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On the asymmetric elasticity of twisted dsDNA

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  • Zhou, Zicong
  • Lai, Pik-Yin

Abstract

We present an analytical-based proof for the consistency of two asymmetric elastic models of the double-stranded DNA in the regime around the B-form. We derive the shape equations in terms of Euler angles for a uniform ribbon with noncircular cross section and spontaneous torsion. We study the conditions to form a helical ribbon for the model and find that the Euler angle ψ must be either 0 or π/2. We find that the helix is always stable or at least metastable for the model, and there is either a continuous or discontinuous transition of extension, from a twisted straight ribbon to a helical ribbon. An “over-collapse” phenomena of extension is observed for the ribbon under twisting. The stability of the helix and the intrinsic asymmetric elasticity under twisting are also studied.

Suggested Citation

  • Zhou, Zicong & Lai, Pik-Yin, 2005. "On the asymmetric elasticity of twisted dsDNA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(1), pages 70-83.
    • Handle: RePEc:eee:phsmap:v:350:y:2005:i:1:p:70-83
    DOI: 10.1016/j.physa.2004.11.031
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    Keywords

    Biopolymer; dsDNA; Elasticity;
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