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• W2122734996 abstract "Abstract We study an energy functional that arises in a simplified two‐dimensional model for lipid bilayer membranes. We demonstrate that this functional, defined on a class of spatial mass densities, favours concentrations on ‘thin structures’. Stretching, fracture and bending of such structures all carry an energy penalty. In this sense we show that the models captures essential features of lipid bilayers, namely partial localisation and a solid‐like behaviour . Our findings are made precise in a Gamma‐convergence result. We prove that a rescaled version of the energy functional converges in the ‘zero thickness limit’ to a functional that is defined on a class of planar curves. Finiteness of the limit value enforces both optimal thickness and non‐fracture; if these conditions are met, then the value of this functional is given by the classical Elastica (bending) energy. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
• W2122734996 created "2016-06-24" @default.
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• W2122734996 date "2006-12-01" @default.
• W2122734996 modified "2023-09-23" @default.
• W2122734996 title "Cell membranes, Lipid Bilayers, and the Elastica Functional" @default.
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• W2122734996 doi "https://doi.org/10.1002/pamm.200610004" @default.
• W2122734996 hasPublicationYear "2006" @default.
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