Modeling repulsive forces on fibres via knot energies

• Autorzy: Simon Blatt , Philipp Reiter
• Języki publikacji: EN

Abstrakty

EN

Modeling of repulsive forces is essential to the understanding of certain bio-physical processes, especially for the motion of DNA molecules. These kinds of phenomena seem to be driven by some sort of “energy” which especially prevents the molecules from strongly bending and forming self-intersections. Inspired by a physical toy model, numerous functionals have been defined during the past twenty-five years that aim at modeling self-avoidance. The general idea is to produce “detangled” curves having particularly large distances between distant strands. In this survey we present several families of these so-called knot energies. It turns out that they are quite similar from an analytical viewpoint. We focus on proving self-avoidance and existence of minimizers in every knot class. For a suitable subfamily of these energies we show how to prove that these minimizers are even infinitely differentiable

Słowa kluczowe

EN

repulsive forces; knot energies; molecular biology

• Wydawca: De Gruyter Open
• Czasopismo: Molecular Based Mathematical Biology
• Rocznik: 2014
• Tom: 2
• Numer: 1

Daty

otrzymano

2013-07-31

zaakceptowano

2014-04-09

online

2014-09-19

Twórcy

autor

Simon Blatt

• Workgroup Applied Analysis, Karlsruhe Institute of Technology, Kaiserstraße 89-93, 76133 Karlsruhe, Germany,

autor

Philipp Reiter

• Fakultät für Mathematik der Universität Duisburg-Essen, Forsthausweg 2, 47057 Duisburg, Germany

Bibliografia

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Identyfikatory

DOI

10.2478/mlbmb-2014-0004