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  • 1
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Macromolecules 14 (1981), S. 635-640 
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1520-4995
    Source: ACS Legacy Archives
    Topics: Biology , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Macromolecules 17 (1984), S. 659-663 
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , 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 109 (1998), S. 3276-3284 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Among algorithms that are used to solve the equations of motion, the symplectic integrator (SI) has the advantage of conserving the phase space volume and ensuring a stable simulation. However, incorporating the explicit formula of the SI in a molecular simulation is feasible only for the systems whose Hamiltonian is described by K(p)+V(q), where the kinetic energy K and the potential energy V depend only on momenta p and coordinates q, respectively. Due to this limitation, explicit SI integrators cannot directly be applied to the Nosé-Hoover equations of motion for the constant temperature molecular dynamics (MD) simulation. In this article, by applying the formula of the decomposition of the exponential Liouville operator to the Nosé-Hoover equations, we have obtained a series of integrators for the constant temperature simulation which have the correct form of the Jacobian of the Nosé-Hoover equations. The systems examined here are liquid water and a protein in water. From the results of the constant temperature simulations, where several variations of the integrators were employed, we show that a combination of the Suzuki's second order formula and the fourth order symplectic integrator of Calvo and Sanz-Serna generates a trajectory of much higher accuracy than the nonsymplectic Gear predictor-corrector method for a given amount of CPU time. © 1998 American Institute of Physics.
    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 116 (2002), S. 33-41 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A generalized form of the conserved quantity in the constant-temperature molecular dynamics (MD) simulation is proposed as a measure of accuracy of MD simulations. This quantity is defined as the deviation of the distribution functions, or the Jacobian determinant, generated by the MD trajectory, from the ideal canonical value. For the Nosé–Hoover equations, this has the same form as the Hamiltonian of Nosé's extended system. We calculated the conserved quantities for a series of constant-temperature simulations of a small protein, crambin, in water, and used them to evaluate the accuracy of the simulations under various conditions; i.e., with the Gaussian isokinetic or Nosé–Hoover equations, with flexible or rigid-body water, and with a single- or multiple-time-step algorithm. New integrators, based on the decomposition of the exponential Liouville operators, were developed for the simulation with rigid-body water. The comparison of the conserved quantities showed that the Gaussian isokinetic equations produced almost the same degree of accuracy as the Nosé–Hoover equations, and that the rigid-body treatment of water and the multiple-time-step algorithm greatly improved the accuracy. © 2002 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 7
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Bacteriorhodopsin is a transmembrane protein that uses light energy, absorbed by its chromophore retinal, to pump protons from the cytoplasm of bacteria such as Halobacterium salinarium into the extracellular space,. It is made up of seven α-helices, and in the bacterium forms natural, ...
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  • 8
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 57 (2001), S. 518-525 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: The environmental influence on the electron scattering amplitudes of a molecule was evaluated by ab initio molecular-orbital calculations. The model system is formic acid in various states, i.e. the monomer, hydrogen-bonded dimer and ionized formate form. The model electrostatic potentials were calculated either in vacuo or with the polarizable continuum model as a simple model of an aqueous environment. It was found that charge compensation due to the environment affects the scattering amplitudes significantly. The resultant molecular electrostatic potential was fitted by six nucleus-centered Gaussians of site/environment-dependent atomic electrostatic potentials with small residual errors. Therefore, the site/environment-dependent atomic electrostatic potentials will give a good model for electron crystallography.
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  • 9
    ISSN: 1573-4943
    Keywords: ten factors ; sequence similarity ; structural similarity ; conserved property during evolution ; relatedness odds matrix ; average protein ; homologous protein family ; cytochromec ; globin ; sequence alignment
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract In a previous paper we obtained ten (orthogonal) factors, linear combinations of which can express the properties of the 20 naturally occurring amino acids. In this paper, we assume that the most important properties (linear combinations of these ten factors) that determine the three-dimensional structure of a protein are conserved properties, i.e., are those that have been conserved during evolution. Two definitions of a conserved property are presented: (1) a conserved property for an average protein is defined as that linear combination of the ten factors that optimally expresses the similarity of one amino acid to another (hence, little change during evolution), as given by the relatedness odds matrix of Dayhoff et al.; (2) a conserved property for each position in the amino acid sequence (locus) of a specific family of homologous proteins (the cytochromec family or the globin family) is defined as that linear combination of the ten factors that is common among a set of amino acids at a given locus when the sequences are properly aligned. When the specificity at each locus is averaged over all loci, the same features are observed for three expressions of these two definitions, namely the conserved property for an average protein, the average conserved property for the cytochromec family, and the average conserved property for the globin family; we find that bulk and hydrophobicity (information about packing and long-range interactions) are more important than other properties, such as the preference for adopting a specific backbone structure (information about short-range interactions). We also demonstrate that the sequence profile of a conserved property, defined for each locus of a protein family (definition 2), corresponds uniquely to the three-dimensional structure, while the conserved property for an average protein (definition 1) is not useful for the prediction of protein structure. The amino acid sequences of numerous proteins are searched to find those that are similar, in terms of the conserved properties (definition 2), to sequences of the same size from one of the homologous families (cytochromec and globin, respectively) for whose loci the conserved properties were defined. Many similar sequences are found, the number of similarities decreasing with increasing size of the segment. However, the segments must be rather long (≥15 residues) before the comparisons become meaningful. As an example, one sufficiently large sequence (20 residues) from a protein of known structure (apo-liver alcohol dehydrogenase that is not a member of either family) is found to be similar in the conserved properties to a particular sequence of a member of the family of human hemoglobin α chains, and the two sequences have similar structures. This means that, since conserved properties are expected to be structure determinants, we can use the conserved properties to predict an initial protein structure for subsequent energy minimization for a protein for which the conserved properties are similar to those of a family of proteins with a sufficiently large number of homologous amino acid sequences; such a large number of homologous sequences is required to define a conserved property for each locus of the homologous protein family.
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  • 10
    ISSN: 1573-4943
    Keywords: amino acid physical properties ; characteristic properties ; bulk ; hydrophobicity ; β-structure preference ; α-helix preference ; bend-structure preference ; statistical analysis ; cluster analysis ; factor analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract In order to describe the conformational and other physical properties of the 20 naturally occurring amino acid residues with a minimum number of parameters, several multivariate statistical analyses were applied to 188 of their physical properties and ten orthogonal properties (factors) were obtained for the 20 amino acids without losing the information contained in the original physical properties. The analysis consisted of three main steps. First, 72 of the physical properties were eliminated from further consideration because they did not pass statistical tests that they follow a normal distribution. Second, the remaining 116 physical properties of the amino acids were classified by a cluster analysis to eliminate duplications of highly correlated physical properties. This led to nine clusters, each of which was characterized by an average characteristic property, namely bulk, two hydrophobicity indices for free amino acids, one hydrophobicity index for amino acid residues in a protein, two types of β-structure preference, α-helix preference, and two types of bend-structure preference. The physical properties within a given cluster were highly correlated with each other, but the correlation between clusters was low. Third, a factor analysis was applied to the nine average classified properties and 16 additional physical properties to obtain a small number of orthogonal properties (ten factors). Four of these factors arise from the nine characteristic properties, and the remaining six factors were obtained from the 16 physical properties not included in the nine characteristic properties. Finally, most of the 188 physical properties could be expressed as a sum of these ten orthogonal factors, with appropriate weighting factors. Since these factors contain information relating almost all properties of all 20 amino acids, it is possible to estimate the numerical values of a property for one or two amino acids for which experimental data for this property are not available. For example, the estimated values for the Zimm-Bragg parameters at 20°C are 0.66 and 0.92 for proline and cysteine, respectively, computed from the first four factors.
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