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Molecular dynamics simulations of native and substrate-bound lysozyme. A study of the average structures and atomic fluctuations.

Molecular dynamics simulations of hen egg-white lysozyme in the free and substrate-bound states are reported and the nature of the average structures and atomic fluctuations are analyzed. Crystallographic water molecules of structural importance, as determined by hydrogen-bonding, were included in the simulations. Comparisons are made between the dynamics and the X-ray results for the atomic positions, the main-chain and side-chain dihedral angles, and the hydrogen-bonding geometry. Improvements over earlier simulations in the potential energy function and methodology resulted in stable trajectories with the C alpha co-ordinates within 1.5 A of the starting X-ray structure. Structural features analyzed in the simulations agreed well with the X-ray results except for some surface residues. The Asx chi 2 dihedral distribution and the geometry of hydrogen bonding at reverse turns show differences; possible causes are discussed. The relation between the magnitudes and time-scales of the residue fluctuations and secondary structural features, such as helices beta-sheets and coiled loops, is examined. Significant differences in the residue mobilities between the simulations of the free and substrate-bound states were found in a region of the enzyme that is in direct contact with the substrate and in a region that is distant from the active-site cleft. The dynamic behavior of the structural water molecules is analyzed by examining the correlation between the fluctuations of the water oxygens and the lysozyme heavy-atoms to which they are hydrogen-bonded.

Animals

Molecular dynamics simulations of the unfolding of an alpha-helical analogue of ribonuclease A S-peptide in water.

Molecular dynamics simulations of the S-peptide analogue AETAAAKFLREHMDS have been conducted in aqueous solution for 300 ps at 278 K and for 500 ps in two different runs at 358 K. The results show agreement with experimental observations in that at low temperature, 5 degrees C, the helix is stable, while unfolding is observed at 85 degrees C. In the low-temperature simulation a solvent-separated ion pair was formed between Glu-2 and Arg-10, and the side chain of His-12 reoriented toward the C-terminal end of the alpha-helix. Detailed analyses of the unfolding pathways at high temperature have also revealed that the formation or disappearance of main-chain helical hydrogen bonds occurs frequently through an alpha in equilibrium with 3(10) in equilibrium with no hydrogen bond sequence.

Amino Acid Sequence

Differential helix propensity of small apolar side chains studied by molecular dynamics simulations.

A series of oligoalanine molecules with single amino acid replacements in the middle of the chain has been studied by molecular dynamics simulations. Differences in stability of the alpha-helix (as free energies delta delta G degrees) were estimated for the following series of residues: alpha-aminoisobutyric acid, alanine, alpha-amino-n-butyric acid, valine, glycine, D-alanine, t-leucine (= alpha-amino-beta,beta-dimethyl-n- butyric acid), and proline, arranged here in decreasing order of helix-forming potential. (The results for proline and valine had been reported earlier.) No experimental results were available for alpha-amino-n-butyric acid, D-alanine, and t-leucine at the time these calculations were done. The values of delta delta G degrees, including the three predictions, are in striking agreement with recent experimental results. A combination of free dynamics, dynamics with forced conformational change, and dynamics with forced molecular replacement was used. Conformational distributions were calculated for the peptide backbone of the dipeptides and, where appropriate, for the side chains of the dipeptide and the alpha-helix. The results demonstrate an unexpected level of accuracy for the all-atom model used to represent atomic interactions in the simulations. The simulations permit a detailed analysis of different factors responsible for conformational preferences and differences in stability. These conclusions drawn from this analysis agree with accepted qualitative explanations and allow these explanations to be quantitated to an extent not heretofore possible.

Alanine

Acid and thermal denaturation of barnase investigated by molecular dynamics simulations.

The transition in barnase from the native state to a partially unfolded conformation has been studied by molecular dynamics simulations with explicit water molecules at 360 K and low pH(450 ps), and at 600 K and neutral pH (three simulations of 120, 250 and 200 ps each). The use of several simulations provides evidence that the results are not sensitive to initial conditions. To mimic low pH conditions, the acidic sidechains in barnase were neutralized and the two histidine residues were doubly protonated. Runs at 300 K showed that the solvated structures at low pH (300 ps) and neutral pH (310 ps) are very similar. The main structural differences involved the acidic residues, histidine residues, and the beta-turn connecting strands 4 and 5. When the temperature is raised to 360 K at low pH and to 600 K at neutral pH the barnase molecule begins to unfold. The molecule rapidly expands (Rg changes from 13.9 A to 15.3 A in 450 ps at 360 K and from 13.7 A to between 15.1 and 15.5 A in 120 ps at 600 K). However, the expansion is not uniform. In all the simulations, the chain termini, loops and the N-terminal parts of the main alpha-helix (helix 1) show a continuous and progressive unfolding. An essential step in the denaturation process is that the major alpha-helix (helix 1) separates from the beta-sheet; this is coupled to the exposure of the principal hydrophobic core, many of whose non-polar side chains become solvated by hydrogen-bonded water molecules. The barnase-water interaction energy improves during unfolding at the expense of the barnase self-energy. The deterioration of the intramolecular van der Waals energy suggests that the rupture of the tight packing during the initial unfolding phase contributes to the energy barrier of the denaturation process. The mutationally well-analyzed Asp8-Arg110-Asp12 double salt-bridge on the barnase surface is found to be marginally stable in the folded form in the simulations. A Poisson-Boltzmann calculation indicates that the salt-bridge is unstable; this is probably due to an overestimate of the solvation energy. A detailed analysis of the main hydrophobic core reveals that increase in solvent-accessible surface area and penetration of water molecules are simultaneous in the high-temperature simulation; at lower temperatures there is significant cavity formation and the entrance of the water molecules is somewhat delayed. The cavities occur in the neighborhood of the hydrophobic sidechains; the region formed by the sidechains of Val10, Leu14, Leu20, Tyr24, Ala74, Ile76 and Tyr90 is involved. The loosening of the core packing is coupled to an increase in the number of dihedral transitions.(ABSTRACT TRUNCATED AT 400 WORDS)

Bacterial Proteins

Application of two-dimensional NMR spectroscopy and molecular dynamics simulations to the conformational analysis of oligosaccharides corresponding to the cell-wall polysaccharide of Streptococcus group A.

This paper describes the use of a protocol for conformational analysis of oligosaccharide structures related to the cell-wall polysaccharide of Streptococcus group A. The polysaccharide features a branched structure with an L-rhamnopyranose (Rhap) backbone consisting of alternating alpha-(1-->2) and alpha-(1-->3) links and D-N-acetylglucosamine (GlcpNAc) residues beta-(1-->3)-connected to alternating rhamnose rings: [formula: see text] Oligomers consisting of three to six residues have been synthesized and nuclear magnetic resonance (NMR) assignments have been made. The protocol for conformational analysis of the solution structure of these oligosaccharides involves experimental and theoretical methods. Two-dimensional NMR spectroscopy methods (TOCSY, ROESY and NOESY) are utilized to obtain chemical shift data and proton-proton distances. These distances are used as constraints in 100 ps molecular dynamics simulations in water using QUANTA and CHARMm. In addition, the dynamics simulations are performed without constraints. ROE build-up curves are computed from the averaged structures of the molecular dynamics simulations using the CROSREL program and compared with the experimental curves. Thus, a refinement of the initial structure may be obtained. The alpha-(1-->2) and the beta-(1-->3) links are unambiguously defined by the observed ROE cross peaks between the A-B',A'-B and C-B,C'-B' residues, respectively. The branch-point of the trisaccharide CBA' is conformationally well-defined. Assignment of the conformation of the B-A linkage (alpha-(1-->3)) was problematic due to TOCSY relay, but could be solved by NOESY and T-ROESY techniques. A conformational model for the polysaccharide is proposed.

Carbohydrate Conformation

A molecular dynamics simulation of double-helical B-DNA including counterions and water.

We present the results of an atomic level molecular dynamical simulation of a 5-base-pair fragment of double-helical DNA with inclusion of water and sodium counterions and a complete description of their electrostatic interactions. The shape of the double helix is preserved throughout the simulation, and the helix repeat is calculated to be 10.0, in reasonable agreement with experimental results. The most flexible conformational angles in the structure are the glycosidic angle and the sugar pucker.

Computers

Molecular dynamics simulations of alcohol dehydrogenase with a four- or five-coordinate catalytic zinc ion.

A detailed parameterization is presented of a zinc ion with one histidine and two cysteinate ligands, together with one or two water, hydroxide, aldehyde, alcohol, or alkoxide ligands. The parameterization is tailored for the active site of alcohol dehydrogenase and is obtained entirely from quantum chemical computations. The force-field reproduces excellently the geometry of quantum chemically optimized zinc complexes as well as the crystallographic geometry of the active site of alcohol dehydrogenase and small organic structures. The parameterization is used in molecular dynamics simulations and molecular mechanical energy minimizations of alcohol dehydrogenase with a four- or five-coordinate catalytic zinc ion. The active-site zinc ion seems to prefer four-coordination over five-coordination by at least 36 kJ/mol. The only stable binding site of a fifth ligand at the active-site zinc ion is opposite to the normal substrate site, in a narrow cavity behind the zinc ion. Only molecules of the size of water or smaller may occupy this site. There are large fluctuations in the geometry of the zinc coordination sphere. A four-coordinate water molecule alternates frequently (every 7 ps) between the substrate site and the fifth binding site and even two five-coordinate water molecules may interchange ligation sites without prior dissociation. Ligand exchange at the zinc ion probably proceeds by a dissociative mechanism.(ABSTRACT TRUNCATED AT 250 WORDS)

Alcohol Dehydrogenase

Solution structure studies of d(AC)4.d(GT)4 via restrained molecular dynamics simulations with NMR constraints derived from two-dimensional NOE and double-quantum-filtered COSY experiments.

The structure of d(AC)4.d(GT)4 is investigated by constrained molecular dynamics simulations. The constraints include proton pair distances derived from 2D NOE intensities by using the iterative relaxation matrix analysis algorithm MARDIGRAS and sugar pucker phases and amplitudes derived from double-quantum-filtered COSY spectra. Molecular dynamics runs on simulated intensity and distance sets as well as the experimental data were carried out to determine the effects of starting structure, distance constraint derivation, energy functions, and experimental errors on the end result. It was found that structural details could not be elucidated within about 1.5-A overall atomic deviation. This limitation is due in part to the accuracy of the experimental data but, more importantly, is attributable to the quantity of experimental constraints available and to imperfections in the force field utilized in the molecular dynamics calculations. Within the limits of the method, some structural characteristics of d(AC)4.d(GT)4 could be elucidated.

Computer Simulation

An NMR-based molecular dynamics simulation of the interaction of the lac repressor headpiece and its operator in aqueous solution.

The results of a 125 psec molecular dynamics simulation of a lac headpiece-operator complex in aqueous solution are reported. The complex satisfies essentially all experimental distance information derived from two-dimensional nuclear magnetic resonance (2-D-NMR) studies. The interaction between lac repressor headpiece and its operator is based on many direct- and water-mediated hydrogen bonds and nonpolar contacts which allow the formation of a tight complex. No stable hydrogen bonds between side chains and bases are found, while specific contacts occur between both nonpolar groups and, to a lesser extent, through water-mediated hydrogen bonds. The simulated complex structure in water is intrinsically stable without application of nuclear Overhauser effect (NOE) distance restraints, while being compatible with most of the available biochemical, genetic, and chemically induced dynamic nuclear polarization (CIDNP) data.

Binding Sites

Motion of aromatic side chains, picosecond fluorescence, and internal energy transfer in Escherichia coli thioredoxin studied by site-directed mutagenesis, time-resolved fluorescence spectroscopy, and molecular dynamics simulations.

We have determined the picosecond fluorescence of the four aromatic amino acid residues (W28, W31, Y49, and Y70) in wild-type Escherichia coli thioredoxin (wt Trx) and a mutant Trx with W31 replaced by phenylalanine, Trx-W28-W31F. The internal motions of the four aromatic side chains were also analyzed. We examined the possibility of using internal energy transfer from tyrosine to tryptophan as a measure of long-range distances. The major features of the lifetime distribution of tryptophan fluorescence were unchanged in the W31F mutation, indicating that the environment of W28 is similar in both wt Trx and Trx-W28-W31F. However, the mutation of W31F changed the mobility of W28, situated close to the active-site disulfide/dithiol, but not the mobility of two tyrosines, Y49 and Y70, situated on the other side of the molecule. The mobility of the two tyrosine residues increased upon reduction of the active-site disulfide, indicating a looser structure with reduction. This increased motion could also be seen from molecular dynamics simulations. The change in energy transfer rates, as judged by tyrosine fluorescence lifetimes, was in agreement with energy transfer rates calculated from the molecular dynamics simulations. The anisotropy of tryptophan and tyrosine fluorescence could be separated in three parts: (I) overall rotation of the protein (10(-9)s), (II) internal mobility of side chains (10(-10)s), and (III) a very fast relaxation (10(-12)s). We can only experimentally detect this very fast relaxation when the internal motion is not present.

Amino Acids

A molecular dynamics simulation of a polyamine-induced conformational change of DNA. A possible mechanism for the B to Z transition.

A 75ps molecular dynamics simulation has been performed on a fully solvated complex of spermine with the B DNA decamer (dGdC)5.(dGdC)5. The simulation indicates a possible mechanism by which polyamines might induce the formation of a left-handed helix, the B to Z transition. Spermine was initially located in the major groove, hydrogen bonded to the helix. During the simulation the ligand migrates deeper into the DNA, maintaining strong hydrogen bonding to the central guanine bases and destroying the Watson-Crick base pairing with their respective cytosines. Significant rotation of these and other cytosine bases was observed, in part due to interactions of the helix with the aminopropyl chains of spermine. An intermediate BII conformation might be of importance in this process.

Base Sequence

Molecular dynamics simulations of ribonuclease T1: analysis of the effect of solvent on the structure, fluctuations, and active site of the free enzyme.

Molecular dynamics simulations were performed on ribonuclease T1 (RNase T1; EC 3.1.27.3) to determine a structure for the free enzyme. Simulations starting with the X-ray coordinates for the 2'GMP-RNase T1 complex were done in vacuo and with an 18-A water ball around the active site using stochastic boundary conditions to understand the influence of water on both the structure and fluctuations of the enzyme. Removal of 2'GMP caused structural changes in the loop regions, including those directly interacting with the bound inhibitor in the crystal structure, while regions of secondary structure were less affected. The presence of solvent in the simulation damped the structural changes observed, which may be related to the use of full charges in both simulations. Fluctuations were also affected by the water, which generally increased both at the surface and in the interior of the protein. The active site in vacuo collapsed upon itself, forming a number of protein-protein hydrogen bonds leading to larger structural changes and lowered fluctuations while the presence of water kept the active site open, minimized structural changes, and increased fluctuations. Such fluctuations in the active site may be important for the binding of inhibitors or substrates to the enzyme. Lastly, results from the water simulation allow the prediction of a motion for a hypothetical tryptophan at position 45, which can ultimately be tested experimentally via time-resolved fluorescence using a site-specific mutant of the enzyme.

Aspergillus oryzae

A 500 ps molecular dynamics simulation study of interleukin-1 beta in water. Correlation with nuclear magnetic resonance spectroscopy and crystallography.

We report the results of a 500 ps molecular dynamics simulation of the cytokine interleukin-1 beta, a protein of 153 amino acids, immersed in a sphere of 3783 bulk water molecules with a radius of 33 A. The simulation reproduces the amplitudes of the fast librational motions of the backbone N-H bonds determined from 15N nuclear magnetic relaxation data, as well as the crystallographic B-factors. Moreover, this study suggests a molecular picture of the nature of the slow internal motions that have been inferred from nuclear magnetic resonance relaxation experiments. These experiments indicated that, in addition to fast motions common to all residues, 32 surface residues exhibit slow motions on the 400 ps to 5 ns time-scale. While the present simulation is not sufficiently long to provide a quantitative description of events on this time-scale, it is long enough to observe several large amplitude transitions that are likely candidates for these slow motions. Specifically, in many of these 32 residues, the N-H groups are hydrogen bonded and infrequent dihedral transitions cause the N-H vectors to jump between states with well-defined orientations. It is shown that the time course of the angular reorientational correlation functions of these residues calculated from the trajectory is a reflection of the random times at which these infrequent jumps happen to have occurred. Thus, while the rate of these transitions cannot be quantified, the simulated decay of these correlation functions is completely consistent with the physical picture in which the N-H vectors, in addition to fast librational motion, undergo large amplitude jumps between conformations stabilized by hydrogen bonds.

Computer Simulation

Exploring potential targets and molecular mechanisms of traumatic brain injury exacerbated by Benzo(a)pyrene via network toxicology and molecular dynamics simulation.

Benzo(a)pyrene (BaP) is a common environmental pollutant from combustion sources that promotes oxidative stress, neuroinflammation and disruption of blood-brain barrier (BBB). However, its contribution to worsening traumatic brain injury (TBI) remains unclear. In this study, we aimed to assess the contribution of BaP to secondary injury in TBI. By integrating data from e.g., the Comparative Toxicogenomics Database, GeneCards, and Online Mendelian Inheritance in Man, 121 overlapping core targets were identified between BaP and TBI. Enrichment analyses via Gene Ontology and Kyoto Encyclopedia of Genes and Genomes, combined with protein-protein interaction networks and topological algorithms (degree, closeness centrality, betweenness centrality, average shortest path length, topological coefficient and partner of multi-edged node pairs), highlighted five hub genes (TP53, EGFR, AKT1, ACTB, and TNF) implicated in mitogen-activated protein kinase signaling, oxidative stress, and neuroinflammation. Molecular docking showed strong binding affinities of BaP to these hub proteins, with energies from -9.3 to -12.1&#xa0;kcal/mol, tighter than co-crystal ligands and existing protein-binding drugs. Molecular dynamics simulations confirmed interaction stability through low root-mean-square deviation (<&#x2009;0.5&#xa0;nm), fluctuation, and radius of gyration values. Calculation of binding free energies using MM-PBSA validated the strong binding affinity between BaP and binding pockets of each hub genes. Toxicity prediction analysis revealed an oral LD50 of 316&#xa0;mg/kg for BaP, with high probabilities for neurotoxicity, BBB permeability, carcinogenicity, and mutagenicity, associated with aryl hydrocarbon receptor activation. These findings reveal a "neurovascular homeostasis disruption" network underlying BaP-exacerbated TBI pathology and highlight potential targets to reduce pollution-related risks in TBI management.

Benzo(a)pyrene

Molecular dynamics simulation of E. coli ribonuclease H1 in solution: correlation with NMR and X-ray data and insights into biological function.

A 500 ps molecular dynamics simulation of Escherichia coli RNase H1 in the presence of explicit water molecules has been carried out to aid in the interpretation of NMR N-H backbone model free parameters and X-ray B-factor values of the free enzyme. Both experimental techniques have revealed unusual structural and dynamic features of the protein. Atomic fluctuations (B-factors) and re-orientational motions of the backbone heteronuclear bonds (order parameters) computed from the simulation are compared with results obtained from experiments. Qualitative agreement is obtained between the computed and X-ray B-factors, whereas the agreement between the computed and NMR generalized order parameters is as good as quantitative for most residues. Reasons for significant discrepancies, the physical basis and the plausible biological consequences of the observed protein dynamics are discussed.

Amino Acid Sequence

Molecular dynamics simulation of the solution structures of Ha-ras-p21 GDP and GTP complexes: flexibility, possible hinges, and levers of the conformational transition.

Unconstrained molecular dynamics simulations of the GDP and GTP complexes of Ha-ras p21 protein are performed in aqueous environment for 500 ps, using the GROMOS force field. The solvated structures are mutually compared as well as to the X-ray structures [Tong, L. A., de Vos, A. M., Milburn, M. V., & Kim, S. H. (1991) J. Mol. Biol. 217, 503-516; Pai, E. F., Krengel, U., Petsko, G. A., Goody, R. S., Kabsh, W., & Wittinghofer, A. (1990) EMBO J. 9, 2351-2359]. The simulations show areas of flexibility, with deviations from the original structures. The parts that show differences between the two solvated forms are those from residues 12 to 17, 25 to 38, 41 to 51, 57 to 73, 99 to 112, and 120 to 152, coincident with areas of flexibility. Some of these areas also show differences between the X-ray structures and are part of loops on the surface of the protein. Many of the residues in the ends of these loops undergo dihedral transitions during the solvation process. Of all the dihedral transitions observed, 62% occur around the ends of these loops. This suggests that the ends of the areas from 12 to 17, 25 to 38, and 57 to 73 are the hinge points of the conformational transition between the GTP and the GDP forms. The study of the nucleotide interactions in the solution forms shows that residues 29, 30, and 35 establish contacts with the gamma-phosphate and the sugar ring of the GTP and thus these contacts could be proposed as the possible levers of the conformational transition that accompanies GTP hydrolysis.

Amino Acid Sequence

Jumping frequencies in membrane channels. Comparison between stochastic molecular dynamics simulation and rate theory.

Permeation of molecules through membrane channels involves local interactions with a limited number of ligand groups. A method for the molecular dynamics simulation of particle movement in small ligand systems is described. It is assumed that the ligand groups carry out thermal vibrations, whereas the rest of the channel molecule and the surroundings act as a heat bath which is coupled via random forces to the motions of the ligands. The simulation technique is applied to a simple system which contains some of the essential features influencing jumping rates in membrane channels, such as flexibility of ligand configuration or inertial effects in the motion of the ligands. Since the simulation is based on strictly microscopic parameters of the particle-ligand system, a rigorous test of the predictions of rate theory is possible. It is found that rate theory describes the general dependence of jumping frequency k' on temperature and on ligand binding strength rather well, although the values of k' obtained by computer simulation are 2-3 times smaller than those predicted by rate theory.

Biological Transport, Active

Molecular dynamics simulation of the docking of substrates to proteins.

A simple method is described to perform docking of substrates to proteins or probes to receptor molecules by a modification of molecular dynamics simulations. The method consists of a separation of the center-of-mass motion of the substrate from its internal and rotational motions, and a separate coupling to different thermal baths for both types of motion of the substrate and for the motion of the receptor. Thus the temperatures and the time constants of coupling to the baths can be arbitrarily varied for these three types of motion, allowing either a frozen or a flexible receptor and allowing control of search rate without disturbance of internal structure. In addition, an extra repulsive term between substrate and protein was applied to smooth the interaction. The method was applied to a model substrate docking onto a model surface, and to the docking of phosphocholine onto immunoglobulin McPC603, in both cases with a frozen receptor. Using translational temperatures of the substrate in the range of 1300-1700 K and room temperature for the internal degrees of freedom of the substrate, an efficient nontrapping exploratory search ("helicopter view") is obtained which visits the correct binding sites. Low energy conformations can then be further investigated by separate search or by dynamic simulated annealing. In both cases the correct minima were identified. The possibility to work with flexible receptors is discussed.

Antibodies