Predominant torsional forms adopted by dipeptide conformers in solution: parameters for molecular recognition

Density Estimation for Protein Conformation Angles Using a Bivariate von Mises Distribution and Bayesian Nonparametrics

Interest in predicting protein backbone conformational angles has prompted the development of modeling and inference procedures for bivariate angular distributions. We present a Bayesian approach to density estimation for bivariate angular data that uses a Dirichlet process mixture model and a bivariate von Mises distribution. We derive the necessary full conditional distributions to fit the model, as well as the details for sampling from the posterior predictive distribution. We show how our density estimation method makes it possible to improve current approaches for protein structure prediction by comparing the performance of the so-called "whole" and "half" position distributions. Current methods in the field are based on whole position distributions, as density estimation for the half positions requires techniques, such as ours, that can provide good estimates for small datasets. With our method we are able to demonstrate that half position data provides a better approximation for the distribution of conformational angles at a given sequence position, therefore providing increased efficiency and accuracy in structure prediction.

Systematic study of the boundary composition in Poisson Boltzmann calculations

We describe a three-stage procedure to analyze the dependence of Poisson Boltzmann calculations on the shape, size and geometry of the boundary between solute and solvent. Our study is carried out within the boundary element formalism, but our results are also of interest to finite difference techniques of Poisson Boltzmann calculations. At first, we identify the critical size of the geometrical elements for discretizing the boundary, and thus the necessary resolution required to establish numerical convergence. In the following two steps we perform reference calculations on a set of dipeptides in different conformations using the Polarizable Continuum Model and a high-level Density Functional as well as a high-quality basis set. Afterwards, we propose a mechanism for defining appropriate boundary geometries. Finally, we compare the classic Poisson Boltzmann description with the Quantum Chemical description, and aim at finding appropriate fitting parameters to get a close match to the reference data. Surprisingly, when using default AMBER partial charges and the rigorous geometric parameters derived in the initial two stages, no scaling of the partial charges is necessary and the best fit against the reference set is obtained automatically.

Conformational analysis of bacterial cell wall peptides indicates how particular conformations have influenced the evolution of penicillin-binding proteins, beta-lactam antibiotics and antibiotic resistance mechanisms

Our aim was to use a conformational analysis technique developed for peptides to identify structural relationships between bacterial cell wall peptides and beta-lactam antibiotics that might help to explain their different actions as substrates and inhibitors of penicillin binding proteins (PBPs). The conformational forms of the model cell wall peptide Ac-L-Lys(Ac)-D-Ala-D-Ala are described by just a few backbone torsion combinations: three C-terminal carboxylate regions, with Tor8 (psi(i+1)) ranges of D3 region (50 degrees to 70 degrees ), D6 region (140 degrees to 170 degrees ) and D9 region (-50 degrees to -70 degrees ) are combined with either of two Tor6 (phi(i))-Tor4 (psi(i)) combinations, C4 region (-50 degrees to -80 degrees ) with B8 region (-40 degrees to -70 degrees ) or C11 region (30 degrees to 50 degrees ) with B2 region (30 degrees to 70 degrees ). From these results, and comparisons with conformational analyses of various beta-lactams and Ac-L-Lys(Ac)-D-Ala-D-Lac, it is concluded that molecular recognition of cell wall peptide substrates by PBPs requires conformers with backbone torsion angles of D3C4B8. beta-Lactam antibiotics are constrained compounds with fewer conformational forms; these match well the backbone torsions of cell wall peptides at D3C4, allowing their recognition and acylation by PBPs, whereas their unique Tor4 produces differently orientated CO and N atoms that appear to prevent subsequent deacylation, leading to their action as suicide substrates. The results are also related to the selective pressures involved in evolution of beta-lactamases from PBPs. From analysis of conformers of Ac-L-Lys(Ac)-D-Ala-D-Ala and the vancomycin-resistant analogue Ac-L-Lys(Ac)-D-Ala-D-Lac, it is concluded that vancomycin may recognise D6C11B2 conformers, giving it complementary substrate specificity to PBPs. This approach could have applications in the rational design of antibiotics targeted against PBPs and their substrates.

Evaluation of the conformational propensities of peptide isosteres as a basis for selecting bioactive pseudopeptides

Our aim was to compare the repertoires of conformers formed by the model zwitterionic peptides AA and AAA in aqueous solution with the conformational profiles of a range of their peptide isosteres, so as to facilitate selection of isosteres for synthesis and testing as biologically stable surrogates of bioactive di- and tripeptides. Comparisons were based upon the results of conformational analysis using a random search approach implemented within the SYBYL molecular modelling package, using zwitterionic molecules, simulated aqueous solvation using a dielectric constant of 80 and allowing all torsions to vary. For each compound, individual conformers were grouped on the basis of specific combinations of psi, phi and omega torsions and, using their energies, the aggregated percentage for each group was calculated using a Boltzmann distribution and displayed using a 3D pseudo Ramachandran plot relating percentage conformer to psi and phi torsions. Retroamide, N-methylamide and thioamide isosteres showed the best match to natural peptides and to the molecular recognition parameters defined for substrates of peptide transporters. The results should aid rational design of therapeutic agents in various areas, e.g. oral delivery of drugs by peptide transporters and of peptidase inhibitors. This approach may usefully be applied to various biochemical and pharmaceutical topics.

Conformational limitations of glycylsarcosine as a prototypic substrate for peptide transporters

Peptide transporters are present in all species to absorb the small peptides that occur ubiquitously as products of proteolysis. The broad substrate specificities of these systems allow them to be exploited therapeutically for delivery of peptidomimetic drugs in microbes and man. To this end, glycylsarcosine is currently used as a standard substrate for assaying peptidomimetic transport by peptide transporters. However, in this study we find it is unsuitable as a general substrate, based on assays of its transport by model bacterial peptide transporters and computer-based conformational analysis of its structure. Of the two generic transporters for di- and tripeptides, exemplified by Dpp and Tpp in Escherichia coli, only Dpp can transport glycylsarcosine. The explanation for this finding came from molecular modelling, which indicated that glycylsarcosine can adopt only a restricted range of conformers compared with typical dipeptides, and that of the conformers with a trans peptide bond, the majority have the specific psi and phi backbone torsion angles needed for molecular recognition and transport by Dpp but none possessed psi and phi torsions required for recognition by Tpp; moreover, 38% of its conformers have cis peptide bonds that are not substrates for any peptide transporter. Thus, using glycylsarcosine as substrate in competition assays with compounds that typically form conformers recognised by both types of peptide transporter will underestimate their transport. These findings have implications for assays of oral availability of peptidomimetic drugs such as beta-lactams, ACE inhibitors and anti-viral compounds, for which glycylsarcosine is routinely used.

Predominant torsional forms adopted by oligopeptide conformers in solution: parameters for molecular recognition

In this paper, we describe the predominant conformational forms adopted by tripeptides and higher oligopeptides in aqueous solution. About 50 tripeptides and almost 20 higher oligopeptides (4-6 residues) were subjected to conformational analysis using SYBYL Random Search. As with dipeptides (Grail BM, Payne JW. J. Peptide Sci. 2000; 6: 186-199), both tripeptides and higher oligopeptides were found to occupy relatively few combinations of psi-phi space that were distinct from those associated with predominant protein secondary structures (e.g. helices and beta-sheets). Again, the preferred psi (psi) values for the first residue (i - 1) were in sectors encompassed by the ranges from +150 degrees to +/-180 degrees, +60 degrees to +90 degrees and -60 degrees to -90 degrees, which were combined with preferred phi (phi) values for the second residue (i) in sectors with ranges from -150 degrees to +/-180 degrees, -60 degrees to -90 degrees and +30 degrees to +60 degrees. It was notable that tripeptides and, to a greater extent, higher oligopeptides adopted an initial psi (psi) (Tor2) from +150 degrees to +/-180 degrees. For tripeptides, their N-C distances (distance between N-terminal nitrogen and C-terminal carbon atoms) distribute about 6.5 A to give shorter, 'folded' conformers that are similar in length to dipeptides, and longer, 'extended' conformers that are distinct. Furthermore, for higher oligopeptides, their N-C distances did not increment in relation to their increasing number of residues and short, 'folded' conformers were still present. These findings have a bearing upon the recognition of these molecules as substrates for widely distributed peptidases and peptide transporters.

Structural basis for recognition of dipeptides by peptide transporters

Our objective in this work was to identify the structural basis for the molecular recognition of peptides by peptide transporters. Various assays for dipeptide transport by the dipeptide and tripeptide permeases of Escherichia coli were performed, together with measurements of thermodynamic parameters of substrate binding to the dipeptide binding protein using isothermal titration calorimetry. Computer-based conformational analysis of the test dipeptides was performed to define the repertoire of conformers that each dipeptide adopts in solution. Strict correlations were identified between the complement of particular conformers adopted by a peptide and its bioactivity as a substrate for each transporter. Details of the structural and electronic parameters that define the molecular recognition templates (MRTs) of the dipeptide substrates of these transporters are presented; similar MRTs are likely to apply with dipeptidases. These MRTs provide the essential information for the rational design of peptide-based drugs tailored for exploitation of peptide transporters in microorganisms and man.