Experimental and numerical exploration of intrinsic localized modes in an atomic lattice

This review focuses attention on the experimental studies of intrinsic localized modes (ILMs) produced in driven atomic lattices. Production methods involve the application of modulational instability under carefully controlled conditions. One experimental approach is to drive the atomic lattice far from equilibrium to produce ILMs, the second is to apply a driver of only modest strength but nearby in frequency to a plane wave mode so that a slow transformation from large amplitude standing waves to ILMs takes place. Since, in either case, the number of ILMs produced is small, the experimental observation tool appropriate for this task is four-wave mixing. This nonlinear detection technique makes use of the nonlinearity associated with an ILM to enhance its signal over that produced by the more numerous, but linear, spin waves. The final topic deals with numerical simulations of a nonlinear nanoscale atomic lattice where the new feature is running ILMs.     

Coarse-grained molecular dynamics simulations of membrane proteins and peptides

Molecular dynamics (MD) simulations provide a valuable approach to the dynamics, structure, and stability of membrane-protein systems. Coarse-grained (CG) models, in which small groups of atoms are treated as single particles, enable extended (>100 ns) timescales to be addressed. In this study, we explore how CG-MD methods that have been developed for detergents and lipids may be extended to membrane proteins. In particular, CG-MD simulations of a number of membrane peptides and proteins are used to characterize their interactions with lipid bilayers. CG-MD is used to simulate the insertion of synthetic model membrane peptides (WALPs and LS3) into a lipid (PC) bilayer. WALP peptides insert in a transmembrane orientation, whilst the LS3 peptide adopts an interfacial location, both in agreement with experimental biophysical data. This approach is extended to a transmembrane fragment of the Vpu protein from HIV-1, and to the coat protein from fd phage. Again, simulated protein/membrane interactions are in good agreement with solid state NMR data for these proteins. CG-MD has also been applied to an M3-M4 fragment from the CFTR protein. Simulations of CFTR M3-M4 in a detergent micelle reveal formation of an alpha-helical hairpin, consistent with a variety of biophysical data. In an I231D mutant, the M3-M4 hairpin is additionally stabilized via an inter-helix Q207/D231 interaction. Finally, CG-MD simulations are extended to a more complex membrane protein, the bacterial sugar transporter LacY. Comparison of a 200 ns CG-MD simulation of LacY in a DPPC bilayer with a 50 ns atomistic simulation of the same protein in a DMPC bilayer shows that the two methods yield comparable predictions of lipid-protein interactions. Taken together, these results demonstrate the utility of CG-MD simulations for studies of membrane/protein interactions.     

Integrating experimental data with molecular simulations to investigate RNA structural dynamics

Conformational dynamics is crucial for ribonucleic acid (RNA) function. Techniques such as nuclear magnetic resonance, cryo-electron microscopy, small- and wide-angle X-ray scattering, chemical probing, single-molecule Förster resonance energy transfer, or even thermal or mechanical denaturation experiments probe RNA dynamics at different time and space resolutions. Their combination with accurate atomistic molecular dynamics (MD) simulations paves the way for quantitative and detailed studies of RNA dynamics. First, experiments provide a quantitative validation tool for MD simulations. Second, available data can be used to refine simulated structural ensembles to match experiments. Finally, comparison with experiments allows for improving MD force fields that are transferable to new systems for which data is not available. Here we review the recent literature and provide our perspective on this field.     

Characterization of molecular structures and properties of polyurethanes using molecular dynamics simulations

Thermotropic polyurethanes with mesogenic groups in side chains were prepared from two diisocyanates and four diols with stoichiometric ratios of reactive isocyanate (NCO) and hydroxy (OH) groups. Their thermal behavior was determined by differential scanning calorimetry. The effect of structure modifications of the diisocyanates and diols, in particular changes in the mesogen, were investigated. Introduction of mesogenic segments into the polymers suppresses the ordering. Stiff end substituents (phenyl and alkoxy groups) of the mesogens stabilize the mesophases to such an extent that the negative influence of long polymer chains is compensated and the liquid-crystalline properties are recovered. All-atom molecular dynamics simulations in the Cerius² modeling environment were carried out to characterize the structures of the polymers. Analysis of the dynamic trajectories at 20, 100, 120 and 170 °C revealed changes in conformation of macromolecules, which correlate with DSC measurements.Figure Example of structure relaxation of D4/TDI molecule at indicated simulation times (temperature 20 °C): a complete structure; b backbone structure; c top view of molecule     

Detailed molecular dynamics simulations of model biological membranes containing cholesterol

Detailed molecular dynamics simulations performed to study the nature of lipid raft domains that appear in model membranes are reviewed in this paper. The described simulations were performed on hydrated bilayers containing binary mixtures of cholesterol with phospholipids and also on ternary mixtures containing cholesterol, a phospholipid with a high main transition temperature T_m, and a phospholipid with a low transition temperature T_m. These simulations provide qualitative and semi-quantitative information about cholesterol-lipid interactions and also a testing ground for major assumptions made to explain the nature of lipid rafts in model membranes.     

Density functional and molecular dynamics simulations of local anesthetics in 0.9% NaCl solution

We have made density functional calculations and molecular dynamics (MD) simulations to investigate the structure and pharmacological action of local anesthetics: tetracaine, procaine and lidocaine. The MD simulations were made in a NPT ensemble, in a 0.9% NaCl solution, on both unprotonated and protonated forms of the molecules. The radial distribution function was used to study solvent effects in different regions of the molecules. Although all three anesthetics have different degrees of hydrophobicity, the amino-terminals were the mostly affected by the protonation yielding hydrophilic regions. The charged amino-esters present hydrophilicity on the ester as well as amine terminals. Cl^?  from the solvent solution forms hydrogen bonds via protonated hydrogen attached to nitrogen, yielding neutral molecules, which could, in principle, penetrate the membranes and loose Cl^?  to act in the protonated form. Density functional theory calculations indicated a change in the electrostatic potential and showed that Cl^?  weakly binds to the amine hydrogen, what suggests it is a favorable interaction and supports the existence of the hydrochloric forms of these local anesthetics.     

Molecular modeling studies of atorvastatin analogues as HMGR inhibitors using 3D-QSAR,molecular docking and molecular dynamics simulations

3-Hydroxy-3-methylglutaryl coenzyme-A reductase (HMGR) is generally regarded as targets for the treatment of hypercholesterolemia. HMGR inhibitors (more commonly known as statins) are discovered as plasma cholesterol lowering molecules. In this work, 120 atorvastatin analogues were studied using a combination of molecular modeling techniques including three-dimensional quantitative structure–activity relationship (3D-QSAR), molecular docking and molecular dynamics (MD) simulation. The results show that the best CoMFA (comparative molecular field analysis) model has q² = 0.558 and r² = 0.977, and the best CoMSIA (comparative molecular similarity indices analysis) model has q² = 0.582 and r² = 0.919. Molecular docking and MD simulation explored the binding relationship of the ligand and the receptor protein. The calculation results indicated that the hydrophobic and electrostatic fields play key roles in QSAR model. After MD simulation, we found four vital residues (Lys735, Arg590, Asp690 and Asn686) and three hydrophobic regions in HMGR binding site. The calculation results show that atorvastatin analogues obtained by introduction of F atoms or gem-difluoro groups could obviously improve the inhibitory activity. The new HMGR inhibitor analogues design in this Letter had been submitted which is being currently synthesized by our laboratories.     

Towards a quantitative rationalization of multicomponent glass properties by means of molecular dynamics simulations

This review summarizes the achievements obtained by making use of molecular dynamics (MD) simulations in the elucidation of the structure of multicomponent glasses exerting bioactive properties. Emphasis on critical aspects of MD simulations for oxide glasses treatment is given. The potentiality of the quantitative structure–property relationships (QSPR) analysis as a tool for interpretative and predictive purposes is highlighted.     

Regulatory phosphorylation of cyclin-dependent kinase 2: insights from molecular dynamics simulations

The structures of fully active cyclin-dependent kinase-2 (CDK2) complexed with ATP and peptide substrate, CDK2 after the catalytic reaction, and CDK2 inhibited by phosphorylation at Thr14/Tyr15 were studied using molecular dynamics (MD) simulations. The structural details of the CDK2 catalytic site and CDK2 substrate binding box were described. Comparison of MD simulations of inhibited complexes of CDK2 was used to help understand the role of inhibitory phosphorylation at Thr14/Tyr15. Phosphorylation at Thr14/Tyr15 causes ATP misalignment for the phosphate-group transfer, changes in the Mg²⁺ coordination sphere, and changes in the H-bond network formed by CDK2 catalytic residues (Asp127, Lys129, Asn132). The inhibitory phosphorylation causes the G-loop to shift from the ATP binding site, which leads to opening of the CDK2 substrate binding box, thus probably weakening substrate binding. All these effects explain the decrease in kinase activity observed after inhibitory phosphorylation at Thr14/Tyr15 in the G-loop. Interaction of the peptide substrate, and the phosphorylated peptide product, with CDK2 was also studied and compared. These results broaden hypotheses drawn from our previous MD studies as to why a basic residue (Arg/Lys) is preferred at the P₊₂ substrate position. Figure View of the substrate binding site of the fully active cyclin-dependent kinase-2 (CDK2) (pT160-CDK2/cyclin A/ATP). The pThr160 activation site is located in the T-loop (yellow secondary structure). The G-loop, which partly forms the ATP binding site, is shown in blue. The Thr14 and Tyr15 inhibitory phosphorylation sites located in the G-loop are shown in licorice representation     

Effects of deformability and thermal motion of lipid membrane on electroporation: by molecular dynamics simulations

Effects of mechanical properties and thermal motion of POPE lipid membrane on electroporation were studied by molecular dynamics simulations. Among simulations in which specific atoms of lipids were artificially constrained at their equilibrium positions using a spring with force constant of 2.0 kcal/(mol Ų) in the external electric field of 1.4 kcal/(mol Å e), only constraint on lateral motions of lipid tails prohibited electroporation while non-tail parts had little effects. When force constant decreased to 0.2 kcal/(mol Ų) in the position constraints on lipid tails in the external electric field of 2.0 kcal/(mol Å e), water molecules began to enter the membrane. Position constraints of lipid tails allow water to penetrate from both sides of membrane. Thermal motion of lipids can induce initial defects in the hydrophobic core of membrane, which are favorable nucleation sites for electroporation. Simulations at different temperatures revealed that as the temperature increases, the time taken to the initial pore formation will decrease.     

OmpA: Gating and dynamics via molecular dynamics simulations

Outer membrane proteins (OMPs) of Gram-negative bacteria have a variety of functions including passive transport, active transport, catalysis, pathogenesis and signal transduction. Whilst the structures of ∼ 25 OMPs are currently known, there is relatively little known about their dynamics in different environments. The outer membrane protein, OmpA from Escherichia coli has been studied extensively in different environments both experimentally and computationally, and thus provides an ideal test case for the study of the dynamics and environmental interactions of outer membrane proteins. We review molecular dynamics simulations of OmpA and its homologues in a variety of different environments and discuss possible mechanisms of pore gating. The transmembrane domain of E. coli OmpA shows subtle differences in dynamics and interactions between a detergent micelle and a lipid bilayer environment. Simulations of the crystallographic unit cell reveal a micelle-like network of detergent molecules interacting with the protein monomers. Simulation and modelling studies emphasise the role of an electrostatic-switch mechanism in the pore-gating mechanism. Simulation studies have been extended to comparative models of OmpA homologues from Pseudomonas aeruginosa (OprF) and Pasteurella multocida (PmOmpA), the latter model including the periplasmic C-terminal domain.     

Binding and insertion of alpha-helical anti-microbial peptides in POPC bilayers studied by molecular dynamics simulations

We have performed molecular dynamics simulations of the interactions of two alpha-helical anti-microbial peptides, magainin2 and its synthetic analog of MSI-78, with palmitoyl-oleoyl-phosphatidylcholine (POPC) lipid bilayers. We used various initial positions and orientations of the peptide with respect to the lipid bilayer, including a surface-bound state parallel to the interface, a trans-membrane state, and a partially inserted state. Our 20 ns long simulations show that both magainin2 and MSI-78 are most stable in the lipid environment, with the peptide destabilized to different extents in both aqueous and lipid/water interfacial environments. We found that there are strong specific interactions between the lysine residues of the peptides and the lipid head-group regions. MSI-78, owing to its large number of lysines, shows better binding characteristics and overall stability when compared to magainin2. We also find that both peptides destabilize the bilayer environment, as observed by the increase in lipid tail disorder and the induction of local curvature on the lipid head-groups by the peptides. From all the simulations, we conclude that the hydrogen bonding interactions between the lysines of the peptides and the oxygens of the polar lipid head-groups are the strongest and determine the overall peptide binding characteristics to the lipids.     

Active site modeling in copper azurin molecular dynamics simulations

Active site modeling in molecular dynamics simulations is investigated for the reduced state of copper azurin. Five simulation runs (5 ns each) were performed at room temperature to study the consequences of a mixed electrostatic/constrained modeling for the coordination between the metal and the polypeptide chain, using for the ligand residues a set of charges that is modified with respect to the apo form of the protein by the presence of the copper ion.The results show that the different charge values do not lead to relevant effects on the geometry of the active site of the protein, as long as bond distance constraints are used for all the five ligand atoms. The distance constraint on the O atom of Gly45 can be removed without altering the active site geometry. The coordination between Cu and the other axial ligand Met121 is outlined as being flexible. Differences are found between the bonds of the copper ion with the two apparently equivalent N¹ atoms of His46 and His117.The overall findings are discussed in connection with the issue of determining a model for the active site of azurin suitable to be used in molecular dynamics simulations under unfolding conditions. Figure Model of azurin active site. Copper ligand residues are cut off at C position except Gly45, for which the portion of backbone connecting it to His46 is shown. Only polar H atoms are shown. All atoms are in standard colors (Cu in violet), and the five ligands are labeled     

Conjugated double bonds in lipid bilayers: a molecular dynamics simulation study

Conjugated linoleic acids (CLA) are found naturally in dairy products. Two isomers of CLA, that differ only in the location of cis and trans double bonds, are found to have distinct and different biological effects. The cis 9 trans 11 (C9T11) isomer is attributed to have the anti-carcinogenic effects, while the trans 10 cis 12 (T10C12) isomer is believed to be responsible for the anti-obesity effects. Since dietary CLA are incorporated into membrane phospholipids, we have used Molecular Dynamics (MD) simulations to investigate the comparative effects of the two isomers on lipid bilayer structure. Specifically, simulations of phosphatidylcholine lipid bilayers in which the sn-2 chains contained one of the two isomers of CLA were performed. Force field parameters for the torsional potential of double bonds were obtained from ab initio calculations. From the MD trajectories we calculated and compared structural properties of the two lipid bilayers, including areas per molecule, density profiles, thickness of bilayers, tilt angle of tail chains, order parameters profiles, radial distribution function (RDF) and lateral pressure profiles. The main differences found between bilayers of the two CLA isomers, are (1) the order parameter profile for C9T11 has a dip in the middle of sn-2 chain while the profile for T10C12 has a deeper dip close to terminal of sn-2 chain, and (2) the lateral pressure profiles show differences between the two isomers. Our simulation results reveal localized physical structural differences between bilayers of the two CLA isomers that may contribute to different biological effects through differential interactions with membrane proteins or cholesterol.     

Setting up and running molecular dynamics simulations of membrane proteins

Molecular dynamics simulations have become a popular and powerful technique to study lipids and membrane proteins. We present some general questions and issues that should be considered prior to embarking on molecular dynamics simulation studies of membrane proteins and review common simulation methods. We suggest a practical approach to setting up and running simulations of membrane proteins, and introduce two new (related) methods to embed a protein in a lipid bilayer. Both methods rely on placing lipids and the protein(s) on a widely spaced grid and then 'shrinking' the grid until the bilayer with the protein has the desired density, with lipids neatly packed around the protein. When starting from a grid based on a single lipid structure, or several potentially different lipid structures (method 1), the bilayer will start well-packed but requires more equilibration. When starting from a pre-equilibrated bilayer, either pure or mixed, most of the structure of the bilayer stays intact, reducing equilibration time (method 2). The main advantages of these methods are that they minimize equilibration time and can be almost completely automated, nearly eliminating one time consuming step in MD simulations of membrane proteins.     

3D-QSAR (CoMFA,CoMSIA), molecular docking and molecular dynamics simulations study of 6-aryl-5-cyano-pyrimidine derivatives to explore the structure requirements of LSD1 inhibitors

Recently, Histone Lysine Specific Demethylase 1 (LSD1) was regarded as a promising anticancer target for the novel drug discovery. And several small molecules as LSD1 inhibitors in different structures have been reported. In this work, we carried out a molecular modeling study on the 6-aryl-5-cyano-pyrimidine fragment LSD1 inhibitors using three-dimensional quantitative structure–activity relationship (3D-QSAR), molecular docking and molecular dynamics simulations. Comparative molecular field analysis (CoMFA) and comparative molecular similarity indices analysis (CoMSIA) were used to generate 3D-QSAR models. The results show that the best CoMFA model has q² = 0.802, r²_ncv = 0.979, and the best CoMSIA model has q² = 0.799, r²_ncv = 0.982. The electrostatic, hydrophobic and H-bond donor fields play important roles in the models. Molecular docking studies predict the binding mode and the interactions between the ligand and the receptor protein. Molecular dynamics simulations results reveal that the complex of the ligand and the receptor protein are stable at 300 K. All the results can provide us more useful information for our further drug design.     

Interdomain dynamics and ligand binding: molecular dynamics simulations of glutamine binding protein

Periplasmic binding proteins from Gram-negative bacteria possess a common architecture, comprised of two domains linked by a hinge region, a fold which they share with the neurotransmitter-binding domains of ionotropic glutamate receptors (GluRs). Glutamine-binding protein (GlnBP) is one such protein, whose crystal structure has been solved in both open and closed forms. Multi-nanosecond molecular dynamics simulations have been used to explore motions about the hinge region and how they are altered by ligand binding. Glutamine binding is seen to significantly reduce inter-domain motions about the hinge region. Essential dynamics analysis of inter-domain motion revealed the presence of both hinge-bending and twisting motions, as has been reported for a related sugar-binding protein. Significantly, the influence of the ligand on GlnBP dynamics is similar to that previously observed in simulations of rat glutamate receptor (GluR2) ligand-binding domain. The essential dynamics analysis of GlnBP also revealed a third class of motion which suggests a mechanism for signal transmission in GluRs.     

Molecular dynamics (MD) simulations for the prediction of chiral discrimination of N-acetylphenylalanine enantiomers by cyclomaltoheptaose (beta-cyclodextrin, beta-CD) based on the MM-PBSA (molecular mechanics-Poisson-Boltzmann surface area) approach

Molecular dynamics (MD) simulations were performed for the prediction of chiral discrimination of N-acetylphenylalanine enantiomers by cyclomaltoheptaose (beta-cyclodextrin, beta-CD). Binding free energies and various conformational properties were obtained using by the MM-PBSA (molecular mechanics Poisson-Boltzmann/surface area) approach. The calculated relative difference (DeltaDeltabinding) of binding free energy was in fine agreement with the experimentally determined value. The difference of rotameric distributions of guest N-acetylphenylalanine enantiomers complexed with the host, beta-CD, was observed after the conformational analyses, suggesting that the conformational changes of guest captured within host cavity would be a decisive factor for enantiodifferentiation at a molecular level.     

Protein flexibility: multiple molecular dynamics simulations of insulin chain B

Multiple molecular dynamics simulations totaling more than 100 ns were performed on chain B of insulin in explicit solvent at 300 K and 400 K. Despite some individual variations, a comparison of the protein dynamics of each simulation showed similar trends and most structures were consistent with NMR experimental values, even at the elevated temperature. The importance of packing interactions in determining the conformational transitions of the protein was observed, sometimes resulting in conformations induced by localized hydrophobic interactions. The high temperature simulation generated a more diverse range of structures with similar elements of secondary structure and populated conformations to the simulations at room temperature. A broad sampling of the conformational space of insulin chain B illustrated a wide range of conformational states with many transitions at room temperature in addition to the conformational states observed experimentally. The T-state conformation associated with insulin activity was consistently present and a possible mechanism of behavior was suggested.