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1.
We investigate the sensitivity of femtosecond Fourier transform two-dimensional infrared spectroscopy to protein secondary structure with a study of antiparallel beta-sheets. The results show that 2D IR spectroscopy is more sensitive to structural differences between proteins than traditional infrared spectroscopy, providing an observable that allows comparison to quantitative models of protein vibrational spectroscopy. 2D IR correlation spectra of the amide I region of poly-l-lysine, concanavalin A, ribonuclease A, and lysozyme show cross-peaks between the IR-active transitions that are characteristic of amide I couplings for polypeptides in antiparallel hydrogen-bonding registry. For poly-l-lysine, the 2D IR spectrum contains the eight-peak structure expected for two dominant vibrations of an extended, ordered antiparallel beta-sheet. In the proteins with antiparallel beta-sheets, interference effects between the diagonal and cross-peaks arising from the sheets, combined with diagonally elongated resonances from additional amide transitions, lead to a characteristic "Z"-shaped pattern for the amide I region in the 2D IR spectrum. We discuss in detail how the number of strands in the sheet, the local configurational disorder in the sheet, the delocalization of the vibrational excitation, and the angle between transition dipole moments affect the position, splitting, amplitude, and line shape of the cross-peaks and diagonal peaks.  相似文献   

2.
Vibrational spectra of a 12-residue beta-hairpin peptide, RYVEVBGKKILQ (HBG), stabilized by an Aib-Gly turn sequence (B = Aib) were investigated theoretically using a combination of molecular dynamics (MD) and density functional theory (DFT) calculations. Selected conformations of HBG were extracted from a classical MD trajectory and used for spectral simulations. DFT calculations, based on the Cartesian coordinate spectral property transfer protocol, were carried out for peptide structures in which all residues are replaced with Ala, except for the Aib and Gly residues, but the backbone (phi, psi, omega) structure of the original configuration is retained. The simulations provide a basis for interpretation of the HBG amide I infrared spectra in terms of structural variables such as detailed secondary structure and thermal conformational fluctuation as well as vibrational coupling as indicated by spectra of 13C isotope-labeled variants. The characteristic amide I band shape of such small beta-hairpin peptides appears to arise from the structure of the short antiparallel beta-sheet strands. The role of structural parameter fluctuation in vibrational coupling is evaluated by comparison of DFT-derived amide coupling constants for selected configurations and from transition dipole coupling calculations of coupling parameters between (13)C isotopically labeled residues for a MD-derived ensemble of configurations. Calculated results were compared with the experimentally obtained spectra for several (13)C isotope-labeled peptides of this sequence.  相似文献   

3.
The antiparallel and parallel beta sheets are two of the most abundant secondary structures found in proteins. Although various spectroscopic methods have been used to distinguish these two different structures, the linear spectroscopic measurements could not provide incisive information for distinguishing an antiparallel beta sheet from a parallel beta sheet. After carrying out quantum-chemistry calculations and model simulations, we show that the polarization-controlled two-dimensional (2D) IR photon echo spectroscopy can be of critical use in distinguishing these two different beta sheets. Particularly, the ratio between the diagonal peak and the cross peak is found to be strongly dependent on the quasi-2D array of the amide I local-mode transition dipole vectors. The relative intensities of the cross peaks in the 2D difference spectrum of an antiparallel beta sheet are significantly larger than those of the diagonal peaks, whereas the cross-peak amplitudes in the 2D difference spectrum of a parallel beta sheet are much weaker than the main diagonal-peak amplitudes. A detailed discussion on the origin of the diagonal- and cross-peak intensity distributions of both the antiparallel and parallel beta sheets is presented by examining vibrational exciton delocalization, relative angles between two different normal-mode transition dipoles, and natures of the cross peaks in the 2D difference spectrum.  相似文献   

4.
Detailed spectral simulations based on ab initio density functional theory computations of the amide I and II infrared (IR) and vibrational circular dichroism (VCD) spectra for Ac-(Ala)(4)-NH(2), Ac-(Aib-Ala)(2)-NH(2), and Ac-(Aib)(4)-NH(2) constrained to 3(10)- and alpha-helical conformations are presented. Parameters from these ab initio calculations are transferred onto corresponding larger oligopeptides to simulate the spectra for dodecamers. The differences between conformations and for different Aib substitution patterns within a conformation are reflected in observable spectral patterns where data are available. Simulated IR spectra show small frequency shifts in the amide I maxima between 3(10)- and alpha-helices, but the same magnitude shifts occur within one conformation upon Aib substitution. Thus, from a computational basis, the frequency of the amide I maximum does not discriminate between the 3(10)- or alpha-helical conformations. Calculated VCD band shapes for 3(10)-helices showed more significant changes in amplitude, with change in the fraction of Aib, than those for alpha-helices. Generally, with increasing Aib content, the overall amide I VCD intensity becomes weaker and the amide I couplet becomes more conservative, while the amide II VCD is less affected. Although the detailed band shape is shown to be sensitive to alpha-Me substitution, the basic pattern of amide I and II relative VCD intensities still differs between alpha- and 3(10)-helices and, as a consequence, successfully discriminates between them. These predictions are all borne out in experimental spectra of Aib, mixed Aib-Ala, and Ala-based helical peptides, where available.  相似文献   

5.
The crystal structure of nylon 12 prepared by polymerization of dodecalactam has been determined by x-ray diffraction. Nylon 12 fiber exhibits only the γ form as its stable crystal structure. The unit cell of nylon 12 was determined with the aid of the x-ray diffraction pattern of a doubly oriented specimen. The unit cell is monoclinic with a = 9.38 Å, b = 32.2 Å (fiber axis), c = 4.87 Å and β = 121.5° and contains four repeating monomer units. The chain is planar zigzag for the most part but is twisted at the position of amide groups, forming hydrogen bonds between neighboring parallel chains. The chain conformation is similar to that of the γ form of nylon 6 proposed by Arimoto. It was deduced from the calculations that there are two chain conformations statistically coexistent according to the direction of twisting. In each conformation, hydrogen bonds are formed between parallel chains to make pleated sheetlike structures. The sheets are nearly parallel to (200) and in the sheet the directions of the neighboring chains are antiparallel, as is the case with nylon 6.  相似文献   

6.
Amyloid fibrils are affiliated with various human pathologies. Knowledge of their molecular architecture is necessary for a detailed understanding of the mechanism of fibril formation. Vibrational circular dichroism (VCD) spectroscopy has recently shown sensitivity to amyloid fibrils [Ma et al. J. Am. Chem. Soc. 2007, 129, 12364 and Measey et al. J. Am. Chem. Soc. 2009, 131, 18218]. In particular, amyloid fibrils give rise to an intensity enhanced signal in the amide I band region of the corresponding VCD spectrum, offering promise of utilizing such a method for probing fibrillogenesis and the chiral structure of fibrils. Herein, we further investigate this phenomenon and demonstrate the use of VCD to probe the fibril formation kinetics of a short alanine-rich peptide. To elucidate the origin of the anomalous VCD intensity enhancement, we use an excitonic coupling model to simulate the VCD spectrum of stacked β-sheets containing one (Ising-like model) and two amide I oscillators per strand, as models for the underlying amyloid-fibril secondary structure. With this simple model, we show that the VCD intensity enhancement of amyloid-like fibrils results from intrasheet and, to a more limited extent, also from intersheet vibrational coupling between stacked β-sheets. The enhancement requires helically twisted sheets and is most pronounced for arrangements with parallel-oriented strands. Both the intersheet distance and the orientation of the amide I transition dipole moments of neighboring sheets are found to modulate the intensity enhancement of the amide I VCD signal. Moreover, our simulations suggest that, depending on the three-dimensional arrangement of the β-strands, the sign of the VCD signal of amyloid-like fibrils can be used to distinguish between right- and left-handed helical twists of parallel-oriented β-sheets. We compare the results of our simulation to experimental spectra of two short peptides, GNNQQNY, the N-terminal peptide fragment of the yeast prion protein Sup35, and an amyloidogenic alanine-rich peptide, AKY8. Our results demonstrate the advantages of using VCD spectroscopy to probe the kinetics of peptide and protein aggregation as well as the chirality of the resulting supramolecular structure.  相似文献   

7.
One of the important secondary structures in proteins is the β-strand. However, due to its complexity, it is less characterized than helical structures. Using the 1641 representative three-dimensional protein structure data from the Protein Data Bank, we characterized β-strand structures based on strand length and amino acid composition, focusing on differences between parallel and antiparallel β-strands. Antiparallel strands were more frequent and slightly longer than parallel strands. Overall, the majority of β-sheets were antiparallel sheets; however, mixed sheets were reasonably abundant, and parallel sheets were relatively rare. Notably, the nonpolar, aliphatic hydrocarbon amino acids, valine, isoleucine, and leucine were observed at a high frequency in both strands but were more abundant in parallel than in antiparallel strands. The relative amino acid occurrence in β-sheets, especially in parallel strands, was highly correlated with amino acid hydrophobicity. This correlation was not observed in α-helices and 3(10)-helices. In addition, we examined the frequency of 400 amino acid doublets and 8000 amino acid triplets in β-strands based on availability, a measurement of the relative counts of the doublets and triplets. We identified some triplets that were specifically found in either parallel or antiparallel strands. We further identified "zero-count triplets" which did not occur in either parallel or antiparallel strands, despite the fact that they were probabilistically supposed to occur several times. Taken together, the present study revealed essential features of β-strand structures and the differences between parallel and antiparallel β-strands, which can potentially be applied to the secondary structure prediction and the functional design of protein sequences in the future.  相似文献   

8.
The phosphorylation effect on the small peptide conformation in water has not been clearly understood yet, despite the widely acknowledged notion that control of protein activity by phosphorylation works mainly by inducing conformational change. To elucidate the detailed mechanism, we performed infrared (IR) absorption and vibrational and electronic circular dichroism studies of both unphosphorylated and phosphorylated tetrapeptides, GSSS 1 and GSSpS 2. The solution structure of the tetrapeptide is found to be little dependent on the presence of the neutral or negatively charged phosphoryl group, and to be a mixture of extended structures including polyproline II (PII) and beta-sheet conformations. The additional band at 1598 cm(-1) in the amide I IR spectrum of the phosphorylated peptide GSSpS at neutral pD appears to be clear spectroscopic evidence for direct intramolecular hydrogen-bonding interaction between the side chain dianionic phosphoryl group and the backbone amide proton. On the basis of amide I IR band analyses, the authors found that the probability of finding the phosphoryl group strongly H bonded to the backbone proton in GSSpS is about 43% at pD 7.0 and 37 degrees C. Such a H-bonding interaction in GSSpS has the biological standard enthalpy and entropy of -15.1 kJ/mol and -51.2 J/K mol, respectively. Comparisons between the experimentally measured IR and VCD spectra and the numerically simulated ones suggested that the currently available force field parameters need to be properly modified. The results in this paper may shed light on an unknown mechanism of controlling the peptide conformation by phosphorylation.  相似文献   

9.
The crystal structures of four protected beta-amino acid residues, Boc-(S)-beta3-HAla-NHMe (1); Boc-(R)-beta3-HVal-NHMe (2); Boc-(S)-beta3-HPhe-NHMe (3); Boc-(S)-beta3-HPro-OH (6) and two beta-dipeptides, Boc-(R)-beta3-HVal-(R)-beta3-HVal-OMe (4); Boc-(R)-beta3-HVal-(S)-beta3-HVal-OMe (5) have been determined. Gauche conformations about the C(beta)-C(alpha) bonds (theta approximately +/-60 degrees) are observed for the beta3-HPhe residues in and all four beta3-HVal residues in the dipeptides and . Trans conformations (theta is approximately 180 degrees) are observed for beta3-HAla residues in both independent molecules in and for the beta3-HVal and beta3-HPro residues in and , respectively. In the cases of compounds , molecules associate in the crystals via intermolecular backbone hydrogen bonds leading to the formation of sheets. The polar strands formed by beta3-residues aggregate in both parallel (1,3,5) and antiparallel (2,4 fashion. Sheet formation accommodates both the trans and gauche conformations about the C(beta)-C(alpha) bonds.  相似文献   

10.
The N-acetylated hexapeptide WLLLLL (AcWL5) partitions into lipid membranes and is believed to assemble into an antiparallel beta-sheet. As a test of this structural assignment, the peptide bonds of residues 2-6 were labeled with (13)C and allowed to adsorb onto a supported lipid membrane. Peptides bound to the membrane were examined for evidence of coupling between the labeled vibrational modes in adjacent beta-strands with internal reflection infrared spectroscopy. Experimental results indicate that the amide I absorption band in D(2)O (i.e., amide I') attributable to (13)C is selectively enhanced when the label is at any one of several positions along the peptide backbone. Simulations employing an excitonic model with through-bond and through-space interactions were performed on AcWL5 models in parallel and antiparallel beta-sheet configurations. The simulations yield spectra in good agreement with the experimental results, accounting for the enhancement of both (13)C band intensities and band frequencies. They also yield insight into the physical origin and structure selectivity of the distinctive amide I' band shapes that arise in isotopically edited spectra. It is concluded that the beta-sheet formed by membrane-bound AcWL5 is indeed antiparallel, and the enhancement of (13)C bands in the infrared spectra of these peptides is caused by both interstrand and intrastrand coupling to (12)C modes.  相似文献   

11.
Isotopic substitution with 13C on the amide C=O has become an important means of determining localized structural information about peptide conformations with vibrational spectroscopy. Various approaches to the modeling of the interactions between labeled amide sites, specifically for antiparallel two-stranded, beta-forming peptides, were investigated, including different force fields [dipole-dipole interaction vs density functional theory (DFT) treatments], basis sets, and sizes of model peptides used for ab initio calculations, as well as employing models of solvation. For these beta-sheet systems the effect of the relative positions of the 13C isotopic labels in each strand on their infrared spectra was investigated. The results suggest that the interaction between labeled amide groups in different strands can be used as an indicator of local beta-structure formation, because coupling between close-lying C=O groups on opposing chains leads to the largest frequency shifts, yet some alternate placements can lead to intensity enhancements. The basic character of the coupling interaction between labeled modes on opposing strands is independent of changes in peptide length, water solvent environment, twisting of the sheet structure, and basis set used in the calculations, although the absolute frequencies and detailed coupling magnitudes change under each of these perturbations. In particular, two strands of three amides each contain the basic interactions needed to simulate larger sheets, with the only exception that the C=O groups forming H-bonded rings at the termini can yield different coupling values than central ones of the same structure. Spectral frequencies and intensities were modeled ab initio by DFT primarily at the BPW91/6-31G** level for pairs of three, four, and six amide strands. Comparison to predictions of a classical coupled oscillator model show qualitative but not quantitative agreement with these DFT results.  相似文献   

12.
The vibrational Raman optical activity (ROA) spectrum of a polypeptide in a model beta-sheet conformation, that of poly(l-lysine), was measured for the first time, and the alpha-helix --> beta-sheet transition monitored as a function of temperature in H(2)O and D(2)O. Although no significant population of a disordered backbone state was detected at intermediate temperatures, some side chain bands not present in either the alpha-helix or beta-sheet state were observed. The observation of ROA bands in the extended amide III region assigned to beta-turns suggests that, under our experimental conditions, beta-sheet poly(L-lysine) contains up-and-down antiparallel beta-sheets based on the hairpin motif. The ROA spectrum of beta-sheet poly(L-lysine) was compared with ROA data on a number of native proteins containing different types of beta-sheet. Amide I and amide II ROA band patterns observed in beta-sheet poly(L-lysine) are different from those observed in typical beta-sheet proteins and may be characteristic of an extended flat multistranded beta-sheet, which is unlike the more irregular and twisted beta-sheet found in most proteins. However, a reduced isoform of the truncated ovine prion protein PrP(94-233) that is rich in beta-sheet shows amide I and amide II ROA bands similar to those of beta-sheet poly(L-lysine), which suggests that the C-terminal domain of the prion protein is able to support unusually flat beta-sheets. A principal component analysis (PCA) that identifies protein structural types from ROA band patterns provides a useful representation of the structural relationships among the polypeptide and protein states considered in the study.  相似文献   

13.
The structural analysis of natural protein fibers with mixed parallel and antiparallel beta-sheet structures by solid-state NMR is reported. To obtain NMR parameters that can characterize these beta-sheet structures, (13)C solid-state NMR experiments were performed on two alanine tripeptide samples: one with 100% parallel beta-sheet structure and the other with 100% antiparallel beta-sheet structure. All (13)C resonances of the tripeptides could be assigned by a comparison of the methyl (13)C resonances of Ala(3) with different [3-(13)C]Ala labeling schemes and also by a series of RFDR (radio frequency driven recoupling) spectra observed by changing mixing times. Two (13)C resonances observed for each Ala residue could be assigned to two nonequivalent molecules per unit cell. Differences in the (13)C chemical shifts and (13)C spin-lattice relaxation times (T(1)) were observed between the two beta-sheet structures. Especially, about 3 times longer T(1) values were obtained for parallel beta-sheet structure as compared to those of antiparallel beta-sheet structure, which could be explicable by the difference in the hydrogen-bond networks of both structures. This very large difference in T(1) becomes a good measure to differentiate between parallel or antiparallel beta-sheet structures. These differences in the NMR parameters found for the tripeptides may be applied to assign the parallel and antiparallel beta-sheet (13)C resonances in the asymmetric and broad methyl spectra of [3-(13)C]Ala silk protein fiber of a wild silkworm, Samia cynthia ricini.  相似文献   

14.
High-resolution terahertz absorption spectra (0.06-3 THz) have been obtained at 4.2 K for three crystalline forms of trialanine [H2+-(Ala)3-O-]. The crystal structures differ in their beta-sheet forms (parallel vs antiparallel) and in their water composition (hydrated vs dehydrated antiparallel beta-sheet). The spectra are nearly vibrationally resolved, with little absorption below 1 THz. In sharp contrast to observations made in the mid-IR region, the spectral patterns of all three forms are qualitatively different, illustrating the extreme sensitivity to changes in the intermolecular hydrogen-bonding networks that stabilize peptide crystals. Predictions obtained from a classical force field model (CHARMM) and density functional theory (DFT/PW91) for periodic solids are compared with the X-ray structural data and the terahertz absorption spectra. In general, the results for the parallel beta-sheet are in better agreement with experiment than those for the antiparallel beta-sheet. For all three structures, however, most hydrogen bond distances are underestimated at both levels of theory, and the predicted absorption features are significantly red-shifted for the two antiparallel beta-sheet structures. Moreover, the nuclear motions predicted at the two levels of theory are qualitatively different. These results indicate that the PW91 functional is not sufficient to treat the weak intersheet hydrogen bonding present in the different beta-sheet forms and strongly suggest the need for improved force field models that include three-atom hydrogen-bonding terms for periodic solids.  相似文献   

15.
Molecular dynamics simulations are performed to explore important conformations of cyclosporin A, an immunosuppressive cyclic undecapeptide drug, in different media including gas-phase, chloroform, and acetonitrile. Density functional theory calculations are used to refine the low-lying conformers and to predict their infrared and vibrational circular dichroism spectra. Vibrational spectral signatures in the important amide II, I, and A regions are identified for typical peptide secondary structures including β-turn (type II' or I), antiparallel β-sheet (flat or twisted), inverse γ-turn, N-methylated peptide bond, and side chain H-bond. New insights into the spectral signatures of secondary structures especially with N-methylation and side chain hydrogen bond are provided, which can be very useful for further peptide conformation analysis in general.  相似文献   

16.
Replacement of the alpha-proton of an alanine residue to generate alpha-aminoisobutyric acid (Aib) in alanine-based oligopeptides favors the formation of a 3(10) helix when the length of the oligopeptide is about four to six residues. This research was aimed at experimentally identifying the structural impact of an individual Aib residue in an alanine context of short peptides in water and Aib's influence on the conformation of nearest-neighbor residues. The amide I band profile of the IR, isotropic and anisotropic Raman, and vibrational circular dichroism (VCD) spectra of Ac-Ala-Ala-Aib-OMe, Ac-Ala-Aib-Ala-OMe, and Ac-Aib-Ala-Ala-OMe were measured and analyzed in terms of different structural models by utilizing an algorithm that exploits the excitonic coupling between amide I' modes. The conformational search was guided by the respective 1H NMR and electronic circular dichroism spectra of the respective peptides, which were also recorded. From these analyses, all peptides adopted multiple conformations. Aib predominantly sampled the right-handed and left-handed 3(10)-helix region and to a minor extent the bridge region between the polyproline (PPII) and the helical regions of the Ramachandran plot. Generally, alanine showed the anticipated PPII propensity, but its conformational equilibrium was shifted towards helical conformations in Ac-Aib-Ala-Ala-OMe, indicating that Aib can induce helical conformations of neighboring residues positioned towards the C-terminal direction of the peptide. An energy landscape exploration by molecular dynamics simulations corroborated the results of the spectroscopic studies. They also revealed the dynamics and pathways of potential conformational transitions of the corresponding Aib residues.  相似文献   

17.
Vibrational circular dichroism (VCD) has had a large impact on configurational studies of organic molecules largely due to the theoretical advances made by Philip Stephens and co-workers. For peptides, the structural issue is not one of the configuration, but of conformation, and the flexibility of the oligomeric structure raises major computational challenges. Turns are a vital aspect of peptide and protein conformation that allow such structures to fold into a compact unit. However, unlike helices and sheets, they are not extended repeating structures, but each residue has a different local conformation. Also, when turns are part of larger peptides their termini are connected to completely different structural elements. We have done extended comparative density functional theory (DFT) computations to characterize the expected spectral contributions of selected turn structures to the amide IR and VCD spectra of peptides. The isolated vacuum results for tri-amide turns (Ac-X-Y-NH2) of a few different sequences are compared with calculations involving correction for solvation effects. In particular, we looked at the sequence variation in spectra and structure between Ala-Ala, Aib-Gly and D-Pro-Gly for the turn-specific X–Y residues. The nature of some turn-associated, amide originating, spectral transitions are developed and tested.  相似文献   

18.
Molecular mechanics energy calculations coupled with nuclear magnetic resonance-determined distance and torsion angle constraints have been used to determine the three-dimensional structure of tyrocidine A, a cyclic decapeptide which exists largely as a single conformation in solution. Two open-chain polyalanine models were used to represent separate halves of the peptide backbone and a combinatorial method of searching conformation space used to generate candidate structures consistent with experimental distance constraints. These structures were energy-minimized using the AMBER molecular mechanics forcefield and the resulting conformations classified by factor analysis of their Cartesian coordinates. Representative low-energy conformers of the two halves of the backbone were fused together and two candidate conformations of the completed backbone refined by further minimization using both distance and torsional constraints. Side chains were then added as their experimentally preferred rotamers and the whole molecule minimized without constraints to give the final model structure. This shows type II' and III ß turns at residues 4–5 and 9–10, respectively, coupled by twisted antiparallel strands which show hydrogen bonds between all four pairs of opposing peptide groups. The backbone conformation of residues 2–6 closely resembles that found in the crystal structure of gramicidin S.  相似文献   

19.
In this contribution we report optical spectroscopic data on a series of designed beta hairpins previously shown by NMR to contain a substantial population of beta-sheet structure. These models contain a designed hydrophobic cluster and a (D)Pro-Gly sequence to promote formation of a turn geometry. FTIR, electronic and vibrational CD (ECD and VCD) spectra for these small peptides are comparable to expected bandshapes for peptides of high beta-sheet content. The (D)Pro-Gly sequence provides a better turn motif than Asn-Gly as measured by its beta-sheet spectral characteristics. IR and VCD spectra are in qualitative agreement with theoretical simulations based on transfer of parameters from ab initio quantum mechanical force field and intensity computations for the turn and strands. These calculations provide assignments for some distinguishing modes in both IR and VCD spectra. Increased sheet structure can be induced in these hairpins by use of mixed solvent conditions. Thermal denaturation studies reveal that these hairpins undergo very broad unfolding transitions. Guanidine hydrochloride unfolding transitions for the selected hairpin models are similarly broad. However, the "end-states" of temperature and chaotropic denaturation are spectroscopically differentiable.  相似文献   

20.
Using idealized models for parallel and antiparallel beta sheets, we calculate the linear and two-dimensional infrared spectra of the amide I vibration as a function of size and secondary structure. The model assumes transition-dipole coupling between the amide I oscillators in the sheet and accounts for the anharmonic nature of these oscillators. Using analytical and numerical methods, we show that the nature of the one-quantum vibrational eigenstates, which govern the linear spectrum, is, to a large extent, determined by the symmetry of the system and the relative magnitude of interstrand interactions. We also find that the eigenstates, in particular their trends with system size, depend sensitively on the secondary structure of the sheet. While in practice these differences may be difficult to distinguish in congested linear spectra, we demonstrate that they give rise to promising markers for secondary structure in the two-dimensional spectra. In particular, distinct differences occur between the spectra of parallel and antiparallel beta sheets and between beta hairpins and extended beta sheets.  相似文献   

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