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  • 1
    Electronic Resource
    Electronic Resource
    Estimation of uncertainties in X-ray refinement results by use of perturbed structures (1987)
    New York, NY : Wiley-Blackwell
    Proteins: Structure, Function, and Genetics 2 (1987), S. 1-12 
    Details
    ISSN: 0887-3585
    Keywords: protein crystallography ; protein refinement ; empirical energy simulations ; error analysis ; Chemistry ; Biochemistry and Biotechnology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Medicine
    Notes: The uncertainties in the refined parameters for a 1.5-Å X-ray structure of carbon-monoxy (FeII) myoglobin are estimated by combining energy minimization with least-squares refinement against the X-ray data. The energy minimization, done without reference to the X-ray data, provide perturbed structures which are used to restart conventional X-ray refinement. The resulting refined structures have the same, or better, R-factor and stereochemical parameters as the original X-ray structure, but deviate from it by 0.13 Å rms for the backbone atoms and 0.31 Å rms for the sidechain atoms. Atoms interacting with a disordered sidechain, Arg 45 CD3, are observed to have larger positional uncertainties. The uncertainty in the B-factors, within the isotropic harmonic motion approximation, is estimated to be 15%. The resulting X-ray structures are more consistent with the energy parameters used in simulations.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prot.340020102
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  • 2
    Electronic Resource
    Electronic Resource
    Anisotropy and anharmonicity of atomic fluctuations in proteins: Analysis of a molecular dynamics simulation (1987)
    New York, NY : Wiley-Blackwell
    Proteins: Structure, Function, and Genetics 2 (1987), S. 236-259 
    Details
    ISSN: 0887-3585
    Keywords: atomic probability distributions of proteins ; anisotropy and anharmonicity of motions in proteins ; multiple occupancy of atomic positions in proteins ; molecular dynamics simulation ; lysozyme ; Chemistry ; Biochemistry and Biotechnology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Medicine
    Notes: Positional probability density functions (pdf) for the atomic fluctuations are determined from a molecular dynamics simulation for hen egg-white lysozyme. Most atoms are found to have motions that are highly anisotropic but only slightly anharmonic. The largest deviations from harmonic motion are in the direction of the largest rms fluctuations in the local principal axis frame. Backbone atoms tend to be more nearly harmonic than sidechain atoms. The atoms with the largest anharmonicities tend to have pdfs with multiple peaks, each of which is close to harmonic. Several model pdfs are evaluated on the basis of how well they fit probability densities from the dynamics simulations when parameterized in terms of the moments of the distribution. Gram-Charlier and Edgeworth perturbation expansions, which have been successful in describing the motions of small molecules in crystals, are shown to be inadequate for the distributions found in the dynamics of proteins. Multipeaked distribution functions are found to be more appropriate.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prot.340020308
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  • 3
    Electronic Resource
    Electronic Resource
    Polar hydrogen positions in proteins: Empirical energy placement and neutron diffraction comparison (1988)
    New York, NY : Wiley-Blackwell
    Proteins: Structure, Function, and Genetics 4 (1988), S. 148-156 
    Details
    ISSN: 0887-3585
    Keywords: Protein structure ; empirical energy ; energy minimization ; molecular dynamics ; Chemistry ; Biochemistry and Biotechnology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Medicine
    Notes: A method for the prediction of hydrogen positions in proteins is presented. The method is based on the knowledge of the heavy atom positions obtained, for instance, from X-ray crystallography. It employs an energy minimization limited to the environment of the hydrogen atoms bound to a common heavy atom or to a single water molecule. The method is not restricted to proteins and can be applied without modification to nonpolar hydrogens and to nucleic acids. The method has been applied to the neutron diffraction structures of trypsin ribonuclease A, and bovine pancreatic trypsin inhibitor. A comparison of the constructed and the observed hydrogen positions shows few deviations except in situations in which several energetically similar conformations are possible. Analysis of the potential energy of rotation of Lys amino and Ser, Thr, Tyr hydroxyl groups reveals that the conformations of lowest intrinsic torsion energies are statistically favored in both the crystal and the constructed structures.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prot.340040208
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  • 4
    Electronic Resource
    Electronic Resource
    A molecular dynamics analysis of protein structural elements (1989)
    New York, NY : Wiley-Blackwell
    Proteins: Structure, Function, and Genetics 5 (1989), S. 337-354 
    Details
    ISSN: 0887-3585
    Keywords: computer simulation ; fluctuations in proteins ; secondary structural dynamics ; lysozyme ; protein-substrate complex ; Chemistry ; Biochemistry and Biotechnology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Medicine
    Notes: The relation between protein secondary structure and internal motions was examined by using molecular dynamics to calculate positional fluctuations of individual helix, β-sheet, and loop structural elements in free and substrate-bound hen egg-white lysozyme. The time development of the fluctuations revealed a general correspondence between structure and dynamics; the fluctuations of the helices and β-sheets converged within the 101 psec period of the simulation and were lower than average in magnitude, while the fluctuations of theloop regions were not converged and were mostly larger than average in magnitude. Notable exceptions to this pattern occurred in the substrate-bound simulation. A loop region (residues 101-107) of the active site cleft had significantly reduced motion due to interactions withthe substrate. Moreover, part of a loop and a 310 helix (residues of 67-88) not in contact with the substrate showeda marked increase in fluctuations. That these differences in dynamics of free and substrate-bound lysozyme did not result simply from sampling errors was established by an analysis of the variations in the fluctuationsof the two halves of the 101 psec simulation of free lysozyme. Concerted transitions of four to five mainchain φ and ψ angles between dihedral wells were shown to be responsible for large coordinate shifts in the loops. These transitions displaced six or fewer residues and took place eitherabruptly, in 1 psec or less, or with a diffusive character over 5-10 psec. Displacements of rigid secondary structures involved longer timescale motions in bound lysozyme; a 0.5 Å rms change in the position of a helix occurred over the 55 psec simulation period. This helix reorientation within the protein appears to be a response to substrate binding. There was little correlation between the solvent accessible surface areaand the dynamics of the different structural elements.
    Additional Material: 15 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prot.340050409
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  • 5
    Electronic Resource
    Electronic Resource
    Exploration of disorder in protein structures by X-ray restrained molecular dynamics (1991)
    New York, NY : Wiley-Blackwell
    Proteins: Structure, Function, and Genetics 10 (1991), S. 340-358 
    Details
    ISSN: 0887-3585
    Keywords: ribonuclease A ; crambin ; conformational disorder ; protein crystallography ; simulated annealing ; X-ray refinement ; Chemistry ; Biochemistry and Biotechnology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Medicine
    Notes: Conformational disorder in crystal structures of ribonuclease-A and crambin is studied by including two independent structures in least-squares optimizations against X-ray data. The optimizations are carried out by X-ray restrained molecular dynamics (simulated annealing refinement) and by conventional least-squares optimization. Starting from two identical structures, the optimizations against X-ray data lead to significant deviations between the two, with rms backbone displacements of 0.45 Å for refinement of ribonuclease at 1.53 Å resolution, and 0.31 Å for crambin at 0.945 Å. More than 15 independent X-ray restrained molecular dynamics runs have been carried out for ribonuclease, and the displacements between the resulting structures are highly reproducible for most atoms. These include residues with two or more conformations with significant dihedral angle differences and alternative hydrogen bonding, as well as groups of residues that undergo displacements that are suggestive of rigid-body librations. The crystallographic R-values obtained are ≈ 13%, as compared to 15.3% for a comparable refinement with a single structure. Least-squares optimization without an intervening restrained molecular dynamics stage is sufficient to reproduce most of the observed displacements. Similar results are obtained for crambin, where the higher resolution of the X-ray data allows for refinement of unconstrained individual anisotropic temperature factors. These are shown to be correlated with the displacements in the two-structure refinements.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prot.340100407
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  • 6
    Electronic Resource
    Electronic Resource
    Functionality maps of binding sites: A multiple copy simultaneous search method (1991)
    New York, NY : Wiley-Blackwell
    Proteins: Structure, Function, and Genetics 11 (1991), S. 29-34 
    Details
    ISSN: 0887-3585
    Keywords: drug-design ; ligand-binding ; hemagglutinin ; functional groups ; MCSS ; Chemistry ; Biochemistry and Biotechnology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Medicine
    Notes: A new method is proposed for determining energetically favorable positions and orientations for functional groups on the surface of proteins with known three-dimensional structure. From 1,000 to 5,000 copies of a functional group are randomly placed in the site and subjected to simultaneous energy minimization and/or quenched molecular dynamics. The resulting functionality maps of a protein receptor site, which can take account of its flexibility, can be used for the analysis of protein ligand interactions and rational drug design. Application of the method to the sialic acid binding site of the influenza coat protein, hemagglutinin, yields functional group minima that correspond with those of the ligand in a cocrystal structure.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prot.340110104
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  • 7
    Electronic Resource
    Electronic Resource
    β-Sheet coil transitions in a simple polypeptide model (1992)
    New York, NY : Wiley-Blackwell
    Proteins: Structure, Function, and Genetics 12 (1992), S. 237-265 
    Details
    ISSN: 0887-3585
    Keywords: β-sheet-coil transition ; β-hairpin ; Langevin dynamics ; equilibrium properties ; quasiparticle ; effective potential ; autocorrelations ; cross-correlations ; time histories ; rate constants ; Chemistry ; Biochemistry and Biotechnology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Medicine
    Notes: A simplified model of a polypeptide chain is used to study the dynamics of the β-sheet-coil transition. Each amino acid residue is treated as a single quasiparticle in an effective potential that approximates the potential of mean force in solution. The model is used to study the equilibrium and dynamic aspects of the sheet-coil transition. Systems studied include ones with both strands free to move (two-strand sheet), and ones with either strand fixed in position (multistrand sheet). The equilibrium properties examined include sheet-coil equilibrium constants and their dependence on chain position. Dynamic properties are investigated by a stochastic simulation of the Brownian motion of the chain in its solvent surroundings. Time histories of the dihedral angles and residue-residue cross-strand distances are used to study the behavior of the sheet structure. Auto-and cross-correlation functions are calculated from the time histories with relaxation times of tens to hundreds of picoseconds. Sheet-coil rate constants of tens of ns-1 were found for the fixed strand cases.
    Additional Material: 20 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prot.340120304
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  • 8
    Electronic Resource
    Electronic Resource
    Active site dynamics of acyl-chymotrypsin (1993)
    New York, NY : Wiley-Blackwell
    Proteins: Structure, Function, and Genetics 16 (1993), S. 172-194 
    Details
    ISSN: 0887-3585
    Keywords: serine protease ; active site solvation ; stochastic simulation ; Chemistry ; Biochemistry and Biotechnology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Medicine
    Notes: The motions of water molecules, the acyl moiety, the catalytic triad, and the oxyanion binding site of acyl-chymotrypsin were studied by means of a stochastic boundary molecular dynamics simulation. A water molecule that could provide the nucleophilic OH- for the deacylation stage of the catalysis was found to be trapped between the imidazole ring of His-57 and the carbonyl carbon of the acyl group. It makes a hydrogen bond with the Nε2 of His-57 and is heldin place through a network of hydrogen-bonded water molecules in theactive site. The water molecule was found as close as 2.8 Å to the carbonyl carbon. This appears to be due to the constraints imposed by nonbonded interaction in the active site. Configurations were found in which one hydrogen of the trapped water shared a bifurcated hydrogen bond with His-57-Nε2 and Ser-195-0γ with the water oxygen very close to the carbonyl carbon. The existence of such a water molecule suggests that large movement of the His-57 imidazole ring between positions suitable for providing general-base catalyzed assistance and for providing general-acid catalyzed assistance may notbe required during the reaction. The simulation indicates that the side chains of residues involved in catalysis (i.e., His-57, Ser-195, and Asp-102) are significantly less flexible than other side chains in the protein. The 40% reduction in rms fluctuations is consistent with a comparable reduction calculated from the temperature factors obtained in the X-ray crystal-lographic data of γ-chymotrypsin. The greater rigidity of active site residues seems to result from interconnected hydrogen bonding networks among the residues and between the residues and the solvent water in the active site. © Wiley-Liss, Inc.
    Additional Material: 15 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prot.340160205
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  • 9
    Electronic Resource
    Electronic Resource
    Zinc binding in proteins and solution: A simple but accurate nonbonded representation (1995)
    New York, NY : Wiley-Blackwell
    Proteins: Structure, Function, and Genetics 23 (1995), S. 12-31 
    Details
    ISSN: 0887-3585
    Keywords: molecular dynamics ; electrostatics ; carboxypeptidase A ; carbonic anhydrase ; zinc ion ; Chemistry ; Biochemistry and Biotechnology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Medicine
    Notes: Force field parameters that use a combination of Lennard-Jones and electrostatic interactions are developed for divalent zinc and tested in solution and protein simulations. It is shown that the parameter set gives free energies of solution in good agreement with experiment. Molecular dynamics simulations of carboxypeptidase A and carbonic anhydrase are performed with these zinc parameters and the CHARMM 22 β all-atom parameter set. The structural results are as accurate as those obtained in published simulations that use specifically bonded models for the zinc ion and the AMBER force field. The inclusion of longer-range electrostatic interactions by use of the Extended Electrostatics model is found to improve the equilibrium conformation of the active site. It is concluded that the present parameter set, which permits different coordination geometries and ligand exchange for the zinc ion, can be employed effectively for both solution and protein simulations of zinc-containing systems. © 1995 Wiley-Liss, Inc.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prot.340230104
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  • 10
    Electronic Resource
    Electronic Resource
    HOOK: A program for finding novel molecular architectures that satisfy the chemical and steric requirements of a macromolecule binding site (1994)
    New York, NY : Wiley-Blackwell
    Proteins: Structure, Function, and Genetics 19 (1994), S. 199-221 
    Details
    ISSN: 0887-3585
    Keywords: multicopy simulation search ; rational drug design ; database search ; computer-aided design ; Chemistry ; Biochemistry and Biotechnology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Medicine
    Notes: A program (HOOK) is described for generating potential ligands that satisfy the chemical and steric requirements of the binding region of a macromolecule. Functional group sites with defined positions and orientations are derived from known ligand structures or the multicopy simulation search (MCSS) method (Miranker, A., Karplus, M. Proteins 11:29-34, 1991). HOOK places molecular “skeletons” from a database into the protein binding region by making bonds between sites (“hooks”) on the skeleton and functional groups. The nonpolar interactions with the binding region of candidate molecules are assessed by use of a simplified van der Waals potential. The method is illustrated by constructing ligands for the sialic acid binding site of the hemagglutinin from the influenza A virus and the active site of chloramphenicol acetyltransferase. Aspects of the HOOK program that lead to a highly efficient search of 105 or more skeletons for binding to 102 or more functional group minima are outlined. © 1994 Wiley-Liss, Inc.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prot.340190305
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