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PubMed1996

129Xe NMR as a probe of the dynamics of gas confined in porous Vycor.

We use 129Xe NMR to probe the diffusion of xenon gas in the porous network of Vycor glass, by monitoring its relaxation properties. When the mean free path of the diffusing gas is larger than the pore size (Knudsen conditions), both 129Xe chemical shifts and relaxation rates are sensitive to the confinement of xenon gas within a porous solid. The influence of both temperature and xenon pressure are recorded on the 129Xe chemical shifts and relaxation rates, in order to characterise the xenon/Vycor interactions. Monte Carlo (MC) and Molecular Dynamics (MD) simulations, using a numerical model of Vycor, are required to interpret the relaxation properties of xenon. MD simulations clearly establish the occurrence of confined diffusion of xenon within Vycor, related to the geometry of this porous media. This work shows the potentiality of NMR relaxation to obtain dynamical information on the diffusion within porous media.

Diffusion↗
PubMed2006

Conserved patterns in backbone torsional changes allow for single base flipping from duplex DNA with minimal distortion of the double helix.

Base flipping is a structural mechanism common to many DNA processing and repair enzymes. Changes in the local backbone torsions that occur during base flipping and the effect of environment on their behavior are of particular interest in understanding different base flipping mechanisms. In the present study, structures sampled during umbrella sampling molecular dynamics (MD) simulations of base flipping in aqueous and protein-bound environments, carried out with two different MD simulation strategies, are analyzed to find the most significant phosphodiester backbone distortions in the vicinity of the flipping base. Torsional sampling on the 5' side of the flipping base during flipping through the major groove shows similarities to the torsional sampling on the 3' side during flipping through the minor groove and vice versa. In differing environments, this behavior varies only marginally. These compensating torsional changes in the DNA backbone on 5' and 3' sides of the flipping base limit overall distortion of the DNA double helix during single base flipping. Rotameric intermediate states observed during base flipping are identified and postulated to be metastable states implicated in both large-scale structural changes and functional effects of chemical modifications in DNA.

DNA↗
PubMed2000

Water penetration and escape in proteins.

The kinetics of water penetration and escape in cytochrome c (cyt c) is studied by molecular dynamics (MD) simulations at various temperatures. Water molecules that penetrate the protein interior during the course of an MD simulation are identified by monitoring the number of water molecules in the first coordination shell (within 3.5 A) of each water molecule in the system. Water molecules in the interior of cyt c have 0-3 water molecules in their first hydration shell and this coordination number persists for extended periods of time. At T = 300 K we identify over 200 events in which water molecules penetrate the protein and reside inside for at least 5 picoseconds (ps) within a 1.5 nanoseconds (ns) time period. Twenty-seven (27) water molecules reside for at least 300 ps, 17 water molecules reside in the protein interior for times longer than 500 ps, and two interior water molecules do not escape; at T = 360 K one water molecule does not escape; at 430 K all water molecules exchange. Some of the internal water molecules show mean square displacements (MSD) of 1 A2 characteristic of structural waters. Others show MSD as large as 12 A2, suggesting that some of these water molecules occupy transient cavities and diffuse extensively within the protein. Motions of protein-bound water molecules are rotationally hindred, but show large librations. Analysis of the kinetics of water escape in terms of a survival time correlation function shows a power law behavior in time that can be interpreted in terms of a broad distribution of energy barriers, relative to kappa BT, for water exchange. At T = 300 K estimates of the roughness of the activation energy distribution is 4-10 kJ/mol (2-4 kappa BT). Activation enthalpies for water escape are 6-23 kJ/mol. The difference in activation entropies between fast exchanging (0.01 ns) and slow exchanging (0.1-1 ns) water molecules is -27 J/K/mol. Dunitz (Science 1997;264:670.) has estimated the maximum entropy loss of a water molecule due to binding to be 28 J/K/mol. Therefore, our results suggest that the entropy of interior water molecules is similar to entropy of bulk water.

Animals↗
PubMed2000

Molecular dynamics simulation of hen egg white lysozyme: a test of the GROMOS96 force field against nuclear magnetic resonance data.

Biomolecular force fields for use in molecular dynamics (MD) simulations of proteins, DNA, or membranes are generally parametrized against ab initio quantum-chemical and experimental data for small molecules. The application of a force field in a simulation of a biomolecular system, such as a protein in solution, may then serve as a test of the quality and transferability of the force field. Here, we compare various properties obtained from two MD simulations of the protein hen egg white lysozyme (HEWL) in aqueous solution using the latest version, GROMOS96, of the GROMOS force field and an earlier version, GROMOS87+, with data derived from nuclear magnetic resonance (NMR) experiments: NOE atom-atom distance bounds, (3)J(HNalpha)-coupling constants, and backbone and side-chain order parameters. The convergence of these quantities over a 2-ns period is considered, and converged values are compared to experimental ones. The GROMOS96 simulation shows better agreement with the NMR data and also with the X-ray crystal structure of HEWL than the GROMOS87+ simulation, which was based on an earlier version of the GROMOS force field.

Animals↗
PubMed2005

Molecular dynamics integration and molecular vibrational theory. II. Simulation of nonlinear molecules.

A series of molecular dynamics (MD) simulations of nonlinear molecules has been performed to test the efficiency of newly introduced semianalytical second-order symplectic time-reversible MD integrators that combine MD and the standard theory of molecular vibrations. The simulation results indicate that for the same level of accuracy, the new algorithms allow significantly longer integration time steps than the standard second-order symplectic leap-frog Verlet method. Since the computation cost per integration step using new MD integrators with longer time steps is approximately the same as for the standard method, a significant speed-up in MD simulation is achieved.

Journal Article↗
PubMed2006

Molecular dynamics simulations of class C beta-lactamase from Citrobacter freundii: insights into the base catalyst for acylation.

Herein, we present results from molecular dynamics (MD) simulations of the class C beta-lactamase from Citrobacter freundii and its Michaelis complex with aztreonam. Four different configurations of the active site were modeled in aqueous solution, and their relative stability was estimated by means of quantum mechanical energy calculations. For the free enzyme, the energetically most stable configurations present a neutral Lys67 residue or an anionic Tyr150 side chain. Our calculations predict that these two configurations are quite close in terms of free energy, the anionic Tyr150 state being favored by approximately 1 kcal/mol. In contrast, for the noncovalent complex formed between the C. freundii enzyme and aztreonam, the energetic analyses predict that the configuration with the neutral Lys67 residue is much more stable than the anionic Tyr150 one (approximately 20 kcal/mol). Moreover, the MD simulations reveal that the neutral Lys67 state results in a proper enzyme-aztreonam orientation for nucleophilic attack and in a very stable contact between the nucleophilic hydroxyl group of Ser64 and the neutral amino side chain of Lys67. Thus, both the computed free energies and the structural analyses support the assignation of Lys67 as the base catalyst for the acylation step in the native form of the C. freundii enzyme.

Acylation↗
PubMed2003

Development of hardware accelerator for molecular dynamics simulations: a computation board that calculates nonbonded interactions in cooperation with fast multipole method.

Evaluation of long-range Coulombic interactions still represents a bottleneck in the molecular dynamics (MD) simulations of biological macromolecules. Despite the advent of sophisticated fast algorithms, such as the fast multipole method (FMM), accurate simulations still demand a great amount of computation time due to the accuracy/speed trade-off inherently involved in these algorithms. Unless higher order multipole expansions, which are extremely expensive to evaluate, are employed, a large amount of the execution time is still spent in directly calculating particle-particle interactions within the nearby region of each particle. To reduce this execution time for pair interactions, we developed a computation unit (board), called MD-Engine II, that calculates nonbonded pairwise interactions using a specially designed hardware. Four custom arithmetic-processors and a processor for memory manipulation ("particle processor") are mounted on the computation board. The arithmetic processors are responsible for calculation of the pair interactions. The particle processor plays a central role in realizing efficient cooperation with the FMM. The results of a series of 50-ps MD simulations of a protein-water system (50,764 atoms) indicated that a more stringent setting of accuracy in FMM computation, compared with those previously reported, was required for accurate simulations over long time periods. Such a level of accuracy was efficiently achieved using the cooperative calculations of the FMM and MD-Engine II. On an Alpha 21264 PC, the FMM computation at a moderate but tolerable level of accuracy was accelerated by a factor of 16.0 using three boards. At a high level of accuracy, the cooperative calculation achieved a 22.7-fold acceleration over the corresponding conventional FMM calculation. In the cooperative calculations of the FMM and MD-Engine II, it was possible to achieve more accurate computation at a comparable execution time by incorporating larger nearby regions.

Algorithms↗
PubMed2000

Molecular dynamics simulations of the gramicidin A-dimyristoylphosphatidylcholine system with an ion in the channel pore region.

To investigate the process of ion permeation in an ion channel systematically, we performed molecular dynamics (MD) simulations on a gramicidin A (GA)-phospholipid model system with an ion in the channel pore region. Each of the three types of ions (Ca2+, Na+ Cl-) was placed at five different positions along the channel axis by replacing a water molecule. MD simulations were performed on each system at constant pressure and constant temperature. The MD trajectories showed that the Ca2+ and Na+ ions could stably fluctuate in the pore region, but the Cl- ion was pushed out because of the unfavorable interaction with the channel. This result is consistent with experimental data. It was also found that the conformation of the GA channel underwent a significant change due to the presence of the ion, and the two ends of the GA monomer were more flexible than its middle region. In particular, the dramatic change of local pore radius near the ion indicated this kind of deformation. The strong interaction between the ion and carbonyl oxygen atoms of GA was the major contributor to this change. Furthermore, it was found that the ethanolamine group of the GA molecule was the most flexible group in the GA channel and often observed to block the entrance of GA. These results imply that the deformation of channel structure plays a very important factor in ion permeation, and the ethanolamine group may play a key role in regulating ion entry into the pore. In conclusion, our results indicate that the ion has a dominant influence on the structure of the GA channel and that the flexibility of the ion channel is a crucial factor in the ion permeation process.

Calcium↗
PubMed2002

Structure of Met-enkephalin in explicit aqueous solution using replica exchange molecular dynamics.

Replica exchange molecular dynamics (MD) simulations of Met-enkephalin in explicit solvent reveal helical and nonhelical structures. Four predominant structures of Met-enkephalin are sampled with comparable probabilities (two helical and two nonhelical). The energy barriers between these configurations are low, suggesting that Met-enkephalin switches easily between configurations. This is consistent with the requirement that Met-enkephalin be sufficiently flexible to bind to several different receptors. Replica exchange simulations of 32 ns are shown to sample approximately five times more configurational space than constant temperature MD simulations of the same duration. The energy landscape for the replica exchange simulation is presented. A detailed study of replica trajectories demonstrates that the significant increases in temperature provided by the replica exchange technique enable transitions from nonhelical to helical structures that would otherwise be prevented by kinetic trapping. Met-enkephalin (Type Entrez Proteins; Value A61445; Service Entrez Proteins).

Algorithms↗
PubMed2005

Adsorption and diffusion of benzene in the nanoporous catalysts FAU, ZSM-5 and MCM-22: a molecular dynamics study.

Molecular dynamics (MD) simulations of benzene in siliceous zeolites (FAU, ZSM-5, and MCM-22) were performed at loadings of 1, 2, 4, 8, and 16 molecules per supercell. The potential energy functions for these simulations were constructed in a semi-empirical way from existing potentials and experimental energetic data. The MD simulations were employed to analyze the dynamic properties of the benzene-zeolite systems. The adsorption energies of benzene/siliceous zeolite complexes increase with increasing loading number, due to the intermolecular attraction between benzene molecules. The self-diffusion coefficient of benzene in siliceous zeolites decreases with increasing loading due to the steric hindrance between the sorbates passing each other. From the zeolite-benzene radial distribution functions it was found that the benzene molecules are relatively far from each other, about 5.2A for siliceous FAU, 5.2A for siliceous ZSM-5, and 4.8A for siliceous MCM-22. In the case of FAU, the benzene molecules prefer to be adsorbed parallel to the surface of the sodalite cage above the six-membered-ring. In ZSM-5, we found a T-structure of the benzene molecules at loadings 2, 4, and 8 molecules per supercell. At loadings of 16 molecules per supercell, the molecules are lined up along the straight channel and their movement is highly correlated. For MCM-22 we found adjacent benzene molecules at a loading of 4 molecules with an orientation similar to the stacked conformation of benzene dimer in the gas phase.

Adsorption↗
PubMed2005

Electrostatic recognition and induced fit in the kappa-PVIIA toxin binding to Shaker potassium channel.

Brownian dynamics (BD) and molecular dynamics (MD) simulations and electrostatic calculations were performed to study the binding process of kappa-PVIIA to the Shaker potassium channel and the structure of the resulting complex. BD simulations, guided by electrostatic interactions, led to an initial alignment between the toxin and the channel protein. MD simulations were then carried out to allow for rearrangements from this initial structure. After approximately 4 ns, a critical "induced fit" process was observed to last for approximately 2 ns. In this process, the interface was reorganized, and side chains were moved so that favorable atomic contacts were formed or strengthened, while unfavorable contacts were eliminated. The final complex structure was stabilized through electrostatic interactions with the positively charged side chain of Lys7 of kappa-PVIIA deeply inserted into the channel pore and other hydrogen bonds and by hydrophobic interactions involving Phe9 and Phe23 of the toxin. The validity of the predicted structure for the complex was assessed by calculating the effects of mutating charged and polar residues of both the toxin and the channel protein, with the calculated effects correlating reasonably well with experimental data. The present study suggests a general binding mechanism, whereby proteins are pre-aligned in their diffusional encounter by long-range electrostatic attraction, and nanosecond-scale rearrangements within the initial complex then lead to a specifically bound complex.

Amino Acid Sequence↗
PubMed2003

Molecular dynamics simulations of small peptides: can one derive conformational preferences from ROESY spectra?

Folding properties of beta-peptides were investigated by means of NMR experiments and MD simulations of beta-dipeptides, which serve as small test systems to study the influence of stereocenters and side chains on hydrogen-bond and consequently on secondary-structure formation. Two stereoisomers, SR and SS, of a Val-Phe dipeptide, and of the corresponding Ala-Ala dipeptide, and a Gly-Gly dipeptide were simulated in methanol for 40 ns. In agreement with experiment, the isomers of the Val-Phe dipeptide adopt quite different conformers at 298 K, the differences being reduced at 340 K. Interestingly, the SR isomer shows enhanced hydrogen bonding at the higher temperature. The adopted conformations are primarily determined by the R or S side chain substitution, and less by the type of side chain. Back-calculation of (1)H ROESY spectra and (3)J coupling constants from the MD simulations and comparison with the experimental data for the Val-Phe dipeptides shows good agreement between simulation and experiment, and reveals possible problems and pitfalls, when deriving structural properties of a small and extremely flexible molecule from NMR data only. Inclusion of all aspects of internal dynamics is essential to the correct prediction of the NMR spectra of these small molecules. Cross comparison of calculated with experimental spectra for both isomers shows that only a few out of many ROESY peaks reflect the sizeable conformational differences between the isomers at 298 K.

Dipeptides↗
PubMed2006

Molecular dynamics simulations of PAMAM dendrimer-induced pore formation in DPPC bilayers with a coarse-grained model.

We have performed 0.5-micros-long molecular dynamics (MD) simulations of 0%, 50%, and 100% acetylated third- (G3) and fifth-generation (G5) polyamidoamine (PAMAM) dendrimers in dipalmitoylphosphatidylcholine (DPPC) bilayers with explicit water using the coarse-grained (CG) model developed by Marrink et al. (J.Phys. Chem. B 2004, 108, 750-760), but with long-range electrostatic interactions included. Radii of gyration of the CG G5 dendrimers are 1.99-2.32 nm, close to those measured in the experiments by Prosa et al. (J. Polym. Sci. 1997, 35, 2913-2924) and atomistic simulations by Lee et al. (J. Phys. Chem. B 2006, 110, 4014-4019). Starting with the dendrimer initially positioned near the bilayer, we find that positively charged un-acetylated G3 and 50%-acetylated and un-acetylated G5 dendrimers insert themselves into the bilayer, and only un-acetylated G5 dendrimer induces hole formation at 310 K, but not at 277 K, which agrees qualitatively with experimental observations of Hong et al. (Bioconj. Chem. 2004, 15, 774-782) and Mecke et al. (Langmuir 2005, 21, 10348-10354). At higher salt concentration (approximately 500 mM NaCl), un-acetylated G5 dendrimer does not insert into the bilayer. The results suggest that with inclusion of long-range electrostatic interactions into coarse-grained models, realistic MD simulation of membrane-disrupting effects of nanoparticles at the microsecond time scale is now possible.

1,2-Dipalmitoylphosphatidylcholine↗
PubMed2006

Multimillion atom simulations of dynamics of oxidation of an aluminum nanoparticle and nanoindentation on ceramics.

We have developed a first-principles-based hierarchical simulation framework, which seamlessly integrates (1) a quantum mechanical description based on the density functional theory (DFT), (2) multilevel molecular dynamics (MD) simulations based on a reactive force field (ReaxFF) that describes chemical reactions and polarization, a nonreactive force field that employs dynamic atomic charges, and an effective force field (EFF), and (3) an atomistically informed continuum model to reach macroscopic length scales. For scalable hierarchical simulations, we have developed parallel linear-scaling algorithms for (1) DFT calculation based on a divide-and-conquer algorithm on adaptive multigrids, (2) chemically reactive MD based on a fast ReaxFF (F-ReaxFF) algorithm, and (3) EFF-MD based on a space-time multiresolution MD (MRMD) algorithm. On 1920 Intel Itanium2 processors, we have demonstrated 1.4 million atom (0.12 trillion grid points) DFT, 0.56 billion atom F-ReaxFF, and 18.9 billion atom MRMD calculations, with parallel efficiency as high as 0.953. Through the use of these algorithms, multimillion atom MD simulations have been performed to study the oxidation of an aluminum nanoparticle. Structural and dynamic correlations in the oxide region are calculated as well as the evolution of charges, surface oxide thickness, diffusivities of atoms, and local stresses. In the microcanonical ensemble, the oxidizing reaction becomes explosive in both molecular and atomic oxygen environments, due to the enormous energy release associated with Al-O bonding. In the canonical ensemble, an amorphous oxide layer of a thickness of approximately 40 angstroms is formed after 466 ps, in good agreement with experiments. Simulations have been performed to study nanoindentation on crystalline, amorphous, and nanocrystalline silicon nitride and silicon carbide. Simulation on nanocrystalline silicon carbide reveals unusual deformation mechanisms in brittle nanophase materials, due to coexistence of brittle grains and soft amorphous-like grain boundary phases. Simulations predict a crossover from intergranular continuous deformation to intragrain discrete deformation at a critical indentation depth.

Journal Article↗
PubMed2005

The effect of the counterion on water mobility in reverse micelles studied by molecular dynamics simulations.

In this study, mobility and structure of water molecules in Aerosol OT (bis(2-ethylhexyl) sulfosuccinate, AOT) reverse micelles with water content w0 = 5 and Na+, K+, Cs+ counterions have been explored with molecular dynamics (MD) simulations. Using the Faeder/Ladanyi model (J. Phys. Chem. B, 2000, 104, 1033) of the reverse micelle interior, MD simulations were performed to calculate the self-intermediate scattering function, FS(Q,t), for water hydrogen atoms that could be measured in a quasielastic neutron scattering experiment. Separate intermediate scattering functions FRS(Q,t) and FCMS(Q,t) were determined for rotational and translational motion. We find that the decay of FCMS(Q,t) is nonexponential and our analysis of the MD data indicates that this behavior arises from decreased water mobility for molecules close to the interface and from confinement-induced restrictions on the range of translational displacements. Rotational relaxation also exhibits nonexponential decay, which is consistent with relatively rapid restricted rotation and slower rotational relaxation over the full angular range. Rotational relaxation is anisotropic, with the O-H bond short-time rotational mobility considerably higher than that of the molecular dipole. This behavior is related to the decreased density of water-water hydrogen bonds in the vicinity of the interface compared to core or bulk water. We find that the interfacial mobility of water molecules is quite different for the three counterion types, but that the core mobility exhibits weak counterion dependence. Differences in interfacial mobility are strongly correlated with structural features, especially ion-water coordination, and the extent of disruption by the counterions of the water hydrogen bond network.

Journal Article↗
PubMed2005

Molecular insight into pseudolysin inhibition using the MM-PBSA and LIE methods.

Pseudolysin, the extracellullar elastase of Pseudomonas aeruginosa (EC: 3.4.24.26) plays an important role in the pathogenesis of P. aeruginosa infections. In the present study, molecular dynamics simulations and theoretical affinity predictions were used to gain molecular insight into pseudolysin inhibition. Four low molecular weight inhibitors were docked at their putative binding sites and molecular dynamics (MD) simulations were performed for 5.0 ns, and the free energy of binding was calculated by the linear interaction energy method. The number and the contact surface area of stabilizing hydrophobic, aromatic, and hydrogen bonding interactions appears to reflect the affinity differences between the inhibitors. The proteinaceous inhibitor, Streptomyces metalloproteinase inhibitor (SMPI) was docked in three different binding positions and MD simulations were performed for 3.0 ns. The MD trajectories were used for molecular mechanics-Poisson-Boltzmann surface area analysis of the three binding positions. Computational alanine scanning of the average pseudolysin-SMPI complexes after MD revealed residues at the pseudolysin-SMPI interface giving the main contribution to the free energy of binding. The calculations indicated that SMPI interacts with pseudolysin via the rigid active site loop, but that also contact sites outside this loop contribute significantly to the free energy of association.

Amino Acid Sequence↗
PubMed2001

Artificial cytochrome b: computer modeling and evaluation of redox potentials.

We generated atomic coordinates of an artificial protein that was recently synthesized to model the central part of the native cytochrome b (Cb) subunit consisting of a four-helix bundle with two hemes. Since no X-ray structure is available, the structural elements of the artificial Cb were assembled from scratch using all known chemical and structural information available and avoiding strain as much as possible. Molecular dynamics (MD) simulations applied to this model protein exhibited root-mean-square deviations as small as those obtained from MD simulations starting with the crystal structure of the native Cb subunit. This demonstrates that the modeled structure of the artificial Cb is relatively rigid and strain-free. The model structure of the artificial Cb was used to determine the redox potentials of the two hemes by calculating the electrostatic energies from the solution of the linearized Poisson-Boltzmann equation (LPBE). The calculated redox potentials agree within 20 meV with the experimentally measured values. The dependence of the redox potentials of the hemes on the protein environment was analyzed. Accordingly, the total shift in the redox potentials is mainly due to the low dielectric medium of the protein, the protein backbone charges, and the salt bridges formed between the arginines and the propionic acid groups of the hemes. The difference in the shift of the redox potentials is due to the interactions with the hydrophilic side chains and the salt bridges formed with the propionic acids of the hemes. For comparison and to test the computational procedure, the redox potentials of the two hemes in the native Cb from the cytochrome bc(1) (Cbc(1)) complex were also calculated. Also in this case the computed redox potentials agree well with experiments.

Amino Acid Sequence↗
PubMed2003

MM-PBSA free energy analysis of endo-1,4-xylanase II (XynII)-substrate complexes: binding of the reactive sugar in a skew boat and chair conformation.

The binding of xylotetraose in different conformations to the active site of endo-1,4-beta-xylanase II (XynII) from Trichoderma reesei was studied using molecular dynamics (MD) simulations and free energy analyses employing the MM-PBSA (Molecular Mechanics-Poisson-Boltzmann Surface Area) method. MD simulations of 1 ns were done for the substrate xylotetraose having the reactive sugar, which is bound in the -1 subsite of XynII in the 4C1 (chair) and 2So (skew boat) ground state conformations, and for the transition state of the XynII catalysed hydrolysis of the beta-glycosidic linkage. According to the simulations and free energy analysis, XynII binds the substrate with the -1 sugar in the 2So conformation 59.8 kJ mol(-1) tighter than the substrate with the sugar in the 4C1 conformation. The reactive 2So conformation resembles closely the reaction transition state and has the breaking glycosidic bond in a pseudo-axial orientation ready for facile bond cleavage. The transition state was calculated to be bound 77.1 kJ mol(-1) tighter than the 4C1 ground state conformation. The molecular mechanical interaction energy between the enzyme and the reactive pyranoside unit at the -1 subsite was 75.7 kJ mol(-1) more favorable for the binding of the 2So conformation than the 2C1 conformation, explaining the clearly tighter binding of the reactive structure The results of this study indicate that in the Michaelis complex XynII, a member of the family 11 xylanase, the substrate is bound in a skew boat conformation and in the catalytic reaction, the -1 sugar proceeds from the 4C1 conformation through 2So to the transition state with the -1 sugar in the 2,5B conformation.

Binding Sites↗