Conformation and dynamics of the three-helix bundle UBA domain of p62 from experiment and simulation

The ubiquitin associated domain of p62 is a small three-helix bundle of approximately 50 residues that mediates the recognition of polyubiquitin chains and ubiquitylated substrates. The solution structure of a 52 residue construct containing this domain has been characterized using heteronuclear nuclear magnetic resonance (NMR) methods. The resulting ensemble of NMR-derived structures was used in molecular dynamics (MD) simulations to investigate the equilibrium conformation and dynamics of this domain. NOE and (15)N relaxation data have been used to validate the structural ensemble produced by the MD simulations and show a good correlation for residues in regions of secondary structure. A similar approach was taken using an ensemble of structures from the MD simulations to calculate electronic circular dichroism (CD) and IR spectra from first principles with an encouraging correlation with the experimental CD and IR data.     

A short guide for molecular dynamics simulations of RNA systems

As a result of important methodological advances and of the rapid growth of experimental data, the number of molecular dynamics (MD) simulations related to RNA systems has significantly increased. However, such MD simulations are not straightforward and great care has to be exerted during the setup stage in order to choose the appropriate MD package, force fields and ionic conditions. Furthermore, the choice and a correct evaluation of the main characteristics of the starting structure are primordial for the generation of informative and reliable MD trajectories since experimental structures are not void of inaccuracies and errors. The aim of this review is to provide, through numerous examples, practical guidelines for the setup of MD simulations, the choice of ionic conditions and the detection and correction of experimental inaccuracies in order to start MD simulations of nucleic acid systems under the best auspices.     

Molecular dynamics simulation of proteins under high pressure: Structure,function and thermodynamics

BackgroundMolecular dynamics (MD) simulation is well-recognized as a powerful tool to investigate protein structure, function, and thermodynamics. MD simulation is also used to investigate high pressure effects on proteins. For conducting better MD simulation under high pressure, the main issues to be addressed are: (i) protein force fields and water models were originally developed to reproduce experimental properties obtained at ambient pressure; and (ii) the timescale to observe the pressure effect is often much longer than that of conventional MD simulations.Scope of reviewFirst, we describe recent developments in MD simulation methodologies for studying the high-pressure structure and dynamics of protein molecules. These developments include force fields for proteins and water molecules, and enhanced simulation techniques. Then, we summarize recent studies of MD simulations of proteins in water under high pressure.Major conclusionsRecent MD simulations of proteins in solution under pressure have reproduced various phenomena identified by experiments using high pressure, such as hydration, water penetration, conformational change, helix stabilization, and molecular stiffening.General significanceMD simulations demonstrate differences in the properties of proteins and water molecules between ambient and high-pressure conditions. Comparing the results obtained by MD calculations with those obtained experimentally could reveal the mechanism by which biological molecular machines work well in collaboration with water molecules.     

Successful molecular dynamics simulation of two zinc complexes bridged by a hydroxide in phosphotriesterase using the cationic dummy atom method

I report herein two 2.0 ns (1.0 fs time step) MD simulations of two zinc complexes bridged by a hydroxide in phosphotriesterase (PTE) employing the nonbonded method and the cationic dummy atom method that uses virtual atoms to impose orientational requirement for zinc ligands. The cationic dummy atom method was able to simulate the four-ligand coordination of the two zinc complexes in PTE. The distance (3.39 +/- 0.07A) between two nearby zinc ions in the time-average structure of PTE derived from the MD simulation using the cationic dummy atoms matched that in the X-ray structure (3.31 +/- 0.001A). Unequivocally, the time-average structure of PTE was able to fit into the experimentally determined difference electron density map of the corresponding X-ray structure. The results demonstrate the practicality of the cationic dummy atom method for MD simulations of zinc proteins bound with multiple zinc ions. In contrast, a 2.0 ns (1.0 fs time step) MD simulation using the nonbonded method revealed a striking difference in the active site between the X-ray structure and the time-average structure that was unable to fit into the density map of PTE. The results suggest that caution should be used in the MD simulations using the nonbonded method.     

Anisotropic atomic motions in high-resolution protein crystallography molecular dynamics simulations

Molecular dynamics (MD) simulations using empirical force fields are popular for the study of proteins. In this work, we compare anisotropic atomic fluctuations in nanosecond-timescale MD simulations with those observed in an ultra-high-resolution crystal structure of crambin. In order to make our comparisons, we have developed a compact graphical technique for assessing agreement between spatial atomic distributions determined by MD simulations and observed anisotropic temperature factors.     

Long time dynamics of Met-enkephalin: comparison of explicit and implicit solvent models

Met-enkephalin is one of the smallest opiate peptides. Yet, its dynamical structure and receptor docking mechanism are still not well understood. The conformational dynamics of this neuron peptide in liquid water are studied here by using all-atom molecular dynamics (MD) and implicit water Langevin dynamics (LD) simulations with AMBER potential functions and the three-site transferable intermolecular potential (TIP3P) model for water. To achieve the same simulation length in physical time, the full MD simulations require 200 times as much CPU time as the implicit water LD simulations. The solvent hydrophobicity and dielectric behavior are treated in the implicit solvent LD simulations by using a macroscopic solvation potential, a single dielectric constant, and atomic friction coefficients computed using the accessible surface area method with the TIP3P model water viscosity as determined here from MD simulations for pure TIP3P water. Both the local and the global dynamics obtained from the implicit solvent LD simulations agree very well with those from the explicit solvent MD simulations. The simulations provide insights into the conformational restrictions that are associated with the bioactivity of the opiate peptide dermorphin for the delta-receptor.     

Refinement of protein structure homology models via long, all-atom molecular dynamics simulations

Accurate computational prediction of protein structure represents a longstanding challenge in molecular biology and structure-based drug design. Although homology modeling techniques are widely used to produce low-resolution models, refining these models to high resolution has proven difficult. With long enough simulations and sufficiently accurate force fields, molecular dynamics (MD) simulations should in principle allow such refinement, but efforts to refine homology models using MD have for the most part yielded disappointing results. It has thus far been unclear whether MD-based refinement is limited primarily by accessible simulation timescales, force field accuracy, or both. Here, we examine MD as a technique for homology model refinement using all-atom simulations, each at least 100 μs long-more than 100 times longer than previous refinement simulations-and a physics-based force field that was recently shown to successfully fold a structurally diverse set of fast-folding proteins. In MD simulations of 24 proteins chosen from the refinement category of recent Critical Assessment of Structure Prediction (CASP) experiments, we find that in most cases, simulations initiated from homology models drift away from the native structure. Comparison with simulations initiated from the native structure suggests that force field accuracy is the primary factor limiting MD-based refinement. This problem can be mitigated to some extent by restricting sampling to the neighborhood of the initial model, leading to structural improvement that, while limited, is roughly comparable to the leading alternative methods.     

Molecular dynamics of a DNA Holliday junction: the inverted repeat sequence d(CCGGTACCGG)₄

All-atom molecular dynamics (MD) computer simulations have been applied successfully to duplex DNA structures in solution for some years and found to give close accord with observed results. However, the MD force fields have generally not been parameterized against unusual DNA structures, and their use to obtain dynamical models for this class of systems needs to be independently validated. The four-way junction (4WJ), or Holliday junction, is a dynamic DNA structure involved in central cellular processes of homologous replication and double strand break repair. Two conformations are observed in solution: a planar open-X form (OPN) with a mobile center and four duplex arms, and an immobile stacked-X (STX) form with two continuous strands and two crossover strands, stabilized by high salt conditions. To characterize the accuracy of MD modeling on 4WJ, we report a set of explicit solvent MD simulations of ～100 ns on the repeat sequence d(CCGGTACCGG)₄ starting from the STX structure (PDB code 1dcw), and an OPN structure built for the same sequence. All 4WJ MD simulations converged to a stable STX structure in close accord with the crystal structure. Our MD beginning in the OPN form converts to the STX form spontaneously at both high and low salt conditions, providing a model for the conformational transition. Thus, these simulations provide a successful account of the dynamical structure of the STX form of d(CCGGTACCGG)₄ in solution, and provide new, to our knowledge, information on the conformational stability of the junction and distribution of counterions in the junction interior.     

A coupling of homology modeling with multiple molecular dynamics simulation for identifying representative conformation of GPCR structures: a case study on human bombesin receptor subtype-3

In this study, a computational pipeline was therefore devised to overcome homology modeling (HM) bottlenecks. The coupling of HM with molecular dynamics (MD) simulation is useful in that it tackles the sampling deficiency of dynamics simulations by providing good-quality initial guesses for the native structure. Indeed, HM also relaxes the severe requirement of force fields to explore the huge conformational space of protein structures. In this study, the interaction between the human bombesin receptor subtype-3 and MK-5046 was investigated integrating HM, molecular docking, and MD simulations. To improve conformational sampling in typical MD simulations of GPCRs, as in other biomolecules, multiple trajectories with different initial conditions can be employed rather than a single long trajectory. Multiple MD simulations of human bombesin receptor subtype-3 with different initial atomic velocities are applied to sample conformations in the vicinity of the structure generated by HM. The backbone atom conformational space distribution of replicates is analyzed employing principal components analysis. As a result, the averages of structural and dynamic properties over the twenty-one trajectories differ significantly from those obtained from individual trajectories.     

Molecular dynamics study of the energetic, mechanistic, and structural implications of a closed phosphate tube in ncd

The switch 1 region of myosin forms a lid over the nucleotide phosphates as part of a structure known as the phosphate-tube. The homologous region in kinesin-family motors is more open, not interacting with the nucleotide. We used molecular dynamics (MD) simulations to examine a possible displacement of switch 1 of the microtubule motor, ncd, from the open conformation to the closed conformation seen in myosin. MD simulations were done of both the open and the closed conformations, with either MgADP or MgATP at the active site. All MD structures were stable at 300 K for 500 ps, implying that the open and closed conformers all represented local minima on a global free energy surface. Free energy calculations indicated that the open structure was energetically favored with MgADP at the active site, suggesting why only the open structure has been captured in crystallographic work. With MgATP, the closed and open structures had roughly equal energies. Simulated annealing MD showed the transformation from the closed phosphate-tube ncd structure to an open configuration. The MD simulations also showed that the coordination of switch 1 to the nucleotide dramatically affected the position of both the bound nucleotide and switch 2 and that a closed phosphate-tube may be necessary for catalysis.     

Structure and axis curvature in two dA6 x dT6 DNA oligonucleotides: comparison of molecular dynamics simulations with results from crystallography and NMR spectroscopy

Molecular dynamics (MD) simulations have been performed on the A6 containing DNA dodecamers d(GGCAAAAAACGG) solved by NMR and d(CGCAAAAAAGCG) solved by crystallography. The experimental structures differ in the direction of axis bending and in other small but important aspects relevant to the DNA curvature problem. Five nanosecond MD simulations of each sequence have been performed, beginning with both the NMR and crystal forms as well as canonical B-form DNA. The results show that all simulations converge to a common form in close proximity to the observed NMR structure, indicating that the structure obtained in the crystal is likely a strained form due to packing effects. A-tracts in the MD model are essentially straight. The origin of axis curvature is found at pyrimidine-purine steps in the flanking sequences.     

Molecular dynamics simulations of the d(CCAACGTTGG)(2) decamer: influence of the crystal environment

Molecular dynamics (MD) simulations of the DNA duplex d(CCAACGTTGG)(2) were used to study the relationship between DNA sequence and structure. Two crystal simulations were carried out; one consisted of one unit cell containing two duplexes, and the other of two unit cells containing four duplexes. Two solution simulations were also carried out, one starting from canonical B-DNA and the other starting from the crystal structure. For many helicoidal parameters, the results from the crystal and solution simulations were essentially identical. However, for other parameters, in particular, alpha, gamma, delta, (epsilon - zeta), phase, and helical twist, differences between crystal and solution simulations were apparent. Notably, during crystal simulations, values of helical twist remained comparable to those in the crystal structure, to include the sequence-dependent differences among base steps, in which values ranged from 20 degrees to 50 degrees per base step. However, in the solution simulations, not only did the average values of helical twist decrease to approximately 30 degrees per base step, but every base step was approximately 30 degrees, suggesting that the sequence-dependent information may be lost. This study reveals that MD simulations of the crystal environment complement solution simulations in validating the applicability of MD to the analysis of DNA structure.     

Axis Curvature and Ligand Induced Bending in the CAP-DNA Oligomers

The origin of DNA axis curvature in complexes of the catabolite activator protein with DNA is studied using multiple molecular dynamics (MD) simulations of the free and protein-bound forms of the DNA. The results are compared to available solution and crystal structure data. The MD simulations reproduce the experimentally observed bend in DNA and indicate that ∼40% of the bending observed in the complex is intrinsic to the DNA sequence, whereas ∼60% is induced on protein binding. The MD provides a model for the dynamical structure of the DNA free in solution and for ligand-induced bending.     

Molecular dynamic simulations of environment and sequence dependent DNA conformations: the development of the BMS nucleic acid force field and comparison with experimental results

Molecular dynamic (MD) simulations using the BMS nucleic acid force field produce environment and sequence dependent DNA conformations that closely mimic experimentally derived structures. The parameters were initially developed to reproduce the potential energy surface, as defined by quantum mechanics, for a set of small molecules that can be used as the building blocks for nucleic acid macromolecules (dimethyl phosphate, cyclopentane, tetrahydrofuran, etc.). Then the dihedral parameters were fine tuned using a series of condensed phase MD simulations of DNA and RNA (in zero added salt, 4M NaCl, and 75% ethanol solutions). In the tuning process the free energy surface for each dihedral was derived from the MD ensemble and fitted to the conformational distributions and populations observed in 87 A- and B-DNA x-ray and 17 B-DNA NMR structures. Over 41 nanoseconds of MD simulations are presented which demonstrate that the force field is capable of producing stable trajectories, in the correct environments, of A-DNA, double stranded A-form RNA, B-DNA, Z-DNA, and a netropsin-DNA complex that closely reproduce the experimentally determined and/or canonical DNA conformations. Frequently the MD averaged structure is closer to the experimentally determined structure than to the canonical DNA conformation. MD simulations of A- to B- and B- to A-DNA transitions are also shown. A-DNA simulations in a low salt environment cleanly convert into the B-DNA conformation and converge into the RMS space sampled by a low salt simulation of the same sequence starting from B-DNA. In MD simulations using the BMS force field the B-form of d(GGGCCC)2 in a 75% ethanol solution converts into the A-form. Using the same methodology, parameters, and conditions the A-form of d(AAATTT)2 correctly converts into the B-DNA conformation. These studies demonstrate that the force field is capable of reproducing both environment and sequence dependent DNA structures. The 41 nanoseconds (nsec) of MD simulations presented in this paper paint a global picture which suggests that the DNA structures observed in low salt solutions are largely due to the favorable internal energy brought about by the nearly uniform screening of the DNA electrostatics. While the conformations sampled in high salt or mixed solvent environments occur from selective and asymmetric screening of the phosphate groups and DNA grooves, respectively, brought about by sequence induced ion and solvent packing.     

Conformational interconversion in compstatin probed with molecular dynamics simulations

Compstatin is a 13-residue cyclic peptide that has the potential to become a therapeutic agent against unregulated complement activation. In our effort to understand the structural and dynamic characteristics of compstatin that form the basis for rational and combinatorial optimization of structure and activity, we performed 1-ns molecular dynamics (MD) simulations. We used as input in the MD simulations the ensemble of 21 lowest energy NMR structures, the average minimized structure, and a global optimization structure. At the end of the MD simulations we identified five conformations, with populations ranging between 9% and 44%. These conformations are as follows: 1) coil with alphaR-alphaR beta-turn, as was the conformation of the initial ensemble of NMR structures; 2) beta-hairpin with epsilon-alphaR beta-turn; 3) beta-hairpin with alphaR-alphaR beta-turn; 4) beta-hairpin with alphaR-beta beta-turn; and 5) alpha-helical. Conformational switch was possible with small amplitude backbone motions of the order of 0.1-0.4 A and free energy barrier crossing of 2-11 kcal/mol. All of the 21 MD structures corresponding to the NMR ensemble possessed a beta-turn, with 14 structures retaining the alphaR-alphaR beta-turn type, but the average minimized structure and the global optimization structures were converted to alpha-helical conformations. Overall, the MD simulations have aided to gain insight into the conformational space sampled by compstatin and have provided a measure of conformational interconversion. The calculated conformers will be useful as structural and possibly dynamic templates for optimization in the design of compstatin using structure-activity relations (SAR) or dynamics-activity relations (DAR).     

Observation of an A-DNA to B-DNA transition in a nonhelical nucleic acid hairpin molecule using molecular dynamics.

One of the truly challenging problems for molecular dynamics (MD) simulations is demonstrating that the trajectories can sample not only in the vicinity of an experimentally determined structure, but also that the trajectories can find the correct experimental structure starting from some other structure. Frequently these transitions to the correct structure require that the simulations overcome energetic barriers to conformational change. Here we present unrestrained molecular dynamics simulations of the DNA analogs of the RNA 5'-GGACUUCGGUCC-3' hairpin tetraloop. In one simulation we have used deoxyuracil residues, and in the other we have used the native DNA deoxythymine residues. We demonstrate that, on a nanosecond time scale, MD is able to simulate the transitions of both of the A-DNA stems to B-DNA stems within the constraints imposed by the four-base loop that caps the helix. These results suggest that we are now in a position to use MD to address the nature of sequence-dependent structural effects in nonduplex DNA structures.     

A statistical approach to the interpretation of molecular dynamics simulations of calmodulin equilibrium dynamics

A sample of 35 independent molecular dynamics (MD) simulations of calmodulin (CaM) equilibrium dynamics was prepared from different but equally plausible initial conditions (20 simulations of the wild-type protein and 15 simulations of the D129N mutant). CaM's radius of gyration and backbone mean-square fluctuations were analyzed for the effect of the D129N mutation, and simulations were compared with experiments. Statistical tests were employed for quantitative comparisons at the desired error level. The computational model predicted statistically significant compaction of CaM relative to the crystal structure, consistent with the results of small-angle X-ray scattering (SAXS) experiments. This effect was not observed in several previously reported studies of (Ca2+)(4)-CaM, which relied on a single MD run. In contrast to radius of gyration, backbone mean-square fluctuations showed a distinctly non-normal and positively skewed distribution for nearly all residues. Furthermore, the D129N mutation affected the backbone dynamics in a complex manner and reduced the mobility of Glu123, Met124, Ile125, Arg126, and Glu127 located in the adjacent alpha-helix G. The implications of these observations for the comparisons of MD simulations with experiments are discussed. The proposed approach may be useful in studies of protein equilibrium dynamics where MD simulations fall short of properly sampling the conformational space, and when the comparison with experiments is affected by the reproducibility of the computational model.     

Weight average approaches for predicting dynamical properties of biomolecules

Recent advances in atomistic molecular dynamics (MD) simulations of biomolecules allow us to explore their conformational spaces widely, observing large-scale conformational fluctuations or transitions between distinct structures. To reproduce or refine experimental data using MD simulations, structure ensembles, which are characterized by multiple structures and their statistical weights on the rugged free-energy landscapes, are often used. Here, we summarize weight average approaches for various experimental measurements. Weight average approaches are now applied to hybrid quantum mechanics/molecular mechanics MD simulations to predict fast vibrational motions in a protein with a high accuracy for better understanding of molecular functions from atomic structures.