Empirical evaluation of the influence of side chains on the conformational entropy of the polypeptide backbone

Changes in amino acid side chains have long been recognized to alterthe range and distribution of ?, ψ angles found in the main chain of polypeptides. Altering the range and distribution of ?, ψ angles also alters the conformational entropy of the flexible denatured state and may thus stabilize or destabilize it relative to the comparatively conformationally rigid native state. A database of 12,320 residues from 61 nonhomologous, high resolution crystal structures was examined to determine the ?, ψ conformational preferences of each of the 20 amino acids. These observed distributions in the native state of proteins are assumed to also reflect the distributions found in the denatured state. The distributionswere used to approximate the energy surface for each residue, allowing the calculation of relative conformational entropies for each residue relative to glycine. In the most extreme case, replacement of glycine by proline, conformational entropy changes will stabilize the native state relative to the denatured state by ?0.82 ± 0.08 kcal/mol at 20°C. Surprisingly, alanine is found to be the most ordered residue other than proline. This unexpected result is a result of the high percentage of alanines found in helical conformations. This either indicates that the observed distributions in the native state do not reflect the distributions in the denatured state, or that alanine is much more likely to adopt a helical conformation in the denatured state than residues with longer side chains. Among those residues with ?, ψ angles compatible with helix incorporation the percentage of alanines actually in helices is very similar to other residues. This and the consistent ordering of alanine relative to other residues regardless of secondary structure are evidence that ?, ψ distributions in native states reflect those in the denatured states. © 1995 Wiley-Liss, Inc.     

Calculation of the molecular parameters of the alpha-helix-coil and beta-structure-coil transitions.

Monte-Carlo calculations of geometric and thermodynamic characteristics of the α-helix and the β-structure of polypeptides have been carried out. To describe a hydrogen bond both the Lippincott–Schroeder and Morse potentials were used. The internal rotation angles φ and ψ in the α-helix have been shown to fluctuate in the range of ±7°. The distribution functions on angles φ and ψ and on hydrogen bond lengths and angles in the α-helix have been computed and compared with those in myoglobin and lysozyme. Thermodynamic characteristics of the α-helix calculated in different approximations with the two forms of the hydrogen bond potentials have also been compared. The data obtained are close to the experimental values for polypeptides in neutral solution. Some geometric and thermodynamic characteristics of the regular parallel and antiparallel and irregular antiparallel β-structure have been found. In the β-structure the internal rotation angles vary within the interval ±15–20°. An increase in the cross and longitudinal dimensions of the β-structure only slightly influence both the geometric and thermodynamic characteristics.     

Infrared spectroscopy of collagen and collagen-like polypeptides.

The set of synthetic polytripeptides and polyhexapeptides which can adopt a triple-helical form constitute a good model system for investigating collagen structure. Here we consider previous and new infrared spectroscopic studies on collagen and present the infrared spectra of a number of polymers with collagen-like features. The amide A band position for all triple-helical polypeptides is higher than that observed for most proteins and polypeptides, and this high frequency appears to be related to the degree of supercoiling of the triple helix. It is possible that with increased supercoiling of the three chains the angles between the groups involved in the intramolecular hydrogen bonds become less favorable, or these bonds may become unusually long. The frequency of the amide I band varies considerably for triple-helical polypeptides with different amino acid sequences, and often minor bands are observed. This finding contrasts with the observations for polypeptides in a pleated sheet or α-helical form, where the same amide I frequency is observed regardless of the amino acid composition. An explanation for this variation is proposed in terms of the hydrogen bonding properties of imino acids. Significant spectral changes in the amide I region are observed on hydration in the spectra of some triple-helical polypeptides, but corresponding changes have not been found in the collagens examined.     

Vibrational spectrum of the unordered polypeptide chain: A Raman study of feather keratin

Raman spectra of native and solubilized feather keratin have been obtained, and the amide I and amide III regions have been analyzed by band resolution techniques. The amide I region of the native form indicates that at least 64% of the protein has an antiparallel chain pleated sheet structure, the remainder being unordered. For the solubilized keratin all of the protein is in an unordered state. The amide III region is not as easily analyzed into component contributions. Normal vibration analyses on N-acetyl-L -alanine-N-methylamide support the conclusion that the amide III region is not as satisfactory as the amide I region in characterizing unordered structures. Even in the latter case caution must be used, since the observed amide I band is an average over the conformational distribution in the particular unordered system.     

External reflection FTIR of peptide monolayer films in situ at the air/water interface: experimental design, spectra-structure correlations, and effects of hydrogen-deuterium exchange.

A Fourier transform infrared spectrometer has been interfaced with a surface balance and a new external reflection infrared sampling accessory, which permits the acquisition of spectra from protein monolayers in situ at the air/water interface. The accessory, a sample shuttle that permits the collection of spectra in alternating fashion from sample and background troughs, reduces interference from water vapor rotation-vibration bands in the amide I and amide II regions of protein spectra (1520-1690 cm-1) by nearly an order of magnitude. Residual interference from water vapor absorbance ranges from 50 to 200 microabsorbance units. The performance of the device is demonstrated through spectra of synthetic peptides designed to adopt alpha-helical, antiparallel beta-sheet, mixed beta-sheet/beta-turn, and unordered conformations at the air/water interface. The extent of exchange on the surface can be monitored from the relative intensities of the amide II and amide I modes. Hydrogen-deuterium exchange may lower the amide I frequency by as much as 11-12 cm-1 for helical secondary structures. This shifts the vibrational mode into a region normally associated with unordered structures and leads to uncertainties in the application of algorithms commonly used for determination of secondary structure from amide I contours of proteins in D2O solution.     

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].     

Vibrational analysis of peptides,polypeptides, and proteins. V. Normal vibrations of β-turns

The normal modes have been calculated for β-turns of types I, II, III, I′, II′, and III′. The complete set of frequencies is given for the first three structures; only the amide I, II, and III modes are given for the latter three structures. Calculations have been done for structures with standard dihedral angles, as well as for structures whose dihedral angles differ from these by amounts found in protein structures. The force field was that refined in our previous work on polypeptides. Transition dipole coupling was included, and is crucial to predicting frequency splittings in the amide I and amide II modes. The results show that in the amide I region, β-turn frequencies can overlap with those of the α-helix and β-sheet structures, and therefore caution must be exercised in the interpretation of protein bands in this region. The amide III modes of β-turns are predicted at significantly higher frequencies than those of α-helix and β-sheet structures, and this region therefore provides the best possibility of identifying β-turn structures. Amide V frequencies of β-turns may also be distinctive for such structures.     

Vibrational analysis of peptides,polypeptides, and proteins. I. Polyglycine I

A force field has been refined for the antiparallel chain-rippled sheet structure of polyglycine I. Transition dipole coupling and hydrogen bonding are explicitly taken into account. Amide I and amide II mode splittings are well accounted for, the latter also providing a quantitative explanation of the amide A and amide B mode frequencies and intensities. In addition to predicting other features of the vibrational spectrum of polyglycine I, this force field is completely transferable to other β polypeptides, even though these have the antiparallel chainpleated sheet structure.     

Raman scattering of chymotrypsinogen A, ribonuclease, and ovalbumin in the aqueous solution and solid state

The Raman spectra of three globular proteins, beef pancreas chymotrypsinogen A, beef pancreas ribonuclease, and hen egg white ovalbumin have been obtained in the solid state and aqueous solution. X-ray diffraction and circular dichroism evidence have indicated that these proteins have a low α-helical content and a large fraction of the residues in the unordered and β-sheet conformation. The frequencies and intensities of the amide I and amide III lines are consistent with assignments based on the Raman spectra of polypeptides. The intense amide III lines observed in all the spectra would be expected for proteins with a low fraction of the residues in the α-helical conformation. Several spectra changes occur upon dissolution of the proteins in water and may be associated with further hydration of the proteins. The spectrum of thermally denatured chymotrypsinogen is presented. A 3 cm^–1 decrease in the frequency of the amide I line of the protein dissolved in D₂O upon heating was observed. This observation is consistent with a denaturation mechanism allowing only slight changes in the secondary structure but an increase in solvent penetration upon going from the native to the reversibly denatured state.     

Studies on the conformation of amino acids. IX. Conformations of butyl, seryl, threonyl, cystennyl, and valyl residues in a dipeptide unit

Potential energies of conformation of a dipeptide unit with butyl, seryl, threonyl, eysteinyl, and valyl side groups have been computed by using classical energy expressions. The presence of a γ-atom introduces characteristic restrictions on the backbone rotational angles ? and ψ the γ-atom itself is restricted to three staggered positions about the C^α—C^β bond. The important results are that a γ-carbon in position I (χ¹ ? 60°) cannot be accommodated in the standard right-and left-handed α-helices, whereas a γ-oxygen or sulfur could easily be accommodated in the right-handed α-helix. Further, a γ-carbon or a heteroatom in position II (χ¹ ? 180°) does not favor a conformation ψ ? 180°, compared to two other positions. The valyl side group significantly reduces the allowed ? and ψ values and energetically prefers a β-conformation compared to right-or left-handed α-helical conformations. The less favorable α-helical conformation is possible only for γ (III, II) combination of the valyl residue. The observed ?, ψ, and χ¹ values of all the amino acid residues in the three protein molecules, lysozyme, myoglobin, and chymotrypsin are compared with the theoretical predictions and the agreement is excellent. The results bring out the important fact that even in large molecules, the conformation of local segments are predominantly governed by the short-range intramolecular interactions.     

Vibrational circular dichroism in amino acids and peptides. 7. Amide stretching vibrations in polypeptides

Vibrational circular dichroism (VCD) spectra for the principal amide stretching vibrations, amide A (N? H stretch) and amide I (predominantly C?O stretch), are presented and analyzed for a variety of polypeptides dissolved in chloroform, as well as for two examples in D₂O. Our results for poly(γ-benzyl-L -glutamate) confirm the first and only previous report of VCD in polypeptides carried out by Singh and Keiderling [(1981) Biopolymers 20 , 237–240]. Collectively, our spectra show that the sense of the bisignate VCD in these two regions depends on the sense of α-helicity and not on the absolute configuration of the constituent amino acids. This conclusion is established by obtaining VCD for the two polypeptides, poly(β-benzyl-L -asparate) and poly(im-benzyl-L -histidine), that form left-handed as opposed to right-handed α-helices. A new amide band having significant VCD intensity owing to its Fermi resonance interaction with the N? H stretching mode has been identified as a weak shoulder on the low-frequency side of the amide A band near 3200 cm^?1 and is assigned as a combination band of the amide I and amide II vibrations. VCD spectra of polypeptides in D₂O solution, although weak, have been successfully measured in the amide I region, where spectra appear to be more complicated due to the presence of solvated and internally hydrogen-bonded amide groups. Strong monosignate contributions to the VCD in the amide A and amide I regions for some of the polypeptides indicate coupling of an electronic nature between these two regions and is deduced by an application of the concept of local sum rules of rotational strength. It appears that a detailed understanding of the VCD obtained for polypeptides will not only be diagnostic of secondary structure, but also of more subtle structural and vibrational effects that give rise to local, intrinsic chirality in the amide vibrations.     

β-Turn conformations in crystal structures of model peptides containing α,α-Di-n-propylglycine and α,α-Di-n-butylglycine

The crystal state conformations of three peptides containing the α,α-dialkylated residues. α,α-di-n-propylglycine (Dpg) and α,α-di-n-butylglycine (Dbg), have been established by x-ray diffraction. Boc-Ala-Dpg-Alu-OMe (I) and Boc-Ala-Dbg-Ala-OMe (III) adopt distorted type II β-turn conformations with Ala (1) and Dpg/Dbg (2) as the corner residues. In both peptides the conformational angles at the Dxg residue (I: ? = 66.2°, ψ = 19.3°; III: ? = 66.5°. ψ = 21.1°) deviate appreciably from ideal values for the i + 2 residue in a type II β-turn. In both peptides the observed (N…O) distances between the Boc CO and Ala (3) NH groups are far too long (1: 3.44 Å: III: 3.63 Å) for an intramolecular 4 → 1 hydrogen bond. Boc-Ala-Dpg-Ata-NHMe (II) crystallizes with two independent molecules in the asymmetric unit. Both molecules HA and HB adopt consecutive β-turn (type III-III in HA and type III-I in IIB) or incipient 3₁₀-helical structures, stabilized by two intramolecular 4 → 1 hydrogen bonds. In all four molecules the bond angle N-C^α-C′ (τ) at the Dxg residues are ≥ 110°. The observation of conformational angles in the helical region of ?,ψ space at these residues is consistent with theoretical predictions. © 1995 John Wiley & Sons, Inc.     

Intramolecular distortion of the α-helical structure of polypeptides

Broadening of the infrared amide A, amide I and amide II bands of α-helical polypeptides has been observed for thermodynamically unstable α-helices. This spectroscopic fact can be explained now by the geometrical distortions of the backbone of the helical structure. Two models for distorted helices which include regular or irregular distortions of the angles of internal rotation of the main polypeptide chain have been considered. It is pointed out that the instability of α-helix is associated with irregular distortions of the polypeptide backbone.     

Vibrational circular dichroism spectra of three conformationally distinct states and an unordered state of poly(L-lysine) in deuterated aqueous solution

Fourier transform ir vibrational circular dichroism (VCD) spectra in the amide I′ region of poly(L-lysine) in D₂O solutions have confirmed the existence of three distinct conformational states and an unordered conformational state in this homopolypeptide. Characteristic VCD spectra are presented for the right-handed α-helix, the antiparallel β-sheet, an extended helix conformation previously referred to as the so-called “random coil,” and a completely unordered conformation characterized by the absence of any amide I′ VCD. VCD for the antiparallel β-sheet in solution and the unordered chain conformation are presented for the first time. Each of the four different VCD spectra is unique in appearance and lends weight to the view that VCD has the potential to become a sensitive new probe of the secondary structure of proteins in solution.     

Structural transition during thermal denaturation of collagen in the solution and film states

Temperature dependent vibrational circular dichroism (VCD) spectra of type I collagen, in solution and film states, have been measured. These spectra obtained for solution sample suggest that the thermal denaturation of collagen results in transition from poly-L-proline II (PPII) to unordered structure. The PPII structure of collagen is identified by the presence of negative VCD couplet in the amide I region, while the formation of unordered structure is indicated by the disappearance of VCD in the amide I region. The temperature dependent spectra obtained for the supported collagen film indicated a biphasic transition, which is believed to be the first vibrational spectroscopic report to support a biphasic transition during thermal denaturation of collagen film. The temperature dependent spectra of collagen films suggest that the thermal stability of collagen structure depends on its state and decreases in the order: supported film > free standing film > solution state. These observations are believed to be significant in the VCD spectroscopic analysis of secondary structures of proteins and peptides.     

Vibrational approach to the dynamics of an α-helix

The dynamics of a finite α-helix have been studied in the harmonic approximation by a vibrational analysis of the atomic motions about their equilibrium positions. The system were represented by an empirical potential energy function, and all degrees of freedom (bond lengths, bond angles, and torsional angles) were allowed to vary. The complete results were compared with a more restrictive model in which the peptide dihedral angle was kept rigid; also, a model potential excluding hydrogen bonds was examined. Thermal fluctuations in the backbone dihedral angles ? and ψ are 12° to 15°. The fluctuations of adjacent dihedral angles are highly correlated, and the correlation pattern is affected by the flexibility of the peptide dihedral angle. Time-dependent autocorrelations in the motion of ? and ψ appear to decay due to dephasing in less than 1 psec, while the motions of the carbonyl oxygen and amide hydrogens out of the peptide plane are more harmonic. Length fluctuations have been evaluated and exhibit a strong end effect; the calculated elastic modulus is in agreement with other values. Rigid and adiabatic total energy surfaces corresponding to dihedral angle rotations in the middle of the helix have been obtained and compared with the quadratic approximation to those surfaces. The magnitudes and correlations between the fluctuations obtained by averaging over the adiabatic energy surface most closely resemble the vibrational results. Of particular interest is the fact that hydrogen bonds play a relatively small role in the local dihedral angle fluctuations, though the hydrogen bonds are important in the energy of overall length changes.     

Intensities and other spectral parameters of infrared amide bands of polypeptides in the alpha-helical form

Intensities and other spectral parameters of infrared amide I and II bands of α-helical polypeptides in solutions have been determined for poly(γ-benzylglutamate), poly(γ-ethylglutamate), and polymethionine in chloroform, polylysine, poly(glutamic acid), and fibrillar protein tropomyosin from rabbit muscles in heavy water. The majority of spectral parameters are characteristic. The half-width of the amide I band was found to vary in the range of 15–40 cm^?1 for different polypeptides in the different solutions. The correlation between this parameter of the amide I band and the stability of the α-helix was estimated. A new weak band near 1537 cm^?1 of unknown origin was observed for the hydrogen form of polypeptides in the α-helical state.     

Solvent effects on the conformational preferences of model peptoids. MP2 study

The influence of aqueous environment on the main‐chain conformation (ω₀, ?, and ψ dihedral angles) of two model peptoids: N‐acetyl‐N‐methylglycine N’‐methylamide (Ac‐N(Me)‐Gly‐NHMe) ( 1 ) and N‐acetyl‐N‐methylglycine N’,N’‐dimethylamide (Ac‐N(Me)‐Gly‐NMe₂) ( 2 ) was investigated by MP2/6‐311++G(d,p) method. The Ramachandran maps of both studied molecules with cis and trans configuration of the N‐terminal amide bond in the gas phase and in water environment were obtained and all energy minima localized. The polarizable continuum model was applied to estimate the solvation effect on conformation. Energy minima of the Ac‐N(Me)‐Gly‐NHMe and Ac‐N(Me)‐Gly‐NMe₂ have been analyzed in terms of the possible hydrogen bonds and C = O dipole attraction. To validate the theoretical results obtained, conformations of the similar structures gathered in the Cambridge Crystallographic Data Centre were analyzed. Obtained results indicate that aqueous environment in model peptoids 1 and 2 favors the conformation F (? and ψ = ?70º, 180º), and additionally significantly increases the percentage of structures with cis configuration of N‐terminal amide bond in studied compounds. Copyright © 2014 European Peptide Society and John Wiley & Sons, Ltd.     

Raman spectroscopy of cytoplasmic muscle fiber proteins. Orientational order.

The polarized Raman spectra of glycerinated and intact single muscle fibers of the giant barnacle were obtained. These spectra show that the conformation-sensitive amide I, amide III, and C-C stretching vibrations give Raman bands that are stronger when the electric field of both the incident and scattered radiation is parallel to the fiber axis (Izz). The detailed analysis of the amide I band by curve fitting shows that approximately 50% of the alpha-helical segments of the contractile proteins are oriented along the fiber axis, which is in good agreement with the conformation and composition of muscle fiber proteins. Difference Raman spectroscopy was also used to highlight the Raman bands attributed to the oriented segments of the alpha-helical proteins. The difference spectrum, which is very similar to the spectrum of tropomyosin, displays amide I and amide III bands at 1,645 and 1,310 cm-1, respectively, the bandwidth of the amide I line being characteristic of a highly alpha-helical biopolymer with a small dispersion of dihedral angles. A small dichroic effect was also observed for the band due to the CH2 bending mode at 1,450 cm-1 and on the 1,340 cm-1 band. In the C-C stretching mode region, two bands were detected at 902 and 938 cm-1 and are both assigned to the alpha-helical conformation.