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  • 1
    ISSN: 1520-4995
    Source: ACS Legacy Archives
    Topics: Biology , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 117 (1995), S. 5001-5002 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 103 (1995), S. 8577-8593 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The previously developed particle mesh Ewald method is reformulated in terms of efficient B-spline interpolation of the structure factors. This reformulation allows a natural extension of the method to potentials of the form 1/rp with p≥1. Furthermore, efficient calculation of the virial tensor follows. Use of B-splines in place of Lagrange interpolation leads to analytic gradients as well as a significant improvement in the accuracy. We demonstrate that arbitrary accuracy can be achieved, independent of system size N, at a cost that scales as N log(N). For biomolecular systems with many thousands of atoms this method permits the use of Ewald summation at a computational cost comparable to that of a simple truncation method of 10 A(ring) or less. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 109 (1998), S. 10921-10935 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Ionic charging free energies calculated by Ewald summation differ substantially from those calculated in spherical cluster calculations, with or without the inclusion of a Born correction in the latter. Using Gauss' law, we derive an electrostatic potential for ions in spherical clusters that involves contributions only from the interior solvent. This "interior" potential agrees with the "P-summation" approach proposed by Hummer et al. [J. Phys. Chem. B 101, 3017 (1997)], and leads to charging free energies which agree, within simulation error, with those given by Ewald summation with finite-size corrections. The difference in charging free energies between this approach and the conventional cluster free energies including the Born correction is traced to the surface potential of water. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 98 (1993), S. 10089-10092 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: An N⋅log(N) method for evaluating electrostatic energies and forces of large periodic systems is presented. The method is based on interpolation of the reciprocal space Ewald sums and evaluation of the resulting convolutions using fast Fourier transforms. Timings and accuracies are presented for three large crystalline ionic systems.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 99 (1993), S. 8345-8348 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Simulations of the HIV-1 protease unit cell using a 9 A(ring) cutoff, 9/18 A(ring) "twin-range'' cutoff, and full Ewald sums have been carried out to 300 ps. The results indicate that long-range electrostatic interactions are essential for proper representation of the HIV-1 protease crystal structure. The 9 A(ring) simulation did not converge in 300 ps. Inclusion of a 9/18 A(ring) "twin-range'' cutoff showed significant improvement. Simulation using the Ewald summation convention gave the best overall agreement with x-ray crystallographic data, and showed the least internal differences in the time average structures of the asymmetric units. The Ewald simulation represents an efficient implementation of the Particle Mesh Ewald method [Darden et al., J. Chem. Phys. 98, 10 089 (1993)], and illustrates the importance of including long-range electrostatic forces in large macromolecular systems.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    The journal of supercomputing 11 (1997), S. 255-278 
    ISSN: 1573-0484
    Keywords: Ewald ; parallel ; T3E ; simulation ; electrostatic ; molecular dynamics ; PME
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract We report our work to parallelize the Particle Mesh Ewald (PME) method to compute the long-range electrostatic interactions in the molecular dynamics program AMBER and to extend the scalability of the PME method to hundreds of processors.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 44 (1992), S. 145-166 
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: DNA is a negatively charged biopolymer composed of monomeric nucleotides each carrying on average a net (-1) charge concentrated in the region of the phosphate backbone. In solution, the net negative charge of the molecule is presumably balanced by positively charged cations that interact with the DNA. Important questions arise as to the molecular details of the interaction of different cations with DNA. In this paper, we investigate the interaction of monovalent sodium ions and divalent magnesium and calcium ions with duplex DNA using molecular dynamics. Three 50 ps molecular dynamics simulations of the DNA sequence d[CGCGAATTCGCG]2 have been performed in different ionic environments. Each system is constructed to be electrically neutral and is composed of the DNA duplex immersed in a large water bath containing a specific ionic species [Na(I), Mg(II), or Ca(II)]. The structural differences of the DNA itself as a result of interacting with each ionic species have been previously examined (D. M. York, T. Darden, D. Deerfield, II, and L. Pedersen, J. Biomol. Struct. Dyn., submitted). In the current work, the ion-DNA and ion-water interactions are examined. The coordination shells of the ions and distributions around the phosphate anions are reported, and both show close encouraging agreement with available experimental work. The results of our studies indicate that the hydration state of the ion plays an important role in the direct coordination of the phosphate anions. Na(I) and Ca(II) ions prefer to coordinate the phosphate anions directly, whereas Mg(II) ions have a greater tendency to interact with phosphate anions as fully hydrated cations. © 1992 John Wiley & Sons, Inc.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 10 (1989), S. 529-551 
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: A method for fitting a smooth ribbon representation of DNA structures is proposed. Following a review of the relevant definitions for classical linear helical DNA and generalizations to curving helices, a parameterization of smooth ribbons is given, which leads to tractable expressions. In addition it suggests a new way to define twist, tilt, and roll for a base step that is free of the ambiguities caused by noncommutativity of finite rotations. A least squares fitting criterion for ribbons is then proposed. In some cases the optimal ribbon with respect to this criterion is not unique. This problem is analyzed, and the circumstances in which it can occur are specified. To resolve the nonuniqueness problem, a variational description of the optimal ribbon is proposed, namely the ribbon of lowest elastic energy achieving a specified level of fit with respect to the least squares criterion. The appropriate level of fit is decided using distances of backbone atoms from fitted ribbon axes. Theoretical tests of the fitting methodology are presented, and as a sample application a smooth ribbon is fit to an existing experimental structure.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 18 (1997), S. 1848-1862 
    ISSN: 0192-8651
    Keywords: molecular dynamics ; biomolecules ; electrostatics ; software ; reversible multiple time-step algorithms ; Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: In this study, we present a new molecular dynamics program for simulation of complex molecular systems. The program, named ORAC, combines state-of-the-art molecular dynamics (MD) algorithms with flexibility in handling different types and sizes of molecules. ORAC is intended for simulations of molecular systems and is specifically designed to treat biomolecules efficiently and effectively in solution or in a crystalline environment. Among its unique features are: (i) implementation of reversible and symplectic multiple time step algorithms (or r-RESPA, reversible reference system propagation algorithm) specifically designed and tuned for biological systems with periodic boundary conditions; (ii) availability for simulations with multiple or single time steps of standard Ewald or smooth particle mesh Ewald (SPME) for computation of electrostatic interactions; and (iii) possibility of simulating molecular systems in a variety of thermodynamic ensembles. We believe that the combination of these algorithms makes ORAC more advanced than other MD programs using standard simulation algorithms.   © 1997 John Wiley & Sons, Inc.   J Comput Chem 18: 1848-1862, 1997
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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