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Density functional theory for efficient ab initio molecular dynamics simulations in solution.

We present a density functional for first-principles molecular dynamics simulations that includes the electrostatic effects of a continuous dielectric medium. It allows for numerical simulations of molecules in solution in a model polar solvent. We propose a smooth dielectric model function to model solvation into water and demonstrate its good numerical properties for total energy calculations and constant energy molecular dynamics.

Algorithms↗

Molecular dynamics simulation and nuclear magnetic resonance studies of the terminal glucotriose unit found in the oligosaccharide of glycoprotein precursors.

The trisaccharide alpha-d-Glcp-(1 --> 2)-alpha-d-Glcp-(1 --> 3)-alpha-d-Glcp-OMe, a model for the terminal glucotriose in Glc(3)Man(9)GlcNAc(2) in glycoprotein precursors, has been investigated by computer simulations and NMR spectroscopy. Molecular dynamics simulations were performed for 1 ns in aqueous solution and 20 ns in vacuo using the CHARMM-based force fields PARM22 and CHEAT95. An additional Monte Carlo simulation with the HSEA force field was also carried out. Experimental NMR data in water solution was obtained from measurement of long-range (1)H,(13)C heteronuclear trans-glycosidic coupling constants, (3)J(H,C), using one-dimensional Hadamard spectroscopy. Calculation of the (3)J(H,C) values from the simulations showed a varying degree of agreement to experimental data. It could be shown from simulation that the φ torsion angles differed, which was corroborated by the NMR measurements. Analyses were done of radial distribution functions and of hydrogen bonds. It was suggested that intermolecular hydrogen bonds were present, but in contrast to simulation the results from NMR spectroscopy did not support any major contribution. Hence, their influence on the conformation of the trisaccharide is rather small. Comparison of (1)H NMR chemical shifts for the trisaccharide and the glucotriose in Glc(3)Man(8)GlcNAc revealed high similarity. However, the derived conformation of the model substance in this work differed at one glycosidic torsion angle compared to the glucotriose on a large oligosaccharide.

Carbohydrate Conformation↗

Molecular dynamics simulations on SDF-1alpha: binding with CXCR4 receptor.

Insights into the interacting mode of CXCR4 with SDF-1alpha are crucial in understanding the structural and functional characteristics of CXCR4 receptor. In this paper a computational pipeline, integrating protein structure prediction, molecular dynamics simulations, automated molecular docking, and Brownian dynamics simulations were employed to investigate the dynamic and energetic aspects of CXCR4 associating with SDF-1alpha. The entire simulation revealed the surface distribution feature of electrostatic potentials and conformational "open-close" process of the receptor. The possible binding conformation of CXCR4 was identified, and the CXCR4-SDF-1alpha binding complex was generated. Arg188-Glu277 salt bridge plays an important role for both the extracellular domain conformational change and SDF-1alpha binding. Two binding sites were mapped at the extracellular domain (Site 1) and inside the transmembrane domain (Site 2), which are composed of conserved residues. Sites 1 and 2 contribute approximately 60% and 40% to the binding affinity with SDF-1alpha, respectively. The binding model is in agreement with most of the experimental data. Transmembrane VI has more significant motion in the harmonious conformational transition of CXCR4 during SDF-1alpha binding, which may be possibly associated with signal transduction. Based on the modeling and simulation, a binding mechanism hypothesis between CXCR4 and SDF-1alpha and its relationship to the signal transduction has been proposed.

Algorithms↗

Hydrogen bonding in helical polypeptides from molecular dynamics simulations and amide hydrogen exchange analysis: alamethicin and melittin in methanol.

Molecular dynamics simulations of ion channel peptides alamethicin and melittin, solvated in methanol at 27 degrees C, were run with either regular alpha-helical starting structures (alamethicin, 1 ns; melittin 500 ps either with or without chloride counterions), or with the x-ray crystal coordinates of alamethicin as a starting structure (1 ns). The hydrogen bond patterns and stabilities were characterized by analysis of the dynamics trajectories with specified hydrogen bond angle and distance criteria, and were compared with hydrogen bond patterns and stabilities previously determined from high-resolution NMR structural analysis and amide hydrogen exchange measurements in methanol. The two alamethicin simulations rapidly converged to a persistent hydrogen bond pattern with a high level of 3(10) hydrogen bonding involving the amide NH's of residues 3, 4, 9, 15, and 18. The 3(10) hydrogen bonds stabilizing amide NH's of residues C-terminal to P2 and P14 were previously proposed to explain their high amide exchange stabilities. The absence, or low levels of 3(10) hydrogen bonds at the N-terminus or for A15 NH, respectively, in the melittin simulations, is also consistent with interpretations from amide exchange analysis. Perturbation of helical hydrogen bonding in the residues before P14 (Aib10-P14, alamethicin; T11-P14, melittin) was characterized in both peptides by variable hydrogen bond patterns that included pi and gamma hydrogen bonds. The general agreement in hydrogen bond patterns determined in the simulations and from spectroscopic analysis indicates that with suitable conditions (including solvent composition and counterions where required), local hydrogen-bonded secondary structure in helical peptides may be predicted from dynamics simulations from alpha-helical starting structures. Each peptide, particularly alamethicin, underwent some large amplitude structural fluctuations in which several hydrogen bonds were cooperatively broken. The recovery of the persistent hydrogen bonding patterns after these fluctuations demonstrates the stability of intramolecular hydrogen-bonded secondary structure in methanol (consistent with spectroscopic observations), and is promising for simulations on extended timescales to characterize the nature of the backbone fluctuations that underlie amide exchange from isolated helical polypeptides.

Alamethicin↗

X-ray diffuse scattering and rigid-body motion in crystalline lysozyme probed by molecular dynamics simulation.

Rigid-body motions are determined from a 1 ns molecular dynamics simulation of the unit cell of orthorhombic hen egg-white lysozyme and their contribution to X-ray diffuse scattering intensities are examined. Using a dynamical cluster technique, groups of backbone atoms that move as approximately rigid bodies are derived from the intramolecular interatomic fluctuation matrix. These groups tend to be local in the sequence or connected by disulphide bonds, and contain on average five residues each, X-ray diffuse scattering patterns, which are sensitive to collective motions, are calculated from the full simulation trajectory (including all the protein degrees of freedom). The results reproduce the main features of the experimental scattering. Diffuse scattering is also calculated from fitted trajectories of the rigid bodies. The full simulation diffuse scattering and atomic displacements are found to be well reproduced by a model in which the backbone atoms form the rigid groups determined using the dynamical cluster technique and the individual side-chains behave as separate rigid bodies: the resulting R-factor with the full simulation scattering is 5%. Quantitatively poorer agreement is obtained from trajectories in which the secondary structural elements of the protein are considered rigid. Rigid whole-molecule and domain motions make only minor contributions to the protein atom displacements. Finally, correlations in the interatomic fluctuations are examined directly using a canonical method.

Computer Simulation↗

Molecular dynamics simulations of B-DNA: an analysis of the role of initial molecular configuration, randomly assigned velocity distribution, long integration times, and nonconstrained termini.

Molecular dynamics simulations of three DNA sequences using the AMBER 3.0 force field were performed with implicit inclusion of water through a distance-dependent dielectric constant and solvated counterions. Simulations of the self-complementary DNA dodecamer d(CGCGAATTCGCG) were started from a regular B-DNA structure and the x-ray single crystal B-DNA structure. Although mean convergence during the 89-ps calculation was confirmed, localized differences in backbone torsionals and base-pair helicoidals were observed. A nanosecond simulation of the nonself-complementary 14 base-pair DNA d(GGCGGAATTGGCGG) indicates that most structural parameters stabilize within the first 100-200 ps, while isolated features show low-frequency oscillations throughout the calculation. The lack of harmonic constraints on the ends of the molecules was shown not to perturb the structural dynamics of the internal oligonucleotide beyond the external 2 base pairs. Comparison of three simulations of the nonself-complementary 14 base-pair DNA d(GGCGAAATTCGCGG), identical in all respects other than the assignment of initial Maxwellian atomic velocity distributions, revealed the inherent systematic variability. The three calculations result in nearly superimposable global structures, with localized variations in torsionals and helicoidals. Our results provide a basis for performing a comparative analysis of the effect of DNA sequence on localized structure.

Base Sequence↗

Ten-nanosecond molecular dynamics simulation of the motions of the horse liver alcohol dehydrogenase.PhCH2O- complex.

Molecular dynamics simulations have been carried out for a period of 10 ns with the dimeric enzyme horse liver alcohol dehydrogenase (HLADH) present as the reactive complex HLADH.NAD+. PhCH2O-. Cross-correlation analysis of the trajectory was carried out with the latter from 500 ps to 10 ns. The resulting cross-correlation map allowed the identification of the correlated and anticorrelated motions, which involve the entire protein. Anticorrelated and correlated motions are carried into the active site-aligned residues.

Alcohol Dehydrogenase↗

NMR cross-relaxation investigated by molecular dynamics simulation: a case study of ubiquitin in solution.

A one nanosecond molecular dynamics simulation of ubiquitin in solution has been used for the calculation of the total dipolar, the radial and the reorientational correlation functions of 174 interproton NOEs and the 76 peptide chain NH vectors. The NOEs have been classified according to the structural elements they are associated with. Using multiexponential fits of the raw data spectral densities and cross-relaxation rate constants have been determined. Statistical distributions of correlation function parameters are given. On the basis of these data the assumptions underlying the standard method for distance measurement using NOE enhancements have been scrutinized. The separability of elongation and reorientation is verified for the vast majority of NOEs, but the rigid-body assumption is not supported by the simulation results. Relying on a spectral density expression that neither makes use of the product approximation nor neglects spatially restricted motion, a "bias-free" (with regard to molecular motion) distance measurement method is suggested and compared with the standard method. Errors in distances up to 24% and 50% occur due to the neglect of the dispersion of order parameters and correlation times, respectively. The preconditions for a class-specific calibration method have been investigated. Within the framework of the product approximation a method for decomposing the total cross-relaxation rate constant into contributions from radial and angular motion has been developed and applied. In several cases distance fluctuation contributes significantly to cross-relaxation with both amplitude and time behaviour.

Animals↗

A molecular dynamics simulation study of coaxial stacking in RNA.

We report on unrestrained molecular dynamics simulations of an RNA tetramer binding to a tetra-nucleotide overhang at the 5'-end of an RNA hairpin (nicked structure) and of the corresponding continuous hairpin with Na+ as counterions. The simulations lead to stable structures and in this way a structural model for the coaxially stacked RNA hairpin is generated. The stacking interface in the coaxially stacked nicked hairpin structure is characterized by a reduced twist and shift and a slightly increased propeller twist as compared to the continuous system. This leads to an increased overlap between C22 and G23 in the stacking interface of the nicked structure. In the simulations the continuous RNA hairpin has an almost straight helical axis. On the other hand, the corresponding axis for the nicked structure exhibits a marked kink of 39 degrees. The stacking interface exhibits no increased flexibility as compared to the corresponding base pair step in the continuous structure.

Base Sequence↗

Molecular dynamics simulations of calcium-free calmodulin in solution.

A 4-ns molecular dynamics simulation of calcium-free calmodulin in solution has been performed, using Ewald summation to treat electrostatic interactions. Our simulation results were mostly consistent with solution experimental studies, including NMR, fluorescence and x-ray scattering. The secondary structures within the N- and C-terminal domains were conserved in the simulation, with trajectory structures similar to the NMR-derived model structure 1CFD. However, the relative orientations of the domains, for which there are no NMR restraints, differed in details between the simulation and the 1CFD model. The most interesting information provided by the simulations is that the dynamics of calcium-free calmodulin in solution is dominated by slow rigid body reorientations of the domains. The interdomain distance fluctuated between 29 and 39 A, and interdomain orientation angle, defined as the pseudo-dihedral formed by the four calcium binding sites, varied between -2 degrees and 108 degrees. Similarly, the domain linker region also exhibited significant fluctuations, with its length varying in the 34-45 A range and its bend angle in the 10-100 degrees range. The simulations are in accord with fluorescence results suggesting that calcium-free calmodulin is more compact and more flexible than the calcium activated form. Surprisingly, quite similar solvent accessibilities of the hydrophobic patches were seen in the calcium-free trajectory described in this work and previously generated calcium-loaded calmodulin simulations. Thus, our simulations suggest a reexamination of the standard model of the structural change of calmodulin upon calcium binding, involving exposure of the hydrophobic patches to solvent.

Biophysical Phenomena↗

A molecular dynamics simulation of bacteriophage T4 lysozyme.

An analysis of a 400 ps molecular dynamics simulation of the 164 amino acid enzyme T4 lysozyme is presented. The simulation was carried out with all hydrogen atoms modeled explicitly, the inclusion of all 152 crystallographic waters and at a temperature of 300 K. Temporal analysis of the trajectory versus energy, hydrogen bond stability, r.m.s. deviation from the starting crystal structure and radius of gyration, demonstrates that the simulation was both stable and representative of the average experimental structure. Average structural properties were calculated from the enzyme trajectory and compared with the crystal structure. The mean value of the C alpha displacements of the average simulated structure from the X-ray structure was 1.1 +/- 0.1 A; differences of the backbone phi and psi angles between the average simulated structure and the crystal structure were also examined. Thermal-B factors were calculated from the simulation for heavy and backbone atoms and both were in good agreement with experimental values. Relationships between protein secondary structure elements and internal motions were studied by examining the positional fluctuations of individual helix, sheet and turn structures. The structural integrity in the secondary structure units was preserved throughout the simulation; however, the A helix did show some unusually high atomic fluctuations. The largest backbone atom r.m.s. fluctuations were found in non-secondary structure regions; similar results were observed for r.m.s. fluctuations of non-secondary structure phi and psi angles. In general, the calculated values of r.m.s. fluctuations were quite small for the secondary structure elements. In contrast, surface loops and turns exhibited much larger values, being able to sample larger regions of conformational space. The C alpha difference distance matrix and super-positioning analyses comparing the X-ray structure with the average dynamics structure suggest that a 'hinge-bending' motion occurs between the N- and C-terminal domains.

Bacteriophage T4↗

Molecular dynamics simulation of papain-E-64 (N-[N-(L-3-trans-carboxyoxirane-2-carbonyl)-L-leucyl]agmatine) complex.

To investigate the possible binding mode of E-64 (N-[N-(L-3-trans-carboxyoxirane-2-carbonyl)-L-leucyl]agmatine), a potent cysteine protease inhibitor, to papain active site, molecular dynamics simulations were applied to two complex forms: R- and S- configurational forms of E-64 C2 atom for the covalent bond formation with the papain Cys-25 SH group. The tertiary structures of the papain-E-64 complexes were built by visual interactive modelling and the energy minimization technique, and were subjected to the dynamics simulations of 10 ps. Although no significant difference was observed between the potential energies of energy-minimized R- and S-complex forms, the molecular dynamics simulations suggested that the hydrogen bonding mode of the former form is more advantageous than that of the latter one. Comparing with the hydrogen bonds observed in the papain-E-64 complex crystal, it could be concluded that the present molecular dynamics simulation reflects well the three-dimensional structure concerning the interaction of E-64 with the papain active site. The conformational characteristics of E-64 and its possible interaction mode with papain were also discussed.

Computer Simulation↗

Molecular dynamics simulation of solvated protein at high pressure.

We have completed a molecular dynamics simulation of protein (bovine pancreatic trypsin inhibitor, BPTI) in solution at high pressure (10 kbar). The structural and energetic effects of the application of high pressure to solvated protein are analyzed by comparing the results of the high-pressure simulation with a corresponding simulation at low pressure. The volume of the simulation cell containing one protein molecule plus 2943 water molecules decreases by 24.7% at high pressure. This corresponds to a compressibility for the protein solution of beta = 1.8 x 10(-2) kbar-1. The compressibility of the protein is estimated to be about one-tenth that of bulk water, while the protein hydration layer water is found to have a greater compressibility as compared to the bulk, especially for water associated with hydrophobic groups. The radius of gyration of BPTI decreases by 2% and there is a one third decrease in the protein backbone atomic fluctuations at high pressure. We have analyzed pressure effects on the hydration energy of the protein. The total hydration energy is slightly (4%) more favorable at high pressure even though the surface accessibility of the protein has decreased by a corresponding amount. Large pressure-induced changes in the structure of the hydration shell are observed. Overall, the solvation shell waters appear more ordered at high pressure; the pressure-induced ordering is greatest for nonpolar surface groups. We do not observe evidence of pressure-induced unfolding of the protein over the 100-ps duration of the high-pressure simulation. This is consistent with the results of high-pressure optical experiments on BPTI.(ABSTRACT TRUNCATED AT 250 WORDS)

Aprotinin↗

DL_POLY_2.0: a general-purpose parallel molecular dynamics simulation package.

DL_POLY_2.0 is a general-purpose parallel molecular dynamics simulation package developed at Daresbury Laboratory under the auspices of the Council for the Central Laboratory of the Research Councils. Written to support academic research, it has a wide range of applications and is designed to run on a wide range of computers: from single processor workstations to parallel supercomputers. Its structure, functionality, performance, and availability are described.

Computer Simulation↗

Phenylalanine transfer RNA: molecular dynamics simulation.

Yeast phenylalanine transfer RNA was subjected to a 12-picosecond molecular dynamics simulation. The principal features of the x-ray crystallographic analysis are reproduced, and the amplitudes of atomic displacements appear to be determined by the degree of exposure of the atoms. An analysis of the hydrogen bonds shows a correlation between the average length of a bond and the fluctuation in that length and reveals a rocking motion of bases in Watson-Crick guanine X cytosine base pairs. The in-plane motions of the bases are generally of larger amplitude than the out-of-plane motions, and there are correlations in the motions of adjacent bases.

Chemical Phenomena↗

Molecular dynamics simulation accurately predicts the experimentally-observed distributions of the (C, N, O) protein atoms around water molecules and sodium ions.

A molecular dynamics simulation of the operator binding domain of the lambda repressor protein has been carried out. The protein was embedded in explicit waters, Na(+) and CL(-) ions. The Amber 4.1 computer package and the Cornell et al. Force field were used for energy-minimization and molecular dynamics simulation. We find that the atoms distributions in the environment of waters and Na(+) ions are in excellent agreement with those derived from the analysis of water molecules in crystal structures and ion-binding proteins. We also find that, on the whole, both distributions are similar to each other.

Carbon↗

Molecular dynamics simulation of nucleic acids: successes, limitations, and promise.

In the last five years we have witnessed a significant increase in the number publications describing accurate and reliable all-atom molecular dynamics simulations of nucleic acids. This increase has been facilitated by the development of fast and efficient methods for treating the long-range electrostatic interactions, the availability of faster parallel computers, and the development of well-validated empirical molecular mechanical force fields. With these technologies, it has been demonstrated that simulation is not only capable of consistently reproducing experimental observations of sequence specific fine structure of DNA, but also can give detailed insight into prevalent problems in nucleic acid structure, ion association and specific hydration of nucleic acids, polyadenine tract bending, and the subtle environmental dependence of the A-DNA-B-DNA duplex equilibrium. Despite the advances, there are still issues with the methods that need to be resolved through rigorous controlled testing. In general, these relate to deficiencies of the underlying molecular mechanical potentials or applied methods (such as the imposition of true periodicity in Ewald simulations and the need for energy conservation), and significant limits in effective conformational sampling. In this perspective, we provide an overview of our experiences, provide some cautionary notes, and provide recommendations for further study in molecular dynamics simulation of nucleic acids.

Artifacts↗

Novel methods for molecular dynamics simulations.

In the past year, significant progress was made in the development of molecular dynamics methods for the liquid phase and for biological macromolecules. Specifically, faster algorithms to pursue molecular dynamics simulations were introduced and advances were made in the design of new optimization algorithms guided by molecular dynamics protocols. A technique to calculate the quantum spectra of protein vibrations was introduced.

Algorithms↗