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  • Polymer and Materials Science  (6)
  • 1
    Electronic Resource
    Electronic Resource
    Sedimentation coefficients of DNA topoisomers: The helical wormlike chain (1988)
    New York : Wiley-Blackwell
    Biopolymers 27 (1988), S. 675-682 
    Details
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The sedimentation coefficient sN of the DNA topoisomer with the linking number N is evaluated as a function of N and chain length on the basis of a (circular) twisted wormlike chain, i.e., a special case of the helical wormlike chain. Evaluation is carried out by an application of the Oseen-Burgers procedure of hydrodynamics to the cylinder model with the preaveraged Oseen tensor. The necessary mean reciprocal distance between two contour points is obtained by a Monte Carlo method. It is shown that sN increases as |ΔN| is increased from 0 in the range of small |ΔN|, where ΔN = N - N, with N the number of helix turns in the linear DNA chain in the undeformed state. It is found that there is semiquantitative agreement between the Monte Carlo values and the experimental data obtained by Wang for sN.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/bip.360270410
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    DNA-topoisomer analysis on the basis of the helical wormlike chain (1984)
    New York : Wiley-Blackwell
    Biopolymers 23 (1984), S. 853-857 
    Details
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/bip.360230503
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Moments for DNA topoisomers: The helical wormlike chain (1988)
    New York : Wiley-Blackwell
    Biopolymers 27 (1988), S. 657-673 
    Details
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The mean-square radius 〈S2〉N of gyration of the DNA topoisomer with the linking number N is evaluated as a function of N and chain length L on the basis of a (circular) twisted wormlike chain, i.e., a special case of the helical wormlike chain. Evaluation of 〈S2〉N and also of the moment 〈Wr2〉 of the writhe Wr is carried out over a wide range of L, following the Monte Carlo procedure of Frank-Kamenetskii et al. It is found that the present Monte Carlo values of 〈Wr2〉 for large L are appreciably larger than the known Monte Carlo values for freely jointed chains. Thus, the empirical interpolation formula for 〈Wr2〉 previously constructed on the basis of the theoretical values for small L along with the latter Monte Carlo values for large L is revised with the present Monte Carlo values. By the use of the revised formula, a reanalysis of the experimental data for the distribution of topoisomers is made, and it is found that the present estimates of the torsional constant and the stiffness parameter are equal to and somewhat larger than the previous ones, respectively. It is shown that 〈S2〉N decreases with increasing |ΔN|, where ΔN = N - N, with N the number of helix turns in the linear DNA chain in its undeformed state. The mean-square radii of gyration 〈S2〉Wr and 〈S2〉 of the original circular Kratky-Porod wormlike chain with and without Wr fixed are also evaluated.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/bip.360270409
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Convergence of the distribution functions for wormlike chains (1974)
    New York : Wiley-Blackwell
    Journal of Polymer Science: Polymer Physics Edition 12 (1974), S. 2075-2089 
    Details
    ISSN: 0098-1273
    Keywords: Physics ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: The Daniels-type distribution functions of the end-to-end distance of three-dimensional and two-dimensional wormlike chains are obtained to terms of order t-10, by an operational method with use of a digital computer, where t is the ratio of the total chain contour length to the Kuhn segment length in three-dimensional cases and of the contour length to the persistence length in two-dimensional cases. The convergence of the ring-closure probability and the mean reciprocal distance is examined on the basis of these distribution functions. A similar study of the moment-based distribution functions is also made.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/pol.1974.180121009
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  • 5
    Electronic Resource
    Electronic Resource
    Statistical mechanics of two-dimensional wormlike chains (1974)
    New York : Wiley-Blackwell
    Journal of Polymer Science: Polymer Physics Edition 12 (1974), S. 1327-1338 
    Details
    ISSN: 0098-1273
    Keywords: Physics ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: The bivariate distribution function and the ring closure probability for a continuous wormlike chain derived by Gobush et al. and by Yamakawa and Stockmayer are translated into the two-dimensional case. The results may be written in terms of Fourier series instead of spherical harmonics. Evaluation is carried out to terms of order t-3, where t is the ratio of the total contour length to the persistence length.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/pol.1974.180120707
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  • 6
    Electronic Resource
    Electronic Resource
    First-order perturbation calculations of intrinsic viscosities of flexible linear and ring polymers with excluded volume: Comments on the papers of Fujita et al. (1978)
    New York : Wiley-Blackwell
    Journal of Polymer Science: Polymer Physics Edition 16 (1978), S. 1927-1933 
    Details
    ISSN: 0098-1273
    Keywords: Physics ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: It is shown that the first-order perturbation coefficient C1 of the cubed viscosity-radius expansion factor αη3 of nondraining flexible chains with excluded volume may be evaluated without great labor and with sufficient accuracy by solving numerically the Kirkwood-Riseman-type integral equations with a digital computer. The value 1.18 for C1,r obtained for ring chains is in good agreement with the corresponding value of Norisuye and Fujita, while the value 1.14 for C1,l obtained for linear chains is appreciably smaller than the corresponding value 1.29 of Fujita et al. despite the fact that the starting equations are the same. However, it is shown that the calculated value of C1,l of Fujita et al. is incorrect. Thus, the present result that C1,l 〈 C1,r is consistent with the earlier conclusion of Yamakawa and Tanaka derived in the Zimm-Hearst scheme.
    Additional Material: 3 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/pol.1978.180161103
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