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Statistics of loop formation along double helix DNAs

Jie Yan, Ryo Kawamura, and John F. Marko

  • Department of Physics, University of Illinois at Chicago, 845 West Taylor Street, Chicago, Illinois 60607-7059, USA

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Phys. Rev. E 71, 061905 – Published 13 June, 2005Erratum Phys. Rev. E 72, 059901 (2005)

DOI: https://doi.org/10.1103/PhysRevE.71.061905

Abstract

We compute relative position distributions of distant sites along discretized semiflexible polymers, focusing on encounter statistics for pairs of sites along a double-stranded DNA molecule (dsDNA), using a transfer-matrix approach. We generalize the usual semiflexible polymer, considering nonlinear elasticity effects arising from inhomogeneities which either appear at any position via thermal fluctuation, or which occur at specific “quenched” locations. We apply our theory to two problems associated with dsDNA looping. First, we discuss how local flexible defects in double-helix structure facilitate cyclization of short dsDNA molecules. Flexible defects greatly enhance cyclization rate, and strongly modify its dependence on the closure orientational boundary condition. This effect is relevant to free-solution cyclization experiments, and to loop formation in vivo. Second, we present calculations of force dependence of the probability of formation of loops along single dsDNAs which show how the probability of loop formation is suppressed by tension.

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Erratum

Erratum: Statistics of loop formation along double helix DNAs [Phys. Rev. E 71, 061905 (2005)]

Jie Yan, Ryo Kawamura, and John F. Marko
Phys. Rev. E 72, 059901 (2005)

Article Text

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Outline

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Phys. Rev. E 71, 061905– Published 13 June, 2005
  • Received 19 December 2004

© 2005 American Physical Society

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