Dihedral angles of tripeptides in solution directly determined by polarized Raman and FTIR spectroscopy

The amide I mode of the peptide linkage is highly delocalized in peptides and protein segments due to through-bond and through-space vibrationally coupling between adjacent peptide groups. J. Phys. Chem. B. 104:11316-11320) used coherent femtosecond infrared (IR) spectroscopy to determine the excitonic coupling energy and the orientational angle between the transition dipole moments of the interacting amide I modes of cationic tri-alanine in D(2)O. Recently, the same parameters were determined for all protonation states of tri-alanine by analyzing the amide I bands in the respective IR and isotropic Raman spectra (. J. Am. Chem. Soc. 119:1720-1726.). In both studies, the dihedral angles phi and psi were then obtained by utilizing the orientational dependence of the coupling energy obtained from ab initio calculations on tri-glycine in vacuo (. J. Raman Spectrosc. 29:81-86) to obtain an extended 3(1) helix-like structure for the tripeptide. In the present paper, a novel algorithm for the analysis of excitonic coupling between amide I modes is presented, which is based on the approach by Schweitzer-Stenner et al. but avoids the problematic use of results from ab initio calculations. Instead, the dihedral angles are directly determined from infrared and visible polarized Raman spectra. First, the interaction energy and the corresponding degree of wave-function mixing were obtained from the amide I profile in the isotropic Raman spectrum. Second, the depolarization ratios and the amide I profiles in the anisotropic Raman and IR-absorption spectra were used to determine the orientational angle between the peptide planes and the transition dipole moments, respectively. Finally, these two geometric parameters were utilized to determine the dihedral angles phi and psi between the interacting peptide groups. Stable extended conformations with dihedral angles in the beta-sheet region were obtained for all protonation states of tri-alanine, namely phi(+) = -126 degrees, psi(+) = 178 degrees; phi(+/-) = -110 degrees, psi(+/-) = 155 degrees; and phi(-) = -127 degrees, psi(-) = 165 degrees for the cationic, zwitterionic, and anionic state, respectively. These values reflect an extended beta-helix structure. Tri-glycine was found to be much more heterogeneous in that different extended conformers coexist in the cationic and zwitterionic state, which yield a noncoincidence between isotropic and anisotropic Raman scattering. Our study introduces vibrational spectroscopy as a suitable tool for the structure analysis of peptides in solution and tripeptides as suitable model systems for investigating the role of local interactions in determining the propensity of peptide segments for distinct secondary structure motifs.     

Flexibility of bovine pancreatic trypsin inhibitor

The native conformation of a protein may be expressed in terms of the dihedral angles, phi's and psi's for the backbone, and kappa's for the side chains, for a given geometry (bond lengths and bond angles). We have developed a method to obtain the dihedral angles for a low-energy structure of a protein, starting with the X-ray structure; it is applied here to examine the degree of flexibility of bovine pancreatic trypsin inhibitor. Minimization of the total energy of the inhibitor (including nonbonded, electrostatic, torsional, hydrogen bonding, and disulfide loop energies) yields a conformation having a total energy of -221 kcal/mol and a root mean square deviation between all atoms of the computed and experimental structures of 0.63 A. The optimal conformation is not unique, however, there being at least two other conformations of low-energy (-222 and -220 kcal/mol), which resemble the experimental one (root mean square deviations of 0.66 and 0.64 A, respectively). These three conformations are located in different positions in phi, psi space, i.e., with a total deviation of 81 degrees, 100 degrees and 55 degrees from each other (with a root mean square deviation of several degrees per dihedral angle from each other). The nonbonded energies of the backbones, calculated along lines in phi, psi space connecting these three conformations, are all negative, without any intervening energy barriers (on an energy contour map in the phi, psi plane). Side chains were attached at several representative positions in this plane, and the total energy was minimized by varying the kappa's. The energies were of approximately the same magnitude as the previous ones, indicating that the conformation of low energy is flexible to some extent in a restricted region of phi, psi space. Interestingly, the difference delta phi i+1 in phi i+1 for the (i + 1)th residue from one conformation to another is approximately the same as -delta psi i for the ith residue; i.e., the plane of the peptide group between the ith and (i + 1)th residues re-orient without significant changes in the positions of the other atoms. The flexibility of the orientations of the planes of the peptide groups is probably coupled in a cooperative manner to the flexibility of the positions of the backbone and side-chain atoms.     

The geometry of alpha-sheet: Implications for its possible function as amyloid precursor in proteins

alpha-sheet has been proposed as the main constituent of the prefibrillar intermediate during amyloid formation. Here the helical parameters of the alpha-sheet strand are calculated from average main-chain dihedral angles reported from molecular dynamics simulations. It is an almost linear polypeptide that forms a right-handed helix of about 100 A diameter, with 100 residues and a rise of 30 A per turn. The strands are curved but untwisted, which implies that neighboring strands need not coil to make interstrand hydrogen bonds. This suggests that compared to beta-sheets in native folded proteins, alpha-sheets can be larger and stack more easily to create extensive 3D blocks. It is shown that alpha-sheet is related to a category of structures termed "mirror" structures. Mirror structures have repetitive pairs of main-chain dihedral angles at residues i and i+1 that satisfy the condition phi(i) (+1) = -psi(i), psi(i) (+1) = -phi(i). They are uniquely identified by the two orientations of their peptide planes, specified by phi(i) and psi(i). Their side chains point alternately in opposite directions. Interestingly, their conformations are insensitive to phi(i) and psi(i) in that the pseudo dihedral angle formed by four consecutive C(alpha) atoms is always close to 180 degrees . There are two types: "beta-mirror" and "alpha-mirror" structure; beta-mirror structures relate to beta-sheet by small peptide plane rotations, of less than 90 degrees , while alpha-mirror structures are close to alpha-sheet and relate to beta-sheet by approximately 180 degrees peptide plane flips. Most mirror structures, and in particular the alpha-mirror, form wide helices with diameters 50-70 A. Their gentle curvature, and therefore that of the alpha-sheet, arises from the orientation of successive peptide units causing the difference in the bond angles at the C and N atoms of the peptide unit to gradually change the direction of the chain.     

Conformational analysis of protein side chains using two-dimensional Overhauser nuclear effect spectroscopy]

The method has been proposed to determine the conformations of protein side-chains (dihedral angles chi 1) using two-dimensional nuclear Overhauser effect spectroscopy data. This method is grounded of the algorithm prepared on the basis of joint consideration of proton-proton distance dependences in dipeptide units of L-amino acid residues on the dihedral angles phi, psi and chi 1 with the accounting of the local sterical conditions of the polypeptide chain. The obtained results gave the possibility to bring the different regions of space (phi, psi) of amino acid residues into the line with the specific sets of nuclear Overhauser effect spectral parameters which unambiguously characterize in most cases the conformational states of their side-chains. The method efficiency was displayed on the test calculation with the utilization as the experimental data of the "model" nuclear Overhauser effect contacts derived from the X-ray atomic coordinates of the bovine pancreatic trypsin inhibitor molecule.     

Polypeptide motions are dominated by peptide group oscillations resulting from dihedral angle correlations between nearest neighbors

To identify basic local backbone motions in unfolded chains, simulations are performed for a variety of peptide systems using three popular force fields and for implicit and explicit solvent models. A dominant "crankshaft-like" motion is found that involves only a localized oscillation of the plane of the peptide group. This motion results in a strong anticorrelated motion of the phi angle of the ith residue (phi(i)) and the psi angle of the residue i - 1 (psi(i-1)) on the 0.1 ps time scale. Only a slight correlation is found between the motions of the two backbone dihedral angles of the same residue. Aside from the special cases of glycine and proline, no correlations are found between backbone dihedral angles that are separated by more than one torsion angle. These short time, correlated motions are found both in equilibrium fluctuations and during the transit process between Ramachandran basins, e.g., from the beta to the alpha region. A residue's complete transit from one Ramachandran basin to another, however, occurs in a manner independent of its neighbors' conformational transitions. These properties appear to be intrinsic because they are robust across different force fields, solvent models, nonbonded interaction routines, and most amino acids.     

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.     

Tripeptides with ionizable side chains adopt a perturbed polyproline II structure in water

The present paper reports the conformations of the acidic and basic homotripeptides triglutamate, triaspartate, and trilysine in aqueous solution to better understand their relevance for the structure of disordered proteins and protein segments and for a variety of protein binding processes. The determination of the dihedral angles of the central amino acid residue was achieved by analyzing the amide I band profile of the respective polarized visible Raman, Fourier transform infrared (FT-IR), and vibrational circular dichroism (VCD) spectra by means of recently developed algorithms [Schweitzer-Stenner, R. (2002) Biophys. J. 83, 523-532; Eker et al. (2002) J. Am. Chem. Soc. 124, 523-532]. The results were validated by measuring the UV electronic circular dichroism (ECD) spectra of the peptides. The analyses revealed that a polyproline II-like conformation is predominant at room temperature. For triaspartate and triglutamate the dihedral angles of phi = -70 degrees, psi = 165 degrees and phi = -60 degrees, psi = 160 degrees were obtained, respectively. A similar conformation, i.e., phi = -50 degrees, psi = 170 degrees, was obtained for trilysine, which is at variance with the earlier reported left-handed turn structure. The ECD spectrum of charged tripeptides displayed symmetric negative and positive couplets at 190 and 210 nm, which are interpreted as indicating a somewhat, perturbed polyproline II conformation, in agreement with the obtained dihedral angles. Comparison with literature data shows that the investigated tripeptides are ideal model systems for understanding the local conformation of functionally relevant K3, K2X, E3, and D3 segments in a variety of different proteins.     

Role of azaamino acid residue in beta-turn formation and stability in designed peptide.

The structural perturbation induced by C(alpha)-->N(alpha) exchange in azaamino acid-containing peptides was predicted by ab initio calculation of the 6-31G* and 3-21G* levels. The global energy-minimum conformations for model compounds, For-azaXaa-NH2 (Xaa=Gly, Ala, Leu) appeared to be the beta-turn motif with a dihedral angle of phi= +/- 90 degrees, psi=0 degrees. This suggests that incorporation of the azaXaa residue into the i+2 position of designed peptides could stabilize the beta-turn structure. The model azaLeu-containing peptide, Boc-Phe-azaLeu-Ala-OMe, which is predicted to adopt a beta-turn conformation was designed and synthesized in order to experimentally elucidate the role of the azaamino acid residue. Its structural preference in organic solvents was investigated using 1H NMR, molecular modelling and IR spectroscopy. The temperature coefficients of amide protons, the characteristic NOE patterns, the restrained molecular dynamics simulation and IR spectroscopy defined the dihedral angles [ (phi i+1, psi i+1) (phi i+2, psi i+2)] of the Phe-azaLeu fragment in the model peptide, Boc-Phe-azaLeu-Ala-OMe, as [(-59 degrees, 127 degrees) (107 degrees, -4 degrees)]. This solution conformation supports a betaII-turn structural preference in azaLeu-containing peptides as predicted by the quantum chemical calculation. Therefore, intercalation of the azaamino acid residue into the i+2 position in synthetic peptides is expected to provide a stable beta-turn formation, and this could be utilized in the design of new peptidomimetics adopting a beta-turn scaffold.     

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.     

Modeling protein loops using a phi i + 1, psi i dimer database.

We present an automated method for modeling backbones of protein loops. The method samples a database of phi i + 1 and psi i angles constructed from a nonredundant version of the Protein Data Bank (PDB). The dihedral angles phi i + 1 and psi i completely define the backbone conformation of a dimer when standard bond lengths, bond angles, and a trans planar peptide configuration are used. For the 400 possible dimers resulting from 20 natural amino acids, a list of allowed phi i + 1, psi i pairs for each dimer is created by pooling all such pairs from the loop segments of each protein in the nonredundant version of the PDB. Starting from the N-terminus of the loop sequence, conformations are generated by assigning randomly selected pairs of phi i + 1, psi i for each dimer from the respective pool using standard bond lengths, bond angles, and a trans peptide configuration. We use this database to simulate protein loops of lengths varying from 5 to 11 amino acids in five proteins of known three-dimensional structures. Typically, 10,000-50,000 models are simulated for each protein loop and are evaluated for stereochemical consistency. Depending on the length and sequence of a given loop, 50-80% of the models generated have no stereochemical strain in the backbone atoms. We demonstrate that, when simulated loops are extended to include flanking residues from homologous segments, only very few loops from an ensemble of sterically allowed conformations orient the flanking segments consistent with the protein topology. The presence of near-native backbone conformations for loops from five different proteins suggests the completeness of the dimeric database for use in modeling loops of homologous proteins. Here, we take advantage of this observation to design a method that filters near-native loop conformations from an ensemble of sterically allowed conformations. We demonstrate that our method eliminates the need for a loop-closure algorithm and hence allows for the use of topological constraints of the homologous proteins or disulfide constraints to filter near-native loop conformations.     

The beta-turn scaffold of tripeptide containing an azaphenylalanine residue

The conformational preferences of azaphenylalanine-containing peptide were investigated using a model compound, Ac-azaPhe-NHMe with ab initio method at the HF/3-21G and HF/6-31G(*) levels, and the seven minimum energy conformations with trans orientation of acetyl group and the 4 minimum energy conformations with cis orientation of acetyl group were found at the HF/6-31G(*) level if their mirror images were not considered. An average backbone dihedral angle of the 11 minimum energy conformations is phi=+/-91 degrees +/-24 degrees , psi =+/-18 degrees +/-10 degrees (or +/-169 degrees +/-8 degrees ), corresponding to the i+2 position of beta-turn (delta(R)) or polyproline II (beta(P)) structure, respectively. The chi(1) angle in the aromatic side chain of azaPhe residue adopts preferentially between +/-60 degrees and +/-130 degrees, which reflect a steric hindrance between the N-terminal carbonyl group or the C-terminal amide group and the aromatic side chain with respect to the configuration of the acetyl group. These conformational preferences of Ac-azaPhe-NHMe predicted theoretically were compared with those of For-Phe-NHMe to characterize the structural role of azaPhe residue. Four tripeptides containing azaPhe residue, Boc-Xaa-azaPhe-Ala-OMe [Xaa=Gly(1), Ala(2), Phe(3), Asn(4)] were designed and synthesized to verify whether the backbone torsion angles of azaPhe reside are still the same as compared with theoretical conformations and how the preceding amino acids of azaPhe residue perturb the beta-turn skeleton in solution. The solution conformations of these tripeptide models containing azaPhe residue were determined in CDCl(3) and DMSO solvents using NMR and molecular modeling techniques. The characteristic NOE patterns, the temperature coefficients of amide protons and small solvent accessibility for the azapeptides 1-4 reveal to adopt the beta-turn structure. The structures of azapeptides containing azaPhe residue from a restrained molecular dynamics simulation indicated that average dihedral angles [(phi(1), psi(1)), (phi(2), psi(2))] of Xaa-azaPhe fragment in azapeptide, Boc-Xaa-azaPhe-Ala-OMe were [(-68 degrees, 135 degrees ), (116 degrees, -1 degrees )], and this implies that the intercalation of an azaPhe residue in tripeptide induces the betaII-turn conformation, and the volume change of a preceding amino acid of azaPhe residue in tripeptides would not perturb seriously the backbone dihedral angle of beta-turn conformation. We believe such information could be critical in designing useful molecules containing azaPhe residue for drug discovery and peptide engineering.     

Ab initio computational study of beta-cellobiose conformers using B3LYP/6-311++G**

The molecular structure of 27 conformers of beta-cellobiose were studied in vacuo through gradient geometry optimization using B3LYP density functionals and the 6-311++G** basis set. The conformationally dependent geometry changes and energies were explored as well as the hydrogen-bonding network. The lowest electronic energy structures found were not those suggested from available crystallographic and NMR solution data, where the glycosidic dihedral angles fall in the region (phi, psi) approximately (40 degrees, -20 degrees ). Rather, 'flipped' conformations in which the dihedral angles are in the range (phi, psi) approximately (180 degrees, 0 degrees ) are energetically more stable by approximately 2.5 kcal/mol over the 'experimentally accepted' structure. Further, when the vibrational free energy, deltaG, obtained from the calculated frequencies, is compared throughout the series, structures with (phi, psi) in the experimentally observed range still have higher free energy ( approximately 2.0 kcal/mol) than 'flipped' forms. The range of bridging dihedral angles of the 'normal' conformers, resulting from the variance in the phi dihedral is larger than that found in the 'flipped' forms. Due to this large flat energy surface for the normal conformations, we surmise that the summation of populations of these conformations will favor the 'normal' conformations, although evidence suggests that polar solvent effects may play the dominant role in providing stability for the 'normal' forms. Even though some empirical studies previously found the 'flipped' conformations to be lowest in energy, these studies have been generally discredited because they were in disagreement with experimental results. Most of the DFT/ab initio conformations reported here have not been reported previously in the ab initio literature, in part because the use of less rigorous theoretical methods, i.e. smaller basis sets, have given results in general agreement with experimental data, that is, they energetically favored the 'normal' forms. These are the first DFT/ab initio calculations at this level of theory, apparently because of the length and difficulty of carrying out optimizations at these high levels.     

Structure and conformation of linear peptides. I. Structure of L-tyrosyl-L-tyrosine

L-tyrosyl-L-tyrosine crystallizes as a dihydrate in the orthorhombic system, space group C222(1), with a = 12.105(2), b = 12.789(2), c = 24.492(3) A, Z = 8. The structure was solved by direct methods and refined to a final R-value of 0.059 for 1740 observed reflections. The molecule exists as a zwitterion, the peptide unit is trans planar, and the backbone torsion angles correspond to an extended conformation, with psi 1 = 149.4 degrees, phi 2 = -161.2 degrees, psi 2 = 158.3 degrees. The values of the side-chain torsion angles (chi 1, chi 2) are (-58.8 degrees, -63.1 degrees) for the first tyrosine and (-171.7 degrees, -116.5 degrees) for the second. The planes of the aromatic rings are nearly parallel (dihedral angle of 6.1 degrees), and their centers are separated by 10.9 A. The carboxyl plane forms a dihedral angle of 23.8 degrees with the plane of the peptide bond.     

Strategy for supplementing structure calculations using limited data with hydrophobic distance restraints

Introductory biochemistry texts often note that the fold of a protein is completely defined when the dihedral angles phi and psi are known for each amino acid. This assertion was examined with torsion angle dynamics and simulated annealing (TAD/SA) calculations of protein G using only dihedral angle restraints. When all dihedral angles were restrained to within 1 degrees of the values of the X-ray structure, the TAD/SA structures gave a backbone root mean square deviation to the target of 4 A. Factors that contributed to divergence from the correct solution include deviations of peptide bonds from planarity, internal conflicts resulting from the nonuniform energies of different phi, psi combinations, and relaxation to extended conformations in the absence of long-range constraints. Simulations including hydrogen-bond restraints showed that even a few long-range contacts constrain the fold better than a complete set of accurate dihedral restraints. A procedure is described for TAD/SA calculations using hydrogen-bond restraints, idealized dihedral restraints for residues in regular secondary structures, and "hydrophobic distance restraints" derived from the positions of hydrophobic residues in the amino acid sequence. The hydrogen-bond restraints are treated as inviolable, whereas violated hydrophobic restraints are removed following reduction of restraint upper bounds from 2 to 1 times the predicted radius of gyration. The strategy was tested with simulated restraints from X-ray structures of proteins from different fold classes and NMR data for cold shock protein A that included only backbone chemical shifts and hydrogen bonds obtained from a long-range HNCO experiment.     

Peptide-plane flipping in proteins

A peptide-plane flip is a large-scale rotation of the peptide plane that takes the phi,psi angles at residues i and i + 1 to different structural regions in the Ramachandran plot with a comparatively small effect on the relative orientation of their side chains. This phenomenon, which is expected to play an important role during the early stages of protein folding, has been investigated using 76 proteins for which two high-resolution X-ray conformations are available. Peptide-plane flips are identified by looking for those cases where changes in /psi(i)/ + /phi(i + 1)/ are large (>200 degrees), but changes in /psi(i) + phi(i + 1)/ are comparatively small (<50 degrees). Of a total of 23 cases, the most common peptide-plane flip was identified to be the type I to type II beta-turn interconversion. Although individually rarer, there are many other types of flips that are collectively more common. Given the four main accessible regions alpha(R), alpha(L), beta and epsilon, identified from the phi,psi distribution corresponding to non-hydrogen-bonded peptide planes, 32 main types of peptide-plane flip are identified. Only 8 of these are "passive," in that they require only relatively minor adjustments in the orientation of adjacent peptide planes. Of these, only the type I to type II beta-turn interconversion, denoted, beta(i) + alpha(L)(i + 1) <--> alpha(R)(i) + alpha(R)(i + 1), and the rarer alpha(R)(i) + alpha(L)(i + 1) <--> beta(i) + alpha(R)(i + 1), do not involve the epsilon region. "Active" peptide-plane flips affect the orientation of adjacent peptide planes. The flip, alpha(L)(i) + alpha(L)(i + 1) <--> beta(i) + beta(i + 1), of which one example was found, shows how concerted peptide-plane flips can convert the alpha(L) structure to the beta structure without affecting the relative orientations of the side chains.     

A molecular dynamics investigation of the elastomeric restoring force in elastin

A repetitive polypentapeptide organized as a connected chain of beta-bends is believed to be an important structural element of elastin, the major elastomer in biological systems. Molecular dynamics simulations were carried out on hydrated polymers of (Val-Pro-Gly-Val- Gly)18 at various extensions. Analysis of the fluctuations of backbone angles in relaxed elastin showed that particularly large-amplitude torsional motions occur in phi and psi angles of residues connecting sequentially adjacent hairpin bends. Many such motions reflect peptide plane librations that result from anticorrelated crankshaft rotations of psi i and phi i+1. These effects were much reduced in stretched polymer models. The conformational entropy of relaxed and stretched elastin models was estimated using a treatment due to Meirovitch, and gave a calculated decrease in entropy of about 1 cal/mol deg when the polymer was stretched to 1.75 times its original length. There are large changes in solvent-accessible surface area during the initial stages of elastin stretching. Collectively these results suggest that hydrophobic interactions make contributions to elastin entropy at low extensions, but that librational mechanisms make larger contributions to the elastic restoring force at longer extensions.     

Conformational investigation of alpha,beta-dehydropeptides. XIII. Conformational properties of N-acetyl-alpha,beta-dehydrovaline N',N'-dimethylamide

The crystal structure of Ac-DeltaVal-NMe(2) (DeltaVal = alpha,beta-dehydrovaline) was determined by X-ray crystallography. The found angles phi = -60 degrees and psi = 125 degrees correspond exactly to the respective values of the (i + 1)th residue in idealised beta-turn II/VIa. Ab initio/DFT studies revealed that the molecule adopts the angle psi restricted only to about |130 degrees | and very readily attains the angle phi = about -50 degrees. This is in line with its solid-state conformation. Taken together, these data suggest that the DeltaVal residue combined with a C-terminal tertiary amide is a good candidate at the (i + 1)th position in a type II/VIa beta-turn.     

Torsion angle based design of peptidomimetics: a dipeptidic template adopting beta-I turn (Ac-Aib-AzGly--NH(2)).

We have attempted to design a model dipeptide (acetyl dipeptide amide, Ac-CA1-CA2--NH(2)) that can adopt specifically typical torsion angles of the beta-I turn (phi(i+1), psi(i+1), phi(i+2), psi(i+2)=-60 degrees, -30 degrees, -90 degrees, 0 degrees ). The key of the design is the combination of constrained amino acids that prefer to adopt the desired torsion angles. We chose Aib (aminoisobutyric acid) as the first residue of which phi and psi angles must be -60 degrees and -30 degrees, respectively. Then, we selected an azaamino acid as the second residue since previous studies have indicated that they prefer to adopt +/-90 degrees of phi angle and 0 degrees or 180 degrees of psi angle. The conformational preference of the resulting Ac-Aib-AzGly--NH(2) is investigated using ab initio methods. The conformations implying beta-I and beta-I' turns are energetically most favorable, as we expected. Thus, we synthesized the designed molecule on the solid phase considering the future generation of combinatorial libraries using an automatic peptide synthesizer. Then, NMR spectroscopy was carried out to confirm their conformational preference in solution was carried out. The results indicated that the Ac-Aib-AzGly--NH(2) adopt beta-I or beta-I' turns in solution forming an intramolecular hydrogen bonding between Ac--C(O) and terminal NH(2). We believe that such a small peptidomimetic template is highly useful for the design of drug candidates and molecular devices.     

Relation between the spectral NMR parameters and conformation characteristics of the amino acid residue backbone. Analysis of elements of the secondary structure of proteins

Based on the analysis of the proton-proton distance dependences from the conformational characteristics of the L-amino acid residues, the correlation diagram of the NOE cross peak intensity waited values with the regions of the sterically allowed space (phi, psi) was proposed. The method for determining the dihedral angles phi, psi values using the information about NOE cross peak intensities was elaborated. By the model spectral NMR parameters of the bovine pancreatic trypsin inhibitor, it is shown that the accuracy of the angles phi, psi determination exceed the corresponding accuracy provided by other methods of the structural interpretation of the two-dimensional NMR spectroscopy data. The analysis of the waited spectral NMR parameters for the different types of protein regular secondary structures and beta-turns was performed.     

Pressure response of protein backbone structure. Pressure-induced amide 15N chemical shifts in BPTI.

The effect of pressure on amide 15N chemical shifts was studied in uniformly 15N-labeled basic pancreatic trypsin inhibitor (BPTI) in 90%1H2O/10%2H2O, pH 4.6, by 1H-15N heteronuclear correlation spectroscopy between 1 and 2,000 bar. Most 15N signals were low field shifted linearly and reversibly with pressure (0.468 +/- 0.285 ppm/2 kbar), indicating that the entire polypeptide backbone structure is sensitive to pressure. A significant variation of shifts among different amide groups (0-1.5 ppm/2 kbar) indicates a heterogeneous response throughout within the three-dimensional structure of the protein. A tendency toward low field shifts is correlated with a decrease in hydrogen bond distance on the order of 0.03 A/2 kbar for the bond between the amide nitrogen atom and the oxygen atom of either carbonyl or water. The variation of 15N shifts is considered to reflect site-specific changes in phi, psi angles. For beta-sheet residues, a decrease in psi angles by 1-2 degrees/2 kbar is estimated. On average, shifts are larger for helical and loop regions (0.553 +/- 0.343 and 0.519 +/- 0.261 ppm/2 kbar, respectively) than for beta-sheet (0.295 +/- 0.195 ppm/2 kbar), suggesting that the pressure-induced structural changes (local compressibilities) are larger in helical and loop regions than in beta-sheet. Because compressibility is correlated with volume fluctuation, the result is taken to indicate that the volume fluctuation is larger in helical and loop regions than in beta-sheet. An important aspect of the volume fluctuation inferred from pressure shifts is that they include motions in slower time ranges (less than milliseconds) in which many biological processes may take place.