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Molecular-dynamics simulations of [Met5]- and [D-Ala2,Met5]-enkephalins. Biological implication of monomeric folded and dimeric unfolded conformations.

To investigate the biologically active conformation of enkephalin, molecular-dynamics simulations were applied to [Met5]- and [D-Ala2,Met5]-enkephalins. The dynamic trajectory of monomeric extended [Met5]-enkephalin was analysed in terms of relative mobility between respective torsions of backbone chain. After 10 ps of the dynamics simulation, the conformational transition was converged into a stationary state among the beta-bend folded forms, where they are stabilized by several intramolecular hydrogen-bond formations. Similar conformational transition was also observed in the dynamics simulation of [D-Ala2,Met5]enkephalin, which is a more mu-receptor-specific peptide than [Met5]enkephalin. The geometrical correspondence between the monomeric enkephalin conformation in the stationary state and morphine molecule (a mu-specific rigid opiate) was surveyed by virtue of the triangular substructures generated by choosing three functional atoms in each molecule, and good resemblances were observed. On the other hand, the dynamics simulation of the antiparallel extended [Met5]enkephalin dimer showed a trajectory different from that of the monomeric one. Two intermolecular hydrogen bonds at Tyr1 (NH3+)...Met5(CO2-) end residues were held throughout the 100 ps simulation, the dimeric structure being consequently kept. The conformational transition of the backbone chains from the antiparallel extended form to the twisted one took place via an intermediate state. Many conformations revealed during the dynamics simulation showed that the relative orientations of each two Tyr1, Gly3, Phe4 and Met5 residues in the dimer are nearly related by a pseudo-C2-symmetry respectively, and both halves of the dimer structure could be further fitted to the monomeric folded enkephalin conformation. The monomeric and dimeric conformations of enkephalin at their stationary states are discussed in relation to the substrate-specificity for mu- and delta-opioid receptors.

Computer Simulation

Molecular dynamics simulations of positively selected codons in FcγRI reveal novel biochemical binding properties.

FcγRI is a high-affinity receptor for IgG, associated with autoimmune disease pathology and determines clinical responses to antibody-based immunotherapies. FcγRI has a complex evolutionary history that is not fully understood, and to address this we explored signatures of positive selection in the receptor's functional gene, FCGR1A, using codon-based selection tests on aligned 1-1 orthologous sequences from placental mammals (n = 32). Signatures of positive selection have occurred at several locations within the gene, with two sites (H148 (M2a ω 0.997 & M8 ω = 0.993)) and (W149 (M2a ω = 0.999 & M8 ω = 1.000)) exhibiting highest posterior probabilities, suggesting strong evidence of positive selection; these positions are known to form one of the FcγRI-IgG binding interfaces. We employed ancestral reconstruction to statistically infer prior codon sequences at these sites and identified ancestral H148P and W149R codons at different nodes in the phylogeny. Employing molecular dynamics simulations, we determined how evolutionary changes at these sites may have influenced the binding of FcγRI-IgG of modern-day Homo sapiens. Measuring RMSD, free energy, radius of gyration, hydrogen bond formation, and analyzing free energy landscapes, we demonstrate that structural instability between mutant structures vs the WT counterpart; however, overall binding potential increases at position 148, yet decreases at 149 in potential. H148P protonation at physiological pH remains similar, yet during acidotic calculations, protonation is likely reduced, with predicted reduction in affinity for IgG. While ancestral W149R substitutions demonstrate an implication for electron conjugation. Examining key sites at this binding FcγRI-IgG interface, our data demonstrate that these two codons have evolved in humans to be relatively insensitive to shifts in pH promoting a more stable interaction with the Fc portion of IgG during diseases that promote acidosis.

Receptors, IgG

Molecular dynamics simulations reveal subtle consequences of H3K9 and H3K27 tri-methylation on chromatin constituents.

Epigenetic modifications of histone tails are key mechanisms of genome regulation. In particular, tri-methylation of lysines (K) 9 and K27 of the histone H3 tail is important for genome silencing. In this work, we explore, using all-atom molecular dynamics simulations, the effect of these two epigenetic marks on the structure and interactions of the H3 tail in several contexts: isolated tails, nucleosomes, chromatosomes, and stacked nucleosomes. Overall, we find that although the isolated tails do not show significant conformational changes upon methylation, a more flexible and extended H3 tail compared to the native tail results in the nucleosome systems, with K9 methylation effects more pronounced. This change could facilitate the interaction of the tail with protein readers like heterochromatin protein 1 or Polycomb group. We also observe that both methylations increase the interactions of the H3 tail with the linker DNA in the context of the chromatosome, producing a chromatosome with tighter linker DNA, which could favor chromatin compaction. For stacked nucleosomes mimicking i±2 zigzag interactions, methylation of either K9 or K27 reduces the interactions of one of the H3 tails with its parental nucleosome and increases its interactions with the nonparental nucleosome, which could also help compact the chromatin fiber. In the three nucleosome-containing systems, we observe an asymmetry between the two tails, especially in the chromatosome, where one tail extends to interact with the linker DNA. This asymmetry modulates the effect that methylation has on each tail. Thus, overall, methylations of K9 and K27 have a subtle but notable impact on the H3 tail structure and its interactions within the chromatin fiber. These results help explain how this epigenetic modification compacts chromatin fibers and promotes longer-range interactions; these changes also guide how to approximate these effects in coarse-grained chromatin models.

Histones

Molecular dynamics simulations of d(C-G-C-G-A) X d(T-C-G-C-G) with and without "hydrated" counterions.

We present the results of molecular dynamics simulations on d(C-G-C-G-A) X d(T-C-G-C-G) with fully charged phosphates with and without inclusion of counterions. The average structures found in the two simulations are similar, but the simulation with counterions does give an average helix repeat, tilt, and twist in better agreement with those found in the x-ray structure of d(C-G-C-G-A-A-T-T-C-G-C-G)2. The average sugar pucker phases and amplitudes are in qualitative agreement with those found in NMR studies of double-helical DNA, and a number of examples of sugar repuckering from C2' endo to C3' endo carbon conformations in the sugar ring are found. The hydrogen bond correlations as well as torsion correlations are analyzed, and some interesting long-range correlations between dihedral angles are found.

Magnetic Resonance Spectroscopy

Molecular dynamics simulation of despentapeptide insulin in a crystalline environment.

Despentapeptide insulin (DPI), an analogue of insulin, is the only analogue of insulin existing as a monomer in crystalline form so far discovered. A 31 picosecond molecular dynamics simulation of DPI was carried out in the unit cell that includes four DPI molecules, 398 water molecules, four Cd2+, eight Na+ and four Cl-. The molecular dynamics results were compared with the available X-ray structure in terms of atomic positions, backbone dihedral angles, hydrogen bonds and positional fluctuations. Good agreement was found between the molecular dynamics results and the X-ray data. The largest root-mean-square fluctuations were observed at the N-terminal part of the B chain. This fits with the experimental observation.

Amino Acid Sequence

Molecular dynamics simulation provides a possible structure for substance P-like peptides in aqueous solution.

A hypothetical conformation of the undecapeptide Substance P in aqueous solution is generated by molecular dynamics simulation for 284 ps. The conformation takes explicit solvent interactions into account as well as entropic effects to the extent that phase space is sampled in simulation. The initial conformation is taken from energy minimization studies and modified. In spite of fluctuations through 180 degrees in some backbone dihedral angles, the peptide settles with all backbone dihedrals within +/- 60 degrees from the initial values. In 130 ps, the radius of gyration decreases from 6.2 A to 5.5 A, whereas only fluctuation (+/- .2 A) is observed during the last 150 ps. The root-mean-square deviation at optimal superposition for a pair of conformations from the last 150 ps is 0.6 A, based on backbone atoms. The final structure is close-knit, nearly globular, and stabilized by several long-lived hydrogen bonds. The simulation conformation agrees with the scarce experimental data including a large number of structure-activity relationships. Thus, the simulation conformation is a likely candidate for one of the several conformations, the existence of which has been deduced from nuclear magnetic resonance data. Simulation results and experimental modification studies suggest that Phe 8 and Leu 10 are involved in the primary binding of SP to its receptors.

Amino Acid Sequence

Molecular dynamics simulation of crystalline beta-cyclodextrin dodecahydrate at 293 K and 120 K.

Molecular dynamics (MD) simulations for crystalline beta-cyclodextrin dodecahydrate (beta-CD) at two different temperatures, 293 K and 120 K, have been performed using the GROMOS program package. The calculated structural properties are compared to those obtained from neutron diffraction studies of this system at the quoted temperatures. The simulation was carried out over a period of 20 ps on four unit cells containing 8 beta-CD molecules and 96 water molecules, whereby all atoms were allowed to move. At room temperature, the experimental positions of the (non-hydrogen) glucose atoms are reproduced within 0.034 nm, a value which is smaller than the experimental (0.041 nm) or simulated (0.049 nm) overall root mean square (rms) positional fluctuation. The corresponding numbers for the low temperature study are 0.046 nm, 0.019 nm and 0.022 nm. At both temperatures the experimentally observed degree of anisotropy of the atomic motions is also found in the simulations. The comparison of a variety of structural properties leads to the conclusion that the molecular model and force field used are able to simulate the cyclodextrin system very well. Experimentally observed differences in properties as a function of number of glucose units in the CD molecule (alpha-CD, 6 versus beta-CD, 7) and as a function of temperature are qualitatively reproduced by the simulations.

Carbohydrate Conformation

100ps molecular dynamic simulation of d(TATCACC)2.

A heptanucleotide sequence d(TATCACC)2 from OR3 region of bacteriophage lambda is considered sufficient for the recognition of Cro protein. We present here results on molecular dynamic simulations on this sequence for 100 ps in 0.02 ps interval. The simulations are done using computer program GROMOS. The conformational results are averaged over each ps. The IUPAC torsional parameters for 100 conformations are illustrated using a wheal and a dial systems. Several other stereochemical parameters such as H-bonding lengths and angles, sugar puckers, helix twist and roll angles as also distances between opposite strand phosphorus are depicted graphically. We find that there is rupture of terminal H-bonds. The bases are tilted and shifted away from the helix axis giving rise to bifurcated H-bonds. H-bonds are seen even in between different base pairs. The role of these dynamic structural changes in the recognition of OR3 operator by Cro protein is discussed in the paper.

Bacteriophage lambda

Conformation of endothelin in aqueous ethylene glycol determined by 1H-NMR and molecular dynamics simulations.

The solution conformation of a 21-residue vasoconstrictor peptide endothelin-1 (ET-1) in water-ethylene glycol has been determined by two-dimensional 1H-NMR spectroscopy and constrained molecular dynamics simulations. The N-terminus (residues 1-4) appears to undergo conformational averaging and no single structure consistent with the NMR constraints could be found for this region. Residues 5-8 form a turn, and residues 9-16 exist in a helical conformation. A flexible 'hinge' between residues 8-9 allows various orientations of the turn relative to the helix. Another 'hinge' at residue 17 connects the extended C-terminus to the bicyclic core region (residues 1-15). Residues important for binding and biological activity form a contiguous surface on one side of the helix, with the two disulfides extending from the other side of the helix.

Computer Simulation

Analysis of active site motions from a 175 picosecond molecular dynamics simulation of camphor-bound cytochrome P450cam.

The structure and internal motions of the active site residues of camphor-bound cytochrome P450cam have been evaluated on the basis of a 175 psec molecular dynamics simulation. The active site residues generally show very small deviations away from their starting crystal positions. These residues also generally show much smaller fluctuations than for the enzyme as a whole. Phe 87 is dynamically very unusual and is suggested to play a role in substrate movement into and/or out of the active site. The average distance between the heme iron and atoms C5, C6, and C3 of camphor is 5.3, 6.0, and 7.0 A, respectively. This trend is consistent with the experimentally observed stereospecificity of the hydroxylation reaction. On the basis of distance and angle criteria, both 5-exo and 5-endo hydrogen abstraction are predicted to occur during the hydroxylation reaction; although the 5-exo pathway is expected to be 3-fold more likely.

Binding Sites

Molecular dynamics simulations of helix denaturation.

An understanding of the structural transitions that an alpha-helix undergoes will help to elucidate such motions in proteins and their role in protein folding. We present the results of molecular dynamics simulations to investigate these transitions in a short polyalanine peptide (13 residues) both in vacuo and in the presence of solvent. The denaturation of this peptide was monitored as a function of temperature (ranging from 5 to 200 degrees C). In vacuo, the helical state predominated at all temperatures, whereas in solution the helix melted with increasing temperature. The peptide was predominantly helical at low temperature in solution, while at intermediate temperatures the peptide spent the bulk of the time fluctuating between different conformations with intermediate amounts of helix, e.g. not completely helical nor entirely non-helical. Many of these conformations consisted of short helical segments with intervening non-helical residues. At high temperature the peptide unfolded and adopted various collapsed unstructured states. The intrahelical hydrogen bonds that break at high temperature were not fully compensated by hydrogen bonds with water molecules in the partially unfolded forms of the peptide. Increases in temperature disrupted both the helical structure and the peptide-water interactions. Water played a major but indirect role in facilitating unfolding, as opposed to specifically competing for the intrapeptide hydrogen bonds. The implications of our results to protein folding are discussed.

Alanine

Molecular dynamics studies of a DNA-binding protein: 2. An evaluation of implicit and explicit solvent models for the molecular dynamics simulation of the Escherichia coli trp repressor.

Although aqueous simulations with periodic boundary conditions more accurately describe protein dynamics than in vacuo simulations, these are computationally intensive for most proteins. Trp repressor dynamic simulations with a small water shell surrounding the starting model yield protein trajectories that are markedly improved over gas phase, yet computationally efficient. Explicit water in molecular dynamics simulations maintains surface exposure of protein hydrophilic atoms and burial of hydrophobic atoms by opposing the otherwise asymmetric protein-protein forces. This properly orients protein surface side chains, reduces protein fluctuations, and lowers the overall root mean square deviation from the crystal structure. For simulations with crystallographic waters only, a linear or sigmoidal distance-dependent dielectric yields a much better trajectory than does a constant dielectric model. As more water is added to the starting model, the differences between using distance-dependent and constant dielectric models becomes smaller, although the linear distance-dependent dielectric yields an average structure closer to the crystal structure than does a constant dielectric model. Multiplicative constants greater than one, for the linear distance-dependent dielectric simulations, produced trajectories that are progressively worse in describing trp repressor dynamics. Simulations of bovine pancreatic trypsin were used to ensure that the trp repressor results were not protein dependent and to explore the effect of the nonbonded cutoff on the distance-dependent and constant dielectric simulation models. The nonbonded cutoff markedly affected the constant but not distance-dependent dielectric bovine pancreatic trypsin inhibitor simulations. As with trp repressor, the distance-dependent dielectric model with a shell of water surrounding the protein produced a trajectory in better agreement with the crystal structure than a constant dielectric model, and the physical properties of the trajectory average structure, both with and without a nonbonded cutoff, were comparable.

Amino Acid Sequence

A model of the molten globule state from molecular dynamics simulations.

It is generally accepted that a protein's primary sequence determines its three-dimensional structure. It has proved difficult, however, to obtain detailed structural information about the actual protein folding process and intermediate states. We present the results of molecular dynamics simulations of the unfolding of reduced bovine pancreatic trypsin inhibitor. The resulting partially "denatured" state was compact but expanded relative to the native state (11-25%); the expansion was not caused by an influx of water molecules. The structures were mobile, with overall secondary structure contents comparable to those of the native protein. The protein experienced relatively local unfolding, with the largest changes in the structure occurring in the loop regions. A hydrophobic core was maintained although packing of the side chains was compromised. The properties displayed in the simulation are consistent with unfolding to a molten globule state. Our simulations provide an in-depth view of this state and details of water-protein interactions that cannot yet be obtained experimentally.

Animals

Molecular dynamics simulations of halide glasses.

Halide glasses have been extensively studied in recent years because of their potential application as infrared transmitting fibre optic materials. They are believed to be more ionic than glasses based on silica and should therefore be more amenable to molecular dynamics simulation using simple two-body potentials. Here the main features of structural models derived using such techniques are described and compared with available structural data. Possible future applications of this approach are outlined.

Chemical Phenomena

A 175-psec molecular dynamics simulation of camphor-bound cytochrome P-450cam.

The structure and internal motions of cytochrome P-450cam, a monooxygenase heme enzyme with 414 amino acid residues, with camphor bound at the active site have been evaluated on the basis of a 175-psec molecular dynamics simulation carried out at 300 K. All hydrogen atoms were explicitly modeled, and 204 crystallographic waters were included in the simulation. Based on an analysis of the time course of the trajectory versus potential energy, root mean square deviation, radius of gyration, and hydrogen bonding, the simulation was judged to be stable and representative of the average experimental structure. The averaged structural properties of the enzyme were evaluated from the final 135 psec of the simulation. The average atomic displacement from the X-ray structure was 1.39 A for all heavy atoms and 1.17 A for just C-alpha atoms. The average root-mean-square (rms) fluctuations of all heavy atoms and backbone atoms were 0.42 and 0.37 A, respectively. The computed rms fluctuations were in reasonable agreement with the experimentally determined temperature factors. All 13 segments of alpha-helix and 5 segments of beta-sheet were well preserved with the exception of the N-terminal half of helix F which alternated between an alpha-helix and a 310-helix. In addition there were in general only small variations in the relative orientation of adjacent alpha-helices. The rms fluctuations of the backbone dihedral angles in the secondary structure elements were almost uniformly smaller, with the fluctuation in alpha-helices and beta-sheets, 31 and 10% less, respectively, than those in nonsecondary structure regions. The reported crystal structure contains kinks in both helices C and I. In the simulation, both of these regions showed high mobility and large deviations from their starting positions. Since the kink in the I helix is at the oxygen binding site, these motions may have mechanistic implications.

Binding Sites

Molecular dynamics simulation of the renin inhibitor H142 in water.

H142 is a synthetic decapeptide designed to inhibit renin, an enzyme acting in the regulation of blood pressure. The inhibiting effect of H142 is caused by a reduction of a -Leu-Val-peptide bond (i. e. C(= O)-NH----CH2-NH). The conformational and dynamical properties of H142 and its unreduced counterpart (H142n) was modelled by means of molecular dynamics simulations. Water was either included explicitly in the simulations or as a dielectric continuum. When water molecules surround the peptides, they remain in a more or less extended conformation through the simulation. If water is replaced by a dielectric continuum, the peptides undergo a conformational change from an extended to a folded state. It is not clear whether this difference is a consequence of a too short simulation time for the water simulations, a force-field artifact promoting extended conformations, or if the extended conformation represents the true conformational state of the peptide. A number of dynamic properties were evaluated as well, such as overall rotation, translational diffusion, side-chain dynamics and hydrogen bonding.

Amino Acid Sequence

Molecular dynamics simulation of the hydration shell of a B-DNA decamer reveals two main types of minor-groove hydration depending on groove width.

The conformation of the self-complementary B-DNA decamer C-C-A-A-C-G-T-T-G-G is known from a high-resolution x-ray crystal structure analysis. Molecular dynamics simulation of the hydration shell of the decamer has revealed two main types of minor-groove hydration, depending on groove width. The narrow part of the minor groove has a spine of hydration analogous to that described for the A + T-rich center of the minor groove in the dodecamer C-G-C-G-A-A-T-T-C-G-C-G [Drew, H. R. & Dickerson, R. E. (1981) J. Mol. Biol. 151, 535-556], the first hydration layer of which contains one water molecular per base pair. In contrast, in the wide part of the minor groove, each base is hydrated individually, water molecules lying predominantly in the base plane. In intermediate-width regions, preferred water-molecule sites are shifted away from the base plane in a 3'-to-5' direction. This shift becomes more pronounced as the minor groove narrows, until the two water molecules lie approximately midway between base pairs. If the minor groove is narrowed still further, it accommodates only one water molecule, and the hydration transforms to the well-known water spine. The observed pattern agrees with available crystallographic data and with our earlier calculations. The results confirm the assumption that preferred positions of water oxygens in the minor groove depend predominantly on groove width rather than on base sequence. However, the location of water hydrogens, and the network of hydrogen bonding, can depend on base sequence. We suggest a simple explanation of water-spine formation in the narrow minor groove of a random DNA sequence. The spine of hydration may be a property of the minor groove of overwound variants of B-DNA, the C and D forms, for which the middle part of the decamer C-C-A-A-C-G-T-T-G-G can serve as a model.

Base Sequence

Solution structure of the Lewis x oligosaccharide determined by NMR spectroscopy and molecular dynamics simulations.

The Lewis x (Lex) determinant is a trisaccharide fragment that has been implicated as a specific differentiation antigen, as a tumor antigen, and as a key component of the ligand for the endothelial leukocyte adhesion molecule, ELAM-1. High-resolution nuclear magnetic resonance spectroscopy shows it to have a relatively rigid structure. Only a small range of glycosidic dihedral angles in the trisaccharide produce simulated nuclear Overhauser effect spectra agreeing with data measured for the human milk pentasaccharide, lacto-N-fucopentaose-3, which contains the Lex determinant. Independently, the same average structure for the Lex determinant arises from in vacuo molecular dynamics simulations. The proposed conformation of the Lex trisaccharide is very similar to that recently determined for the closely related Lea trisaccharide. In agreement with the recent finding that both sialylated Lea and Lex react with ELAM-1, the results presented here show that the Lea and Lex determinants contain very similar carbohydrate domains.

Carbohydrate Conformation