Optical anisotropies of amides and peptides in dioxane

The molar Kerr constants _mK, molar refractions _mR, and dipole moments μ are reported for the N-methylacetamides CX₃CONHCH₃ (X = H, CH₃, F. CI, Br) and acetamides CX₃CONH₂ (X = H, F, Cl, Br). The components of the polarizability tensor α are deduced for N-methylacetamide and acetamide on the basis of the bond additivity approximation. This α is found to be considerably more anisotropic than was indicated in previous determinations by other methods. The data for N-methylacetamide were used to calculate _mK, μ, and γ² (anisotropy squared) of N-acetyl-N′-methylglycine amide and N-acetyl-N′-methyl-alanine amide as functions of the torsional angles (?,Ψ). The statistical mechanical averages of _mK, μ, and γ² were calculated from conformational energies obtained by the methods of Scheraga.     

Computer simulation of the conformational properties of retro–inverso peptides. I. Empirical force field calculations of rigid and flexible geometries of N-acetylglycine-N′- methylamide,bis(acetamido) methane,and N,N′- dimethylmalonamide and their corresponding Cα-methylated analogs

Rigid and flexible geometry calculations are described for N-acetylglycine-N′-methylamide, N-acetylalanine-N′-methylamide, and their retro-inverso analogs, bis(acetamido) methane, 1,1-bis(acetamido) ethane, N,N′-dimethylmalonamide, and N,N′-dimethyl-2-methyl-malonamide. The significance of relaxing all degrees of freedom, especially angular flexibility is demonstrated. The flexible geometry approach yields energy maps similar to those from rigid geometry, but the energy barriers between minima are substantially reduced, leading in general, to more probable transitions and a higher volume of accessible conformational space. Whereas the glycine and alanine derivatives exhibit their lowest energy minima in the C region, the gem-diaminoalkyl and malonyl residues show their lowest minima in the “α-helical” regions. With respect to the effect of side chains (H versus CH₃), the greatest conformational influence appears with the gem-diaminoalkyl residues. These results indicate significantly different conformational behavior of retro peptides and the implications of these pairwise incorporations of retro-inverso residues in peptide chains, are discussed.     

Flexibility of the pyrrolidine ring in proline peptides

A survey of over 50 crystal structures indicates that both imino acid and peptide derivatives of proline populate ring conformers consistent with the torsional potentials about single bonds. In both cases, lower barriers for rotation about C? N bonds relative to those about C? C bonds favor smaller values for dihedral angles about the former bonds. In peptides a minimum in the torsional potential about C? N bonds occurs at zero dihedral angle, further favoring small angles. The pyrrolidine-ring dihedral angles of the proline compounds in the solid state obey a cyclopentane-type pseudorotation function. Thus the puckering of the five-membered ring can be quantitatively described by two parameters. Consistent with small dihedral angles about C? N bonds, C^β and/or C^γ are puckered out of the mean plane of the ring in nearly all of the nonstrained compounds. Utilizing the consistent force-field method of Lifson and coworkers [see A. Warshel, M. Levitt, and S. Lifson (1970) J. Mol. Spectrosc. 33 , 84] the intramolecular energy of five proline peptides was minimized with respect to all internal coordinates. In addition, the energy surface near minima was explored by constraining a particular dihedral angle and reminimizing the energy with respect to all remaining variables. In linear peptides two types of pyrrolidine-ring conformers have identical predicted energies. In the cyclic dipeptide cyclo (Pro-Gly) one of the ring conformers is favored by about 3 kcal/mol, while the cyclic tripeptide cyclo(Pro-Gly-Gly) favors the other conformer by a comparable margin. In agreement with observations in the solid state and in solution, C^β and/or C^γ are puckered in the predicted conformers. A correlation between proline Φ and the details of the puckered conformation was predicted and found to match precisely conformers observed in crystals. For the diamides N-acetyl-L -proline-N′-methyl-amide and N-acetyl-L -proline-N′,N′-dimethylamide (AcProMe₂A) 30% and 60% cis acetyl peptide bonds were predicted in good agreement with observations in nonpolar solvents for the respective compounds. The conformational distributions with respect to proline Ψ are also in accord with experimental observations. For AcProMe₂A, a model for a -Pro-Pro-sequence in a peptide chain, this study is the first to predict stable conformers for proline Ψ either ca. ?50° or 140° for both cis and trans peptides.     

Conformational studies of peptides. The crystal structures of N-acetyl-L-prolinamide and N-acetyl-(S)-thiazolidine-4-carboxamide

The crystal structure of N′-acetyl-L -prolinamide and its isomorphous alalog N′-acetyl-(S)-thiazolidine-4-carboxamide was determined using highly accurate parameters obtained by room- and low-temperature data-collecting systems. Both crystals are orthorhombic, space group P2₁2₁2₁, with four molecules per unit cell held together by a hydrogen-bond system that extends in all directions. Both molecules exhibit the following conformational features: the acetyl group is in the trans configuration in respect to the tertiary amide. The primary amide is almost at right angles with respect to the mean plane of the ring and the –NH₂ group is over the ring. The pyrrolidine and thiazolidine rings were found to be rather flexible with C^β puckering in the former and sulfur in the latter.     

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

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

1H- and 13C-NMR studies of N-acetyl-L-alanine methylester and N-acetyl-L-alanine methylamide. I. Self-association

The ¹H- and ¹³C-NMR spectra of N-acetyl-L -alanine methylester and N-acetyl-L -alanine methylamide were measured to examine the modes of self-association of these molecules in solution. The different dilution shifts between these molecules seem to correspond to the difference in the associated state for each molecule. Consequently, for the former molecule, a dimer model forming the intermolecular hydrogen bond through Ala NH hydrogen atom in one molecule to Ala C?O oxygen atom in another molecule was proposed. Another dimer model, which coincides with that proposed recently by Neel and coworkers, was proposed for the latter molecule. This second dimer model forms an intermolecular hydrogen bond through the NH of the N-methylamide group in one molecule to the acetyl C?O in another molecule.     

Multiphase catalysis. II. Hollow fiber catalysts

A theory of diffusion control within hollow fiber catalysts is derived for three different types of coordinate geometries: Cartesian, cylindrical, and spherical. Effectiveness factors are calculated and formulas for reactant conversion in both a fixed-bed and a contimunuous-feed stirred-tank reactor are derived. The apparent Michaelis constant, K_m′, is a measure of the amount of diffusion control within the catalysts. When K_m′ is equal to K_m, the true Michaelis constant, there is no diffusion control. In all other cases K_m′ is greater than K_m. Hollow fibers are attractive alternatives to spherical microcapsules for the encapsulation of enzymes.     

Type II β-turn conformation of pivaloyl-L-prolyl-α-aminoisobutyryl-N-methylamide: Theoretical,spectroscopic, and X-ray studies

Pivaloyl-L -Pro-Aib-N-methylamide has been shown to possess one intramolecular hydrogen bond in (CD₃)₂SO solution, by ¹H-nmr methods, suggesting the existence of β-turns, with Pro-Aib as the corner residues. Theoretical conformational analysis suggests that Type II β-turn conformations are about 2 kcal mol^?1 more stable than Type III structures. A crystallographic study has established the Type II β-turn in the solid state. The molecule crystallizes in the space group P2₁ with a = 5.865 Å, b = 11.421 Å, c = 12.966 Å, β = 97.55°, and Z = 2. The structure has been refined to a final R value of 0.061. The Type II β-turn conformation is stabilized by an intramolecular 4 → 1 hydrogen bond between the methylamide NH and the pivaloyl CO group. The conformational angles are ?_Pro = ?57.8°, ψ_Pro = 139.3°, ?_Aib = 61.4°, and ψ_Aib = 25.1°. The Type II β-turn conformation for Pro-Aib in this peptide is compared with the Type III structures observed for the same segment in larger peptides.     

The vibrational spectra and conformations of some peptide compounds: An application of the additive interatomic interaction model

The vibrational spectra of N-methylformamide, N-methylacetamide, and acetylglycine N-methylamide were calculated by use of the additive model of interatomic interactions. The rotation angles ?,ψ for acetylglycine N-methylamide in the crystalline form were determined by the calculation of the spectra of the compound in various conformations. In the A form these angles are equal to 120° and 180°, respectively, and in the B form to 90° and 0°, respectively. The sensitivity of the proposed method to conformational changes, the choice of parameters, and the scope of the method's application are discussed.     

A novel bioluminogenic assay for α-chymotrypsin

The use of 6-(N-acetyl-L -phenylalanyl)-aminoluciferin as a novel substrate for α-chymotrypsin has been demonstrated. The kinetic parameters determined are K_M = 0.38mmol/L, k_cat = 6.5 s^?1 and k_cat/k_M = 17,100 (L/mols). The test principle of the coupled assay is the release of aminoluciferin by enzymatic cleavage of 6-(N-acetyl-L -phenylalanyl)-aminoluciferin. Aminoluciferin is oxidized, with light emission, by firefly luciferase (Photinus pyralis) and can be quantified in a luminometric assay. The detection limit for chymotrypsin was found to be 0.3 ng per assay. 6-(N-acetyl-L -phenylalanyl)-aminoluciferin has been synthesized as an example for a new class of highly sensitive substrates. By modification of the peptide residue these new substrates may be suitable for ultrasensitive detection of different proteinases.     

Conformational flexibility of peptides containing α,β-unsaturated amino acid residues. I. Conformational analysis of N-acetyl-N′-methylamides of dehydroalanine and N-methyldehydroalanine

Conformational energy calculations on the N-acetyl-N′-methylamides of dehydroalanine and N-methyldehydroalanine indicate that their conformational behavior is very different from that of the corresponding saturated compounds. The conformational data in the literature from x-ray and nmr investigations on peptides containing α,β-unsaturated residues are discussed on the basis of these theoretical results.     

Semiempirical energy calculations on model compounds of polypeptides. Crystal structures of DL-acetylleucine N-methylamide and DL-acetyl-amino-n-butyric acid N-methylamide

The sum E of the packing and conformation energies of the crystals of DL -acetylleucine N-methylamide (ALNMA) and DL -acetyl-α-amino-n-butyric acid N-methylamide (ABAMA) is calculated as a function of the crystallographic parameters and the conformational angles. The intermolecular energy is assumed to be the pairwise sum of nonbonded and electrostatic atomic interactions, while both these terms and intrinsic terms describing barriers of internal rotation contribute to the intramolecular energy. For ALNMA E is minimized with respect to 18 parameters: the minimum found when starting from the experimental structure agrees with this within 0.07 Å and 3°, except for one angle which deviates by 6° the average deviations of the atomic coordinates are \documentclass{article}\pagestyle{empty}\begin{document}$ |\overline {\Delta x|} = 0.02,|\overline {\Delta y|} = 0.07,|\overline {\Delta z|} = 0.08 $\end{document} Å. Another minimum with about the same energy shows slightly worse agreement. A comparison between different sets of nonbonded functions is made. The prediction of conformation and intermolecular packing of ABAMA is attempted on the basis of the knowledge of the unit cell and the space group. In agreement with available experimental data it is found that only one-di-mensional arrays of molecules linked by pairs of hydrogen bonds are compatible with the unit cell. The more stable of two possible conformations of the main chain agrees approximately with the experimental conformation. The calculation is not conclusive with regard to the side-chain conformation and the packing of non-hydrogen-bonded molecules.     

The role of water in the crystal structure of N-acetyl-L-4-hydroxyproline

The crystal structure of N-acetyl-L -4-hydroxyproline (Hyp) was determined by direct methods. (The crystal is orthorhombic with the space group P2₁2₁2₁.) The acetyl group is in the trans conformation and the pyrrolidine ring puckers at C^γ (C^sC^γ envelope), as in most Hyp residues. According to the rotation angle ψ = ?30°, the N-acetyl-L -4Hyp has the same conformation as an α-helix of prolyl residues. The crystal packing is stabilized by hydrogen bonds between three different molecules and the same molecule of water. One of the water bridges involves the carbonyl of the N-acetyl group of one molecule and the hydrogen atom of the 4-OH group of another. Such an arrangement has been proposed to explain the high stability of (Gly-L -Pro-L -4Hyp)_n. A second bridge involves the two hydrogens of the water molecule and the carbonyl groups of two neighbouring molecules, as already proposed in a dihydrated model of collagen. These experimental features, which are discussed in relation to the different models of collagen, allow us to propose an hypothetical arrangement for the water molecule which is strongly retained in the triple helix of (Gly-L -Pro-L -4Hyp)_n.     

Analyse conformationnelle de la N-méthylamide de l'acide L-pyroglutamique par diffusion Rayleigh depolarisée,spectroscopie de vibration et calcul de l'energie conformationnelle

Conformational analysis of N-methylamide of pyroglutamic acid has been performed by theoretical energy calculations and experimental physical techniques, namely, laser Raman spectroscopy and depolarized Rayleigh scattering. The two theoretically predicted conformations are evidenced in crystalline state (ψ₁ = +169°) and in aqueous solution (ψ₁ ? ?20°). This study confirms the interest of a careful vibrational analysis of peptides and N-deuterated derivatives for providing an estimate of the dihedral angle ψ. The relationship between amide III frequency and ψ values is emphasized.     

Conformations of model compounds of proteins. I. Acetylglycine N-methylamide

Infrared spectra in the region 4000–60 cm^?1 have been measured for acetylglycine N-methylamide and its deuterium homologs, CD₃CONHCH₂CONHCH₃, CH₃-CONHCD₂CONHCH₃, CH₂CONHCH₂CONHCD₃, and CH₃CONDCH₂CONDCH₃. Normal frequencies have also been calculated for these molecules with various conformations. The spectra show that this compound has two crystalline modifications, form A and form B. The frequencies and their isotope shifts show that the molecular conformation (Ψ, ?) of form B is near (0, 120) and that of form A near (180, 120). The short-range factors determining the conformation of peptide backbone having glycine residues are discussed.     

Thermodynamics of solvation for methylproline peptides

We have determined thermodynamic parameters for transfer of N-acetyl,N′-methylamide derivatives of proline and methylprolines from carbon tetrachloride and from chloroform to water. The hydrophilic nature of the diamide model peptides is demonstrated by the negative free energies and enthalpies for transfer. Chloroform solvates the peptides considerably better than carbon tetrachloride. Heats of dilution in carbon tetrachloride arise from disruption of intermolecular peptide–peptide hydrogen bonds. After extrapolation to dilute solution, differences in thermodynamic parameters among the isomeric mono-methylproline peptides are correlated with the population of the intramolecularly hydrogen-bonded C₇ conformer in the nonpolar solvent. However, the thermodynamic parameters aslo reflect differences in solvation due to the proximity of the two peptide groups and the side chain.     

Spatial configurations of polynucleotide chains. 3. Polydeoxyribonucleotides

The virtual bond scheme set forth in preceding papers for treating the average properties of polyriboadenylic acid (poly rA) is here applied to the calculation of the unperturbed mean-square end-to-end distance of polydeoxyriboadenylic acid (poly dA). The modifications in structure and in charge distribution resulting from the replacement of the hydroxyl group at C_2′ in the ribose residue by hydrogen in deoxyribose produce only minor modifications in the conformational energies associated with the poly dA chain as compared to those found for poly rA. The main difference is manifested in the energy associated with rotations about the C_3′–O_3′ bond of the deoxyribose residue in the C_2′-endo conformation; accessible rotations are confined to the range between 0° and 30° relative to the trans conformation, whereas in the ribose unit the accessible regions comprise two ranges centered at approximately 35° and 85°. The characteristic ratio 〈r²〉0/nl² calculated on the basis of the conformational energy estimates is ≈9 for the poly dA chain with all deoxyribose residues in the C_3′-endo conformation and ≈21 with all residues in the C_2′-endo form. Satisfactory agreement is achieved between the theoretical values and experimental results on apurinic acid by treating the poly dA chain as a random copolymer of C_3′-endo and C_2′-endo conformational isomers present in a ratio of ～1 to 9.     

Perspectives of data analysis of enzyme inhibition and activation,Part 1: Use of the three‐dimensional Km′ V′I coordinate system for data analysis of enzyme inhibition and activation

The possibility of construction of the three‐dimensional (unfolded and folded) K_m′ V′I rectangular coordinate systems convenient for vector representation of inhibited and activated enzymatic reactions as well as of a two‐dimensional K_m′ V′ scalar rectangular coordinate system convenient for diagrammatic representation of enzymatic reactions is considered. The perspectives of using the properties of the three‐dimensional L vectors and their scalar L projections for data analysis of enzyme inhibition and activation are analyzed. © 2009 Wiley Periodicals, Inc. J Biochem Mol Toxicol 23:97–100, 2009; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/jbt.20273     

1H nuclear magnetic resonance studies of N-acetyl-L-proline N-methylamide. Molecular conformations,hydrogen bondings,and thermodynamic quantities in various solvents

Concentration and temperature dependences of the ¹H nmr spectra of N-acetyl-L -proline N-methylamide were observed in various solvents [CCl₄, CDCl₃, (CD₃)₂CO, (CD₃)₂SO, H₂O, and D₂O]. The fraction of the cis isomer (with respect to the bond between the acetyl carbonyl carbon and prolyl nitrogen atoms) depends greatly on the solvent used; the fraction of the cis isomer is higher in polar solvents than in nonpolar solvents. It depends also on concentration and temperature in nonpolar solvents but not in polar solvents. In nonpolar solvents the trans isomer mostly exists in the γ-turn structure with an intramolecular hydrogen bond and the cis isomer tends to form molecular aggregates by intermolecular hydrogen bonds. In polar solvents both the cis and trans isomers exist in monomeric forms which interact with solvent molecules. The pH dependences of the N-methyl proton resonances indicate that the γ-turn structure of the trans isomer is present also in aqueous solution, though its population is difficult to determine. Apparent enthalpy and entropy changes for the conversion of the trans isomer to cis isomer are evaluated for various solvents. The results are discussed in terms of the intra- and intermolecular hydrogen bondings.     

1H nuclear magnetic resonance studies of histidine-containing di- and tripeptides. Estimation of the effects of charged groups on the pKa value of the imidazole ring.

The nmr titration curves of chemical shifts versus pH were observed for the protons of various histidine-containing di- and tripeptides. With these results, the macroscopic pK_a values and the chemical shifts intrinsic to each ionic species were determined by a computer curve-fitting based on a simple acid dissociation sequence. The pK_a value of the imidazole ring in N-acetyl-L -histidine methylamide was assumed to represent the intrinsic (or unperturbed) pK_a of the imidazole rings of histidine having peptide linkages at both the CO and NH sides. The pK_a values of the imidazole rings observed for most di- and tripeptides were reasonably reproduced by simple calculations using the intrinsic value and the perturbations due to the CO₂^? and NH₃⁺ groups located at various positions. Some other factors affecting the pK_a value of the imidazole ring are also discussed.