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A theoretical study of pentacyclo-undecane cage peptides of the type [Ac-X-Y-NHMe].

The conformational preferences of peptides of the type, Ac-X-Y-NHMe, where X and Y = Ala, cage and Pro, were studied by means of computational techniques within the framework of a molecular mechanics approach. For each of the eight peptide analogues, extensive conformational searches were carried out using molecular dynamics (MD) and simulated annealing (SA) protocols in an iterative fashion. Both results are in good agreement and complement each other. The conformational search indicates that the cage residue restricts the conformational freedom of the dipeptide considerably in comparison with the other model residues used. This study revealed that proline exhibits a greater tendency in promoting reverse-turn characteristics in comparison to the cage peptides, which show promising beta-turn characteristics. It was also found that 300-500 K is not sufficient to overcome rotational barriers for cage peptides. In all cases, the low-energy conformers have a tendency to form bent structures.

Models, Theoretical↗

Heme structure and orientation in single monolayers of cytochrome c on polar and nonpolar soft surfaces.

Polarized x-ray absorption fine structure (XAFS) spectroscopy has been performed in fluorescence mode under total external reflection conditions on frozen hydrated single monolayers of yeast cytochrome c (YCC). The protein molecules were vectorially oriented within the monolayer by tethering their naturally occurring and unique surface cysteine residues to the sulfhydryl-endgroups at the surface of a mixed organic self-assembled monolayer, itself covalently attached to an ultrapure silicon wafer. The sulfhydryl-endgroups were isolated by dilution with either methyl- or hydroxyl-endgroups, producing macroscopically nonpolar or uncharged-polar soft surfaces, respectively. Independent information on the heme-plane orientation relative to the monolayer plane was obtained experimentally via optical linear dichroism. The polarized XAFS data have been analyzed both qualitatively and by a global mapping approach limited to systematically altering the various iron-ligand distances within a model for the local atomic environment of the heme prosthetic group, and comparing the theoretically generated XAFS spectra with those obtained experimentally. A similar analysis of unpolarized XAFS data from a frozen solution of YCC was performed using either the heme environment from the NMR solution or the x-ray crystallographic data for YCC as the model structure. All resulting iron-ligand distances were then used in molecular dynamics (MD) computer simulations of YCC in these three systems to investigate the possible effects of anisotropic ligand motions on the fits of the calculated to the experimental XAFS spectra.

Absorptiometry, Photon↗

Molecular dynamics studies of the interface between a model membrane and an aqueous solution.

Molecular Dynamics (MD) computer simulation studies are reported for a system consisting of two model membranes in contact with an aqueous solution. The influence of the membrane on the adjacent liquid is of main interest in the present study. It is therefore attempted to make the system sufficiently large to encompass the entire region between bulk liquid and the membranes. The latter are modeled by two-dimensional arrays of COO- groups with rotational and translational degrees of freedom. The water molecules are represented by the well-tested TIP4P model. The intermolecular potentials are parametrized in terms of Coulomb interactions between partial charges on the molecular frames and empirical, mostly Lennard-Jones (12-6), interactions centered at the atomic positions. A strong layering of the liquid accompanied by an increase in average water density is found in the vicinity of the membrane. The structural perturbation reaches approximately 8 A into the liquid. We discuss the static structure in these layers in terms of atom-atom distance distribution functions and study the average orientation of the water molecule dipoles with respect to the membrane. From the distribution of the ions, we find that less than 50% of the surface charge of the membrane is neutralized by Na+ ions in the first layer above the membrane. A simplified model of the adsorption site of the ion on the membrane is developed from the distance distributions. Finally the hydration of the Na+ in the first adsorbed layer is discussed.

Computer Simulation↗

Low-barrier hydrogen bond hypothesis in the catalytic triad residue of serine proteases: correlation between structural rearrangement and chemical shifts in the acylation process.

To elucidate the catalytic advantage of the low-barrier hydrogen bond (LBHB), we analyze the hydrogen bonding network of the catalytic triad (His57-Asp102-Ser195) of serine protease trypsin, one of the best examples of the LBHB reaction mechanism. Especially, we focus on the correlation between the change of the chemical shifts and the structural rearrangement of the active site in the acylation process. To clarify LBHB, we evaluate the two complementary properties. First, we calculate the NMR chemical shifts of the imidazole ring of His57 by the gauge-including atomic orbital (GIAO) approach within the ab initio QM/MM framework. Second, the free energy profile of the proton transfer from His57 to Asp102 in the tetrahedral intermediate is obtained by ab initio QM/MM calculations combined with molecular dynamics free energy perturbation (MD-FEP) simulations. The present analyses reveal that the calculated shifts reasonably reproduce the observed values for (1)H chemical shift of H(epsilon)(1) and H(delta)(1) in His57. The (15)N and (13)C chemical shifts are also consistent with the experiments. It is also shown that the proton between His57 and Asp102 is localized at the His57 side. This largely downfield chemical shift is originated from the strong electrostatic interaction, not a covalent-like bonding character between His57 and Asp102. Also, it is proved that a slight downfield character of H(epsilon)(1) is originated from a electrostatic interaction between His57 and the backbone carbonyl group of Val213 and Ser214. These downfield chemical shifts are observed only when the tetrahedral intermediate is formed in the acylation process.

Acylation↗

How to model solvation of peptides? Insights from a quantum mechanical and molecular dynamics study of N-methylacetamide. 2. 15N and 17O nuclear shielding in water and in acetone.

This paper represents the second part of a study of solvation of peptides. As in the first part, N-methyl acetamide has been used to model the specific features of solvation of the peptide linkage. In this part of the study, devoted to nuclear magnetic shieldings, acetone and water have been used as examples of polar and/or hydrogen-bond donor/acceptor solvents. Once again, three different solvation models have been tested and compared, namely, a continuum only description, a discrete description in terms of solute-solvent clusters, and a mixed discrete/continuum description in terms of clusters embedded in a continuum. Both QM and classical simulation (e.g., MD) approaches have been used to determine the structure of the clusters. The analysis of the results of the three different models, when combined with those obtained in the first part of the study devoted to IR and UV spectra, has allowed us to identify and characterize different aspects of solvation and to outline a possible computational strategy to describe dynamic and static effects due to bulk and specific peptide-solvent interactions.

Acetamides↗

A molecular dynamics study based post facto free energy analysis of the binding of bovine angiogenin with UMP and CMP ligands.

Angiogenin is a protein belonging to the superfamily of RNase A. The RNase activity of this protein is essential for its angiogenic activity. Although members of the RNase A family carry out RNase activity, they differ markedly in their strength and specificity. In this paper, we address the problem of higher specificity of angiogenin towards cytosine against uracil in the first base binding position. We have carried out extensive nano-second level molecular dynamics(MD) computer simulations on the native bovine angiogenin and on the CMP and UMP complexes of this protein in aqueous medium with explicit molecular solvent. The structures thus generated were subjected to a rigorous free energy component analysis to arrive at a plausible molecular thermodynamic explanation for the substrate specificity of angiogenin.

Animals↗

Mechanism for the rotamase activity of FK506 binding protein from molecular dynamics simulations.

Molecular dynamics (MD) and free energy perturbation (FEP) methods are used to study the binding and mechanism of isomerization of a tetrapeptide (AcAAPFNMe) by FK506 binding protein (FKBP). Detailed structures are predicted for the complexes of FKBP with the peptide in both ground-state and transition-state forms. The results support a mechanism of catalysis by distortion, where a large number of nonbonded interactions act together to stabilize preferentially the twisted transition state. The two most important groups for the catalysis are suggested to be Trp59 and Asp37, but several other groups are identified as directly or indirectly involved in the binding and catalysis. However, the structural results do not support the notion that the keto oxygen of the immunosuppressive agents FK506 and rapamycin mimics the oxygen for the twisted peptide bond in the FKBP-transition-state complex.

Amino Acid Sequence↗

Diffraction-based density restraints for membrane and membrane-peptide molecular dynamics simulations.

We have recently shown that current molecular dynamics (MD) atomic force fields are not yet able to produce lipid bilayer structures that agree with experimentally-determined structures within experimental errors. Because of the many advantages offered by experimentally validated simulations, we have developed a novel restraint method for membrane MD simulations that uses experimental diffraction data. The restraints, introduced into the MD force field, act upon specified groups of atoms to restrain their mean positions and widths to values determined experimentally. The method was first tested using a simple liquid argon system, and then applied to a neat dioleoylphosphatidylcholine (DOPC) bilayer at 66% relative humidity and to the same bilayer containing the peptide melittin. Application of experiment-based restraints to the transbilayer double-bond and water distributions of neat DOPC bilayers led to distributions that agreed with the experimental values. Based upon the experimental structure, the restraints improved the simulated structure in some regions while introducing larger differences in others, as might be expected from imperfect force fields. For the DOPC-melittin system, the experimental transbilayer distribution of melittin was used as a restraint. The addition of the peptide caused perturbations of the simulated bilayer structure, but which were larger than observed experimentally. The melittin distribution of the simulation could be fit accurately to a Gaussian with parameters close to the observed ones, indicating that the restraints can be used to produce an ensemble of membrane-bound peptide conformations that are consistent with experiments. Such ensembles pave the way for understanding peptide-bilayer interactions at the atomic level.

Birefringence↗

Fuzzy cluster analysis of molecular dynamics trajectories.

We propose fuzzy clustering as a method to analyze molecular dynamics (MD) trajectories, especially of proteins and polypeptides. A fuzzy cluster analysis locates classes of similar three-dimensional conformations explored during a molecular dynamics simulation. The method can be readily applied to results from both equilibrium and nonequilibrium simulations, with clustering on either global or local structural parameters. The potential of this technique is illustrated by results from fuzzy cluster analyses of trajectories from MD simulations of various fragments of human parathyroid hormone (PTH). For large molecules, it is more efficient to analyze the clustering of root-mean-square distances between conformations comprising the trajectory. We found that the results of the clustering analysis were unambiguous, in terms of the optimal number of clusters of conformations, for the majority of the trajectories examined. The conformation closest to the cluster center can be chosen as being representative of the class of structures making up the cluster, and can be further analyzed, for example, in terms of its secondary structure. The CPU time used by the cluster analysis was negligible compared to the MD simulation time.

Amino Acid Sequence↗

Protein-folding dynamics: overview of molecular simulation techniques.

Molecular dynamics (MD) is an invaluable tool with which to study protein folding in silico. Although just a few years ago the dynamic behavior of a protein molecule could be simulated only in the neighborhood of the experimental conformation (or protein unfolding could be simulated at high temperature), the advent of distributed computing, new techniques such as replica-exchange MD, new approaches (based on, e.g., the stochastic difference equation), and physics-based reduced models of proteins now make it possible to study protein-folding pathways from completely unfolded structures. In this review, we present algorithms for MD and their extensions and applications to protein-folding studies, using all-atom models with explicit and implicit solvent as well as reduced models of polypeptide chains.

Algorithms↗

Simulation of oligopeptide dynamics and folding. The use of NMR chemical shifts to analyse the MD trajectories.

In this paper, a simulation of the folding process, based on a random perturbations of the phi, psi, chi1 dihedral angles, is proposed to approach the formation at the atom level of both principal elements of protein secondary structure, the alpha-helix and the beta-hairpin structures. Expecting to understand what may happen in solution during the formation of such structures, the behaviour of large sets of random conformations that are generated for small oligopeptides was analysed. Different factors that may influence the folding (as conformational propensity, hydrophobic interactions and side-chain mobility) were investigated. The difference between the corresponding theoretical folding and the real conformational diversity that is observed in solution is appraised by a comparison between the calculated and observed NMR secondary chemical shifts. From this study it appears that hydrophobic interactions and mobility represent the principal factors that initiate folding and determine the observed hydrogen-bond pattern, which subsequently allows packing between the peptide side chains.

Computer Simulation↗

Molecular dynamics study of a gelsolin-derived peptide binding to a lipid bilayer containing phosphatidylinositol 4,5-bisphosphate.

Gelsolin is an actin-severing protein whose action is initiated by Ca(2+) and inhibited by binding to phosphorylated inositol lipid or phosphoinositides. The regions of gelsolin responsible for phosphoinositide binding are comprised of residues 150-169 (G150-169) and 135-142 (G135-142). The corresponding peptides possess similar binding potency as native gelsolin. Their common feature is the presence of arginine and lysine residues that can bind to negatively charged phosphate groups of phosphoinositides. In this work the binding of the G150-169 peptide to a phosphatidylinositol 4,5-bisphosphate (PIP2) cluster in a lipid membrane model was investigated by molecular dynamics calculations (MD) with the AMBER 4.1 force field, taking into account explicit solvent molecules. Initially the structure of G150-169 was simulated by using the electrostatically driven Monte Carlo (EDMC) and MD methods, and the resulting structure agreed within 3.7 A backbone-atom root mean square deviation with the corresponding experimentally derived structure (PDB code: 1SOL). Using this model for the peptide, a subsequent MD simulation of G150-169 in a periodic box containing a model of dimyristoyl-phosphatidylcholine (DMPC) lipids with a cluster of four PIP2 molecules was carried out. During the simulation G150-169 interacted strongly with PIP2 molecules, initially by formation of salt bridges between its N-terminal basic groups and the phosphate groups of PIP2, followed by formation of hydrophobic bonds between the hydrophobic side chains of the peptide and the fatty acid tail of the lipid. As a result of the formation of hydrophobic bonds, the PIP2 molecules were pulled out from the lipid bilayer. This mode of binding differs from those of other PIP2-binding protein motifs such as PH domains that interact solely with the hydrophilic head group of PIP2. These results suggest that dissociation of gelsolin from actin by PIP2 lipids may involve entering of the PIP2 molecules to the gelsolin-actin interface, thereby weakening the interactions between these proteins.

Binding Sites↗

The role and perspective of ab initio molecular dynamics in the study of biological systems.

Ab initio molecular dynamics (MD) allows realistic simulations to be performed without adjustable parameters. In recent years, the technique has been used on an increasing number of applications to biochemical systems. Here we describe the principles on which ab initio MD is based. We focus on the most popular implementation, based on density functional theory and plane wave basis set. By a survey of recent applications, we show that despite the current limitations of size and time scale, ab initio MD (and hybrid ab initio MD/MM approaches) can play an important role for the modeling of biological systems. Finally, we provide a perspective for the advancement of methodological approaches which may further expand the scope of ab initio MD in biomolecular modeling.

Animals↗

New scoring functions for virtual screening from molecular dynamics simulations with a quantum-refined force-field (QRFF-MD). Application to cyclin-dependent kinase 2.

A recently introduced new methodology based on ultrashort (50-100 ps) molecular dynamics simulations with a quantum-refined force-field (QRFF-MD) is here evaluated in its ability both to predict protein-ligand binding affinities and to discriminate active compounds from inactive ones. Physically based scoring functions are derived from this approach, and their performance is compared to that of several standard knowledge-based scoring functions. About 40 inhibitors of cyclin-dependent kinase 2 (CDK2) representing a broad chemical diversity were considered. The QRFF-MD method achieves a correlation coefficient, R(2), of 0.55, which is significantly better than that obtained by a number of traditional approaches in virtual screening but only slightly better than that obtained by consensus scoring (R(2) = 0.50). Compounds from the Available Chemical Directory, along with the known active compounds, were docked into the ATP binding site of CDK2 using the program Glide, and the 650 ligands from the top scored poses were considered for a QRFF-MD analysis. Combined with structural information extracted from the simulations, the QRFF-MD methodology results in similar enrichment of known actives compared to consensus scoring. Moreover, a new scoring function is introduced that combines a QRFF-MD based scoring function with consensus scoring, which results in substantial improvement on the enrichment profile.

Computer Simulation↗

A high performance system for molecular dynamics simulation of biomolecules using a special-purpose computer.

GRAPE (GRavity PipE) processors are special purpose computers for simulation of classical particles. The performance of MD-GRAPE, one of the GRAPEs developed for molecular dynamics, was investigated. The effective speed of MD-GRAPE was equivalent to approximately 6 Gflops. The precision of MD-GRAPE was good judging from the acceptable fluctuation of the total energy. Then a software named PEACH (Program for Energetic Analysis of bioCHemical molecules) was developed for molecular dynamics of biomolecules in combination with MD-GRAPE. Molecular dynamics simulation was performed for several protein-solvent systems with different sizes. Simulation of the largest system investigated (27,000 atoms) took only 5 sec/step. Thus, the PEACH-GRAPE system is expected to be useful in accurate and reliable simulation of large biomolecules.

Computational Biology↗

Solvophobic and steric effects of side groups on polymer folding: molecular modeling studies of amine-functionalized m-poly(phenyleneethynylene) foldamers in aqueous solution.

The folding behavior of five different amine-functionalized m-poly(phenyleneethynylene) (m-PPE) oligomers containing 24 phenyl rings (12 residues, where a residue includes 2 phenyl rings) in water was examined by using a combination of molecular dynamics (MD) and replica exchange molecular dynamics (REMD) simulation techniques. The REMD method employed the highly parallelized GROMACS MD software and a modified OPLS-AA force field to simulate 44 replicas of each solvated system in parallel, with temperatures ranging from 300 to 577 K. Our results showed that the REMD method was more effective in predicting the helical conformation of the m-PPE in water, from an extended structure, than canonical MD methods in the same simulation time. Furthermore, we observed from canonical MD simulations of the explicitly solvated helical m-PPEs at 300 K that the radius of gyration, average helix inner diameter, and average helix pitch of the helical structure all pass through a minima when the side group is R = OC(2)H(5) as R is changed from R = H through OC(4)H(9).

Alkynes↗

Binding preferences of hydroxamate inhibitors of the matrix metalloproteinase human fibroblast collagenase.

In this paper we report molecular dynamics (MD) and free energy perturbation (FEP) studies carried out on enzyme-inhibitor (two hydroxamates that only differ by a carbon-carbon double bond) complexes of human fibroblast collagenase to obtain insights into the structural and energetic preferences of these inhibitors. We have developed a bonded model for the catalytic and structural zinc centers (Hoops, S. C.; et al. J. Am. Chem. Soc. 1991, 113, 8262-8270) where the electrostatic representation for this model was derived using a novel quantum-mechanical/molecular-mechanical (QM/MM) minimization procedure followed by electrostatic potential fitting. The resulting bonded model for the zinc ions was then used to generate MD trajectories for structural analysis and FEP studies. This model has satisfactorily reproduced the structural features of the active site, and furthermore, the FEP simulations gave relative free energies of binding in good agreement with experimental results. MD simulations in conjunction with the FEP are able to provide a structural explanation regarding why one hydroxamate inhibitor is favored over the other, and we are also able to make predictions about changes in the inhibitor that would enhance protein-inhibitor interactions.

Binding Sites↗

Molecular dynamics simulations of Trp side-chain conformational flexibility in the gramicidin A channel.

Gramicidin A (gA) is prototypical peptide antibiotic and a model ion channel former. Configured in the solid-state NMR beta(6.5)-helix channel conformation, gA was subjected to 1-ns molecular dynamics (MD) gas phase simulations using the all-atom charmm22 force field to ascertain the conformational stability of the Trp side chains as governed by backbone and neighboring side-chain contacts. Three microcanonical trajectories were computed using different initial atomic velocities for each of twenty different initial structures. For each set, one of the four Trp side chains in each monomer was initially positioned in one of the five non-native conformations (A. E. Dorigo et al., Biophysical Journal, 1999, Vol. 76, 1897-1908), the other Trps being positioned in the native state, o1. In three additional control simulations, all Trps were initiated in the native conformation. After equilibration, constraints were removed and subsequent conformational changes of the initially constrained Trp were measured. The chi(1) was more flexible than chi(2.1). The energetically optimal orientation, o1 (Dorigo et al., 1999), was the most stable in all four Trp positions (9, 11, 13, 15) and remained unchanged for the entire 1 ns simulation in 19 of 24 trials. Changes in chi(1) from each of the 5 suboptimal states occur readily. Two of the non-native conformations reverted readily to o1, whereas the other three converted to an intermediate state, i2. There were frequent interconversions between i2 and o1. We speculate that experimentally observed Trp stability is caused by interactions with the lipid-water interface, and that stabilization of one of the suboptimal conformations in gA, such as i2, by lipid headgroups could produce a secondary, metastable conformational state. This could explain recent experimental studies of differences in the channel conductance dispersity between gA and a Trp-to-Phe gA analog, gramicidin M (gM, J. C. Markham et al., Biochimica et Biophysica Acta, 2001, Vol. 1513, 185-192).

Dimerization↗