Supercoiling of DNA plasmids: mechanics of the generalized ply
By J. Michael T. Thompson, G. V. D. Heijden, Sebastien Neukirch. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2002
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In this paper we address the mechanics of ply formation in DNA supercoils. We extend the variable ply formulation of Coleman & Swigon to include end loads, and the derived constitutive relations of this generalized ply are shown to be in excellent agreement with experiments. We make a careful physical examination of the uniform ply in which two strands coil around one another in the form of a helix. We next address the problem of determining the link (Lk), twist (Tw) and writhe (Wr) of a closed DNA plasmid from an inspection of its electron micrograph. Previous work has made use of the topological relation, Lk= Tw+ Wr, but we show how this kinematic result can be augmented by the mechanics solutions. A very precise result is achieved in a trial calculation.
Subfields: Aerospace Engineering, Civil and Structural Engineering, Mechanical Engineering
View Paper: https://www.semanticscholar.org/paper/db8753b69330b5d4e27cad645ab1fa3e96c8f84d
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Citations in the corpus
- Instability and self-contact phenomena in the writhing of clamped rods (2003, background): “We have something to say about rods contacting along an interval in a separate publication [15].”