding units adopted conformations close to the experimental ones in some of the runs. None of the controls did so, as expected. The generated conformations which are close to the experimental ones have among the lowest free energies encountered, although some less native like low free energy conformations were also found. The effectiveness of the method on these peptides, which have a wide variety of experimental conformations, is encouraging in two ways: First, it provides independent evidence that these regions of the sequences are able to adopt native like conformations early in folding, and therefore are most probably key components of the folding pathways. Second, it demonstrates that available simulation methods and free energy functions are able to produce reasonably accurate structures. Extensions of the methods to the folding of larger portions of proteins are suggested. © 1995 Wiley-Liss, Inc.     

Peptides and peptoids—A quantum chemical structure comparison

Peptoids represent a very interesting structure alternative to peptides. Based on ab initio MO theory employing the 6-31G* and 3-21G basis sets and considering correlation energy, a systematic structure comparison between the basic structure units of peptoids and peptides is performed. The calculations show three minimum conformations denoted as C_7β, α_D, and α that do not correspond to conformers on the peptide potential energy hypersurface. The possibility of cis peptide bonds in the peptoids was examined. The solvent influence on the structure was estimated by means of various quantum chemical continuum models. © 1996 John Wiley & Sons, Inc.