Archivio Istituzionale della RicercaWe study the equilibrium problem of a mechanical system consisting of 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.
Soap film spanning electrically repulsive elastic protein links / Bevilacqua, Giulia; Lussardi, Luca; Marzocchi, Alfredo. - STAMPA. - 96:(2018), pp. 1-13. (Intervento presentato al convegno School & Research Workshop Mathematical Modeling of Self-Organizations in Medicine, Biology and Ecology: from micro to macro) [10.1478/AAPP.96S3A1].
Soap film spanning electrically repulsive elastic protein links
Lussardi, Luca;
2018
Abstract
We study the equilibrium problem of a mechanical system consisting of 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.
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https://hdl.handle.net/11583/2721930
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