Conformational studies of peptides: Crystal and molecular structures of L-3,4-dehydroproline and its t-butoxycarbonyl and acetyl amide derivatives

The crystal structures of L -3,4-dehydroproline, t-butoxycarbonyl-L -3,4-dehydroproline amide, and acetyl-L -3,4-dehydroproline amide have been determined. L -3,4-Dehydroproline is orthorhombic with a = 16.756, b = 5.870, c = 5.275 Å, and Z = 4; t-butoxycarbonyl-L -3,4-dehydroproline amide is orthorhombic with a = 6.448, b = 8.602, c = 21.710 Å, and Z = 4; acetyl-L -3,4-dehydroproline amide is monoclinic with a = 4.788, b = 10.880, c = 7.785 Å, β = 105.25°, and Z = 2. The final R value for the L -3,4-dehydroproline is 0.046 based on 529 reflections; for t-butoxycarbonyl-L -3,4-dehydroproline amide, 0.050 based on 792 reflections; and for acetyl-L -3,4-dehydroproline amide, 0.058 based on 632 reflections. The structures clearly establish that the free amino acid exists in the zwitterionic form in the crystalline state. The molecular conformations of the t-Boc and acetyl derivatives consist of two planes: one involving the primary amide and the other the remaining atoms of the molecule. The acetyl-L -3,4-dehydroproline amide contains a tertiary amide bond in the cis conformation. To the best of our knowledge, this is the first example of a cis bond in an acetyl derivative of an amino acid or peptide. At variance with the previously reported proline amides, which present ? and ψ values corresponding to those of a right-handed α-helical conformation (conformation A), the t-Boc and acetyl derivatives both have ? and ψ values corresponding to a collagenlike conformation (conformation F).     

An affinity scale for the interaction of amino acid residues with nucleic acids

The affinity of amino acid residues to nucleic acids is probed by measurements of melting temperatures t_m for the helix–coil transition at various concentrations of amino acid amides. The increase of t_m on addition of ligand is described by the equation t_m = t*_m + αlog(1+K_tc_λ), where t*_m is the melting temperature in the absence of ligand, c_λ the ligand concentration, and K_t the “t_m-onset” constant, which is analogous to an equilibrium constant. It is shown that K_t is closely related to the affinity of the ligands to the double helix, whereas the slope α mainly reflects the preference of the ligand binding to the helix versus the coil form. In the case of the amino acid amides, α is found to be virtually independent of the nature of the side chain with few exceptions, e. g., aromatic amides. The t_m-onset constant, however, strongly depends on the nature of the amino acid side chain. For simple aliphatic amino acids, the relative free energy of binding decreases with increasing hydrophobic free energy, e.g., a high affinity is found for Gly-amide and a low affinity for Leu-amide. This relation is modified by functional groups like OH in Ser-amide. The helices poly[d(A-T)], ploy[d(I-C)]. and poly[d(A-C)]·poly[d(G-T)] exhibit similar affinity scales with relatively small variations. Our results demonstrate that the hydrophilic character of double helices at their surface disfavors binding of hydrophobic ligands unless special contacts can be formed. From our results we establish an affinity scale for the binding of amino acids to double helices.     

A novel parameterization scheme for energy equations and its use to calculate the structure of protein molecules

A novel scheme for the parameterization of a type of “potential energy” function for protein molecules is introduced. The function is parameterized based on the known conformations of previously determined protein structures and their sequence similarity to a molecule whose conformation is to be calculated. Once parameterized, minima of the potential energy function can be located using a version of simulated annealing which has been previously shown to locate global and near-global minima with the given functional form. As a test problem, the potential was parameterized based on the known structures of the rubredoxins from Desulfovibrio vulgaris, Desulfovibrio desulfuricans, and Clostridium pasteurianum, which vary from 45 to 54 amino acids in length, and the sequence alignments of these molecules with the rubredoxin sequence from Desulfovibrio gigas. Since the Desulfovibrio gigas rubredeoxin conformation has also been determined, it is possible to check the accuracy of the results. Ten simulated-annealing runs from random starting conformations were performed. Seven of the 10 resultant conformations have an all-C_α rms deviation from the crystallographically determined conformation of less than 1.7 Å. For five of the structures, the rms deviation is less than 0.8 Å. Four of the structures have conformations which are virtually identical to each other except for the position of the carboxy-terminal residue. This is also the conformation which is achieved if the determined crystal structure is minimized with the same potential. The all-C_α rms difference between the crystal and minimized crystal structures is 0.6 Å. It is further observed that the “energies” of the structures according to the potential function exhibit a strong correlation with rms deviation from the native structure. The conformations of the individual model structures and the computational aspects of the modeling procedure are discussed. © 1993 Wiley-Liss, Inc.     

Insight into the structural basis of the dual inhibitory mode of Lima bean (Phaseolus lunatus) serine protease inhibitor

Bovine pancreatic trypsin was crystallized, in-complex with Lima bean trypsin inhibitor (LBTI) (Phaseolus lunatus L.), in the form of a ternary complex. LBTI is a Bowman–Birk-type bifunctional serine protease inhibitor, which has two independent inhibitory loops. Both of the loops can inhibit trypsin, however, only the hydrophobic loop is specific for inhibiting chymotrypsin. The structure of trypsin incomplex with the LBTI has been solved and refined at 2.25 Å resolution, in the space group P4_1, with R_work/R_free values of 18.1/23.3. The two binding sites of LBTI differ in only two amino acids. Lysine and leucine are the key residues of the two different binding loops positioned at the P1, and involved in binding the S1 binding site of trypsin. The asymmetric unit cell contains two molecules of trypsin and one molecule of LBTI. The key interactions include hydrogen bonds between LBTI and active site residues of trypsin. The 3D structure of the enzyme–inhibitor complex provided details insight into the trypsin inhibition by LBTI. To the best of our knowledge, this is the first report on the structure of trypsin incomplex with LBTI.     

A mining minima approach to exploring the docking pathways of p-nitrocatechol sulfate to YopH

Using the docking of p-nitrocatechol sulfate to Yersinia protein tyrosine phosphatase YopH as an example, we showed that an approach based on mining minima followed by cluster and similarity analysis could generate useful insights into docking pathways. Our simulation treated both the ligand and the protein as flexible molecules so that the coupling between their motion could be properly accounted for. Our simulation identified three docking poses; the one with the lowest energy agreed well with experimental structure. The model also predicted the side-chain conformations of the amino acids lying in the binding pocket correctly with the exception of three residues that appeared to be stabilized by two structural water molecules in the crystal structure. The implicit solvent model employed in the simulation could not capture such effects well. We also found four major pathways leading to these docking poses after the ligand entered the mouth of the binding pocket. In addition, the sulfate group of p-nitrocatechol sulfate was found to be important both in binding the ligand to the pocket and in guiding the ligand to dock into the pocket. The coupling of the motion between the protein and the ligand also played an important role in facilitating ligand loading and unloading.     

Homology modeling of human histone deacetylase 10 and design of potential selective inhibitors

Abstract

Histone deacetylases (HDACs) are implicated in the pathology of various cancers, and their pharmacological blockade has proven to be promising in reversing the malignant phenotypes. However, lack of crystal structures of some of the human HDAC isoforms (e.g., HDAC10) hinders the design of the isoform-selective inhibitor. Here, the recently solved X-ray crystal structure of Danio rerio (zebrafish) HDAC10 (Protein Data Bank (PDB) ID; 5TD7, released on 24 May 2017) was retrieved from the PDB and used as a template structure to model the three-dimensional structure of human HDAC10. The overall quality of the best model (M0017) was assessed by computing its z-score—a measure of the deviation of the total energy of the structure with respect to an energy distribution derived from random conformations and by docking of known HDAC10 inhibitors to its catalytic cavity. Furthermore, to identify potential HDAC10-selective inhibitor ligand-based virtual screening was carried out against the ZINC database. The free modeled structure of HDAC10 and its complexes with quisinostat and the highest-ranked compound ZINC19749069 were submitted to molecular dynamics simulation. The comparative analysis of root-mean-squared deviation, root-mean-squared fluctuation, radius of gyration (Rg), and potential energy of these systems showed that HDAC10-ZINC19749069 complex remained the most stable over time. Thus, M0017 could be potentially used for structure-based inhibitor against HDAC10, and ZINC19749069 may provide a scaffold for further optimization.

Communicated by Ramaswamy H. Sarma     

A hierarchical method for generating low-energy conformers of a protein-ligand complex

A novel dynamical protocol for finding the low-energy conformations of a protein-ligand complex is described. The energy functions examined consist of an empirical force field with four different dielectric screening models; the generalized Born/surface area model also is examined. Application of the method to three complexes of known crystal structure provides insights into the energy functions used for selecting low-energy docked conformations and into the structure of the binding-energy surface. Evidence is presented that the local energy minima of a ligand in a binding site are arranged in a hierarchical fashion. This observation motivates the construction of a hierarchical docking algorithm that substantially enriches the population of ligand conformations close to the crystal conformation. The algorithm is also adapted to permit docking into a flexible binding site and preliminary tests of this method are presented. Proteins 33:475–495, 1998. © 1998 Wiley-Liss, Inc.     

The structural basis for peptide selection by the transport receptor OppA

Oligopeptide‐binding protein A (OppA) from Lactococcus lactis binds peptides of an exceptionally wide range of lengths (4–35 residues), with no apparent sequence preference. Here, we present the crystal structures of OppA in the open‐ and closed‐liganded conformations. The structures directly explain the protein's phenomenal promiscuity. A huge cavity allows binding of very long peptides, and a lack of constraints for the position of the N and C termini of the ligand is compatible with binding of peptides with varying lengths. Unexpectedly, the peptide's amino‐acid composition (but not the exact sequence) appears to have a function in selection, with a preference for proline‐rich peptides containing at least one isoleucine. These properties can be related to the physiology of the organism: L. lactis is auxotrophic for branched chain amino acids and favours proline‐rich caseins as a source of amino acids. We propose a new mechanism for peptide selection based on amino‐acid composition rather than sequence.     

Conformational analysis of polytripeptides (Gly-Pro-Ala)n, (Gly-Ala-Hyp)n,and (Gly-Ala-Ala)n in connection with the problem of collagen structure

Conformational analysis of triple helics of a type of collagen was performed with typical collagen tripeptide sequences based on Gly-Pro-Ala, Gly-Ala-Hyp, and Gly-Ala-Ala. During energy minimization, the possibility of continual deformation of the pyrrolidine cycle was taken into account in order to achieve better accuracy in the resulting structure. The (Gly-Pro-Ala)_n structure is almost isomorphic to the (Gly-Pro-Hyp)_n structure obtained in the previous work [Tumanyan, V. G. & Esipova, N.G. (1982) Biopolymers 21 , 475–497]. For a collagen-type structure, the optimal conformation of (Gly-Ala-Hyp)_n tends to have a decreased unit twist (t = 15°), although the energy advantage with respect to the conformation with t = 45° is not so significant. A similar situation is observed for (Gly-Ala-Ala)_n. In this case, the energy decrease during unwinding to t = 15° from t = 45° is quite small. The conformations of (Gly-Ala-Hyp)_n and (Gly-Ala-Ala)_n with t = 15° exhibit a similarity with a triple complex of polyproline II helices—a noncoiled coil such as (Gly-Pro-Hyp)_n and (Gly-Pro-Ala)_n. A similar structure may be postulated for subcomponent cq1 of the first component of a human complement containing substantial Gly-X-Pro and Gly-X-Y tripeptide derivatives in the primary structure (X, Y = any amino acid). The results suggest that the observed helical symmetry of collagen (t = 36°) is a consequence of superposition of diffraction patterns (for sufficiently long segments) from various helices (t varies from ～15° for Gly-X-Hyp and Gly-X-Y to ～56° for Gly-Pro-Ala). For short alternating segments, some unification of different helical structures is possible.     

Towards more effective acetylcholinesterase inhibitors: a comprehensive modelling study based on human acetylcholinesterase protein–drug complex

Abstract

Alzheimer's disease is a progressive neurodegenerative disorder and as the exact cause of the disease remains unknown, it still has no cure to date. Due to the fact that, until recently, there has been no crystal structure of human AChE in complex with drugs, researchers have had to use mainly Torpedo californica homologues which were later reported to have significantly different binding sites. In this study, an energy-based pharmacophore model that has the advantages of both ligand- and structure-based approaches was generated using hAChE crystal structures in complex with drugs. This model was validated utilizing several commonly used statistical measures such as the enrichment factor, BEDROC, RIE and AUAC. A huge database consisting of around 7 million compounds with approximately 150,000,000 conformations from 8 vendors was used in virtually screening workflow, in which Lipinski’s filter and basic and precise docking algorithms were utilized. A rigorous MM-GBSA binding affinity calculation was also applied to accurately predict relative free energy that produced 361 hits. The selected top ranked 15 compounds were shown to have extra intermolecular interactions with hAChE which is an indication of a more stable complex and high binding affinity. The e-pharmacophore model and overall results obtained might be used for further experimental studies in designing the next generation of hAChE inhibitors.

Communicated by Ramaswamy H. Sarma     

Conformational studies of heterochiral peptides with diastereoisomeric residues: Crystal and molecular structures of linear dipeptides derived from leucine,isoleucine, and allo-isoleucine

The x-ray diffraction analyses of three N- and C-terminally blocked L , D dipeptides, namely t-Boc-D -Leu-L -Leu-OMe ( 1 ), t-Boc-L -Ile-D -alle-OMe ( 2 ), and t-Boc-D -aIle-L -Ile-OMe (3) containing enantiomeric or diastereomeric amino acid residues have been carried out. The structures were determined by direct methods and refined anisotropically to final R factors of 0.077. 0.058. and 0.072 for ( 1 ) ( 2 ) and ( 3 ), respectively. Peptides 1–3 all assume a similar U-shaped structure with ? and ψ torsion angles cosrresponding to one of the possible calculated minimum energy regions (regions E and G for L residues, and F*. D* and H* for D residues). The peptide backbones of 1-3 are almost super-imposable [provided that the appropriate inversion of the chiral centers of ( 2 ) is made]. Side-chain conformations of Leu residues in peptide ( 1 ) are g^? (tg^?) for the L -Leu residue and the mirrored g⁺ (tg⁺) for the D -Leu residue; however, in peptides ( 2 ) and ( 3 ) the conformations of the isoconfiguralional side chains of the Ile or allo-Ile residues are (g^?t) t and (tg⁺) tfor the L -Ile and the D -allo-Ile moieties, respectively. In all cases, these conformations correspond to the more populated conformers of β-branched residues statistically found in crystal structures of small peptides. The results seem to indicate that, at least in short peptides with enantiomeric or diastereoisomeric residues, the change in chirality in the main-chain atoms perturbs the backbone conformation to a lesser extent and the side chain conformation to a greater extent. © 1995 John Wiley & Sons, Inc.     

Chirospecific synthesis of D and Lp-chlorohomophenylalanine N-t-BOC DCHA salts

Summary The chirospecific conversions of D-glucosamine hydrochloride and D-mannosamine hydrochloride to the configurationally stable L and D isomers of N-t-butyloxycarbonylserinal were carried out byt-butylcarbonylation followed by sodium borohydride reduction and sodium meta-periodate oxidation. Reaction of the L and D aldehydes with the Wittig reagent prepared from 4-chlorobenzyltriphenylphosphonium chloride and butyl lithium followed by catalytic hydrogenation, Jones oxidation and salt formation with dicyclohexylamine gave the DCHA salts of the D and L isomers ofp-chlorohomophenylalanine N-t-Boc in high enatiomeric excess. The optical purity of the title compounds was established by hydrolysis to the respective free amino acids, followed by chiral derivatization and HPLC analysis.This was presented at the Fifth International Kyoto Conference on new Aspects of Organic Chemistry, Kyoto, Japan, November 11–15, 1991. Abstract #GO-13.     

Incorporation of β‐amino acids into ascidiacyclamides: Effects on conformation,cytotoxicity and interaction with copper (II) ion

Seven ascidiacyclamide [cyclo(–Ile–oxazoline–d ‐Val–thiazole–)₂] (ASC) analogues incorporating the β‐amino acids βIle, βoxazoline, and/or d ‐βVal were synthesized. We then investigated the effects of the position and number of incorporated β‐amino acids on the structure, cytotoxicity, and copper binding by these seven analogues. The structural analyses revealed that both βIle and d ‐βVal favor a gauche‐type θ torsion angles, while βoxazoline favors a trans‐type θ torsion angle. Expansion of the macrocycle by incorporation of βIle or d ‐βVal readily induced molecular folding. On the other hand, the incorporation of two βoxazoline residues strongly extended the peptide conformation, and the incorporation of one was sufficient for the moderate restriction important for conformational equilibrium and cytotoxicity. Despite expansion of the macrocycles, the structure‐cytotoxicity relationships were largely maintained. In studies of complexation of the analogues with Cu (II) ion, the position and number of incorporated β‐amino acids had a large impact on the structure of the metal complex and may contribute to its stabilization.     

Structural basis of typhoid: Salmonella typhi type IVb pilin (PilS) and cystic fibrosis transmembrane conductance regulator interaction

The type IVb pilus of the enteropathogenic bacteria Salmonella typhi is a major adhesion factor during the entry of this pathogen into gastrointestinal epithelial cells. Its target of adhesion is a stretch of 10 residues from the first extracellular domain of cystic fibrosis transmembrane conductance regulator (CFTR). The crystal structure of the N‐terminal 25 amino acid deleted S. typhi native PilS protein (ΔPilS), which makes the pilus, was determined at 1.9 Å resolution by the multiwavelength anomalous dispersion method. Also, the structure of the complex of ΔPilS and a target CFTR peptide, determined at 1.8 Å, confirms that residues 113–117 (NKEER) of CFTR are involved in binding with the pilin protein and gives us insight on the amino acids that are essential for binding. Furthermore, we have also explored the role of a conserved disulfide bridge in pilus formation. The subunit structure and assembly architecture are crucial for understanding pilus functions and designing suitable therapeutics against typhoid. Proteins 2009. © 2009 Wiley‐Liss, Inc.     

Superimposing the 27 crystal protein/inhibitor complexes of β-secretase to calculate the binding affinities by the linear interaction energy method

BACE-1 is an important target for designing therapeutic agents for the treatment of Alzheimer's disease. An improved linear interaction energy (LIE) model has been developed to calculate the binding free energies of β-secretase (BACE-1) by superimposing the 27 crystal BACE-1/inhibitor complexes to put a diverse set of 27 co-crystallized ligands into the binding pocket. These co-crystallized conformations of ligands were set as the initial binding conformations for LIE simulation. The effects of two protein conformations (i.e., 1W51 and 1FKN), two sampling methods (i.e., energy minimization and hybrid Monte Carlo [HMC]), and energy terms were studied. Using 1W51 crystal structure and HMC sampling technique, the best binding affinity model for the full set of ligands was found to have a root-mean-square error of 0.996 kcal/mol.     

Ligand-induced conformational changes: improved predictions of ligand binding conformations and affinities

A computational docking strategy using multiple conformations of the target protein is discussed and evaluated. A series of low molecular weight, competitive, nonpeptide protein tyrosine phosphatase inhibitors are considered for which the x-ray crystallographic structures in complex with protein tyrosine phosphatase 1B (PTP1B) are known. To obtain a quantitative measure of the impact of conformational changes induced by the inhibitors, these were docked to the active site region of various structures of PTP1B using the docking program FlexX. Firstly, the inhibitors were docked to a PTP1B crystal structure cocrystallized with a hexapeptide. The estimated binding energies for various docking modes as well as the RMS differences between the docked compounds and the crystallographic structure were calculated. In this scenario the estimated binding energies were not predictive inasmuch as docking modes with low estimated binding energies corresponded to relatively large RMS differences when aligned with the corresponding crystal structure. Secondly, the inhibitors were docked to their parent protein structures in which they were cocrystallized. In this case, there was a good correlation between low predicted binding energy and a correct docking mode. Thirdly, to improve the predictability of the docking procedure in the general case, where only a single target protein structure is known, we evaluate an approach which takes possible protein side-chain conformational changes into account. Here, side chains exposed to the active site were considered in their allowed rotamer conformations and protein models containing all possible combinations of side-chain rotamers were generated. To evaluate which of these modeled active sites is the most likely binding site conformation for a certain inhibitor, the inhibitors were docked against all active site models. The receptor rotamer model corresponding to the lowest estimated binding energy is taken as the top candidate. Using this protocol, correct inhibitor binding modes could successfully be discriminated from proposed incorrect binding modes. Moreover, the ranking of the estimated ligand binding energies was in good agreement with experimentally observed binding affinities.     

Stereochemistry of nucleic acids and polynucleotides. VI. Minimum energy conformations of dimethyl phosphate

As part of a study on the conformation of polynucleotides and nucleic acids the preferred conformations of the model conpound dimethyl phosphate are worked out using potential energy functions. In calculating the total potential energy associated with the conformation, nonbonded, torsional, and electrostatic terms have been considered. The variation of the total conformational energy is represented as a function of two torsion angles ? and ψ which are the rotations about the two phosphoester bonds. The most stable conformations are found to be the gauche–gauche conformations about these bonds. The conformations observed for phosphodiesters in the solid state and in the proposed structures of polynucleotides and nucleic acids cluster around the minimum. Also, regions of minimum energy correspond well with the typical allowed regions of a representative dinucleotide.     

Variable-Target-Function and Build-up Procedures for the Calculation of Protein Conformation. Application to Bovine Pancreatic Trypsin Inhibitor Using Limited Simulated Nuclear Magnetic Resonance Data

Abstract

An implementation of the variable-target-function procedure, first introduced by Braun and Gō [W. Braun and N. Gō, J. Mol. Biol. 186, 611–626 (1985)], has been used to generate conformations of the small protein bovine pancreatic trypsin inhibitor (BPTI), given a limited set of simulated data that could be obtained by nuclear magnetic resonance (NMR) techniques. A hybrid strategy was also used to calculate conformations of BPTI, given the same information. In the hybrid strategy, low-energy structures of medium-size fragments (decapeptides) of BPTI were generated using the variable-target-function method, followed by restrained energy optimization. The low-energy conformations were used as a basis to build up the complete fifty-eight-residue BPTI molecule. By using the variable-target-function approach, in which energy considerations were not introduced until full conformations of the entire BPTI molecule had been generated, it was not possible to obtain calculated structures with rms deviations from the X-ray conformation of less than 1.6 Å for the α-carbons. On the other hand, with the hybrid strategy, which involved the consideration of realistic energy terms in the early stages of the calculations, it was possible to calculate low-energy conformations of BPTI with rms deviations from the X-ray structure of 1.06 to 1.50 Å for the α-carbons. When the rms deviations were computed along the amino acid sequence, it was found that there was a good correlation between deviations among the calculated structures and deviations from the X-ray structure.     

Conformational analysis of the 20-residue membrane-bound portion of melittin by conformational space annealing

The conformational space of the 20-residue membrane-bound portion of melittin has been investigated extensively with the conformational space annealing (CSA) method and the ECEPP/3 (Empirical Conformational Energy Program for Peptides) algorithm. Starting from random conformations, the CSA method finds that there are at least five different classes of conformations, within 4 kcal/mol, which have distinct backbone structures. We find that the lowest energy conformation of this peptide from previous investigations is not the global minimum-energy conformation (GMEC); but it belongs to the second lowest energy class of the five classes found here. In four independent runs, one conformation is found repeatedly as the lowest energy conformation of the peptide (two of the four lowest energy conformations are identical; the other two have essentially identical backbone conformations but slightly different side-chain conformations). We propose this conformation, whose energy is lower than that found previously by 1.9 kcal/mol, as the GMEC of the ECEPP/3 force field. The structure of the proposed GMEC is less helical and more compact than the previous one. It appears that the CSA method can find several classes of conformations of a 20-residue peptide starting from random conformations utilizing only its amino acid sequence information. The proposed GMEC has also been found with a modified electrostatically driven Monte Carlo method [D. R. Ripoll, A. Liwo, and H.A. Scheraga (1998) “New Developments of the Electrostatically Driven Monte Carlo Method: Test on the Membrane-Bound Portion of Melittin,” Biopolymers, Vol. 46, pp. 117–126]. © 1998 John Wiley & Sons, Inc. Biopoly 46: 103–115, 1998     

Conformational constraints of amino acid side chains in alpha-helices

The conformational freedom of amino acid side chains is strongly reduced when the side chains occur on an α-helix. A quantitative evaluation of this freedom has been carried out by means of conformational energy computations for all naturally occurring amino acids and for α-aminobutyric acid when they are placed in the middle of a right-handed poly(L-alanine) α-helix. One of the three possible rotameric states for rotation around the C^α ? C^β bond (viz. g⁺) is excluded completely on the helix because of steric hindrance, and the relative populations of the other two rotamers (t and g^?) are altered because of steric interactions and the reduction of hydrogen-bonding possibilities. The computed tendencies of the changes in distributions of rotamers, on going from an ensemble of all backbone conformations to the α-helix, agree with the observed tendencies in proteins. Minimum-energy side-chain conformations in an α-helix have been tabulated for use in conformational energy computations on polypeptides.