TY - GEN

T1 - Mechanics of DNA supercoiling

AU - Yang, Yang

AU - Tobias, Irwin

AU - Olson, Wilma

PY - 1992

Y1 - 1992

N2 - A DNA polymer with hundreds or thousands base pairs is modeled as a thin elastic rod. To find the equilibrium configurations and associated elastic energies as a function of linking number difference (ΔLk), a finite element scheme based on Kirchhoff's rod theory is newly formulated so as to be able to treat self-contact. The numerical results obtained here agree well with those already published, both analytical and numerical, but a much more detailed picture emerges of the several equilibrium states which can exist for a given ΔLk. Of particular interest is the discovery of interwound states having odd integral values of the writhing number and very small twist energy. The existence of non-circular cross-section of the rod, inhomogeneous elastic constants, and intrinsic curvature can all be readily incorporated into the new formalism.

AB - A DNA polymer with hundreds or thousands base pairs is modeled as a thin elastic rod. To find the equilibrium configurations and associated elastic energies as a function of linking number difference (ΔLk), a finite element scheme based on Kirchhoff's rod theory is newly formulated so as to be able to treat self-contact. The numerical results obtained here agree well with those already published, both analytical and numerical, but a much more detailed picture emerges of the several equilibrium states which can exist for a given ΔLk. Of particular interest is the discovery of interwound states having odd integral values of the writhing number and very small twist energy. The existence of non-circular cross-section of the rod, inhomogeneous elastic constants, and intrinsic curvature can all be readily incorporated into the new formalism.

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M3 - Conference contribution

AN - SCOPUS:0026977150

SN - 0791811166

T3 - American Society of Mechanical Engineers, Bioengineering Division (Publication) BED

SP - 5

EP - 8

BT - 1992 Advances in Bioengineering

PB - Publ by ASME

T2 - Winter Annual Meeting of the American Society of Mechanical Engineers

Y2 - 8 November 1992 through 13 November 1992

ER -