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Micromechanics of Single Supercoiled DNA Molecules

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Mathematics of DNA Structure, Function and Interactions

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 150))

Abstract

The theory of the mechanical response of single DNA molecules under stretching and twisting stresses is reviewed. Using established results for the the semiflexible polymer including the effect of torsional stress, and for the free energy of plectonemic supercoils, a theory of coexisting plectonemic and extended DNA is constructed and shown to produce phenomena observed experimentally. Analytical results for DNA extension and torque are presented, and effects of anharmonicities in the plectonemic free energy are described. An application of the theory to the problem of torsional-stress-induced cruciform extrusion is also discussed.

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Author information

Authors and Affiliations

  1. Department of Physics and Astronomy and Department of Biochemistry, Molecular Biology and Cell Biology, Northwestern University, 60208-3500, Evanston, Illinois, USA

    John F. Marko

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  1. John F. Marko
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Editor information

Editors and Affiliations

  1. Dept. Pharmacology & Genome Center, University of California, Davis, E. Health Sciences Drive 451, Davis, 95616, USA

    Craig John Benham

  2. Dept. Chemistry & Biochemistry, Georgia Institute of Technology, Atlanta, 30332-0400, USA

    Stephen Harvey

  3. Dept. Chemistry & Chemical Biology, Rutgers State University of New Jersey, Taylor Rd. 610, Piscataway, 08854-8087, USA

    Wilma K. Olson

  4. Dept. Mathematics, Florida State University, Tallahassee, 32306-4510, USA

    De Witt Sumners

  5. Dept. Mathematics, University of Pittsburgh, Thackeray Hall 301, Pittsburgh, 15260, USA

    David Swigon

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Marko, J.F. (2009). Micromechanics of Single Supercoiled DNA Molecules. In: Benham, C., Harvey, S., Olson, W., Sumners, D., Swigon, D. (eds) Mathematics of DNA Structure, Function and Interactions. The IMA Volumes in Mathematics and its Applications, vol 150. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0670-0_12

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