Soap film spanning electrically repulsive elastic protein links

Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi

Abstract


We study the equilibrium problem of a mechanical system consisting by two Kirchhoff rods linked in an arbitrary way and also forming knots, constrained not to touch themselves by means of electrical repulsion and tied by a soap film, as a model to describe the interaction between an electrically charged protein and a biomembrane. We prove the existence of a solution with minimum total energy, which may be quite irregular, by using techniques of the Calculus of Variations.

Keywords


Kirchhoff rod, soap film, elastic protein link, molecular forces, Calculus of Variations

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DOI: http://dx.doi.org/10.1478/AAPP.96S3A1

Copyright (c) 2018 Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi

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