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PubMed2004

Potential energy constrained molecular dynamics simulations.

A method for carrying out molecular dynamics simulations in which the potential energy U of the molecular system is constrained at its initial value is developed and thoroughly tested. The constraint is not introduced within the framework of the Lagrange multipliers technique, rather it is fulfilled in a natural way by carrying out the simulations in terms of suitable sets of delocalized coordinates. Such coordinates are defined by an appropriate tuning of the Baker, Kessi, and Delley internal delocalized nonredundant coordinates technique [J. Chem. Phys. 105, 192 (1996)]. The proposed method requires multiple evaluations of energy and gradients in each step of the molecular dynamics simulation, so that constant U simulations suffer some overhead compared to ordinary simulations. But the particular formulation of the delocalized coordinates and of the equations of motion greatly simplifies all the various steps required by the Baker's technique, thus allowing for the efficient implementation of the method itself. The technique is reliable and allows for very high accuracy in the potential energy conservation during the whole simulation. Moreover, it proved to be free of drift troubles which can occur when standard constraint methods are straightforwardly implemented without the application of appropriate correcting techniques.

Journal Article↗
PubMed2004

Refinement of homology-based protein structures by molecular dynamics simulation techniques.

The use of classical molecular dynamics simulations, performed in explicit water, for the refinement of structural models of proteins generated ab initio or based on homology has been investigated. The study involved a test set of 15 proteins that were previously used by Baker and coworkers to assess the efficiency of the ROSETTA method for ab initio protein structure prediction. For each protein, four models generated using the ROSETTA procedure were simulated for periods of between 5 and 400 nsec in explicit solvent, under identical conditions. In addition, the experimentally determined structure and the experimentally derived structure in which the side chains of all residues had been deleted and then regenerated using the WHATIF program were simulated and used as controls. A significant improvement in the deviation of the model structures from the experimentally determined structures was observed in several cases. In addition, it was found that in certain cases in which the experimental structure deviated rapidly from the initial structure in the simulations, indicating internal strain, the structures were more stable after regenerating the side-chain positions. Overall, the results indicate that molecular dynamics simulations on a tens to hundreds of nanoseconds time scale are useful for the refinement of homology or ab initio models of small to medium-size proteins.

Algorithms↗
PubMed1994

Molecular dynamics simulations of phospholipid bilayers.

Molecular dynamics (MD) simulations at 37 degrees C have been performed on three phospholipid bilayer systems composed of the lipids DLPE, DOPE, and DOPC. The model used included 24 explicit lipid molecules and explicit waters of solvation in the polar head group regions, together with constant-pressure periodic boundary conditions in three dimensions. Using this model, a MD simulation samples part of an infinite planar lipid bilayer. The lipid dynamics and packing behavior were characterized. Furthermore, using the results of the simulations, a number of diverse properties including bilayer structural parameters, hydrocarbon chain order parameters, dihedral conformations, electron density profile, hydration per lipid, and water distribution along the bilayer normal were calculated. Many of these properties are available for the three lipid systems chosen, making them well suited for evaluating the model and protocols used in these simulations by direct comparisons with experimental data. The calculated MD behavior, chain disorder, and lipid packing parameter, i.e. the ratio of the effective areas of hydrocarbon tails and head group per lipid (a(t)/ah), correctly predict the aggregation preferences of the three lipids observed experimentally at 37 degrees C, namely: a gel bilayer for DLPE, a hexagonal tube for DOPE, and a liquid crystalline bilayer for DOPC. In addition, the model and conditions used in the MD simulations led to good agreement of the calculated properties of the bilayers with available experimental results, demonstrating the reliability of the simulations. The effects of the cis unsaturation in the hydrocarbon chains of DOPE and DOPC, compared to the fully saturated one in DLPE, as well as the effects of the different polar head groups of PC and PE with the same unsaturated chains on the lipid packing and bilayer structure have been investigated. The results of these studies indicate the ability of MD methods to provide molecular-level insights into the structure and dynamics of lipid assemblies.

Algorithms↗
PubMed2000

Molecular dynamics simulation of nucleic acids.

We review molecular dynamics simulations of nucleic acids, including those completed from 1995 to 2000, with a focus on the applications and results rather than the methods. After the introduction, which discusses recent advances in the simulation of nucleic acids in solution, we describe force fields for nucleic acids and then provide a detailed summary of the published literature. We emphasize simulations of small nucleic acids ( approximately 6 to 24 mer) in explicit solvent with counterions, using reliable force fields and modern simulation protocols that properly represent the long-range electrostatic interactions. We also provide some limited discussion of simulation in the absence of explicit solvent. Absent from this discussion are results from simulations of protein-nucleic acid complexes and modified DNA analogs. Highlights from the molecular dynamics simulation are the spontaneous observation of A B transitions in duplex DNA in response to the environment, specific ion binding and hydration, and reliable representation of protein-nucleic acid interactions. We close by examining major issues and the future promise for these methods.

Base Sequence↗
PubMed2004

Molecular alignment in a liquid induced by a nonresonant laser field: Molecular dynamics simulation.

We carried out molecular dynamics (MD) simulations for a dilute aqueous solution of pyrimidine in order to investigate the mechanisms of field-induced molecular alignment in a liquid phase. An anisotopically polarizable molecule can be aligned in a liquid phase by the interaction with a nonresonant intense laser field. We derived the effective forces induced by a nonresonant field on the basis of the concept of the average of the total potential over one optical cycle. The results of MD simulations show that a pyrimidine molecule is aligned in an aqueous solution by a linearly polarized field of light intensity I approximately 10(13) W/cm2 and wavelength lambda = 800 nm. The temporal behavior of field-induced alignment is adequately reproduced by the solution of the Fokker-Planck equation for a model system in which environmental fluctuations are represented by Gaussian white noise. From this analysis, we have revealed that the time required for alignment in a liquid phase is in the order of the reciprocals of rotational diffusion coefficients of a solute molecule. The degree of alignment is determined by the anisotropy of the polarizability of a molecule, light intensity, and temperature. We also discuss differences between the mechanisms of optical alignment in a gas phase and a liquid phase.

Journal Article↗
PubMed1995

Structure, thermodynamics and cooperativity of the glucocorticoid receptor DNA-binding domain in complex with different response elements. Molecular dynamics simulation and free energy perturbation studies.

Molecular dynamics simulations and free energy perturbation calculations have been performed on the glucocorticoid receptor DNA-binding domain (GRDBD) in complex with three different half-site response elements (RE). These are the glucocorticoid receptor RE (GREH), the estrogen receptor RE (EREH) and an "intermediate" RE (GRE2H), where the base-pair 6A.T in GREH has been replaced by 6G.C. The molecular dynamics/free energy perturbation calculations reveal the same order of stability of the three complexes, i.e. GREH-GRDBD > GRE2H-GRDBD > EREH-GRDBD, as found experimentally, with reasonable quantitative agreement of the relative stabilities with the experiments. The more favourable entropy in associating GRDBD to GREH than to GRE2H could be explained by the additional non-polar surface that is removed from the solvent in the former complex formation. Part of this additional surface originates from the 6T methyl group in GREH. Sequence-dependent hydration patterns of the DNA major groove, which is interrupted by the GRDBD binding, could also contribute to the relatively more favourable entropy in forming GREH-GRDBD than GRE2H-GRDBD. The tenfold reduced cooperativity in the dimeric GRDBD binding to a partially palindromic ERE (palERE) compared to palGRE/GRE2 could be attributed to conformational changes in the residues of the "D-box" (Cys476 to Cys482) observed in the molecular dynamics simulations of EREH-GRDBD, but not in the other two complexes. Moreover, the conformations of the base-pairs at positions 5 and 6 are distorted (compared to free B-DNA) in GREH and GRE2H, due to the binding of GRDBD. Since the corresponding conformational distortions were not found in EREH-GRDBD, it is plausible that the distortions mediate cooperative binding through a propagation of the distortions to the other half site, thus facilitating binding of the second GRDBD.

Amino Acid Sequence↗
PubMed2003

Plausible interaction of an alpha-fetoprotein cyclopeptide with the G-protein-coupled receptor model GPR30: docking study by molecular dynamics simulated annealing.

In this manuscript, the procedure of molecular dynamics simulated annealing is applied to locate a probable receptor and binding site of a cyclicpeptide that inhibits estrogen-stimulated proliferation of breast cancer. The hydrophilic cyclopeptide EMTOVNOGQ (O = 4-hydroxyproline), derived from alpha-fetoprotein, is an inhibitor of estrogen-stimulated proliferation of human breast cancer. This peptide has been shown to act through a mechanism different from that of estrogen; however, its receptor is unknown. We report computer experiments that suggest that this peptide may execute its actions by interacting with GPR30, a G-protein-coupled receptor. The subject of this work is the simulation, by molecular dynamics simulated annealing, of the interaction of cyclopeptide EMTOVNOGQ with receptor GPR30 protein. A conformational analysis of the cyclopeptide was undertaken and the final structure was docked on several sites of the GPR30 3D model. Our results show that the cyclopeptide interacts on the pocket located between TM6 and TM7 transmembrane helices of the G-protein, triggering a slight conformational change in the secondary structure of the receptor in the complex. Based on differences in accessible surface areas between GPR30 and its ligand, the residues in the interaction zone were identified. The cyclopeptide is stabilized in the active site by forming a network of hydrogen bonds between Glu, Thr, (1)Pro(OH) and GLn residues of the ligand and Arg-259, Cys-271, Asn-316, Asn-320 and Tyr-324 of the G-protein. Moreover, the study of the electrostatic surface potential on the GPR30 receptor shows that the active site is more positively charged than the other sites. Our modeling indicates a plausible interaction of the cyclopeptide with the seven transmembrane GPR30 protein. This may have profound implications for the treatment of breast cancer.

Amino Acid Sequence↗
PubMed2002

Contribution of energy values to the analysis of global searching molecular dynamics simulations of transmembrane helical bundles.

Molecular interactions between transmembrane alpha-helices can be explored using global searching molecular dynamics simulations (GSMDS), a method that produces a group of probable low energy structures. We have shown previously that the correct model in various homooligomers is always located at the bottom of one of various possible energy basins. Unfortunately, the correct model is not necessarily the one with the lowest energy according to the computational protocol, which has resulted in overlooking of this parameter in favor of experimental data. In an attempt to use energetic considerations in the aforementioned analysis, we used global searching molecular dynamics simulations on three homooligomers of different sizes, the structures of which are known. As expected, our results show that even when the conformational space searched includes the correct structure, taking together simulations using both left and right handedness, the correct model does not necessarily have the lowest energy. However, for the models derived from the simulation that uses the correct handedness, the lowest energy model is always at, or very close to, the correct orientation. We hypothesize that this should also be true when simulations are performed using homologous sequences, and consequently lowest energy models with the right handedness should produce a cluster around a certain orientation. In contrast, using the wrong handedness the lowest energy structures for each sequence should appear at many different orientations. The rationale behind this is that, although more than one energy basin may exist, basins that do not contain the correct model will shift or disappear because they will be destabilized by at least one conservative (i.e. silent) mutation, whereas the basin containing the correct model will remain. This not only allows one to point to the possible handedness of the bundle, but can be used to overcome ambiguities arising from the use of homologous sequences in the analysis of global searching molecular dynamics simulations. In addition, because clustering of lowest energy models arising from homologous sequences only happens when the estimation of the helix tilt is correct, it may provide a validation for the helix tilt estimate.

Amino Acid Sequence↗
PubMed2001

Direct comparison of experimental and calculated folding free energies for hydrophobic deletion mutants of chymotrypsin inhibitor 2: free energy perturbation calculations using transition and denatured states from molecular dynamics simulations of unfolding.

Previous molecular dynamics (MD) simulations of thermal denaturation of chymotrypsin inhibitor 2 (CI2) have provided transition-state models in good agreement with experiment. Unfortunately, however, the comparisons have been necessarily indirect. The simulations have provided detailed structural information but not energetics, while from experiment, structure is inferred from a ratio of free energy changes upon mutation (Phi values). Here, direct comparison with experimental free energies is obtained by performing free energy perturbation calculations of hydrophobic deletion mutants of CI2 using transition- and denatured-state structures from various denaturation MD simulations. The agreement between the calculated and experimental DeltaDeltaG and Phi values is quite good (R = 0.8-0.9). In addition, given the availability of realistic atomic models for the denatured protein, the common approach of using small peptides to represent the denatured state in stability calculations can now be evaluated. To this end, two different extended tripeptide models were used: one using the sequence from the protein with the residue to be mutated in the center and the other with this residue surrounded by Ala residues. The results for the two peptides agree neither with one another nor with the different full-length denatured-state models, which do provide results in good agreement with experiment. This finding is noteworthy because the denatured state of CI2 is very disrupted with little residual structure, such that the peptides might have been expected to serve as reasonable models. Overall the calculations presented here validate our previous MD-generated transition- and denatured-state models and therefore the simulated unfolding pathways and their relevance to refolding.

Alanine↗
PubMed1998

Molecular dynamics simulations of biomembrane models.

A molecular force field dedicated to molecular dynamics simulation of biomembranes was developed. It was parameterized on model compounds related to phospholipids and was able to reproduce at the same time structures, energies, and vibrational spectra. Cross terms in the potential energy function were introduced by solving the redundancy problem among internal coordinates. This force field was used in the 400-ps molecular dynamics simulation of a hydrated bilayer in the gel and liquid crystal phases. The conformational properties of the polar head groups were in particular agreement with the experimental observations using Raman scattering.

Gels↗
PubMed2000

Hydration of beta-cyclodextrin: a molecular dynamics simulation study.

We study by molecular dynamics simulations the hydration of beta-cyclodextrin. Our simulations show that within these barrel-shaped molecules hydrophobicity dominates, while at the top and bottom sides of the barrel interactions with water are mostly hydrophilic in nature. These results agree with crystallographic data at 120 K and, in particular, with the spontaneous hydration process of a cyclodextrin crystal in wet atmosphere. The predicted structure of the hydration shells is discussed and compared with previous molecular mechanics calculations which report an overall hydrophobic behavior. Moreover, the temperature dependence of the hydration process is discussed.

Crystallography↗
PubMed2004

Non-polar interactions between cholesterol and phospholipids: a molecular dynamics simulation study.

A 15-ns molecular dynamics simulation of the fully hydrated dimyristoylphosphatidylcholine-cholesterol (DMPC-Chol) bilayer containing approximately 22 mol% Chol was carried out. An 8-ns trajectory was analysed to investigate the effect of Chol on the chain packing in the bilayer core. While the packing of DMPC chains on the smooth alpha-face side of the Chol ring is similar to that in the pure DMPC bilayer, the packing on the rough beta-face side is less regular and less tight. Two methyl groups located on the Chol beta-face disturb the packing; in effect, van der Waals (vdW) interactions between Chol rings and DMPC chains are weaker than the ones between sole DMPC chains. VdW interactions between an alkyl chain of DMPC and an isooctyl tail of Chol are similarly strong as those between two DMPC chains.

Carbon↗
PubMed2005

Membrane electroporation: a molecular dynamics simulation.

We present results of molecular dynamics simulations of lipid bilayers under a high transverse electrical field aimed at investigating their electroporation. Several systems are studied, namely 1), a bare bilayer, 2), a bilayer containing a peptide nanotube channel, and 3), a system with a peripheral DNA double strand. In all systems, the applied transmembrane electric fields (0.5 V.nm(-1) and 1.0 V.nm(-1)) induce an electroporation of the lipid bilayer manifested by the formation of water wires and water channels across the membrane. The internal structures of the peptide nanotube assembly and that of the DNA strand are hardly modified under field. For system 2, no perturbation of the membrane is witnessed at the vicinity of the channel, which indicates that the interactions of the peptide with the nearby lipids stabilize the bilayer. For system 3, the DNA strand migrates to the interior of the membrane only after electroporation. Interestingly enough, switching of the external transmembrane potential in cases 1 and 2 for few nanoseconds is enough to allow for complete resealing and reconstitution of the bilayer. We provide evidence that the electric field induces a significant lateral stress on the bilayer, manifested by surface tensions of magnitudes in the order of 1 mN.m(-1). This study is believed to capture the essence of several dynamical phenomena observed experimentally and provides a framework for further developments and for new applications.

1,2-Dipalmitoylphosphatidylcholine↗
PubMed2005

The molecular basis of resilience to the effect of the Lys103Asn mutation in non-nucleoside HIV-1 reverse transcriptase inhibitors studied by targeted molecular dynamics simulations.

A series of targeted molecular dynamics simulations have been carried out in an attempt to assess the effect that the common Lys103Asn mutation in HIV-1 reverse transcriptase (RT) has on the binding of three representative non-nucleoside RT inhibitors (NNRTI), nevirapine, efavirenz, and etravirine. We have shown previously that, in the absence of an incoming inhibitor, creation of the NNRTI binding pocket is hampered due to the existence of a hydrogen bond between the side chains of Asn103 and Tyr188 for which no equivalent exists in the wild-type enzyme. As an extension of this work, we now apply the same methodology to drive the enzyme's conformation from the unbound state to the drug-bound state in the presence of the NNRTI. The location of each drug outside the binding pocket was determined by an automated docking program, and steering into the binding pocket followed a route that is likely to represent the actual entrance pathway. The additional hurdle to inhibitor entry imposed by the extra Asn103-Tyr188 hydrogen bond is seen to affect each NNRTI differently, with the ability to disrupt this interaction increasing in the order etravirine >> efavirenz > or = nevirapine, in good accord with the experimental findings. This coherent picture strongly suggests that attempts to overcome resistance through structure-based drug design may be considerably more successful if dynamic structural aspects of the type studied here are considered, particularly in cases where binding energy-based structure-activity relationship methods are unable to provide the required information.

Alkynes↗
PubMed1997

Conformations, orientations and time scales characterising dimyristoylphosphatidylcholine bilayer membrane. Molecular dynamics simulation studies.

The results of molecular dynamics simulation of fully hydrated dimyristoylphosphatidylcholine (DMPC) bilayer membrane in the liquid-crystalline phase are presented. They show that the probability of a gauche conformation varies periodically along the chain with only a slight increase towards the end of the chain. However, the frequency of transition between conformations increases, due to a decrease in the lifetime of the trans conformation, along the chain. The average lifetimes for trans conformations are in the range of 1-2 x 10(-10) s and for gauche conformations in the range of 4-7 x 10(-11) s. The alpha-chain of the DMPC head group has mainly an extended conformation, due to predominantly trans conformation of alpha5 torsion. The rotational correlation time for the P-N vector is 3.7 ns. The C2-C1-O11-P fragment of the DMPC head group (theta1, alpha1, alpha2 torsions) is rigid while the P-O12-C11-C12 fragment (alpha3, alpha4, alpha5 torsions) is flexible. The lateral diffusion coefficient for DMPC self-diffusion in the membrane is 2 x 10(-7) cm2/s; the rate of transverse diffusion is the same. Large differences in the calculated rotational correlation times for the alpha-, beta-, gamma-chains and for the O21-C1 vector indicate that in the liquid-crystalline bilayer each segment of the DMPC molecule exhibits its own rotational freedom, in addition to its internal flexibility resulting from rotational isomerism. The results obtained in these calculations, although in general agreement with some experimental data, shed new light on the dynamical behaviour of phosphatidylcholine molecules in the bilayer membrane in the liquid-crystalline phase.

Dimyristoylphosphatidylcholine↗
PubMed2003

Molecular dynamics simulations on HIV-1 Tat.

Molecular dynamics simulations are used to investigate dynamics and intramolecular interactions of the HIV-1 transactivator (Tat) in aqueous solution. The calculations are based on the AMBER force field with particle mesh Ewald treatment for long-range electrostatics. The Tat structure exhibits a large flexibility, consistent with its absence of secondary structure elements. From an analysis of the correlation matrix and of electrostatic interactions we suggest that segments expressed by the two exons (amino acids 1-72 and 73-86, respectively) exhibit rather separated dynamic and energetic properties. We also identify intramolecular interactions of importance for structure stabilization. In particular, significant electrostatic interactions are recognized between the N-terminus and the basic domain of the protein, consistent with site-directed mutagenesis performed in this work.

Amino Acid Sequence↗
PubMed2004

Early chemistry in hot and dense nitromethane: molecular dynamics simulations.

We report density functional molecular dynamic simulations to determine the early chemical events of hot (T=3000 K) and dense (rho=1.97 g/cm(3), V/V(0)=0.68) nitromethane (CH(3)NO(2)). The first step in the decomposition process is an intermolecular proton abstraction mechanism that leads to the formation of CH(3)NO(2)H(+) and the aci ion H(2)CNO(2) (-). This event is also confirmed to occur in a fast annealing simulation to a final temperature of 4000 K at rho=2.20 g/cm(3). An intramolecular hydrogen transfer that transforms nitromethane into the aci acid form, CH(2)NO(2)H, accompanies this event. To our knowledge, this is the first confirmation of chemical reactivity with bond selectivity for an energetic material near the Chapman-Jouget state of the fully reacted material. We also report the decomposition mechanism followed up to the formation of H(2)O as the first stable product. We note that similarities in the global features of reactants, intermediates, and products of the reacting fluid seem to indicate a threshold for similar chemistry in the range of high densities and temperatures reported herein.

Journal Article↗