The contribution of electrostatic interactions to the collapse of oligoglycine in water.

Protein solubility and conformational stability are a result of a balance of interactions both within a protein and between protein and solvent. The electrostatic solvation free energy of oligoglycines, models for the peptide backbone, becomes more favorable with an increasing length, yet longer peptides collapse due to the formation of favorable intrapeptide interactions between CO dipoles, in some cases without hydrogen bonds. The strongly repulsive solvent cavity formation is balanced by van der Waals attractions and electrostatic contributions. In order to investigate the competition between solvent exclusion and charge interactions we simulate the collapse of a long oligoglycine comprised of 15 residues while scaling the charges on the peptide from zero to fully charged. We examine the effect this has on the conformational properties of the peptide. We also describe the approximate thermodynamic changes that occur during the scaling both in terms of intrapeptide potentials and peptide-water potentials, and estimate the electrostatic solvation free energy of the system.

Systematic investigation of theories of transport in the Lennard-Jones fluid.

Three kinetic theories of transport are investigated for the single-species Lennard-Jones model fluid. Transport coefficients, including diffusion, shear, and bulk viscosity, are calculated from these theories for the Lennard-Jones fluid across the fluid regions of the phase diagram. The results are systematically compared against simulation. It is found that for each transport property considered, there is at least one theoretical result based on approximations that have been systematically derived from a first-principles starting point that is quantitatively useful over a wide range of densities and temperatures. To the authors' knowledge, this article constitutes the first such compendium of results for the Lennard-Jones model fluid that has been assembled.

Fast multipole methods for particle dynamics.

The growth of simulations of particle systems has been aided by advances in computer speed and algorithms. The adoption of O(N) algorithms to solve N-body simulation problems has been less rapid due to the fact that such scaling was only competitive for relatively large N. Our work seeks to find algorithmic modifications and practical implementations for intermediate values of N in typical use for molecular simulations. This article reviews fast multipole techniques for calculation of electrostatic interactions in molecular systems. The basic mathematics behind fast summations applied to long ranged forces is presented along with advanced techniques for accelerating the solution, including our most recent developments. The computational efficiency of the new methods facilitates both simulations of large systems as well as longer and therefore more realistic simulations of smaller systems.

Simple bond length dependence: a correspondence between reactive fluid theories.

Two elementary models of reactive fluids are examined, the first being a standard construction assuming molecular dissociation at infinite separation; the second is an open mixture of nondissociative molecules and free atoms in which the densities of free atoms and molecules are coupled. An approximation to the density of molecules, to low order in site density, is derived in terms of the classical associating fluid theory variously described by Wertheim [J. Chem. Phys. 87, 7323 (1987)] and Stell [Physica A 231, 1 (1996)]. The results are derived for a fluid of dimerizing hard spheres, and predict dependence of the molecular density on the total site density, the hard sphere diameter, and the bond length of the dimer. The results for the two reactive models are shown to be qualitatively similar, and lead to equivalent predictions of the molecular density for the infinitely short and infinitely long bond lengths.

The theoretical basis of universal identification systems for bacteria and viruses.

It is shown that the presence/absence pattern of 1000 random oligomers of length 12-13 in a bacterial genome is sufficiently characteristic to readily and unambiguously distinguish any known bacterial genome from any other. Even genomes of extremely closely-related organisms, such as strains of the same species, can be thus distinguished. One evident way to implement this approach in a practical assay is with hybridization arrays. It is envisioned that a single universal array can be readily designed that would allow identification of any bacterium that appears in a database of known patterns. We performed in silico experiments to test this idea. Calculations utilizing 105 publicly-available completely-sequenced microbial genomes allowed us to determine appropriate values of the test oligonucleotide length, n, and the number of probe sequences. Randomly chosen n-mers with a constant G + C content were used to form an in silico array and verify (a) how many n-mers from each genome would hybridize on this chip, and (b) how different the fingerprints of different genomes would be. With the appropriate choice of random oligomer length, the same approach can also be used to identify viral or eukaryotic genomes.

Simulations of the bis-penicillamine enkephalin in sodium chloride solution: a parameter study.

A simulation study of DPDPE in sodium chloride solution has been performed and compared with previous simulations using a different interaction potential for the ions. Both global thermodynamics as well as a characterization of association to DPDPE have been calculated. We show that the parameters used for the ions have a profound effect on the association to the peptide in 1M NaCl. The observed differences suggest that individual associations in these and previous simulations are sensitive to parameters.

Conformations of an adenine bulge in a DNA octamer and its influence on DNA structure from molecular dynamics simulations.

Molecular dynamics simulations have been applied to the DNA octamer d(GCGCA-GAAC). d(GTTCGCGC), which has an adenine bulge at the center to determine the pathway for interconversion between the stacked and extended forms. These forms are known to be important in the molecular recognition of bulges. From a total of ~35 ns of simulation time with the most recent CHARMM27 force field a variety of distinct conformations and subconformations are found. Stacked and fully looped-out forms are in excellent agreement with experimental data from NMR and x-ray crystallography. Furthermore, in a number of conformations the bulge base associates with the minor groove to varying degrees. Transitions between many of the conformations are observed in the simulations and used to propose a complete transition pathway between the stacked and fully extended conformations. The effect on the surrounding DNA sequence is investigated and biological implications of the accessible conformational space and the suggested transition pathway are discussed, in particular for the interaction of the MS2 replicase operator RNA with its coat protein.

Structural basis for the activity of pp60(c-src) protein tyrosine kinase inhibitors.

Conformational searches on three closely related pp60(c-src) protein tyrosine kinase inhibitors of varying potencies were performed to determine a structural basis for their activity. The first was a linear peptide (PDNEYAFFQf), the second its 10-membered cyclic analogue, and the third a cyclic analogue with a para carboxyphenylalanine in place of one the F residues. A common backbone conformation with an antiparallel beta-sheet-like geometry capped by similar beta-turns was found for all three peptides, which may be a binding conformation and gives a candidate pharmacophore for further testing. The interaction between some polar side chains and between some of the aromatic rings may be important for maintaining the correct conformation. The differences in potencies of these inhibitors may be attributed to certain thermodynamic and chemical reasons.

Residence times of water molecules in the hydration sites of myoglobin.

Hydration sites are high-density regions in the three-dimensional time-averaged solvent structure in molecular dynamics simulations and diffraction experiments. In a simulation of sperm whale myoglobin, we found 294 such high-density regions. Their positions appear to agree reasonably well with the distributions of waters of hydration found in 38 x-ray and 1 neutron high-resolution structures of this protein. The hydration sites are characterized by an average occupancy and a combination of residence time parameters designed to approximate a distribution of residence times. It appears that although the occupancy and residence times of the majority of sites are rather bulk-like, the residence time distribution is shifted toward the longer components, relative to bulk. The sites with particularly long residence times are located only in the cavities and clefts of the protein. This indicates that other factors, such as hydrogen bonds and hydrophobicity of underlying protein residues, play a lesser role in determining the residence times of the longest-lived sites.

Modeling of alpha-MSH conformations with implicit solvent.

A conformational search for the most probable structures of the hormone alpha-MSH in aqueous solution was performed in order to help determine the structural features necessary for biological activity. The free-energy surface was modeled using methods from integral equation theory, and high-temperature molecular dynamics was used to enhance conformational sampling. Families of low free-energy structures have been found. The minimum energy structure shows a stable beta-turn conformation in the putative message region that is stabilized by a salt bridge between Glu5 and Lys11. The orientation of the side chains reflects the amphiphilic nature of the peptide, and a close interaction between the side chains of the His6, Phe7 and Trp9 was observed. Several structural features observed in the minimum energy structure agree well with experimental results. The conformational features led to a hypothesis of a receptor-hormone interaction model in which the hydrophobic side chains of Phe7 and Trp9 interact with the transmembrane portion of the human melanocortin (MC1) receptor. Also, the positively charged side chain of Arg8 and the imidazole side chain of His6 may interact with the negatively charged portions of the receptor which may even be on the receptor's extracellular loops.

Sodium and chlorine ions as part of the DNA solvation shell.

The distribution of sodium and chlorine ions around DNA is presented from two molecular dynamics simulations of the DNA fragment d(C(5)T(5)). (A(5)G(5)) in explicit solvent with 0.8 M additional NaCl salt. One simulation was carried out for 10 ns with the CHARMM force field that keeps the DNA structure close to A-DNA, the other for 12 ns with the AMBER force field that preferentially stabilizes B-DNA conformations (, Biophys. J. 75:134-149). From radial distributions of sodium and chlorine ions a primary ion shell is defined. The ion counts and residence times of ions within this shell are compared between conformations and with experiment. Ordered sodium ion sites were found in minor and major grooves around both A and B-DNA conformations. Changes in the surrounding hydration structure are analyzed and implications for the stabilization of A-DNA and B-DNA conformations are discussed.

Structure and dynamics of alpha-MSH using DRISM integral equation theory and stochastic dynamics.

The structural and dynamical features of the hormone alpha-MSH in solution have been examined over a 100 ns time scale by using free energy molecular mechanics models at room temperature. The free energy surface has been modeled using methods from integral equation theory and the dynamics by the Langevin equation. A modification of the accessible surface area friction drag model was used to calculate the atomic friction coefficients. The molecule shows a stable beta-turn conformation in the message region and a close interaction between the side chains of His6, Phe7, and Trp9. A salt bridge between Glu5 and Arg8 was found not to be a preferred interaction, whereas a Glu5 and Lys11 salt bridge was not sampled, presumably due to relatively high free energy barriers. The message region was more conformationally rigid than the N-terminal region. Several structural features observed here agree well with experimental results. The conformational features suggest a receptor-hormone interaction model where the hydrophobic side chains of Phe7 and Trp9 interact with the transmembrane portion of the MC1 receptor. Also, the positively charged side chain of Arg8 and the imidazole side chain of His6 may interact with the negatively charged portions of the receptor which may even be on the receptor's extracellular loops.

Hydration effects on the electrostatic potential around tuftsin.

The electrostatic potential and component dielectric constants from molecular dynamics (MD) trajectories of tuftsin, a tetrapeptide with the amino acid sequence Thr-Lys-Pro-Arg in water and in saline solution are presented. The results obtained from the analysis of the MD trajectories for the total electrostatic potential at points on a grid using the Ewald technique are compared with the solution to the Poisson-Boltzmann (PB) equation. The latter was solved using several sets of dielectric constant parameters. The effects of structural averaging on the PB results were also considered. Solute conformational mobility in simulations gives rise to an electrostatic potential map around the solute dominated by the solute monopole (or lowest order multipole). The detailed spatial variation of the electrostatic potential on the molecular surface brought about by the compounded effects of the distribution of water and ions close to the peptide, solvent mobility, and solute conformational mobility are not qualitatively reproducible from a reparametrization of the input solute and solvent dielectric constants to the PB equation for a single structure or for structurally averaged PB calculations. Nevertheless, by fitting the PB to the MD electrostatic potential surfaces with the dielectric constants as fitting parameters, we found that the values that give the best fit are the values calculated from the MD trajectories. Implications of using such field calculations on the design of tuftsin peptide analogues are discussed.

Comparison of the potentials of mean force for alanine tetrapeptide between integral equation theory and simulation.

The dielectrically consistent reference interaction site model (DRISM) integral equation theory is applied to determine the potential of mean force (PMF) for an alanine tetramer. A stochastic dynamics simulation of the alanine tetramer using this PMF is then compared with an explicit water molecular dynamics simulation. In addition, comparison is also done with simulations using other solvent models like the extended reference interaction site model (XRISM) theory, constant dielectric and linear distance-dependent dielectric models. The results show that the DRISM method offers a fairly accurate and computationally inexpensive alternative to explicit water simulations for studies on small peptides.

Modeling high-resolution hydration patterns in correlation with DNA sequence and conformation.

Hydration around the DNA fragment d(C5T5).(A5G5) is presented from two molecular dynamics simulations of 10 and 12 ns total simulation time. The DNA has been simulated as a flexible molecule with both the CHARMM and AMBER force fields in explicit solvent including counterions and 0.8 M additional NaCl salt. From the previous analysis of the DNA structure B-DNA conformations were found with the AMBER force-field and A-DNA conformations with CHARMM parameters. High-resolution hydration patterns are compared between the two conformations and between C.G and T.A base-pairs from the homopolymeric parts of the simulated sequence. Crystallographic results from a statistical analysis of hydration sites around DNA crystal structures compare very well with the simulation results. Differences between the crystal sites and our data are explained by variations in conformation, sequence, and limitations in the resolution of water sites by crystal diffraction. Hydration layers are defined from radial distribution functions and compared with experimental results. Excellent agreement is found when the measured experimental quantities are compared with the equivalent distribution of water molecules in the first hydration shell. The number of water molecules bound to DNA was found smaller around T.A base-pairs and around A-DNA as compared to B-DNA. This is partially offset by a larger number of water molecules in hydrophobic contact with DNA around T.A base-pairs and around A-DNA. The numbers of water molecules in minor and major grooves have been correlated with helical roll, twist, and inclination angles. The data more fully explain the observed B-->A transition at low humidity.

NMR and quenched molecular dynamics studies of superpotent linear and cyclic alpha-melanotropins.

Conformational searching, computer simulations, synthesis and NMR are used on a variety of alpha melanocyte-stimulating hormone (alpha-MSH) analogues to understand the physical characteristics required for biological potency. Peptides I (Ac-[Nle4,Asp5,D-Phe7,Lys10]alpha-MSH(4-10)-NH2), II (Ac-c[Nle4,Asp5,D-Phe7,Lys10]alpha-MSH(4-10)-NH2) and III (Ac-[Nle4,Asp5,D-Phe7,Dap10]alpha-MSH(4-10)-NH2 all show very similar conformational properties (backbone and side-chain torsional angles), and all display high biological potencies. The modeling results for these compounds are supported by the NMR data. Peptide IV (Ac-c[Nle4,Asp5,D-Phe7,Dap10]alpha-MSH(4-10)-NH2) appears to have a markedly different conformation and has decreased biological potency.

Diffusion of solvent around biomolecular solutes: a molecular dynamics simulation study.

Effects of the macromolecular solute on the translational mobility of surrounding solvent water, and Na+ and Cl- ions are investigated by molecular dynamics (MD) simulation. Using MD trajectories of myoglobin and d(C5T5) . d(G5A5) DNA decamer of high quality and length, we determine the average diffusion coefficients for all solvent species as a function of distance from the closest solute atom. We examine solvent mobility in the directions parallel and perpendicular to the solute surface and in proximity to three different classes of solute atoms (oxygens, nitrogens, and carbons). The nature and the magnitude of the solute effects on water diffusion appear to be very similar for protein and DNA decamer. The overall diffusion rate at the interface is lower than in the bulk. The rate is higher than the average in the direction parallel to the solute surface, and lower in the direction normal to the surface, up to 15 A away from the solute. The rate is also lower in the solvation shells of the macromolecules, producing characteristic depressions in the radial profiles of the diffusion coefficient that can be correlated with peaks in the corresponding radial distribution functions. The magnitude of these depressions is small compared to the overall change in solvent mobility at the interface. Similar features are observed in the radial profiles of the diffusion coefficient of sodium and chlorine ions as well.

Structural equilibrium of DNA represented with different force fields.

We have recently indicated preliminary evidence of different equilibrium average structures with the CHARMM and AMBER force fields in explicit solvent molecular dynamics simulations on the DNA duplex d(C5T5) . d(A5G5) (Feig, M. and B.M. Pettitt, 1997, Experiment vs. Force Fields: DNA conformation from molecular dynamics simulations. J. Phys. Chem. B. (101:7361-7363). This paper presents a detailed comparison of DNA structure and dynamics for both force fields from extended simulation times of 10 ns each. Average structures display an A-DNA base geometry with the CHARMM force field and a base geometry that is intermediate between A- and B-DNA with the AMBER force field. The backbone assumes B form on both strands with the AMBER force field, while the CHARMM force field produces heterogeneous structures with the purine strand in A form and the pyrimidine strand in dynamical equilibrium between A and B conformations. The results compare well with experimental data for the cytosine/guanine part but fail to fully reproduce an overall B conformation in the thymine/adenine tract expected from crystallographic data, particularly with the CHARMM force field. Fluctuations between A and B conformations are observed on the nanosecond time scale in both simulations, particularly with the AMBER force field. Different dynamical behavior during the first 4 ns indicates that convergence times of several nanoseconds are necessary to fully establish a dynamical equilibrium in all structural quantities on the time scale of the simulations presented here.

Protein hydration density: theory, simulations and crystallography.

Models of protein hydration are becoming increasingly more accurate in comparison with experimental data. The recent success of these models implies that the major features of the solvation layers are dominated by local correlations and that such correlations are universal. The excellent agreement between theoretical and experimental solvent electron density radial distributions marks a significant success in our ability to accurately model macromolecular hydration.