The geometrical origin of the strain-twist coupling in double helices

Publication: Research - peer-reviewJournal article – Annual report year: 2010

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The geometrical origin of the strain-twist coupling in double helices. / Olsen, Kasper; Bohr, Jakob.

In: AIP Advances, Vol. 1, 2010.

Publication: Research - peer-reviewJournal article – Annual report year: 2010

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Olsen, Kasper; Bohr, Jakob / The geometrical origin of the strain-twist coupling in double helices.

In: AIP Advances, Vol. 1, 2010.

Publication: Research - peer-reviewJournal article – Annual report year: 2010

Bibtex

@article{58331a686b1040089cc5b441113ff745,
title = "The geometrical origin of the strain-twist coupling in double helices",
keywords = "DNA, Proteins, Molecular biophysics, Molecular configurations, Biomechanics",
author = "Kasper Olsen and Jakob Bohr",
year = "2010",
doi = "10.1063/1.3560851",
volume = "1",
journal = "AIP Advances",

}

RIS

TY - JOUR

T1 - The geometrical origin of the strain-twist coupling in double helices

A1 - Olsen,Kasper

A1 - Bohr,Jakob

AU - Olsen,Kasper

AU - Bohr,Jakob

PY - 2010

Y1 - 2010

N2 - A simple geometrical explanation for the counterintuitive phenomenon when twist leads to extension in double helices is presented. The coupling between strain and twist is investigated using a tubular description. It is shown that the relation between strain and rotation is universal and depends only on the pitch angle. For pitch angles below 39.4◦ strain leads to further winding, while for larger pitch angles strain leads to unwinding. The zero-twist structure, with a pitch angle of 39.4◦, is at the unique point between winding and unwinding and independent of the mechanical properties of the double helix. The existence of zero-twist structures, i.e. structures that display neither winding, nor unwinding under strain is discussed. Close-packed double helices are shown to extend rather than shorten when twisted. Numerical estimates of this elongation upon winding are given for DNA, chromatin, and RNA.

AB - A simple geometrical explanation for the counterintuitive phenomenon when twist leads to extension in double helices is presented. The coupling between strain and twist is investigated using a tubular description. It is shown that the relation between strain and rotation is universal and depends only on the pitch angle. For pitch angles below 39.4◦ strain leads to further winding, while for larger pitch angles strain leads to unwinding. The zero-twist structure, with a pitch angle of 39.4◦, is at the unique point between winding and unwinding and independent of the mechanical properties of the double helix. The existence of zero-twist structures, i.e. structures that display neither winding, nor unwinding under strain is discussed. Close-packed double helices are shown to extend rather than shorten when twisted. Numerical estimates of this elongation upon winding are given for DNA, chromatin, and RNA.

KW - DNA

KW - Proteins

KW - Molecular biophysics

KW - Molecular configurations

KW - Biomechanics

U2 - 10.1063/1.3560851

DO - 10.1063/1.3560851

JO - AIP Advances

JF - AIP Advances

VL - 1

ER -