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.
Bevilacqua, G., Lussardi, L., Marzocchi, A., Soap film spanning electrically repulsive elastic protein links, <<ATTI DELLA ACCADEMIA PELORITANA DEI PERICOLANTI, CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI>>, 2018; 96 (S3/A1): 1-13. [doi:10.1478/AAPP.96S3A1] [http://hdl.handle.net/10807/133995]
Soap film spanning electrically repulsive elastic protein links
Lussardi, Luca;Marzocchi, Alfredo
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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