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Small deformations of Helfrich energy minimising surfaces with applications to biomembranes

Elliott, Charles M. ; Fritz, Hans ; Hobbs, Graham


In this paper, we introduce a mathematical model for small deformations induced by external forces of closed surfaces that are minimisers of Helfrich-type energies. Our model is suitable for the study of deformations of cell membranes induced by the cytoskeleton. We describe the deformation of the surface as a graph over the undeformed surface. A new Lagrangian and the associated Euler-Lagrange ...


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