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Computer simulations of molecular systems enable structure-energy-function relationships of molecular processes to be described at the sub-atomic, atomic, supra-atomic or supra-molecular level and plays an increasingly important role in chemistry, biology and physics. To interpret the results of such simulations appropriately, the degree of uncertainty and potential errors affecting the calculated properties must be considered. Uncertainty and errors arise from (1) assumptions underlying the molecular model, force field and simulation algorithms, (2) approximations implicit in the interatomic interaction function (force field), or when integrating the equations of motion, (3) the chosen values of the parameters that determine the accuracy of the approximations used, and (4) the nature of the system and the property of interest. In this overview, advantages and shortcomings of assumptions and approximations commonly used when simulating bio-molecular systems are considered. What the developers of bio-molecular force fields and simulation software can do to facilitate and broaden research involving bio-molecular simulations is also discussed.

Warfarin, a widely used oral anticoagulant, is prescribed as a racemic mixture. Each enantiomer of neutral Warfarin can exist in 20 possible tautomeric states leading to complex pharmacokinetics and uncertainty as to the relevant species under different conditions. Here, the ability of alternative computational approaches to predict the preferred tautomeric form(s) of neutral Warfarin in different solvents is examined. It is shown that varying the method used to estimate the heat of formation in vacuum (direct or via homodesmic reactions), whether entropic corrections were included, and the method used to estimate the free enthalpy of solvation (i.e., PCM, COSMO, or SMD implicit models or explicit solvent) lead to large differences in the predicted rank and relative populations of the tautomers. In this case, only a combination of the enthalpy of formation using homodesmic reactions and explicit solvent to estimate the free enthalpy of solvation yielded results compatible with the available experimental data. The work also suggests that a small but significant subset of the possible Warfarin tautomers are likely to be physiologically relevant.

To enhance efficiency in molecular dynamics simulations, forces that vary slowly are often evaluated less often than those that vary rapidly. We show that the multiple-time-step algorithm implemented in recent versions of GROMACS results in significant differences in the collective properties of a system under conditions where the system was previously stable. The implications of changing the simulation algorithm without assessment of potential artifacts on the parametrization and transferability of effective force fields are discussed.

Biobutanol production by fermentation is potentially a sustainable alternative to butanol production from fossil fuels. However, the toxicity of butanol to fermentative bacteria, resulting largely from cell membrane fluidization, limits production titers and is a major factor limiting the uptake of the technology. Here, studies were undertaken, in vitro and in silico, on the butanol effects on a representative bacterial (i.e. Escherichia coli) inner cell membrane. A critical butanol : lipid ratio for stability of 2 : 1 was observed, computationally, consistent with complete interdigitation. However, at this ratio the bilayer was ∼20% thicker than for full interdigitation. Furthermore, butanol intercalation induced acyl chain bending and increased disorder, measured as a 27% lateral diffusivity increase experimentally in a supported lipid bilayer. There was also a monophasic Tm reduction in butanol-treated large unilamellar vesicles. Both behaviours are inconsistent with an interdigitated gel. Butanol thus causes only partial interdigitation at physiological temperatures, due to butanol accumulating at the phospholipid headgroups. Acyl tail disordering (i.e. splaying and bending) fills the subsequent voids. Finally, butanol short-circuits the bilayer and creates a coupled system where interdigitated and splayed phospholipids coexist. These findings will inform the design of strategies targeting bilayer stability for increasing biobutanol production titers. Ministry of Education (MOE) Nanyang Technological University National Research Foundation (NRF) Accepted version The computational work for this article was performed on resources of the National Supercomputing Centre, Singapore (https://www.nscc.sg). This work was supported by the Ministry of Education, Singapore (MOE) Grants M4360005 and Tier 1 RG146/17. SCELSE is funded by Singapore’s Ministry of Education, National Research Federation, Nanyang Technological University (NTU), and National University of Singapore (NUS) and hosted by NTU in partnership with NUS.

Emissive layers in phosphorescent organic light-emitting diodes commonly make use of guest–host blends such as Ir(ppy)3:CBP to achieve high external quantum efficiencies. However, while the Ir(ppy)3:CBP blend has been studied experimentally, crucial questions remain regarding how exciton diffusion is dependent on the distribution of the guest in the host, which can currently only be addressed at the atomic level via computational modeling. In this work, kinetic Monte Carlo simulations are utilized to gain insight into exciton diffusion in Ir(ppy)3:CBP blend films. The effects of both guest concentration and exciton density on various system properties are analyzed, including the probability of singlet excitons being converted to triplets, and the probability of those triplets decaying radiatively. Significantly, these simulations suggest that triplet diffusion occurs almost exclusively via guest–guest Dexter transfer and that concentration quenching of triplets induced by guest–guest intermolecular dipole-dipole interactions has a negligible effect at high exciton densities due to the prevalence of triplet–triplet annihilation. Furthermore, results for vacuum deposited morphologies derived from molecular dynamics simulations are compared to the results obtained using a simple cubic lattice approximation with randomly distributed guest molecules. We show that while differences in host-based processes such as singlet diffusion are observed, overall, the results on the fate of the excitons are in good agreement for the two morphology types, particularly for guest-based processes at low guest concentrations where guest clustering is limited.

The ability of atomic interaction parameters generated using the Automated Topology Builder and Repository version 3.0 (ATB3.0) to predict experimental hydration free enthalpies (ΔGwater) and solvation free enthalpies in the apolar solvent hexane (ΔGhexane) is presented. For a validation set of 685 molecules the average unsigned error (AUE) between ΔGwater values calculated using the ATB3.0 and experiment is 3.8 kJ·mol-1. The slope of the line of best fit is 1.00, the intercept -1.0 kJ·mol-1, and the R2 0.90. For the more restricted set of 239 molecules used to validate OPLS3 (J. Chem. Theory Comput. 2016, 12, 281-296, DOI: 10.1021/acs.jctc.5b00864) the AUE using the ATB3.0 is just 2.7 kJ·mol-1 and the R2 0.93. A roadmap for further improvement of the ATB parameters is presented together with a discussion of the challenges of validating force fields against the available experimental data.

Cyclopropane fatty acids are widespread in bacteria. As their concentration increases on exposure to hostile environments, they have been proposed to protect membranes. Here, the effect of cyclopropane and unsaturated fatty acids, both in cis and trans configurations, on the packing, order, and fluidity of lipid bilayers is explored using molecular dynamics simulations. It is shown that cyclopropane fatty acids disrupt lipid packing, favor the occurrence of gauche defects in the chains, and increase the lipid lateral diffusion, suggesting that they enhance fluidity. At the same time, they generally induce a greater degree of order than unsaturated fatty acids of the same configuration and limit the rotation about the bonds surrounding the cyclopropane ring. This indicates that cyclopropane fatty acids may fulfill a dual function: stabilizing membranes against adverse conditions while simultaneously promoting their fluidity. Marked differences in the effect of cis- and trans-monocyclopropanated fatty acids were also observed, suggesting that they may play alternative roles in membranes.

A general method for parametrizing atomic interaction functions is presented. The method is based on an analysis of surfaces corresponding to the difference between calculated and target data as a function of alternative combinations of parameters (parameter space mapping). The consideration of surfaces in parameter space as opposed to local values or gradients leads to a better understanding of the relationships between the parameters being optimized and a given set of target data. This in turn enables for a range of target data from multiple molecules to be combined in a robust manner and for the optimal region of parameter space to be trivially identified. The effectiveness of the approach is illustrated by using the method to refine the chlorine 6-12 Lennard-Jones parameters against experimental solvation free enthalpies in water and hexane as well as the density and heat of vaporization of the liquid at atmospheric pressure for a set of 10 aromatic-chloro compounds simultaneously. Single-step perturbation is used to efficiently calculate solvation free enthalpies for a wide range of parameter combinations. The capacity of this approach to parametrize accurate and transferrable force fields is discussed.

Sterols and hopanoids have been suggested to reinforce membranes and protect against unfavorable environmental conditions. In particular, hopanoids are found in high concentrations in membranes of thermotolerant and thermophilic bacteria. However, the mechanism whereby sterols and hopanoids stabilize membranes at elevated temperatures is poorly understood. Here, the effect of temperature on the ordering of lipids in bilayers containing cholesterol or the hopanoids bacteriohopanetetrol and diplopterol was explored using molecular dynamics simulations. It is shown that cholesterol induces a high level of ordering over a wide range of temperatures. Bacteriohopanetetrol promotes order within the lipid tails but enhances fluid-like properties of the head groups at high temperatures. In contrast, diplopterol partitions in the midplane of the bilayer. This suggests that individual hopanoids fulfill distinct functions in membranes, with the ordering properties of bacteriohopanetetrol being particularly well suited to maintain the integrity of membranes at temperatures preferred by thermotolerant and thermophilic bacteria.

The sensitivity of the structure and dynamics of a fully hydrated pure bilayer of 1,2-dipalmitoyl-sn-glycero-3-phosphocholine (DPPC) in molecular dynamics simulations to changes in force-field and simulation parameters has been assessed. Three related force fields (the Gromos 54A7 force field, a Gromos 53A6-derived parameter set and a variant of the Berger parameters) in combination with either particle-mesh Ewald (PME) or a reaction field (RF) were compared. Structural properties such as the area per lipid, carbon-deuterium order parameters, electron density profile and bilayer thicknesses, are reproduced by all the parameter sets within the uncertainty of the available experimental data. However, there are clear differences in the ordering of the glycerol backbone and choline headgroup, and the orientation of the headgroup dipole. In some cases, the degree of ordering was reminiscent of a liquid-ordered phase. It is also shown that, although the lateral diffusion of the lipids in the plane of the bilayer is often used to validate lipid force fields, because of the uncertainty in the experimental measurements and the fact that the lateral diffusion is dependent on the choice of the simulation conditions, it should not be employed as a measure of quality. Finally, the simulations show that the effect of small changes in force-field parameters on the structure and dynamics of a bilayer is more significant than the treatment of the long-range electrostatic interactions using RF or PME. Overall, the Gromos 54A7 best reproduced the range of experimental data examined.

A fundamental challenge in computational drug design is the availability of reliable and validated experimental binding and structural data against which theoretical calculations can be compared. In this work a combination of molecular dynamics (MD) simulations and free energy calculations has been used to analyze the structural and thermodynamic basis of ligand recognition by phenylethanolamine N-methyltransferase (PNMT) in an attempt to resolve uncertainties in the available binding and structural data. PNMT catalyzes the conversion of norepinephrine into epinephrine (adrenaline), and inhibitors of PNMT are of potential therapeutic importance in Alzheimer's and Parkinson's disease. Excellent agreement between the calculated and recently revised relative binding free energies to human PNMT was obtained with the average deviation between the calculated and the experimentally determined values being only 0.8 kJ/mol. In this case, the variation in the experimental data over time is much greater than the uncertainties in the theoretical estimates. The calculations have also enabled the refinement of structure-activity relationships in this system, to understand the basis of enantiomeric selectivity of substitution at position three of tetrahydroisoquinoline and to identify the role of specific structural waters. Finally, the calculations suggest that the preferred binding mode of trans-(1S,2S)-2-amino-1-tetralol is similar to that of its epimer cis-(1R,2S)-2-amino-1-tetralol and that the ligand does not adopt the novel binding mode proposed in the pdb entry 2AN5 . The work demonstrates how MD simulations and free energy calculations can be used to resolve uncertainties in experimental binding affinities, binding modes, and other aspects related to X-ray refinement and computational drug design.

Enhanced hydrostatic pressure can induce phase transitions in hydrated lipid bilayers especially those composed of saturated phospholipids. In this work, the phase behavior of fully hydrated DPPC (1,2-dipalmitoyl-sn-glycero-3-phosphocholine) and POPC (2-oleoyl-1-palmitoyl-sn-glycero-3-phosphocholine) bilayers as a function of pressure up to 3000 atm has been examined in atomic detail on time scales of up to 1.0 μs, using the molecular dynamics simulation technique. DPPC bilayers formed a rippled gel-like phase comprising a minor disordered fluid-like region and a major ordered gel-like region at 1000 atm, a partially interdigitated gel-like phase at 2000 atm, and a gel-like phase with most of the lipid acyl chains tilted with respect to the plane of the bilayer at 3000 atm. POPC bilayers formed a rippled gel-like phase at 1800, 2400, and 3000 atm. The phase behavior observed for both DPPC and POPC bilayers is in agreement with experiment. The simulations provide insight into the structural changes of DPPC and POPC bilayers as a function of pressure and demonstrate the ability to model biologically relevant lipid systems under high hydrostatic pressure.

The possibility of estimating equilibrium free-energy profiles from multiple non-equilibrium simulations using the fluctuation-dissipation theory or the relation proposed by Jarzynski has attracted much attention. Although the Jarzynski estimator has poor convergence properties for simulations far from equilibrium, corrections have been derived for cases in which the work is Gaussian distributed. Here, we examine the utility of corrections proposed by Gore and collaborators using a simple dissipative system as a test case. The system consists of a single methane-like particle in explicit water. The Jarzynski equality is used to estimate the change in free energy associated with pulling the methane particle a distance of 3.9 nm at rates ranging from similar to 0.1 to 100 ms(-1). It is shown that although the corrections proposed by Gore and collaborators have excellent numerical performance, the profiles still converge slowly. Even when the corrections are applied in an ideal case where the work distribution is necessarily Gaussian, performing simulations under quasi-equilibrium conditions is still most efficient. Furthermore, it is shown that even for a single methane molecule in water, pulling rates as low as 1 ms(-1) can be problematic. The implications of this finding for studies in which small molecules or even large biomolecules are pulled through inhomogeneous environments at similar pulling rates are discussed.

A method is presented to enhance the efficiency of simulations of lipid vesicles. The method increases computational speed by eliminating water molecules that either surround the vesicle or reside in the interior of the vesicle, without altering the properties of the water at the membrane interface. Specifically, mean field force approximation (MFFA) boundary potentials are used to replace both the internal and external excess bulk solvent. In addition to reducing the cost of simulating preformed vesicles, the molding effect of the boundary potentials also enhances the formation and equilibration of vesicles from random solutions of lipid in water. Vesicles with diameters in the range from 20 to 60 nm were obtained on a nanosecond time scale, without any noticeable effect of the boundary potentials on their structure.

Molecular dynamics simulations of fully hydrated pure bilayers of four widely studied phospholipids, 1,2-dilauroyl-sn-glycero-3-phosphocholine (DLPC), 1,2-dimyristoyl-sn-glycero-3-phosphocholine (DMPC), 1,2-dioleoyl-sn-glycero-3-phosphocholine (DOPC), and 2-oleoyl-1-palmitoyl-sn-glycero-3-phosphocholine (POPC) using a recent revision of the GROMOS96 force field are reported. It is shown that the force field reproduces the structure and the hydration of bilayers formed by each of the four lipids with high accuracy. Specifically, the solvation and the orientation of the dipole of the phosphocholine headgroup and of the ester carbonyls show that the structure of the primary hydration shell in the simulations closely matches experimental findings. This work highlights the need to reproduce a broad range of properties beyond the area per lipid, which is poorly defined experimentally, and to consider the effect of system size and sampling times well beyond those commonly used.

The Automated force field Topology Builder (ATB, http://compbio.biosci.uq.edu.au/atb ) is a Web-accessible server that can provide topologies and parameters for a wide range of molecules appropriate for use in molecular simulations, computational drug design, and X-ray refinement. The ATB has three primary functions: (1) to act as a repository for molecules that have been parametrized as part of the GROMOS family of force fields, (2) to act as a repository for pre-equilibrated systems for use as starting configurations in molecular dynamics simulations (solvent mixtures, lipid systems pre-equilibrated to adopt a specific phase, etc.), and (3) to generate force field descriptions of novel molecules compatible with the GROMOS family of force fields in a variety of formats (GROMOS, GROMACS, and CNS). Force field descriptions of novel molecules are derived using a multistep process in which results from quantum mechanical (QM) calculations are combined with a knowledge-based approach to ensure compatibility (as far as possible) with a specific parameter set of the GROMOS force field. The ATB has several unique features: (1) It requires that the user stipulate the protonation and tautomeric states of the molecule. (2) The symmetry of the molecule is analyzed to ensure that equivalent atoms are assigned identical parameters. (3) Charge groups are assigned automatically. (4) Where the assignment of a given parameter is ambiguous, a range of possible alternatives is provided. The ATB also provides several validation tools to assist the user to assess the degree to which the topology generated may be appropriate for a given task. In addition to detailing the steps involved in generating a force field topology compatible with a specific GROMOS parameter set (GROMOS 53A6), the challenges involved in the automatic generation of force field parameters for atomic simulations in general are discussed.

The stability of the crystal structure of the multidrug transporter P-glycoprotein proposed by Aller et al. (PDBid 3G5U ) has been examined under different environmental conditions using molecular dynamics. We show that in the presence of the detergent cholate, the structure of P-glycoprotein solved at pH 7.5 is stable. However, when incorporated into a cholesterol-enriched POPC membrane in the presence of 150 mM NaCl, the structure rapidly deforms. Only when the simulation conditions closely matched the experimental conditions under which P-glycoprotein is transport active was a stable conformation obtained. Specifically, the presence of Mg(2+), which bound to distinct sites in the nucleotide binding domains (NBDs), and the double protonation of the catalytic histidines (His583 and His1228) and His149 were required. While the structure obtained in a membrane environment under these conditions is very similar to the crystal structure of Aller et al., there are several key differences. The NBDs are in direct contact, reminiscent of the open state of MalK. The angle between the transmembrane domains is also increased, resulting in an outward motion of the intracellular loops. Notably, the structures obtained from the simulations provide a better match to a range of experimental cross-linking data than does the original 3G5U-a crystal structure. This work highlights the effect small changes in environmental conditions can have of the conformation of a membrane protein and the importance of representing the experimental conditions appropriately in modeling studies.

Extensive molecular dynamic simulations (similar to 240 ns) have been used to investigate the conformational behavior of PrP106-126 prion peptide in four different environments (water, dimethyl sulfoxide, hexane, and trifluoroethanol) and under both neutral and acidic conditions. The conformational polymorphism of PrP106-126 in solution observed in the simulations supports the role of this fragment in the structural transition of the native to the abnormal form of prion protein in response to changes in the local environmental conditions. The peptide in solution is primarily unstructured. The simulations show an increased presence of helical structure in an apolar solvent, in agreement with the results from circular dichroism spectroscopy. In water solution, beta-sheet elements were observed between residues 108-112 and either residues 115-121 or 121-126. An alpha-beta transition was observed under neutral conditions. In DMSO, the peptide adopted an extended conformation, in agreement with nuclear magnetic resonance experiments.

We report results from molecular dynamics simulations of the freezing transition of TIP5P water molecules confined between two parallel plates under the influence of a homogeneous external electric field, with magnitude of 5 V/nm, along the lateral direction. For water confined to a thickness of a trilayer we find two different phases of ice at a temperature of T=280 K. The transformation between the two, proton-ordered, ice phases is found to be a strong first-order transition. The low-density ice phase is built from hexagonal rings parallel to the confining walls and corresponds to the structure of cubic ice. The high-density ice phase has an in-plane rhombic symmetry of the oxygen atoms and larger distortion of hydrogen bond angles. The short-range order of the two ice phases is the same as the local structure of the two bilayer phases of liquid water found recently in the absence of an electric field [J. Chem. Phys. 119, 1694 (2003)]. These high- and low-density phases of water differ in local ordering at the level of the second shell of nearest neighbors. The results reported in this paper, show a close similarity between the local structure of the liquid phase and the short-range order of the corresponding solid phase. This similarity might be enhanced in water due to the deep attractive well characterizing hydrogen bond interactions. We also investigate the low-density ice phase confined to a thickness of 4, 5, and 8 molecular layers under the influence of an electric field at T=300 K. In general, we find that the degree of ordering decreases as the distance between the two confining walls increases. (C) 2004 American Institute of Physics.

This paper describes the parametrization of a new coarse grained (CG) model for lipid and surfactant systems. Reduction of the number of degrees of freedom together with the use of short range potentials makes it computationally very efficient. Compared to atomistic models a gain of 3-4 orders of magnitude can be achieved. Micrometer length scales or millisecond time scales are therefore within reach. To encourage applications, the model is kept very simple. Only a small number of coarse grained atom types are defined, which interact using a few discrete levels of interaction. Despite the computational speed and the simplistic nature of the model, it proves to be both versatile in its applications and accurate in its predictions. We show that densities of liquid alkanes from decane up to eicosane can be reproduced to within 5%, and the mutual solubilities of alkanes in water and water in alkanes can be reproduced within 0.5 kT of the experimental values. The CG model for dipalmitoylphosphatidylcholine (DPPC) is shown to aggregate spontaneously into a bilayer. Structural properties such as the area per headgroup and the phosphate-phosphate distance match the experimentally measured quantities closely. The same is true for elastic properties such as the bending modulus and the area compressibility, and dynamic properties such as the lipid lateral diffusion coefficient and the water permeation rate. The distribution of the individual lipid components along the bilayer normal is very similar to distributions obtained from atomistic simulations. Phospholipids with different headgroup (ethanolamine) or different tail lengths (lauroyl, stearoyl) or unsaturated tails (oleoyl) can also be modeled with the CG force field. The experimental area per headgroup can be reproduced for most lipids within 0.02 nm(2). Finally, the CG model is applied to nonbilayer phases. Dodecylphosphocholine (DPC) aggregates into small micelles that are structurally very similar to ones modeled atomistically, and DOPE forms an inverted hexagonal phase with structural parameters in agreement with experimental data.

1,1,1-Trifluoro-propan-2-ol (TFIP) alcohol has been used to study the influence of trifluoromethyl groups (CF3) on the physicochemical properties of fluorinated organic molecules. TFIP contains both a CF3 and a methyl (CH3) group. An atomistic study of TFIP thus can provide insight into the behavior of the two groups in water. First, an all-atom model of TFIP was parametrized to reproduce the experimental density, pressure, and enthalpy of vaporization of the pure racemic liquid at 298 K. Mixtures of TFIP with water were then simulated at 298 K, and the structural, thermodynamic, and kinetic properties obtained were compared with the available experimental data. The structure of the hydratation shell of the CF3 group was found to be concentration-dependent. At concentrations at which TFIP and water are miscible, the organization of water around the CF3 groups was similar to that found around the CH3 groups. At concentrations at which TFIP and water are not miscible, the water around the CF3 group was highly disordered. The structure of the water cage around the CH3 groups was found to be similar for all of the water concentrations. This difference in organization of the hydratation shell around the CF3 and CH3 groups may play a key role in determining the unusual miscibility behavior of TFIP as compared with other fluorinated compounds such as 2,2,2-trifluoroethanol and 1,1,1,3,3,3-hexafluoropropan-2-ol.

The effect of the neglect of electronic polarization, on the relative stability of different conformations of a model peptide in a nonpolar environment, has been investigated. Configurations generated in molecular dynamics simulations of polyalanine (ACE-ALA(15)-NH2) in cyclohexane were analyzed in terms of a nonmutual polarization model. The work clearly demonstrates that the stability of conformations which have an enhanced electric field, such as is generated by the formation of a helix dipole, can be significantly underestimated by the neglect of the effects of electronic polarization in weakly polar or nonpolar solvents.

Oxidative degradation of guanine to 2,6-diamino-4-oxo-5-for-mamidopyrimidine (FapyG) is believed to be mutagenic. It has been proposed recently that the enol tautomer of FapyG is mainly responsible for this effect leading to a guanine-to-thymine mutation (T. H. Gehrke, U. Lischke, K. L. Gasteiger, S. Schneider, S. Arnold, H. C. Muller, D. S. Stephenson, H. Zipse, T. Carell, Nat. Chem. Biol. 2013, 9, 455-461). Here, density functional methods suggest that the enol tautomer of FapyG might not be responsible for the proposed guanine-to-thymine mutation. Instead, it might result in a guanine-to-adenine mutation.

A new model for 2,2,2-trifluoroethanol is proposed. It is a 7-atom model with the methylene group treatedas an united atom. The model was optimized to reproduce the physicochemical properties of the pure liquid.The properties of the new model were compared with the available experimental data over a range oftemperatures. Furthermore, mixtures with the SPC water model were simulated to assess the ability to reproduceavailable thermodynamic and kinetic data as well as dielectric properties. The model provides a good agreementwith experimental data for the neat liquid and for mixtures with water.

Using an atom based force field, molecular dynamics (MD) simulations of 54 dodecylphosphocholine (DPC) surfactant molecules in water at two different concentrations above the critical micelle concentration have been performed. Starting from a random distribution of surfactants, we observed the spontaneous aggregation of the surfactants into a single micelle. At the higher DPC concentration (0.46 M) the surfactants aggregated into a worm-like micelle within 1 ns, whereas at lower concentration (0.12 M) they aggregated on a slower time scale (~12 ns) into a spherical micelle. The difference in the final aggregate is a direct consequence of the system achieving the lowest free energy configuration for a given quantity of surfactant within the periodic boundary conditions. The simulation at low surfactant concentration was repeated three times in order to obtain statistics on the rate of aggregation. It was found that the aggregation occurs at a (virtually) constant rate with a rate constant of k = 1 × 10-4 ps-1. This is an unexpected result. On the basis of Monte Carlo simulations of a stochastic description of the system, using diffusion rates and cluster radii as determined by separate MD simulations of single DPC clusters, a lower rate constant which diminishes in the course of the aggregation process had been predicted. Neglect of hydrodynamic interactions, of long-range hydrophobic interactions, or of spatial correlations in the stochastic approach might account for the descrepancies with the more accurate MD simulations.

A heuristic formula for calculating absolute entropies from the covariance matrix of atom-positional fluctuations was extensively tested. Because of its heuristic nature, the results obtained are compared to analytical expressions for an ensemble of harmonic oscillators, for the ideal gas, and to numerical results obtained from the equation of state for the Lennard-Jones fluid as a means of validation of the approximate formula for the entropy. The formula yields rather accurate results. The removal of translational and rotational rigid body motion and the effect of the various fitting procedures involved are discussed for the more realistic system of a β-heptapeptide in solution.

A simple rigid three-site model for methanol compatible with the simple point charge (SPC) water and the GROMOS96 force field is parametrized and tested. The influence of different force-field parameters, such as the methanol geometry and the charge distribution on several properties calculated by molecular dynamics is investigated. In particular an attempt was made to obtain good agreement with experimental data for the static dielectric constant and the mixing enthalpy with water. The model is compared to other methanol models from the literature in terms of the ability to reproduce a range of experimental properties.

We present the newest version of the GROningen MOlecular Simulation program package, GROMOS96. GROMOS96 has been developed for the dynamic modelling of (bio)molecules using the methods of molecular dynamics, stochastic dynamics, and energy minimization as well as the path-integral formalism. An overview of its functionality is given, highlighting methodology not present in the last major release, GROMOS87. The organization of the code is outlined, and reliability, testing, and efficiency issues involved in the design of this large (73 000 lines of FORTRAN77 code) and complex package are discussed. Finally, we present two applications illustrating new functionality: local elevation simulation and molecular dynamics in four spatial dimensions.

Sterols are the hallmarks of eukaryotic membranes where they are often found in specialized functional microdomains of the plasma membrane called lipid rafts. Despite some notable exceptions, prokaryotes lack sterols. However, growing evidence has suggested the existence of raft-like domains in the plasma membrane of bacteria. A structurally related family of triterpenoids found in some bacteria called hopanoids has long been assumed to be bacterial surrogates for sterols in membranes. Although the effect of sterols, in particular cholesterol, on lipid bilayers has been extensively characterized through experimental and simulation studies, those of hopanoids have hardly been investigated. In this study, molecular dynamics simulations are used to examine the effect of two hopanoids, diploptene (hop-22(29)-ene) and bacteriohopanetetrol ((32R,33S,34S)-bacteriohopane-32,33,34,35-tetrol), on a model bilayer. The results are compared with those obtained for cholesterol and a pure phosphatidylcholine bilayer. It is shown that diploptene and bacteriohopanetetrol behave very differently under the conditions simulated. Whereas bacteriohopanetetrol adopted a cholesterol-like upright orientation in the bilayer, diploptene partitioned between the two leaflets inside the bilayer. Analysis of various structural properties (area per lipid, electron density profile, tilt angle of the lipids, and conformation and order parameters of the phosphatidylcholine tails) in bacteriohopanetetrol- and cholesterol-containing bilayers indicates that the condensing and ordering effect of bacteriohopanetetrol is weaker than that of cholesterol. The simulations suggest that the chemical diversity of hopanoids may lead to a broader range of functional roles in bacterial membranes than sterols in eukaryotic membranes.

To test and validate the Automated force field Topology Builder and Repository (ATB; http://compbio.biosci.uq.edu.au/atb/ ) the hydration free enthalpies for a set of 214 drug-like molecules, including 47 molecules that form part of the SAMPL4 challenge have been estimated using thermodynamic integration and compared to experiment. The calculations were performed using a fully automated protocol that incorporated a dynamic analysis of the convergence and integration error in the selection of intermediate points. The system has been designed and implemented such that hydration free enthalpies can be obtained without manual intervention following the submission of a molecule to the ATB. The overall average unsigned error (AUE) using ATB 2.0 topologies for the complete set of 214 molecules was 6.7 kJ/mol and for molecules within the SAMPL4 7.5 kJ/mol. The root mean square error (RMSE) was 9.5 and 10.0 kJ/mol respectively. However, for molecules containing functional groups that form part of the main GROMOS force field the AUE was 3.4 kJ/mol and the RMSE was 4.0 kJ/mol. This suggests it will be possible to further refine the parameters provided by the ATB based on hydration free enthalpies.

We have investigated the feasibility of predicting free energy differences between a manifold of molecular states from a single simulation or ensemble representing one reference state. Two formulas that are based on the so-called λ- coupling parameter approach are analyzed and compared: (i) expansion of the free energy F(λ) into a Taylor series around a reference state (λ = 0), and (ii) the so-called free energy perturbation formula. The results obtained by these extrapolation methods are compared to exact (target) values calculated by thermodynamic integration for mutations in two molecular systems: a model dipolar diatomic molecule in water, and a series of para-substituted phenols in water. For moderate charge redistribution (≈0.5 e), both extrapolation methods reproduce the exact free energy differences. For free energy changes due to a change of atom type or size, the Taylor expansion method fails completely, while the perturbation formula yields moderately accurate predictions. Both extrapolation ...

Molecular dynamics simulations have been used to investigate the effect of DMSO on 1,2-dipalmitoyl-sn-glycero-3-phosphatidylcholine (DPPC) and 1,2-dioleoyl-sn-glycero-3-phosphocholine (DOPC) phospholipid bilayers. The concentration of DMSO was varied between 0 and 25.0 mol %. For both lipids, DMSO causes the membrane to expand in the plane of the membrane while thinning normal to that plane. Above a critical concentration, pores in the membrane form spontaneously, and if the concentration is increased further, then the bilayer structure is destroyed. Even at concentrations below those required to induce pores, DMSO readily diffuses across the bilayers. The free-energy profile associated with the diffusion of a DMSO molecules across the membrane has been calculated. The simulations suggest that the DOPC bilayer is more resistant to the deleterious effects of DMSO, both increasing the stability of the membranes and decreasing the rate at which DMSO diffuses across the membrane. In this way, the work highlights the importance of investigating the lipid composition of cell membranes when characterizing the effects of cryosolvents.

A simple, general and numerically stable approach for avoiding the singularities which generally occur when atoms or interaction sites are created or annihilated in free energy calculations based on computer simulations is presented. The origin of such singularities and numerical instabilities occurring in Monte Carlo or molecular dynamics simulations is discussed, as is the limited accuracy of the techniques currently used to avoid such difficulties.

The relative binding free energy between two ligands to a specific protein can be obtained using various computational methods. The more accurate and also computationally more demanding techniques are the so-called free energy methods which use conformational sampling from molecular dynamics or Monte Carlo simulations to generate thermodynamic averages. Two such widely applied methods are the thermodynamic integration (TI) and the recently introduced enveloping distribution sampling (EDS) methods. In both cases relative binding free energies are obtained through the alchemical perturbations of one ligand into another in water and inside the binding pocket of the protein. TI requires many separate simulations and the specification of a pathway along which the system is perturbed from one ligand to another. Using the EDS approach, only a single automatically derived reference state enveloping both end states needs to be sampled. In addition, the choice of an optimal pathway in TI calculations is not trivial and a poor choice may lead to poor convergence along the pathway. Given this, EDS is expected to be a valuable and computationally efficient alternative to TI. In this study, the performances of these two methods are compared using the binding of ten tetrahydroisoquinoline derivatives to phenylethanolamine N-transferase as an example. The ligands involve a diverse set of functional groups leading to a wide range of free energy differences. In addition, two different schemes to determine automatically the EDS reference state parameters and two different topology approaches are compared.

The static and frequency dependent dielectric properties of trypsin inhibitor and hen egg white lysozyme have been calculated from the fluctuations in the total dipole moment of the two proteins. Total dipole moment fluctuations were obtained from long molecular dynamics simulations of both proteins in an explicit solvent environment. Despite differences in the total charge, volume, shape and secondary structure composition of the two proteins, consistent values for the dielectric constant were obtained. The static dielectric constant of trypsin inhibitor was calculated to be 36, compared with a value of 30 for hen egg white lysozyme. Convergence in the calculations required 1 ns of simulation. The calculated frequency dependent dielectric constant was also consistent with known experimental dielectric dispersion curves for proteins in aqueous solution. The implications for free energy calculations involving significant charge redistribution are also discussed.

Despite its central role in structure based drug design the determination of the binding mode (position, orientation and conformation in addition to protonation and tautomeric states) of small heteromolecular ligands in protein:ligand complexes based on medium resolution X-ray diffraction data is highly challenging. In this perspective we demonstrate how a combination of molecular dynamics simulations and free energy (FE) calculations can be used to correct and identify thermodynamically stable binding modes of ligands in X-ray crystal complexes. The consequences of inappropriate ligand structure, force field and the absence of electrostatics during X-ray refinement are highlighted. The implications of such uncertainties and errors for the validation of virtual screening and fragment-based drug design based on high throughput X-ray crystallography are discussed with possible solutions and guidelines.

A general method is presented to reduce the simulation time required to compute the relative free energy between two states X and Y of a molecular system by computer simulation. Although the free energy difference DELTA-A(x-->y) is, in principle, independent of the pathway chosen to change X into Y, in practice its choice strongly affects the accuracy of the obtained DELTA-A value. The optimum path is the one for which the relaxation time of the system tau-system attains a minimum, allowing the system to remain as close as possible near equilibrium during a simulation. Downscaling the relevant parts of the potential energy function before the change from X to Y is made, and upscaling afterwards is a rather general way to shorten tau-system and thus save computing time. For a model system of butane like molecules the proposed procedure is more than 1 order of magnitude more efficient than the conventional technique of direct interconversion from state X to state Y.

The sensitivity of molecular dynamics simulations to variations in the force field has been examined in relation to a set of 36 structures corresponding to 31 proteins simulated by using different versions of the GROMOS force field. The three parameter sets used (43a1, 53a5, and 53a6) differ significantly in regard to the nonbonded parameters for polar functional groups and their ability to reproduce the correct solvation and partitioning behavior of small molecular analogues of the amino acid side chains. Despite the differences in the force field parameters no major differences could be detected in a wide range of structural properties such as the root-mean-square deviation from the experimental structure, radii of gyration, solvent accessible surface, secondary structure, or hydrogen bond propensities on a 5 to 10 ns time scale. The small differences that were observed correlated primarily with the presence of charged residues as opposed to residues that differed most between the parameter sets. The work highlights the variation that can be observed in nanosecond simulations of protein systems and implications of this for force field validation, as well as for the analysis of protein simulations in general.

Three host-guest systems have been characterized using surface tension (sigma), calorimetry, and molecular dynamics simulations (MD). The hosts were three native cyclodextrins (CD) and the guest the non-ionic carbohydrate surfactant octyl-beta-d-glucopyranoside. It is shown that, for any host-guest system, a rough screening of the most probable complex stoichiometries can be obtained in a model free form, using only calorimetric data. The sigma data were analyzed using a model that includes a newly proposed adsorption isotherm. The equilibrium constants for several stoichiometries were simultaneously obtained through fitting the sigma data. For alpha- and beta-CD, the predominant species is 1:1 and to a lesser extent 2:1, disregarding the existence of the 1:2. For gamma-CD, the 1:2 species dominates, the other two being also present. In an attempt to confirm these results, 10 ns MD simulations for each CD were performed using seven different starting conformations. The MD stable conformations agree with the results found from the experimental data. In one case, the spontaneous dissociation-formation of a complex was observed. Analysis of the trajectories indicates that hydrophobic interactions are primarily responsible for the formation and stability of the inclusion complexes. For the 2:1 species, intermolecular H-bonds between CD molecules result in a tight packed structure where their original truncated cone shape is lost in favor of a cylindrical geometry. Together, the results clearly demonstrate that the often used assumption of considering only a 1:1 species is inappropriate.

Replica exchange methods REMs are increasingly used to improve sampling in molecular dynamics MD simulations of biomolecular systems. However, despite having been shown to be very effective on model systems, the application of REM in complex systems such as for the simulation of protein and peptide folding in explicit solvent has not been objectively tested in detail. Here we present a comparison of conventional MD and temperature replica exchange MD T-REMD simulations of a -heptapeptide in explicit solvent. This system has previously been shown to undergo reversible folding on the time scales accessible to MD simulation and thus allows a direct one-to-one comparison of efficiency. The primary properties compared are the free energy of folding and the relative populations of different conformers as a function of temperature. It is found that to achieve a similar degree of precision T-REMD simulations starting from a random set of initial configurations were approximately an order of magnitude more computationally efficient than a single 800 ns conventional MD simulation for this system at the lowest temperature investigated 275 K. However, whereas it was found that T-REMD simulations are more than four times more efficient than multiple independent MD simulations at one temperature 300 K the actual increase in conformation sampling was only twofold. The overall gain in efficiency using REMD resulted primarily from the ordering of different conformational states over temperature, as opposed to a large increase of conformational sampling. It is also shown that in this system exchanges are accepted primarily based on random fluctuations within the solvent and are not strongly correlated with the instantaneous peptide conformation raising questions in regard to the efficiency of T-REMD in larger systems. © 2007 American Institute of Physics. DOI: 10.1063/1.2404954

We report here an advanced approach for the characterization of the folding pattern of a de novo designed antiparallel coiled coil peptide by high-resolution methods. Incorporation of two fluorescence labels at the C- and N-terminus of the peptide chain as well as modi. cation of two hydrophobic core positions by Phe/[N-15,C-13]Leu enable the study of the folding characteristics and of distinct amino acid side chain interactions by fluorescence resonance energy transfer (FRET) and NMR spectroscopy. Results of both experiments reveal the antiparallel alignment of the helices and thus prove the design concept. This finding is also supported by molecular dynamics simulations. Electrospray ionization Fourier transform ion cyclotron resonance mass spectrometry (ESI-FTICR-MS) in combination with NMR experiments was used for veri. cation of the oligomerization equilibria of the coiled coil peptide.

We report results from molecular dynamics simulations of the freezing and melting, at ambient temperature (T=300 K), of a bilayer of liquid water induced by either changing the distance between two confining parallel walls at constant lateral pressure or by lateral compression at constant plate separation. Both transitions are found to be first order. The system studied consisted of 1200 water molecules that were described by the TIP5P model. The in-plane symmetry of the oxygen atoms in the ice bilayer was found to be rhombic with a distorted in-registry arrangement. Above and below the stability region of the ice bilayer we observed two bilayer phases of liquid water that differ in the local ordering at the level of the second shell of nearest neighbors and in the density profile normal to the plane, yielding two liquid phases with different densities. These results suggest the intriguing possibility of a liquid-liquid transition of water, confined to a bilayer, at regions where the ice bilayer is unstable with respect to either of the liquid phases. In addition, we find that under the same conditions, water confined to 3-8 layers remains in the liquid phase (albeit stratification of the transverse density profile) with values of the lateral diffusion coefficient comparable to that of the bulk. (C) 2003 American Institute of Physics.

Molecular dynamics (MD) simulations and polarized subnanosecond time-resolved flavin fluorescence spectroscopy have been used to study the conformational dynamics of the flavin adenine dinucleotide (FAD) cofactor in aqueous solution. FAD displays a highly heterogeneous fluorescence intensity decay, resulting in lifetime spectra with two major components: a dominant 7-ps contribution that is characteristic of ultrafast fluorescence quenching and a 2.7-ns contribution resulting from moderate quenching. MD simulations were performed in both the ground state and first excited state. The simulations showed transitions from "open" conformations to "closed" conformations in which the flavin and adenine ring systems stack coplanarly. Stacking generally occurred within the lifetime of the flavin excited state (4.7 ns in water), and yielded a simulated fluorescence lifetime on the order of the nanosecond lifetime that was observed experimentally. Hydrogen bonds in the ribityl-pyrophosphate-ribofuranosyl chain connecting both ring systems form highly stable cooperative networks and dominate the conformational transitions of the molecule. Fluorescence quenching in FAD is mainly determined by the coplanar stacking of the flavin and adenine ring systems, most likely through a mechanism of photoinduced electron transfer. Whereas in stacked conformations fluorescence is quenched nearly instantaneously, open fluorescent conformations can stack during the lifetime of the flavin excited state, resulting in immediate fluorescence quenching upon stacking.

To understand the effect of the finite size of simulation cells on the equilibrium properties of bilayers, an extensive series of glycerolmonoolein bilayer molecular dynamics simulations in which the surface area and system size were systematically changed have been conducted. Systems ranging from 200 to 1800 lipids were simulated, covering length scales up to 20 nm. The dependence of the surface tension on the area per lipid is shown, although long simulation times were needed (up to 40 ns) to obtain reliable estimates. As the size of simulated patches increases, long wavelength undulatory modes appear with a concomitant increase in the area compressibility due to coupling of undulation modes to area fluctuations. Both the undulatory intensities and the peristaltic intensities of the bilayer fluctuations can be fitted in the long wavelength limit to continuum model predictions. The effect of system size on surface tension appears to depend on the stress conditions.

An all-atom model of 1,1,1,3,3,3-hexafluoro-propan-2-ol (HFIP) for use in molecular dynamics simulation studies is proposed. The model was parametrized by fitting to the experimental density, pressure, and enthalpy of vaporization of the pure liquid at 298 K. The model was then tested by comparison against other experimental thermodynamic and kinetic properties of the pure liquid. Mixtures with SPC water were also investigated. Overall, reasonable agreement with the available experimental data for the neat liquid and for mixtures with SPC water was found. A tendency for HFIP to cluster in SPC water was observed in qualitative agreement with experimental observations. The effect of HFIP on the secondary structure of peptides was also studied. Two simulations of the peptide Melittin, in pure water and in 30% v/v HFIP, demonstrate the helix stabilizing effect of HFIP.

Stokes-Einstein behaviour at the molecular level is investigated by simulating water at different temperatures and by simulating 'water' models with different mass distributions. When combining Stokes' law for the viscosity with Einstein's formula for the diffusivity, an expression for the product of these quantities is obtained, which shows that the product of diffusivity and viscosity should be independent of the mass distribution and positively proportional to the temperature. Using both, equilibrium and non-equilibrium simulation techniques to compute the viscosity slight deviation from Stokes-Einstein behaviour was found for the 'water' models and temperatures investigated. Non-equilibrium simulation seems to yield systematically lower values for the viscosity than the equilibrium simulation. (C) 2001 Elsevier Science B.V. All rights reserved.

Derivatives of free energy differences have been calculated by molecular dynamics techniques. The systems under study were ternary complexes of Trimethoprim (TMP) with dihydrofolate reductases of E. coli and chicken liver, containing the cofactor NADPH. Derivatives are taken with respect to modification of TMP, with emphasis on altering the 3-, 4- and 5-substituents of the phenyl ring. A linear approximation allows the encompassing of a whole set of modifications in a single simulation, as opposed to a full perturbation calculation, which requires a separate simulation for each modification. In the case considered here, the proposed technique requires a factor of 1000 less computing effort than a full free energy perturbation calculation. For the linear approximation to yield a significant result, one has to find ways of choosing the perturbation evolution, such that the initial trend mirrors the full calculation. The generation of new atoms requires a careful treatment of the singular terms in the non-bonded interaction. The result can be represented by maps of the changed molecule, which indicate whether complex formation is favoured under movement of partial charges and change in atom polarizabilities. Comparison with experimental measurements of inhibition constants reveals fair agreement in the range of values covered. However, detailed comparison fails to show a significant correlation. Possible reasons for the most pronounced deviations are given.

By exploiting the recent availability of the crystal structure of a cross-beta filament of the GNNQQNY peptide fragment of the yeast prion protein Sup35, possible factors affecting the twisting of beta-sheets structures have been analyzed. The advantage of this system is that it is composed entirely of beta-sheet and thus free of potential ambiguities present in systems studied previously. In the crystal the cross-beta filament consists of antiparallel beta-sheets formed by parallel and in register peptides lying perpendicular to the long axis of the filament. The results of a series of molecular dynamics simulations performed under different conditions indicate that in the absence of crystal packing interactions there is no free energy barrier against twisting for the cross-beta filament found planar in the crystal. More specifically, we find that there is only a small change in enthalpy (