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math.AP2016★ 1 cited
Small deformations of Helfrich energy minimising surfaces with applications to biomembranes
Charles M. Elliott, Hans Fritz, Graham Hobbs
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 sui…
math.AP2015★ 16 cited
A Variational Approach to Particles in Lipid Membranes
Charles M. Elliott, Carsten Gräser, Graham Hobbs +2
A variety of models for the membrane-mediated interaction of particles in lipid membranes, mostly well-established in theoretical physics, is reviewed from a mathematical perspecti…