Soap film spanning electrically repulsive elastic protein links

Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi


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.


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

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

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