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Development of softcore potential functions for overcoming steric barriers in molecular dynamics simulations.

In this work, we describe the development of softcore potential functions that permit occasional "tunneling" through the regions of conformational space during molecular dynamics (MD) simulations, which would otherwise be sterically prohibited. The modification consists of a truncation of the nonbonded interaction before the steeply repulsive region encountered at short interatomic distances. This modification affects both Lennard-Jones and Coulomb parts of the nonbonded potential. Critical to success is the choice of appropriate pairwise switching distances at which this modification should be made. In the present work, these are calculated based on potential of mean force functions extracted from model system molecular dynamics simulations. We believe that these functions describe the dynamic short-range interactions much better than mean force potentials derived from an ensemble of static structures (e.g. protein data bank (PDB)). Once a set of mean force potentials is obtained, a single empirical parameter, effective barrier height, is employed to determine switching distances for all pairwise atomic interactions. Changing this single parameter allows adjustment of the "softness" of the whole system. We tested the applicability of the new softcore potentials in a loop structure optimization study. The H1 loop in the antibody 17/9 was selected as our test case because substantial repacking of loop residues in the dense protein environment is necessary for successful relaxation of random initial conformations. Softcore simulations converted to correct loop conformations, in contrast to standard simulations which never sampled this structure even after 10 ns. The resulting root mean square deviation (RMSD) values (below 1.3 A for all heavy atoms of the loop) demonstrate the usefulness of the approach based on mean force derived softcore functions.

Amino Acids↗

Molecular dynamics investigation of membrane-bound bundles of the channel-forming transmembrane domain of viral protein U from the human immunodeficiency virus HIV-1.

Molecular dynamics (MD) simulations have been carried out on bundles of the channel-forming transmembrane (TM) domain of the viral protein U (VPU(1-27) and VPU(6-27)) from the human immunodeficiency virus (HIV-1). Simulations of hexameric and pentameric bundles of VPU(6-27) in an octane/water membrane mimetic system suggested that the pentamer is the preferred oligomer. Accordingly, an unconstrained pentameric helix bundle of VPU(1-27) was then placed in a hydrated palmitoyl-oleyl-3-n-glycero-phosphatidylethanolamine (POPE) lipid bilayer and its structural properties calculated from a 3-ns MD run. Some water molecules, initially inside the channel lumen, were expelled halfway through the simulation and the bundle adopted a conical structure reminiscent of previous MD results obtained for VPU(6-27) in an octane/water system. The pore constriction generated may correspond to a closed state of the channel and underlies the relocation of the W residue toward the pore lumen. The relative positions of the helices with respect to the bilayer and their interactions with the lipids are discussed. The observed structure is stabilized via specific interactions between the VPU helices and the carbonyl oxygen atoms of the lipid molecules, particularly at the Q and S residues.

Carbon↗

Correlative motions and memory effects in molecular dynamics simulations of molecules: principal components and rescaled range analysis suggest that the motions of native BPTI are more correlated than those of its mutants.

In this work MD simulations of the native bovine pancreatic trypsin inhibitor (BPTI) and 16 mutants were done in vacuum in order to study memory effects in the mutants using principal component analysis (PCA) and the rescaled range analysis (Hurst exponents). Both PCA and the rescaled range analysis support our previous proposition, based on PCA of lysozyme, that the motions of a native protein are more correlated than those of mutants. The methods are compared, the nature and applications of the rule and the role of the long-range correlations in MD time series (i.e. memory) are discussed in the context of collective motions.

Algorithms↗

Application of restrained minimization, simulated annealing and molecular dynamics simulations for the conformational analysis of oligosaccharides.

The purpose of the present study was to determine the confidence with which the small number of 1H NMR nuclear Overhauser effect (NOE) distance constraints measurable across glycosidic linkages in oligosaccharides could be used for solution conformational analysis. This was assessed by use of these constraints in restrained molecular mechanical minimization of the tetrasaccharide Gal beta 1----4(Fuc alpha 1----3)Glc-NAc beta 1----3Gal, a model compound of the Lewis-X antigenic determinant. This presents a particularly severe test case in view of extreme resonance overlap and a dearth of inter-residue distance constraints. It is concluded that these constraints, when used in conventional restrained minimization, result in the generation of 'virtual conformations' and local minima about glycosidic linkages. However, these restraints are nevertheless found to be useful in the initial stages of a conformational analysis strategy involving restrained minimization combined with dynamical simulated annealing to define more accurately the global minimum energy configuration, together with molecular dynamics simulation to explore conformational mobility about this minimum. Theoretical ROE values calculated over the time course of the MD simulation, using a formalism appropriate for the time scale of the internal motion, are compared with those obtained experimentally in the oligosaccharide.

Carbohydrate Conformation↗

Molecular dynamics of sickle and normal hemoglobins.

Molecular dynamics (MD) simulations have been carried out for 62.5 ps on crystal structures of deoxy sickle cell hemoglobin (HbS) and normal deoxy hemoglobin (HbA) using the CHARMM MD algorithm, with a time step of 0.001 ps. In the trajectory analysis of the 12.5-62.5 (50 ps) simulation, oscillations of the radius of gyration and solvent-accessible surface area were calculated. HbS exhibited a general contraction during the simulation, while HbA exhibited a nearly constant size. The average deviations of simulated structures from the starting structures were found to be 1.8 A for HbA and 2.3 A for HbS. The average rms amplitudes of atomic motions (atomic flexibility) were about 0.7 A HbA and about 1.0 A for HbS. The amplitudes of backbone motion correlate well with temperature factors derived from x-ray crystallography. A comparison of flexibility between the alpha- and beta-chains in both HbA and HbS indicates that the beta-chains generally exhibited greater flexibility than the alpha-chains, and that the HbS beta-chains exhibit greater flexibility in the N-terminal and D- and F-helix regions than do those of HbA. The average amplitude of backbone torsional oscillations was about 9 degrees, a value comparable with that of other simulations, with enhanced torsional oscillation occurring primarily at the ends of helices or in loop regions between helices. Comparison of atomic flexibility and torsional oscillation results suggests that the increased beta-chain flexibility results from relatively concerted motions of secondary structure elements. The increased flexibility may play an important role in HbS polymerization.(ABSTRACT TRUNCATED AT 250 WORDS)

Computer Simulation↗

Structure of aqueous glucose solutions as determined by neutron diffraction with isotopic substitution experiments and molecular dynamics calculations.

Neutron diffraction with isotopic substitution (NDIS) experiments and molecular dynamics (MD) simulations have been used to examine the structuring of solvent around d-glucose in aqueous solution. As expected, no significant tendency for glucose molecules to aggregate was found in either the experiments or the simulation. To the extent that solute pairing does occur as the result of the high concentration, it was found to take place through hydroxyl-hydroxyl hydrogen bonds, in competition with water molecules for the same hydrogen-bonding sites. A detailed analysis of the hydrogen-bonding patterns occurring in the simulations found that the sugar hydroxyl groups are more efficient hydrogen bond donors than acceptors. From the comparison of the MD and NDIS data, it was found that while the modeling generally does a satisfactory job in reproducing the experimental data the force fields may produce sugar rings that are too rigid and thus may require future revisions.

Computer Simulation↗

Molecular dynamics simulations of MRI-relevant GdIII chelates: direct access to outer-sphere relaxivity.

The structure and dynamics of the surrounding water were studied through molecular dynamics (MD) simulations for several GdIII polyaminocarboxylate and polyaminophosphonate complexes in aqueous solution. The radial distribution functions (rdf) show that a few water molecules are bonded to the ligand through hydrogen bonds to hydrophilic groups such as carboxylates and phosphonates. Residence times are of the order of 20-25 ps for the polyaminocarboxylate and 56ps for the polyaminophosphonate chelates. No preferred orientation or bonding of water molecules is observed in the hydrophobic region of the anisotropic macrocyclic complexes. Our rdf allow calculation of the outer-sphere contribution to the nuclear magnetic resonance dispersion (NMRD) profiles using Freed's finite differences method, including electronic relaxation. The results show that the commonly used analytical force-free model is only an empirical relationship. When experimental outer-sphere NMRD profiles are available ([Gd(teta)]- and [Gd(dotp)]5-(teta=N,N',N",N"'-tetracarboxymethyl-1,4,8,11- tetraazacyclotetradecane; dotp = N,N',N",N"'-tetraphosphonatomethyl-1,4,7,10-tetraazacyclododecane) the calculated curves are in good agreement. In the case of [Gd(teta)]-, the comparison with the experimental NMRD profile has led us to predict a very fast electronic relaxation, which has been confirmed by the EPR spectrum.

Amines↗

Refinement of X-ray data on dual cosubstrate specificity of CK2 kinase by free energy calculations based on molecular dynamics simulation.

Free energy differences of binding of adenosine triphosphate (ATP) and guanine triphosphate (GTP) to the protein kinase CK2 (casein kinase 2) were calculated, using molecular dynamics (MD) simulations and the thermodynamic cycle approach. Good agreement with experimental data was obtained. Simulations confirm observations based on crystallographic data that specifically interacting water molecules in the binding site region of CK2 kinase play a key role in its ability to use ATP or GTP as equally efficient phosphate donors. We point out that to obtain quantitatively reasonable results, it was necessary to modify original X-ray data by assuming the presence of an additional water molecule in the CK2 binding site structure with GTP.

Adenosine Triphosphate↗

Folding of alpha(r)beta and epsilonbeta reverse turns; a nanosecond molecular dynamics simulation of the hexapeptide MSALNT and the octapeptide NMSALNTL in water.

Folding of the hexapeptide MSALNT and the octapeptide NMSALNTL were investigated using 2.8 ns molecular dynamics (MD) simulations in aqueous solution. In the simulation, the central sequence SALN of the hexapeptide folded rapidly within 200 ps into an alpha(r)beta turn conformation (type VIII conformation) and remained in this conformation for the rest of the trajectory. The sequence SALN of the octapeptide needed 2 ns to fold via epsilonbeta conformations into a similar conformation. The results join the sequences into a growing group of sequences which have a tendency to form secondary structures and thereby to direct protein folding. The structures of the reverse turn conformations were in accordance with the experimental results (Hakalehto et al., Eur J. Biochem. 250, 19-29 (1997)). The main driving force of folding seems to be the hydrophobic interaction between the side chains of Ala and Leu at the i+1 and i+2 positions of the beta-turn.

Computer Simulation↗

Variability of conformations at crystal contacts in BPTI represent true low-energy structures: correspondence among lattice packing and molecular dynamics structures.

The structures of five basic pancreatic trypsin inhibitor (BPTI) molecules are compared to establish the extent and nature of the conformational variability resulting from crystal packing effects. BPTI is an ideal system to evaluate such factors because of the availability of high resolution X-ray models of five different BPTI structures, each in a different crystal packing environment. Differences observed among the structures are found to be distributed throughout the molecule, although the regions that display most variability are associated with the loop structures (residues 14-17 and 24-29). The regions of structure that show the largest rms deviations from the mean of the five packing motifs correlate well with the presence of intermolecular contacts in the crystal lattice. For most of the molecules there is also a correspondence between a larger number of intermolecular contacts and systematically higher B-factors, although it is not apparent whether this is induced by the crystal contact or results from the fact that the contacts are made predominantly through surface loops. The conformational differences seen among the X-ray models constitute more than local shifts at the lattice contact surfaces, and in fact involve in some cases the making and breaking of intramolecular H-bonds. The magnitudes of the differences among packing models are significantly larger than those usually associated with changes induced by mutagenesis; for instance; the structural differences at the site of mutation observed on removing an internal disulfide from the molecule are significantly less than those associated with lattice contact effects. The crystal packing conformations are compared to representative structures of BPTI generated during a 96-psec molecular dynamics (MD) simulation. This comparison shows a high level of correspondence between the protein flexibility indicated by the X-ray and MD analyses, and specifically between those regions that are most variable. This suggests that the regions that show most variability among the crystal packing models are not artifacts of crystallization, but rather represent true low-energy conformers that have been preferentially selected by crystallization factors.

Amino Acid Sequence↗

Combined procedure of distance geometry and restrained molecular dynamics techniques for protein structure determination from nuclear magnetic resonance data: application to the DNA binding domain of lac repressor from Escherichia coli.

The technique of two-dimensional nuclear magnetic resonance (2D-NMR) has recently assumed an active role in obtaining information on structures of polypeptides, small proteins, sugars, and DNA fragments in solution. In order to generate spatial structures from the atom-atom distance information obtained by the NMR method, different procedures have been developed. Here we introduce a combined procedure of distance geometry (DG) and molecular dynamics (MD) calculations for generating 3D structures that are consistent with the NMR data set and have reasonable internal energies. We report the application of the combined procedure on the lac repressor DNA binding domain (headpiece) using a set of 169 NOE and 17 "hydrogen bond" distance constraints. Eight of ten structures generated by the distance geometry algorithm were refined within 10 ps MD simulation time to structures with low internal energies that satisfied the distance constraints. Although the combination of DG and MD was designed to combine the good sampling properties of the DG algorithm with an efficient method of lowering the internal energy of the molecule, we found that the MD algorithm contributes significantly to the sampling as well.

Algorithms↗

Construct validity of the LapSim laparoscopic surgical simulator.

BACKGROUND: Computer-aided simulators may increase the safety and efficiency of training in laparoscopic surgery. Before implementation of the Immersion LapSim (Gaithersburg, MD) simulator in our training curriculum, we wished to determine its construct validity (ie, whether the simulator could differentiate laparoscopic novices from trainees with greater experience). METHODS: Subjects were medical students (MS), residents (RES), and laparoscopic faculty (FAC). Subjects performed 10 repetitions of 6 LapSim tasks. The LapSim measured performance in 6 to 10 parameters per task, and performance was compared between groups. Post hoc t tests were used to make pair-wise comparisons among the 3 groups using the Bonferroni technique. Statistical significance was set at P < .05. RESULTS: The degree of prior laparoscopic experience was reflected in performance on at least 1 parameter for each task. Several patterns of performance between MS, RES, and FAC were observed. CONCLUSIONS: The LapSim has performance parameters that reliably differentiate between subjects with varying laparoscopic experience. However, some performance parameters do not differentiate between groups. To accurately measure a trainee's skill level, only parameters that sensitively measure the true level of performance should be used.

Computer Simulation↗

Structural and dynamic effects of single 7-hydro-8-oxoguanine bases located in a frameshift target DNA sequence.

DNA 7-hydro-8-oxoguanine (8-oxoG) is implicated in frameshift formation in an G(6) sequence of the HPRT gene in mismatch repair (MMR) defective cells. Using oligonucleotides based on this frameshift hotspot, we investigated how a single 8-oxoG modified the structural and dynamic properties of the G(6) tract. A 30 ns molecular dynamics (MD) simulation indicated compression of the minor groove in the immediate vicinity of the lesion. Fluorescence polarization anisotropy (FPA) and MD demonstrated that 8-oxoG increases DNA torsional rigidity and also constrains the movement of the single-stranded region at the single/double stranded DNA junction of model DNA replication template/primer. These constraints influenced the efficiency of primer extension by Klenow (exo(-)) DNA polymerase.

Base Pair Mismatch↗

Relative energies of binding for antibody-carbohydrate-antigen complexes computed from free-energy simulations.

Free-energy perturbation (FEP) simulations have been applied to a series of analogues of the natural trisaccharide epitope of Salmonella serotype B bound to a fragment of the monoclonal anti-Salmonella antibody Se155-4. This system was selected in order to assess the ability of free-energy perturbation (FEP) simulations to predict carbohydrate-protein interaction energies. The ultimate goal is to use FEP simulations to aid in the design of synthetic high affinity ligands for carbohydrate-binding proteins. The molecular dynamics (MD) simulations were performed in the explicit presence of water molecules, at room temperature. The AMBER force field, with the GLYCAM parameter set for oligosaccharides, was employed. In contrast to many modeling protocols, FEP simulations are capable of including the effects of entropy, arising from differential ligand flexibilities and solvation properties. The experimental binding affinities are all close in value, resulting in small relative free energies of binding. Many of the DeltaDeltaG values are on the order of 0-1 kcal mol(-1), making their accurate calculation particularly challenging. The simulations were shown to reasonably reproduce the known geometries of the ligands and the ligand-protein complexes. A model for the conformational behavior of the unbound antigen is proposed that is consistent with the reported NMR data. The best agreement with experiment was obtained when histidine 97H was treated as fully protonated, for which the relative binding energies were predicted to well within 1 kcal mol(-1). To our knowledge this is the first report of FEP simulations applied to an oligosaccharide-protein complex.

Journal Article↗

Structure of liquid water at ambient temperature from ab initio molecular dynamics performed in the complete basis set limit.

Structural properties of liquid water at ambient temperature were studied using Car-Parrinello [Phys. Rev. Lett. 55, 2471 (1985)] ab initio molecular dynamics (CPAIMD) simulations combined with the Kohn-Sham (KS) density functional theory and the BLYP exchange-correlation functional for the electronic structure. Unlike other recent work on the same subject, where plane-wave (PW) or hybrid Gaussian/plane-wave basis sets were employed, in the present paper, a discrete variable representation (DVR) basis set is used to expand the KS orbitals, so that with the real-space grid adapted in the present work, the properties of liquid water could be obtained very near the complete basis set limit. Structural properties of liquid water were extracted from a 30 ps CPAIMD-BLYP/DVR trajectory at 300 K. The radial distribution functions (RDFs), spatial distribution functions, and hydrogen bond geometry obtained from the CPAIMD-BLYP/DVR simulation are generally in good agreement with the most up to date experimental measurements. Compared to recent ab initio MD simulations based on PW basis sets, less significant overstructuring was found in the RDFs and the distributions of hydrogen bond angles, suggesting that previous plane-wave and Gaussian basis set calculations have exaggerated the tendency toward overstructuring.

Journal Article↗

Analysis of structure-function relationships of neuropeptide Y using molecular dynamics simulations and pharmacological activity and binding measurements.

Studies on the structure-function relationship of neuropeptide Y (NPY) were undertaken using a combination of in vacuo molecular dynamics (MD) simulations and pharmacological receptor binding and biological activity measurements. Following a conformational search of NPY from which a theoretical structure was determined, a study of the structural and dynamic changes in the region of amino acids 25-36 was performed in a variety of NPY fragments and in the NPY free acid. Results revealed an increased structural change as the fragment size was decreased. Also, the mobility appears to be lowest in the full NPY vs the NPY fragments. Pharmacological measurements showed a decreased receptor binding and biological activity as fragment size decreased. Combination of the two approaches suggests a model where conformational maintenance and low configurational entropy of the 25-36 region of NPY favors both receptor binding and biological activity. Furthermore, the possibility of two receptor interaction modes is suggested. Analysis of the NPY structure suggests the direct importance of the amidated C-terminus, Gln34 and His26, an indirect importance of the Tyr1 sidechain as well as the potential importance of an apparent electric 'dipole' in NPY for receptor binding and biological activity.

Amino Acids↗

Molecular dynamics simulations of the mononuclear zinc-beta-lactamase from Bacillus cereus complexed with benzylpenicillin and a quantum chemical study of the reaction mechanism.

Herein, we present results from MD simulations of the Michaelis complex formed between the B. cereus zinc-beta-lactamase enzyme and benzylpenicillin. The structural and dynamical effects induced by substrate-binding, the specific role of the conserved residues, and the near attack conformers of the Michaelis complex are discussed. Quantum chemical methods (HF/6-31G* and B3LYP/6-31G*) are also applied to study the hydrolysis reaction of N-methylazetidinone catalyzed by a monozinc system consisting of the side chains of the histidine residues (His86, His88, and His149) complexed with Zn-OH and the side chains of Asp90 and His210. From this model system, we built molecular-mechanics representations of the prereactive complex and transition state configurations docked into the active site. Linear-scaling semiempirical calculations coupled with a continuum solvent model were then performed on these static models. We propose that the experimental rate data for the B. cereus enzyme is compatible with a one-step mechanism for the hydrolysis of beta-lactam substrates in which His210 acts as a proton donor.

Bacillus cereus↗

Full length Vpu from HIV-1: combining molecular dynamics simulations with NMR spectroscopy.

Based on structures made available by solution NMR, molecular models of the protein Vpu from HIV-1 were built and refined by 6 ns MD simulations in a fully hydrated lipid bilayer. Vpu is an 81 amino acid type I integral membrane protein encoded by the human immunodeficiency virus type-1 (HIV-1) and closely related simian immunodeficiency viruses (SIVs). Its role is to amplify viral release. Upon phosphorylation, the cytoplasmic domain adopts a more compact shape with helices 2 and 3 becoming almost parallel to each other. A loss of helicity for several residues belonging to the helices adjacent to both ends of the loop region containing serines 53 and 57 is observed. A fourth helix, present in one of the NMR-based structures of the cytoplasmic domain and located near the C-terminus, is lost upon phosphorylation.

Amino Acid Sequence↗