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Evolving a Kirchhoff elastic rod without self-intersections

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Publication:2271180
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DOI10.1007/s10910-008-9383-6zbMath1222.92030OpenAlexW2073212853MaRDI QIDQ2271180

Chun-Chi Lin, Hartmut R. Schwetlick

Publication date: 6 August 2009

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-008-9383-6


zbMATH Keywords

polymerswrithegeometric flowsfourth-order parabolic equationsbending long DNA molecules


Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Biochemistry, molecular biology (92C40) Biophysics (92C05)




Cites Work

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  • Euler-Lagrange equations for nonlinearly elastic rods with self-contact
  • Evolution of Elastic Curves in $\Rn$: Existence and Computation
  • There is More than One Way to Frame a Curve
  • Decomposition of the linking number of a closed ribbon: A problem from molecular biology
  • Knot Types, Homotopies and Stability of Closed Elastic Rods
  • On the Geometric Flow of Kirchhoff Elastic Rods
  • FORMULAE FOR THE CALCULATION AND ESTIMATION OF WRITHE
  • Lagrangian Aspects of the Kirchhoff Elastic Rod
  • Self-Linking and the Gauss Integral in Higher Dimensions
  • The Writhing Number of a Space Curve
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