Theoretical Studies of β-Peptide Models

Hybrid α/β-peptides: For-Met-Leu-Phe-OMe analogues containing geminally disubstituted β2,2- and β3,3-amino acids at the central position

The two fMLF-OMe analogues For-Met-beta(3)hAc(6)c-Phe-OMe (6) and For-Met-beta(2)hAc(6)c-Phe-OMe (12) and their corresponding N-Boc derivatives 5 and 11 have been synthesized and their biological activity towards human neutrophils evaluated. The N-formyl peptides 6 and 12 exhibit good activity as chemoattractans and 12 is highly active in superoxide anion production. The preferred solution conformation of the two N-formyl derivatives has been discussed.

Helices in peptoids of alpha- and beta-peptides

Peptoids of alpha- and beta-peptides (alpha- and beta-peptoids) can be obtained by shifting the amino acid side chains from the backbone carbon atoms of the monomer constituents to the peptide nitrogen atoms. They are, therefore, N-substituted poly-glycines and poly-beta-alanines, respectively. Due to the substituted nitrogen atoms, the ability for hydrogen bond formation between peptide bonds gets lost. It may be very interesting to see whether such non-natural oligomers could be regarded as foldamers, which fold into definite backbone conformers. In this paper, we provide a complete overview on helix formation in alpha- and beta-peptoids on the basis of systematic theoretical conformational analyses employing the methods of ab initio molecular orbital (MO) theory. It can be shown that the alpha- and beta-peptoid structures form helical structures with both trans and cis peptide bonds despite the missing hydrogen bonds. Obviously, the conformational properties of the backbone are more important for folding than the possibility of hydrogen bonding. There are close relationships between the helices of alpha-peptoids and poly-glycine and poly-proline helices of alpha-peptides, whereas the helices of beta-peptoids correspond to the well-known helical structures of beta-peptides as, for instance, the 3(1)-helix of beta-peptides with 14-membered hydrogen-bonded rings. Thus, alpha- and beta-peptoids enrich the field of foldamers and may be used as useful tools in peptide and protein design.

Toward a rational design of beta-peptide structures

Intrinsic conformational characteristics of beta-peptides built up from simple achiral and chiral beta-amino acid residues (i.e., HCO-beta-Ala-NH2, HCO-beta-Abu-NH2) were studied using quantum chemical calculations and 1H-NMR spectroscopy. A conformer-based systematic and uniform nomenclature was introduced to differentiate conformers. Geometry optimizations were performed on all homoconformers of both HCO-(beta-Ala)(k)-NH2 and HCO-(beta-Abu)(k)-NH2 (1 < or = k < or = 6) model systems at the RHF/3-21G and RHF/6-311++G(d, p) levels of theory. To test for accuracy and precision, additional computations were carried out at several levels of theory [e.g., RHF/6-31G(d), and B3LYP/6-311++G(d, p)]. To display the folding preference, the relative stability of selected conformers as function of the length of the polypeptide chain was determined. Ab initio population distribution of hexapeptides and the conformational ensemble of synthetic models composed of beta-Ala and beta-Abu studied using 1H-NMR in different solvents were compared at a range of temperatures. Helical preference induced by various steric effects of nonpolar side chains was tested using higher level ab initio methods for well-known model systems such as: HCO-(beta-HVal-beta-HAla-beta-HLeu)2-NH2, HCO-(ACHC)6-NH2, HCO-(trans-ACPC)6-NH2, and HCO-(cis-ACPC)6-NH2. The relative stabilities determined by theoretical methods agreed well with most experimental data, supporting the theory that the local conformational preference influenced by steric effects is a key determining factor of the global fold both in solution and in the gas phase.

Helix Formation in α,γ- and β,γ-Hybrid Peptides: Theoretical Insights into Mimicry of α- and β-Peptides

Alpha,gamma- and beta,gamma-hybrid peptides, which are composed of two different homologous amino acid constituents in alternate order, are suggested as novel classes of peptide foldamers. On the basis of a systematic conformational search employing the methods of ab initio MO theory, the possibilities for the formation of periodic secondary structures in these systems are described. The conformational analysis provides a great number of helix conformers widely differing in energy, which can be arranged into three groups: (i) helices with all hydrogen bonds formed in forward direction along the sequence, (ii) helices with all hydrogen bonds in backward direction, and (iii) helices with alternate hydrogen-bond directions (mixed or beta-helices). Most stable are representatives of beta-helices, but their stability decreases considerably in more polar environments in comparison to helix conformers from the other two classes. There is a great similarity between the overall topology of the most stable hybrid peptide helices and typical helices of peptides which are exclusively composed of a single type of homologous amino acids. Thus, the helices of the beta,gamma-hybrid peptides mimic perfectly those of the native alpha-peptides as, for instance, the well-known alpha-helix, whereas the most stable helix conformers of alpha,gamma-hybrid peptides correspond well to the overall structure of beta-peptide helices. The two suggested novel hybrid peptide classes expand considerably the pool of peptide foldamers and may be promising tools in peptide design and in material sciences.

Peptides of aminoxy acids as foldamers

This Feature Article summarizes our efforts in developing a new family of foldamers from alpha-, beta- and gamma-aminoxy acids. From a series of conformational studies, we demonstrate that peptides consisting of aminoxy acids adopt several well-defined secondary structures, such as alpha N-O turns (which feature an eight-membered-ring hydrogen bond), beta N-O turns (a nine-membered-ring hydrogen bond), gamma N-O turns (a ten-membered-ring hydrogen bond), 1.8(8) helices (consecutive homochiral alpha N-O turns), 7/8 helices (alternating alpha N-O turns and gamma-turns), 1.7(9) helices (consecutive beta N-O turns), reverse turns (consecutive heterochiral alpha N-O turns) and sheet-like structures.

Application of alicyclic β-amino acids in peptide chemistry

The self-organizing beta-peptides have attracted considerable interest in the fields of foldamer chemistry and biochemistry. These compounds exhibit various stable secondary structure motifs that can be exploited to construct biologically active substances and nanostructured tertiary structures. The secondary structures can be controlled via the beta-amino acid sequence, and cyclic beta-amino acid residues play a crucial role in the design. The most important procedures for the preparation of cyclic beta-amino acid monomers and peptides are discussed in this tutorial review. Besides the secondary structure design principles, the methods of folded structure detection are surveyed.

Theoretical prediction of the basic helix types in α,β-hybrid peptides

This study provides a complete overview on all possible helical- folding patterns, their stabilities, and their detailed molecular structure in the novel foldamer class of alpha,beta-hybrid peptides on the basis of ab initio molecular orbital (MO) theory. The results indicate a considerable intrinsic potential of backbone folding. As found for other peptide foldamers, representatives of mixed or beta-helices are most stable in more apolar media, whereas polar environments favor the helices with the hydrogen bonds pointing in only one direction. The theoretical results confirm the hydrogen-bonding patterns found in the first experimental studies on these hybrid peptides. Selecting special backbone substitution patterns, the secondary structure potential of the alpha,beta-hybrid peptides could be of great importance for a rational peptide and protein design.

Helices and other secondary structures of β- and γ-peptides

The principal secondary structural motifs adopted by peptides assembled from beta-amino acid units are discussed: the 14-, 12-, 10-, 12/10-, and 8-helices, as well as the hairpin turn, extended structures, stacks, and sheets. Features that promote a particular folding propensity are outlined and illustrated by structures determined in solution (NMR) and in the solid-state (x-ray). The N-C(beta)-C(alpha)-CO dihedral angles from molecular dynamics simulations, which are indicative of a particular secondary structure, are presented. A brief description of a helix and a turn of gamma-peptides is also given.

Alpha-peptide/beta-sulfonamidopeptide hybrids: analogs of the chemotactic agent for-Met-Leu-Phe-OMe

In order to gain information on the activity shown by alpha-peptide/beta-sulfonamidopeptide hybrid analogs of the potent chemotactic agent fMLF-OMe, a structure-activity study is reported on N-Boc- and N-formyl tripeptide models containing an aminoalkanesulfonic acid as central residue. Directed migration (chemotaxis), superoxide anion production, and lysozyme release have been measured. The biochemical functions and the conformational properties of the new compounds are discussed and related to previously studied models containing beta-residues.

Expanding the conformational pool of cis-beta-sugar amino acid: accommodation of beta-hGly motif in robust 14-helix

Tendencies of forming stable helices of heterooligomers composed of alternating rigid cis-beta-sugar amino acid and flexible beta-hGly motifs have been investigated, using a combination of molecular mechanics, CD, FT-IR, and NMR techniques. The results show that the solution structures of these oligomers exist as robust right-handed 14-helices. Here, we examine the role of conformationally rigid cis-beta-sugar amino acid in preorganizing the conformation of beta-hGly to form the 14-helix. Our findings also show that a right-handed 14-helix can be formed with as few as four properly sequenced heterogeneous residues. These results represent the expansion of the conformational pool of sugar amino acid in the design of well-folded 14-helices, which can be used to develop beta-peptides endowed with biological activity.

Helix-Forming Carbohydrate Amino Acids

[reaction: see text] The solution-phase conformational properties of tetrameric and octameric chains of C-glycosyl alpha-d-lyxofuranose configured tetrahydrofuran amino acids (where the C-2 and C-5 substituents on the tetrahydrofuran ring are trans to each other) were examined using NMR and IR and CD in organic solvents. Studies by NMR and IR demonstrated that in chloroform solution, the tetramer 7 does not adopt a hydrogen-bonded conformation whereas the octamer 10 populates a well-defined helical secondary structure stabilized by 16-membered (i, i - 3) interresidue hydrogen bonds, similar to a pi-helix. Circular dichroism studies in trifluoroethanol are consistent with this conformation for the octamer 10, and also indicate that the tetramer 7 adopts a rigid conformation not stabilized by hydrogen bonds.

Control of Helix Formation in Vinylogous γ-Peptides by (E)- and (Z)-Double Bonds: A Way to Ion Channels and Monomolecular Nanotubes

[structure: see text] A complete overview on the alternative and competitive helices in vinylogous gamma-peptides is given, which was obtained on the basis of a systematic conformational analysis at various levels of ab initio MO theory (HF/6-31G*, DFT/B3LYP/6-31G*, PCM/HF/6-31G*). Contrary to the parent gamma-peptides, there is a strict control of helix formation by the configuration of the double bond between the C(alpha) and C(beta) atoms of the monomer constituents. (E)-Double bonds favor helices with larger pseudocycles beginning with 14- up to 27-membered hydrogen-bonded rings, whereas the (Z)-configuration of the double bonds supports a distinct preference of helices with smaller seven- and nine-membered pseudocycles showing interactions between nearest-neighbor peptide bonds. The rather stable helices of the (E)-vinylogous peptides with 22-, 24-, and 27-membered hydrogen-bonded pseudocycles have inner diameters large enough to let molecules or ions pass. Thus, they could be interesting model compounds for the design of membrane channels and monomolecular nanotubes. Since (E)- and (Z)-vinylogous gamma-amino acids and their oligomers are synthetically accessible, our study may stimulate structure research in this novel field of foldamers.

Formation of a stable 14-helix in short oligomers of furanoid cis-beta-sugar-amino acid

Oligomers of a new class of sugar amino acids (SAA) using a xylofuranoic acid has been shown to generate a robust 14-helix. The design involved the use of xylofuranose with a cis arrangement between the amine and carboxyl groups to promote the adoption of a 14-helix instead of a mixed 12/10-helix observed in a sugar oligomer using a ribofuranoic acid and beta-Ala. The observation of a stable right-handed 14-helix in a cis-SAA is unprecedented.

δ-Peptides and δ-Amino Acids as Tools for Peptide Structure DesignA Theoretical Study

An overview on all possible helix types in oligomers of delta-amino acids (delta-peptides) and their stabilities is given on the basis of a systematic conformational analysis employing various methods of ab initio MO theory (HF/6-31G*, B3LYP/6-31G*, PCM//HF/6-31G*). A wide variety of novel helical structures with hydrogen-bonded pseudocycles of different size are predicted. Since a delta-amino acid constituent may replace a dipeptide unit in alpha-peptides, there are close relationships between the secondary structures of peptides with delta-amino acid residues and typical secondary structures of alpha-peptides. However, the preference of gauche conformations at the central C(beta)-C(gamma) bonds of delta-amino acids, which correspond to the peptide linkages in alpha-peptides, over staggered ones makes completely novel structure alternatives for helices and turns more probable. The peculiarities of beta-turn formation by sugar amino acids derived from delta-amino acids are compared with the turn formation in delta-amino acid residues and in alpha-peptides. The considerable potential of secondary structure formation in delta-peptides and single delta-amino acid constituents predicted by ab initio MO theory may stimulate experimental work in the field of peptide and foldamer design.

14-Helical Folding in a Cyclobutane-Containing β-Tetrapeptide

The efficient synthesis of tetrapeptide 5 containing, in alternation, cyclobutane and beta-alanine residues is described. NMR experiments both at low temperature in CDCl(3) and at 298 K in DMSO-d(6) solutions show the contribution of a strong hydrogen bond in the folded major conformation of 5. Temperature coefficients and diffusion times point out a hydrogen bond involving the NH proton from the cyclobutane residue 1 whereas NOEs manifest the high rigidity of the central fragment of the molecule and are compatible with a 14-membered macrocycle. Theoretical calculations predict a most stable folded conformation corresponding to a 14-helix stabilized by a hydrogen bond between NH(10) in the first residue and OC(25) in the third residue. This structure remains unaltered during the molecular dynamics simulation at 298 K in chloroform. All these results provide evidence for a 14-helical folding and reveal the ability of cis-2-aminocyclobutane carboxylic acid residues to promote folded conformations when incorporated into beta-peptides.

On the flexibility of beta-peptides

The full conformational space was explored for an achiral and two chiral beta-peptide models: namely For-beta-Ala-NH2, For-beta-Abu-NH2, and For-beta-Aib-NH2. Stability and conformational properties of all three model systems were computed at different levels of theory: RHF/3-21G, B3LYP/6-311++G(d,p)//RHF/3-21G, B3LYP/6-311++G(d,p), MP2//B3LYP/6-311++G(d,p), CCSD//B3LYP/6-311++G(d,p), and CCSD(T)//B3LYP/6-311++G(d,p). In addition, ab initio E = E(phi, micro, psi) potential energy hypersurfaces of all three models were determined, and their topologies were analyzed to determine the inherent flexibility properties of these beta-peptide models. Fewer points were found and assigned than expected on the basis of Multidimensional Conformational Analysis (MDCA). Furthermore, it has been demonstrated, that the four-dimensional surface, E = E(phi, mu, psi), can be reduced into a three-dimensional one: E = E[phi, f(phi), psi]. This reduction of dimensionality of freedom of motion suggests that beta-peptides are less flexible than one would have thought. This agrees with experimental data published on the conformational properties of peptides composed of beta-amino acid residues.

An observation of non-superimposable stereogeometrical features in a non-chiral one-component β-Ala model peptide

This paper describes the chemical synthesis and crystal molecular conformation of a non-chiral beta-Ala containing model peptide Boc-beta-Ala-Acc5-OCH3. The analysis revealed the existence of two crystallographically independent molecules A and B, in the asymmetric unit. Unexpectedly, while the magnitudes of the backbone torsion angles in both molecules are remarkably similar, the signs of the corresponding torsion angles are reverse therefore, inclining us to suggest the existence of non-superimposable stereogeometrical features in a non-chiral one-component beta-Ala model system. The critical mu torsion angle around CbetaH2-CalphaH2 bond of the beta-Ala residue represents a typical gauche orientation i.e., mu = 67.7 degrees in A and mu = -61.2 degrees in B, providing the molecule an overall crescent shaped topology. The observed conformation contrasts markedly to those determined for the correlated non-chiral model peptides: Boc-beta-Ala-Acc6-OCH3 and Boc-beta-Ala-Aib-OCH3 signifying the role of stereocontrolling elements since the stereochemically constrained Calpha, alpha-disubstituted glycyl residues (e.g., Acc5, Acc6, and the prototype Aib) are known to strongly restrict the peptide backbone conformations in the 3(10)/alpha-helical-regions ( phi approximately +/-60+/-20 degrees, psi approximately +/-30+/-20 degrees) of the Ramachandran map. Unpredictably, the preferred, phi, psi torsion angles of the Acc5 residue fall outside the helical regions of the Ramachandran map and exhibit opposite-handed twists for A and B. The implications of the semi-extended conformation of the Acc5 residue in the construction of backbone-modified novel scaffolds and peptides of biological relevance are highlighted. Taken together, the results indicate that in short linear beta-Ala containing peptides specific structural changes can be induced by selective substitution of non-coded linear- or cyclic symmetrically Calpha,alpha-disubstituted glycines, reinstating the hypothesis that in addition to conformational restrictions, the chemical nature of the neighboring side-chain substituents and local environments collectively influences the stabilization of folding-unfolding behavior of the two methylene units of a beta-Ala residue.

Conformational Behavior of β-Proline Oligomers

Conformations of the monomer, dimer, and hexamer of beta-proline ((S) pyrrolidine-3-carboxylic acid) were determined using ab initio molecular orbital calculations at the RHF/6-31G level of theory. The calculated minima are in good agreement with experimental data for the system and imply that the conformations could be controlled through chemical modification at Calpha, Cgamma, or Cdelta. The monomer and dimer are small and flexible with many low-energy minima. In the hexamer, two forms of regular secondary structure are preferred: left-handed helices with cis-peptide bonds and right-handed helices with trans-peptide bonds. This is similar to the behavior of alpha-proline helices, except that the relationship between the peptide rotamer and the handedness of the helix is reversed. Therefore, helices of the enantiomer of beta-proline ((R)-pyrrolidine-3-carboxylic acid) should exhibit the same behavior as alpha-proline helices. Through understanding the conformational behavior of beta-proline in various environments, it may be possible to use these protein mimics to inhibit various protein-protein recognition events. To estimate these effects, SCRF energies for the conformers were determined in dielectrics corresponding to water, methanol, and chloroform. It appears that the cis helices are more favorably solvated than the trans helices, but the cause is not clear.

Side-chain control of beta-peptide secondary structures

As one of the most important families of non-natural polymers with the propensity to form well-defined secondary structures, the beta-peptides are attracting increasing attention. The compounds incorporating beta-amino acid residues have found various applications in medicinal chemistry and biochemistry. The conformational pool of beta-peptides comprises several periodic folded conformations, which can be classified as helices, and nonpolar and polar strands. The latter two are prone to form pleated sheets. The numerous studies that have been performed on the side-chain dependence of the stability of the folded structures allow certain conclusions concerning the principles of design of the beta-peptide foldamers. The folding propensity is influenced by local torsional, side-chain to backbone and long-range side-chain interactions. Although beta-peptide foldamers are sensitive to solvent, the systematic choice of the side-chain pattern and spatiality allows the design of the desired specific secondary structure. The application of beta-peptide foldamers may open up new directions in the synthesis of highly organized artificial tertiary structures with biochemical functions.

Structural and biological effects of a beta2- or beta3-amino acid insertion in a peptide

Molecular mechanics calculations on conformers of Ac-HGly-NHMe, Ac-beta2-HAla-NHMe and Ac-beta3-HAla-NHMe indicate that low-energy conformations of the beta-amino acids backbone, corresponding to gauche rotamers around the Calpha-Cbeta bond, may overlap canonical backbone conformers observed for alpha-amino acids. Therefore, Substance P (SP) was used as a model peptide to analyse the structural and biological consequences of the substitution of Phe7 and Phe8 by (R)-beta2-HPhe and of Gly9 by HGly (R)-beta2-HAla or (S)-beta3-HAla. [(R)-beta2-HAla9]SP has pharmacological potency similar to that of SP while [HGly9]SP and [(S)-beta3-HAla9]SP show a 30- to 50-fold decrease in biological activities. The three analogues modified at position 9 are more resistant to degradation by angiotensin converting enzyme than SP and [Ala9]SP. NMR analysis of these SP analogues suggest that a beta-amino acid insertion in position 9 does not affect the overall backbone conformation. Altogether these data suggest that [HGly9]SP, [(S)-beta3-HAla9]SP and [(R)-beta2-HAla9]SP could adopt backbone conformations similar to that of SP, [Ala9]SP and [Pro9]SP. In contrast, incorporation of beta2-HPhe in position 7 and 8 of SP led to peptides that are almost devoid of biological activity. Thus, a beta-amino acid could replace an alpha-amino acid within the sequence of a bioactive peptide provided that the additional methylene group does not cause steric hindrance and does not confine orientations of the side chain to regions of space different from those permitted in the alpha-amino acid.

Computational study of conformational preferences of thioamide-containing azaglycine peptides

The effect of thioamide substitution on the conformational stability of an azaglycine-containing peptide, For-AzaGly-NH2 (1), was investigated for the sake of finding possible applications by using ab initio and DFT methods. As model compounds, For-[psiCSNH]-AzaGly-NH2 (2), For-AzaGly-[psiCSNH]-NH2 (3), and For-[psiCSNH]-AzaGly-[psiCSNH]-NH2 (4) were used. Two-dimensional phi-psi potential energy surfaces (PESs) for 2-4 were calculated at the B3LYP/6-31G*//HF/6-31G* level in gas (epsilon = 1.0) and in water (epsilon = 78.4) by applying the isodensity polarizable continuum model (IPCM) method. On the basis of these PESs, the minimum energy conformations for 2-4 were characterized at the B3LYP level with 6-31G*, 6-311G**, and 6-31+G** basis sets. The remarkable structural effect of thioamide substitution for 2-4 is that beta-strand structure is observed as a global or local minimum. The minima of 2-4 are also compared with those for glycine and thioamide-containing glycine peptides. Our theoretical results demonstrate that compounds 2-4 would be used to design controllable secondary structures.

Novel conformationally-constrained β-peptides characterized by1H NMR chemical shifts

For a novel family of oxanorbornene beta-peptides, density functional theory computations of the three-dimensional structure and 1H NMR chemical shifts predict that the dimer and trimer form consecutive 8-membered hydrogen-bonded ring helices, which is supported by excellent agreement with experimental solution NMR data.

Theoretical study of sheets formed by beta-peptides

Structural and thermodynamic features of the sheets formed by beta-peptides have been studied by quantum mechanics calculations using peptide models. Calculations using dipeptide models indicate that the intrinsic hydrogen bond strength is great for both parallel and antiparallel sheets and that it is little affected by proper substituents. Heterochiral-beta(2,3)-peptides have much stronger sheet-forming propensity than other types of peptides because their favored backbone conformation is ideal for sheet formation. A planar or ideally pleated strand has a curved geometry, which is unfavorable for the formation of sheets. Thus, sheets have to adopt twisted geometries. There is a large cooperativity in the formation of the hydrogen bond network in the sheets of beta-peptides in the perpendicular direction due to long-range electrostatic attractions because all carbonyl groups are roughly in the same direction, in contrast to the situation in beta-sheets of alpha-peptides.

A theoretical study of conformational properties of N-methyl azapeptide derivatives

The conformational properties of azapeptide derivatives, Ac-azaGly-NHMe (1), Ac-azaAla-NHMe (2), Ac-NMe-azaGly-NHMe (3), Ac-NMe-azaAla-NHMe (4), Ac-azaGly-NMe(2) (5), Ac-azaAla-NMe(2) (6), Ac-NMe-azaGly-NMe(2) (7), and Ac-NMe-azaAla-NMe(2) (8), were systematically examined by using ab initio MO and DFT methods. Structural perturbations in azapeptides resulting from cyclic substitution of a methyl group at three N-positions of an azaamino acid were studied on the basis of the structure of the simplest model azapeptide, 1. Potential energy surfaces were generated at the HF/6-31G level for 1-4 and at the HF/6-31G//HF/3-21G level for 5-8 by rotating two key dihedral angles (phi, psi) in increments of 30 degrees. The backbone (phi, psi) angles of the minima for 1-4 are observed at the i + 2 position to form the betaI(I')-, betaII(II')-, betaVI-turns or the polyproline II structure according to the orientation of the acetyl group and the positions of the N-methyl groups. Compounds 5-8 coupled to a secondary amine were found to preferentially adopt polyproline II, betaI(III)-turn, or alpha-helical structure or even extended conformations depending on the orientation of the acetyl group and the positions of the N-methyl groups. Furthermore, N-methyl groups, depending on their positions, were found to affect the orientation of the amide group in the lowest energy conformations, the pyramidality of the N2 atom, and the bond length in azapeptide derivatives. These unique theoretical conformations of N-methyl azapeptide derivatives could be utilized in the definite design of secondary structure for peptides and proteins, and in the development of new drugs and molecular machines.

A theoretical study on the origin of cooperativity in the formation of 3(10)- and alpha-helices

By using a simple repeating unit method, we have conducted a theoretical study which delineates the preferences for beta-strand, 2(7)-ribbon, 3(10)-helix, and alpha-helix formation for a series of polyglycine models up to 14 amino acid residues (Ac-(Gly)(n), n = 0, 1, 2,., 14). Interactions among residues, which result in cooperativity, are clearly indicated by variations in calculated energies of the residues. Whereas no cooperativity is found in the formation of beta-strands and 2(7)-ribbons, there is a significant cooperativity in the formation of 3(10)- and alpha-helices, especially for the latter. In the case of alpha-helices, the 14th residue is more stable than the 3rd by about 3 kcal/mol. A good correlation between calculated residue energy and residue dipole moment was uncovered, indicating the importance of long-range electrostatic interactions to the cooperativity. The results of our calculations are compared with those of the AMBER and PM3 methods, and indicate that both methods, AMBER and PM3, need further development in the cooperative view of electrostatic interactions. The result should be of importance in providing insight into protein folding and formation of helical structures in a variety of polymeric compounds. This also suggests a strategy for the development of more consistent molecular mechanics force fields.

Influence of hydrophobic interactions on the conformational adaptability of the beta-Ala residue

The chemical synthesis and X-ray crystal structure analysis of a model peptide incorporating a conformationally flexible beta-Ala residue: Boc-beta-Ala-Pda, 1 (C23H46N2O3: molecular weight = 398.62) have been described. The peptide crystallized in the crystal system triclinic with space group P21: a = 5.116(3) A, b = 5.6770(10) A, c = 21.744(5) A; alpha = 87.45 degrees, beta = 86.87 degrees, gamma = 90.0 degrees; Z = 1. An attractive feature of the crystal molecular structure of 1 is the induction of a reasonably extended backbone conformation of the beta-Ala moiety, i.e. the torsion angles phi approximately -115 degrees, mu approximately 173 degrees and psi approximately 122 degrees, correspond to skew-, trans and skew+ conformation, respectively, by an unbranched hydrophobic alkyl chain, Pda, which prefers an all-anti orientation (theta1 approximately -153 degrees, theta2 approximately ellipsis theta14 approximately +/-178 degrees ). The observation is remarkable because, systematic conformational investigations of short linear beta-Ala peptides of the type Boc-beta-Ala-Xaa-OCH3 (Xaa = Aib or Acc6) have shown that the chemical and stereochemical characters of the neighboring moieties may be critical in dictating the overall folded and/or unfolded conformational features of the beta-Ala residue. The overall conformation of 1 is typical of a 'bar'. It appears convincing that, in addition to a number of hydrophobic contacts between the parallel arranged molecules, an array of conventional N-HellipsisO=C intermolecular H-bonding interactions stabilize the crystal molecular structure. Moreover, the resulting 14-membered pseudo-ring motif, generated by the amide-amide interactions between the adjacent molecules, is completely devoid of nonconventional C-HellipsisO interaction. The potentials of the conformational adaptation of the beta-Ala residue, to influence and stabilize different structural characteristics have been highlighted.

Conformational Features and Anion-Binding Properties of Calix[4]pyrrole: A Theoretical Study

The conformational preference of calix[4]pyrrole and its fluoride and chloride anion-binding properties have been investigated by density functional theory calculations. Geometries were optimized by the BLYP/3-21G and BLYP/6-31G methods, and energies were evaluated with the BLYP/6-31+G method. To model the effect of medium, the SCIPCM solvent model was also employed. Four typical conformations of the parent substituent-free calix[4]pyrrole were studied. Both in the gas phase and in CH(2)Cl(2) solution, the stability sequence is predicted to be 1,3-alternate > partial cone > 1,2-alternate > cone. The cone conformation is predicted to be about 16.0 and 11.4 kcal/mol less stable in the gas phase and CH(2)Cl(2) solution, respectively. This is mainly due to electrostatic repulsions arising from the all-syn pyrrole/pyrrole/pyrrole/pyrrole arrangement present in this conformer. The existence of possible 1:1 and 1:2 anion-binding modes were explored in the case of fluoride anion, and the factors favoring the 1:1 binding mode are discussed. The calculated binding energy for fluoride anion is about 15 kcal/mol larger than that for chloride anion. The calculated binding energy for chloride anion agrees with the experimental value very well. The presence of meso-alkyl substituents destabilizes the cone conformer with respect to the 1,3-alternate conformer and, therefore, reduces the anion-binding affinity by 3-4 kcal/mol. The strength of N-H- - -anion hydrogen bonds in the various structures subject to study were estimated on the basis of the calculated anion-binding energies and the predicted structural deformation energies of substituent-free calix[4]pyrrole.

Hydrazino peptides as foldamers: an extension of the beta-peptide concept

Replacing the C(beta) atoms in the beta-amino acid constituents of beta-peptides by nitrogen atoms leads to hydrazino peptides. A systematic conformation analysis of blocked hydrazino peptide oligomers of the general type I at the HF/6-31G, MP2/6-31G, and DFT/B3LYP/6-31G levels of ab initio MO theory and on the basis of molecular mechanics reveals a wide variety of secondary structures, as for instance various helices and sheet- and turnlike conformers. Some of them are closely related to secondary structure types found in beta-peptides; others represent novel types. Thus, a very stable, novel helix with 14-membered hydrogen-bonded pseudocycles, which occupies a conformation space different from that of helices with 14-membered rings found among the most stable conformers in beta-peptides, is indicated. The most important secondary structure elements are characterized by interactions between peptidic NH and CO groups. The additional hydrazino N(alpha)H group takes part in special structuring effects but is of lesser importance for secondary structure formation. The influence of environmental effects on the existence and stability of the various structure types is discussed. Due to the wide variety of structural possibilities, hydrazino peptides might be a useful tool for peptide and protein design.

Entrapping unusual folding characteristics of the beta-Ala residues in a model peptide: Boc-beta-Ala-Aib-beta-Ala-NHCH3

Crystal structure analysis of a model peptide: Boc-beta-Ala-Aib-beta-Ala-NHCH3 (beta-Ala: 3-amino propionic acid; Aib: alpha-aminoisobutyric acid) revealed distinct conformational preferences for folded [phi approximately 136 degrees, mu approximately -62 degrees, psi approximately 100 degrees] and semifolded [phi approximately 83 degrees, mu approximately -177 degrees, psi approximately -117 degrees] structures of the N-and C-terminus beta-Ala residues, respectively. The overall folded conformation is stabilized by unusual Ni...H-Ni+1 and nonconventional C-H...O intramolecular hydrogen bonding interactions.

Incorporation of conformationally constrained beta-amino acids into peptides

The use of norbornene units to induce the formation of beta-sheet and beta-turn type structures in peptides is discussed. The norbornene unit is readily prepared by a desymmetrization reaction and is easily incorporated into a peptide chain. Depending upon the exact nature of the norbornene unit, it is possible to form structures which resemble parallel beta-sheets, antiparallel beta-sheets or beta-turns. Similar peptide analogues incorporating a cis-2-amino-cyclopropane carboxylic acid unit can also be prepared. As an illustration of the application of this chemistry, a short, asymmetric synthesis of conformationally constrained metalloprotease inhibitors is presented.

The twists and turns of beta-peptides

Recently, it has been discovered that peptides composed of beta-amino acids are capable of adopting novel secondary structures demonstrating that peptides composed of alpha-amino acids are not unique in their ability to fold into well-defined structures. Cyclic as well as acyclic peptides composed of beta-amino acid residues adopt turn, helical, and sheet-like conformations. Here, we discuss the synthesis and conformational preferences of individual, substituted beta-amino acids as well as the structures that peptides composed of these residues, beta-peptides, may adopt.

Basic conformers in beta-peptides

The conformation of oligomers of beta-amino acids of the general type Ac-[beta-Xaa]n-NHMe (beta-Xaa = beta-Ala, beta-Aib, and beta-Abu; n = 1-4) was systematically examined at different levels of ab initio molecular orbital theory (HF/6-31G*, HF/3-21G). The solvent influence was considered employing two quantum-mechanical self-consistent reaction field models. The results show a wide variety of possibilities for the formation of characteristic elements of secondary structure in beta-peptides. Most of them can be derived from the monomer units of blocked beta-peptides with n = 1. The stability and geometries of the beta-peptide structures are considerably influenced by the side-chain positions, by the configurations at the C alpha- and C beta-atoms of the beta-amino acid constituents, and especially by environmental effects. Structure peculiarities of beta-peptides, in particular those of various helix alternatives, are discussed in relation to typical elements of secondary structure in alpha-peptides.