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Free energy of helix propagation in short polyalanine chains determined from peptide growth simulations of La3+-binding model peptides. Comparison with experimental data.

Molecular dynamics (MD) is, at present, a unique tool making it possible to study, at the atomic level, conformational transitions in peptides and proteins. Nevertheless, because MD calculations are always based on a more or less approximate physical model, using a set of approximate parameters, their reliability must be tested by comparison with experimental data. Unfortunately, it is very difficult to find a peptide system in which conformational transitions can be studied both experimentally and using MD simulations so that a direct comparison of the results obtained in both ways could be made. Such a system, containing a rigid alpha-helix nucleus stabilized by La(3+) coordination to a 12-residue sequence taken from an EF-hand protein has recently been used to determine experimentally the helix propagation parameters in very short polyalanine segments (Goch et al. (2003) Biochemistry 42: 6840-6847). The same parameters were calculated here for the same peptide system using the peptide growth simulation method with, alternatively, charmm 22 and cedar potential energy functions. The calculated free energies of the helix-coil transition are about two times too large for cedar and even three times too large for charmm 22, as compared with the experimental values. We suggest that these discrepancies have their origin in the incorrect representation of unfolded peptide backbone in solution by the molecular mechanics force fields.

Amides↗

Bending of the calmodulin central helix: a theoretical study.

The crystal structure of calcium-calmodulin (CaM) reveals a protein with a typical dumbbell structure. Various spectroscopic studies have suggested that the central linker region of CaM, which is alpha-helical in the crystal structure, is flexible in solution. In particular, NMR studies have indicated the presence of a flexible backbone between residues Lys 77 and Asp 80. This flexibility is related directly to the function of the protein because it enables the N- and C-terminal domains of the protein to move toward each other and bind to the CaM-binding domain of a target protein. We have investigated the flexibility of the CaM central helix by a variety of computational techniques: molecular dynamics (MD) simulations, normal mode analysis (NMA), and essential dynamics (ED) analysis. Our MD results reproduce the experimentally determined location of the bend in a simulation of only the CaM central helix, indicating that the bending point is an intrinsic property of the alpha-helix, for which the remainder of the protein is not important. Interestingly, the modes found by the ED analysis of the MD trajectory are very similar to the lowest frequency modes from the NM analysis and to modes found by an ED analysis of different structures in a set of NMR structures. Electrostatic interactions involving residues Arg 74 and Asp 80 seem to be important for these bending motions and unfolding, which is in line with pH-dependent NMR and CD studies.

Amino Acid Sequence↗

Study of conformational properties of a biologically active peptide of fibronectin by circular dichroism, NMR and molecular dynamics simulation.

Circular dichroism (CD), and NMR spectra have been recorded and molecular dynamics (MD) simulations have been performed in water and water-trifluoroethanol (TFE) mixed solvent for a synthetic biologically active 13-amino-acid fragment of human fibronectin and two related peptides. The CD results are interpreted on the basis of statistical analyses of MD trajectories and of ensuing calculations of CD spectra based on Schellman's matrix method. It is observed that the peptide conformation is quite variable in water and loses its mobility with the addition of TFE. (1)H-NOE data were found to be consistent with the most abundant calculated conformation.

Circular Dichroism↗

Disintegration mechanisms of charged aqueous nanodroplets studied by simulations and analytical models.

The mechanism of fragmentation processes in aqueous nanodroplets charged with ions is studied by molecular dynamics (MD) simulations. By using constant-temperature MD, the evaporation of the water is naturally taken into account and sequences of ion fragmentation events are observed. The size of the critical radius of the charged droplet just before the fragmentation and the distribution of the sizes of the fragments are estimated. Comparison of the Rayleigh critical radius for fragmentation and simulation data is within 0.23 nm. This seemingly small difference arises from a large difference in the number of water molecules that makes fragmentation an activated process as in the ion evaporation mechanism (IEM). This finding is in agreement with the predictions of Labowsky et al. [Anal. Chim. Acta 2000, 406, 105-118] for charged aqueous drops. The size of the daughter droplets is larger than the prediction of Born's theory by 0.1 to 0.15 nm. The nature and the dynamics of the intermediate states of the fragmentation process characterized by a bridge formed between the mother droplet and the evaporating ion or thorned structures where the ion sits on the tip are important for the outcome of the size-distribution of the fragments, while they are is missing in Born's theory.

Journal Article↗

Atomistic simulations of langmuir monolayer collapse.

Monolayers at the vapor/water interface collapse by exploring the third dimension at sufficient lateral compression, either by forming three-dimensional structures or by solubilization into the aqueous solution. In this paper, we provide an atomistic description of collapse from molecular dynamics (MD) simulations. More specifically, we investigate monolayers of arachidic acids spread on pure water and in an aqueous solution with Ca2+ ions in the subphase. In both cases, it is found that the collapsed systems generally lead to the formation of multilayer structures, which in the system with Ca2+ ions, proceeds by an intermediate regime where the monolayer exhibits significant roughness (of the order of 4 A). If no roughness is present, the system forms collapsed structures into the aqueous solution. The computational cost of atomic MD limits our simulations to relatively small system sizes, fast compression rates, and temporal scales on the order of a nanosecond. We discuss the issues caused by these limitations and present a detailed discussion of how the collapse regime proceeds at long time scales. We conclude with a summary of the implications of our results for further theoretical and experimental studies.

Journal Article↗

Fragmentation study of peptides using Fourier transform ion cyclotron resonance with infrared multiphoton dissociation: experiment and simulation.

In this study, the fragmentation of gas-phase protonated Angiotensin II is investigated using electrospray ionization (ESI), Fourier-transform ion cyclotron resonance (FT-ICR), and mass spectrometry (MS) with a laser cleavage infrared multiphoton dissociation (IRMPD) technique. The experimental results show that the spectra peaks for the photoproducts are y2/b6- and y7-type ions, corresponding to the cleavage of His-Pro and Asp-Arg in the parent amino acid sequence. The fragmentation of the peptide under collision-free vacuum conditions is modeled using molecular dynamics simulations (MD). The binding energy for the peptide bonds (C'-N bond) of Angiotensin II is estimated from ab initio calculations. The calculations are directed at predicting experimental measurements of the product ions from the photodissociation of the peptide. The product distributions simulated by the MD dissociation trajectories include predominantly y7/b1 and y2/b6 pair ions.

Angiotensin II↗

Evaluating the molecular mechanics poisson-boltzmann surface area free energy method using a congeneric series of ligands to p38 MAP kinase.

The recently described molecular mechanics Poisson-Boltzmann surface area (MM-PBSA) method for calculating free energies is applied to a congeneric series of 16 ligands to p38 MAP kinase whose binding constants span approximately 2 orders of magnitude. These compounds have previously been used to test and compare other free energy calculation methods, including thermodynamic integration (TI), OWFEG, ChemScore, PLPScore, and Dock Energy Score. We find that the MM-PBSA performs relatively poorly for this set of ligands, yielding results much inferior to those from TI or OWFEG, inferior to Dock Energy Score, and not appreciably better than ChemScore or PLPScore but at an appreciably larger computational cost than any of these other methods. This suggests that one should be selective in applying the MM-PBSA method and that for systems that are amenable to other free energy approaches, these other approaches may be preferred. We also examine the single simulation approximation for MM-PBSA, whereby the required ligand and protein trajectories are extracted from a single MD simulation rather than two separate MD runs. This assumption, sometimes used to speed the MM-PBSA calculation, is found to yield significantly inferior results with only a moderate net percentage reduction in total simulation time.

Binding Sites↗

An improved nucleic acid parameter set for the GROMOS force field.

Over the past decades, the GROMOS force field for biomolecular simulation has primarily been developed for performing molecular dynamics (MD) simulations of polypeptides and, to a lesser extent, sugars. When applied to DNA, the 43A1 and 45A3 parameter sets of the years 1996 and 2001 produced rather flexible double-helical structures, in which the Watson-Crick hydrogen-bonding content was more limited than expected. To improve on the currently available parameter sets, the nucleotide backbone torsional-angle parameters and the charge distribution of the nucleotide bases are reconsidered based on quantum-chemical data. The new 45A4 parameter set resulting from this refinement appears to perform well in terms of reproducing solution NMR data and canonical hydrogen bonding. The deviation between simulated and experimental observables is now of the same order of magnitude as the uncertainty in the experimental values themselves.

Algorithms↗

Effect of solvation on pinched cone-pinched cone interconversion of tetraethoxycalix[4]arene and tetraethoxythiacalix[4]arene.

The pinched cone-pinched cone interconversion (PCI) of tetraethoxy substituted calix[4]arene and thiacalix[4]arene was studied by means of molecular dynamics using the GAFF force field and quantum mechanics. Influence of solvent was expressed by changes in cavity geometries as well as in free energy barriers that were calculated using constrained MD simulations. Water and chloroform were found to reduce the energy barriers in comparison with vacuum simulations. Only qualitative agreement between energy barriers calculated by MD and experimental values was achieved. Also, quantum chemical calculations were performed with the RI-MP2 method, and a better description of PCI was achieved than that previously obtained by HF or DFT methods. The combination of qualitative MD data on solvated systems with RI-MP2 gas-phase data gave us very good agreement with experimental results.

Calixarenes↗

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.

Computer Simulation↗

Exploring the capabilities of X-ray absorption spectroscopy for determining the structure of electrolyte solutions: computed spectra for Cr(3+) or Rh(3+) in water based on molecular dynamics.

Extended X-ray absorption fine structure (EXAFS) spectra of Cr(3+) and Rh(3+) in aqueous solution are analyzed and compared with computed spectra derived from structural results obtained by molecular dynamics (MD) simulation. This procedure quantifies the reliability of the EXAFS structural determination when applied to ions in solution. It provides guidelines for interpreting experimental spectra of octahedrally coordinated metal cations in aqueous solution. A set of relationships among Debye-Waller factors is proposed on the basis of MD results to reduce the number of independent fit parameters. The determination of the second hydration shell is examined. Calculated XANES spectra compare well with experimental ones. Indeed, the splitting observed on the main peak of the Rh K-edge was anticipated by the calculations. Simulated spectra from MD structures of increasing cluster size show a relationship between the second hydration shell and features of the XANES region at energies just above the edge. The combination of quantum and statistical calculations with the XANES spectrum is found to be very fruitful to get insight into the quantitative estimation of structural properties of electrolyte solutions.

Journal Article↗

Ab initio molecular dynamics simulation of NO reactivity on the CaO(001) surface.

Ab initio molecular dynamics (MD) is used to investigate NO reaction processes on the (001) surface of CaO. A novel path is proposed for the first steps of nitrogen oxides reactivity catalyzed by the CaO surface. The mechanism consists of the formation of anionic dimers, adsorbing on the surface cations, at the expense of oxidized NO species adsorbed on surface anions. The complete charge-transfer process takes place in two steps, producing first monovalent anionic dimers (NO)2- and, later on, divalent anionic dimers (NO)2(2-). These redox processes cause spin quenching and are observed in the short time scale of the ab initio MD simulation at 300 K. The results presented provide a rationalization of a recent electron spin resonance (ESR) investigation indicating that the spectroscopy is silent to most of the nitrogen oxide species adsorbed on CaO powders, despite deposition of paramagnetic NO molecules at room temperature.

Journal Article↗

Molecular dynamics simulations of charged and neutral lipid bilayers: treatment of electrostatic interactions.

Molecular dynamics (MD) simulations complement experimental methods in studies of the structure and dynamics of lipid bilayers. The choice of algorithms employed in this computational method represents a trade-off between the accuracy and real calculation time. The largest portion of the simulation time is devoted to calculation of long-range electrostatic interactions. To speed-up evaluation of these interactions, various approximations have been used. The most common ones are the truncation of long-range interactions with the use of cut-offs, and the particle-mesh Ewald (PME) method. In this study, several multi-nanosecond cut-off and PME simulations were performed to establish the influence of the simulation protocol on the bilayer properties. Two bilayers were used. One consisted of neutral phosphatidylcholine molecules. The other was a mixed lipid bilayer consisting of neutral phosphatidylethanolamine and negatively charged phosphatidylglycerol molecules. The study shows that the cut-off simulation of a bilayer containing charge molecules generates artefacts; in particular the mobility and order of the charged molecules are vastly different from those determined experimentally. In the PME simulation, the bilayer properties are in general agreement with experimental data. The cut-off simulation of bilayers containing only uncharged molecules does not generate artefacts, nevertheless, the PME simulation gives generally better agreement with experimental data.

Algorithms↗

Molecular dynamics simulations of B '-DNA: sequence effects on A-tract-induced bending and flexibility.

Molecular dynamics (MD) simulations including water and counterions are reported on five examples of A-tract DNA oligonucleotide dodecamer duplexes for which crystal structures are available, the homopolymeric duplex sequences poly(dA) and poly(dG), and two related sequences that serve as controls. MD was performed using the AMBER suite of programs for 3 ns on each sequence. These results, combined with previously reported MDs on 25-mer and 30-mer oligonucleotides on sequences with phased A-tracts carried out under a similar simulation protocol, are used to examine salient issues in the structural chemistry of ApA steps and A-tract induced axis bending. MD modeling successfully describes the distinctive B' structure of A-tracts in solution as essentially straight (wedge angles of <1 degrees ), more rigid than generic B-form DNA, with slight base-pair inclination, high propeller twist and a minor groove narrowing 5' to 3'. The MD structures in solution agree closely with corresponding crystal structures, supporting the idea that crystal structures provide a good model for A-tract DNA structure in solution. From the collective MD results, bending and flexibility are calculated by step. Pyrimidine-purine steps are predicted to be most intrinsically bent and also most bendable, i.e. susceptible to bending. Pyrimidine-pyrimidine ( approximately purine-purine) and purine-pyrimidine steps show less intrinsic deformation and deformability. The MD calculated flexibility correlates well with the protein-induced bendability derived independently from the protein DNA crystal structures. The MD results indicate that bending and flexibility of base-pair steps in DNA are highly correlated, i.e. steps that exhibit the most intrinsic deformation from B-form DNA turn are also the most dynamically deformable. The MD description of A-tract-induced axis bending shows most consistency with the non A-tract, general-sequence model, in which the sequence curvature originates primarily in base-pair roll towards the major groove in non-A-tract regions of the sequence, particularly pyrimidine-purine steps. The direction of curvature is towards the minor groove viewed from opposite the A-tracts, but the A-tracts per se exhibit only minor deformation. The MD results are found to be consistent with the directionality of bending inferred for DNA sequences from gel retardation and cyclization experiments.

Base Pairing↗

Force field validation for nucleic acid simulations: comparing energies and dynamics of a DNA dodecamer.

Important questions exist regarding the quality of force fields used in molecular dynamics (MD) simulations and their interoperable use with other available MD implementations. NAMD is one of the most efficient and scalable parallel molecular dynamics codes for large-scale biomolecular simulations in the open source domain. It is the aim of this article to analyze and compare the dynamics of a benchmark DNA dodecamer d(CTTTTGCAAAAG)2 system, including its binding to a specific drug molecule arising from the use of various simulation protocols in NAMD using Amber98, with the dynamics arising from simulations of the same dodecamer using Amber98 in the AMBER package, one of the most well-established simulation codes for nucleic acids. Based upon a set of validation benchmarks, the details of which are discussed, we find that nucleic acid simulations using NAMD give meaningful results and that the essential features of the resulting dynamics are similar to those arising from the AMBER package. This sets the stage for reliable large-scale simulations of nucleic acids using NAMD.

Computer Simulation↗

Atomic-level simulations of seeman DNA nanostructures: the paranemic crossover in salt solution.

We use molecular dynamics (MD) simulations to understand the structure and stability of various paranemic crossover (PX) DNA molecules, synthesized recently by Seeman and co-workers at New York University. These studies include all atoms of the PX structures with an explicit description of solvent and ions. The average dynamics structures over the last 1 ns of the 3-ns simulation preserve the Watson-Crick hydrogen bonding as well as the helical structure. The root mean-square deviation in coordinates with respect to the MD averaged structure converges to 2-3 A for PX55, PX65, and PX85, but for PX75 and PX95 the root mean-square deviation in coordinates exhibits large fluctuations, indicating an intrinsic instability. The PX structures are structurally more rigid compared to the canonical B-DNA without crossover. We have developed a strain energy analysis method based on the nearest-neighbor interaction and computed the strain energy for the PX molecules compared to the B-DNA molecules of the same length and sequence. PX65 has the lowest calculated strain energy (approximately -0.77 kcal/mol/bp), and the strain increases dramatically for PX75, PX85, and PX95. PX55 has the highest strain energy (approximately 1.85 kcal/mol/bp) making it unstable, which is in accordance with the experimental results. We find that PX65 has helical twist and other helical structural parameters close to the values for normal B-DNA of similar length and sequence. Vibrational mode analysis shows that compared to other PX motifs, PX65 has the smallest population of the low-frequency modes that are dominant contributors for the conformational entropy of the PX DNA structures. All these results indicate that PX65 is structurally more stable compared to other PX motifs, in agreement with experiments. These results should aid in designing optimized DNA structures for use in nanoscale components and devices.

Computer Simulation↗

An efficient molecular dynamics simulation method for calculating the diffusion-influenced reaction rates.

We present a molecular dynamics (MD) simulation method for calculating the diffusion-influenced reaction rates in the limit of low reactant concentrations. To calculate the reaction rate coefficient, we use MD trajectories of a nonreactive equilibrium system that are initiated with a pair of reactant molecules in reactive configuration. Hence reaction systems involving complicated reactant molecules with geometrically restricted reactivities can be treated with comparable efficiency as the simple hard-sphere reaction system. Compared to the similar MD method proposed by Van Beijeren, Dong, and Bocquet [J. Chem. Phys. 114, 6265 (2001)], the present method has a couple of advantages. First, reactions involving more general sink functions can be treated. Second, more accurate results can be obtained when the reaction probability upon collision is less than unity. As an application, we investigate the effects of nondiffusive dynamics and hydrodynamic interaction of reactants on the reaction rate.

Journal Article↗

Construction by molecular dynamics modeling and simulations of the porous structures formed by dextran polymer chains attached on the surface of the pores of a base matrix: characterization of porous structures.

Significant increases in the separation of bioactive molecules by using ion-exchange chromatography are realized by utilizing porous adsorbent particles in which the affinity group/ligand is linked to the base matrix of the porous particle via a polymeric extender. To study and understand the behavior of such systems, the M3B model is modified and used in molecular dynamics (MD) simulation studies to construct porous dextran layers on the surface of a base matrix, where the dextran polymer chains and the surface are covered by water. Two different porous polymer layers having 25 and 40 monomers per main polymer chain of dextran, respectively, are constructed, and their three-dimensional (3D) porous structures are characterized with respect to porosity, pore size distribution, and number of conducting pathways along the direction of net transport. It is found that the more desirable practical implications with respect to structural properties exhibited by the porous polymer layer having 40 monomers per main polymer chain, are mainly due to the higher flexibility of the polymer chains of this system, especially in the upper region of the porous structure. The characterization and analysis of the porous structures have suggested a useful definition for the physical meaning and implications of the pore connectivity of a real porous medium that is significantly different than the artificial physical meaning associated with the pore connectivity parameter employed in pore network models and whose physical limitations are discussed; furthermore, the methodology developed for the characterization of the three-dimensional structures of real porous media could be used to analyze the experimental data obtained from high-resolution noninvasive three-dimensional methods like high-resolution optical microscopy. The MD modeling and simulations methodology presented here could be used, considering that the type and size of affinity group/ligand as well as the size of the biomolecule to be adsorbed onto the affinity group/ligand are known, to construct different porous dextran layers by varying the length of the polymeric chain of dextran, the number of attachment points to the base matrix, the degree of side branching, and the number of main polymeric chains immobilized per unit surface area of base matrix. After the characterization of the porous structures of the different porous dextran layers is performed, then only a few promising structures would be selected for studying the immobilization of adsorption sites on the pore surfaces and the subsequent adsorption of the bioactive molecules onto the immobilized affinity groups/ligands.

Adsorption↗