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Applications to Circular DNA

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Helical Wormlike Chains in Polymer Solutions

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Abstract

In this chapter the statistical-mechanical and transport theories of the HW chain developed so far are applied to some interesting problems of circular DNA such as cyclization of linear DNA and analysis of circular DNA topoisomers (topological isomers) or supercoiled forms. These problems may be treated theoretically by modeling duplex DNA as the KP1 chain [or sometimes the (original) KP chain], which is a spacial case of the HW chain. From the statistical-mechanical standpoint, all kinds of ring-closure probabilities for these KP chains, which do not necessarily concern DNA problems, are also considered in this chapter. Relevant experimental data are analyzed by the use of the present theories in order to determine the stiffness parameter (Kuhn segment length) and torsional force constant of duplex DNA. However, all aspects of the problem of the supercoiling of DNA are not discussed since it is beyond the scope of this book.

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Authors and Affiliations

  1. Department of Polymer Chemistry, Kyoto University, Katsura, Kyoto, Japan

    Hiromi Yamakawa & Takenao Yoshizaki

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  1. Hiromi Yamakawa
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  2. Takenao Yoshizaki
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Yamakawa, H., Yoshizaki, T. (2016). Applications to Circular DNA. In: Helical Wormlike Chains in Polymer Solutions. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48716-7_7

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