70 citations · 244 across the 29 of their papers we have counts for
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math.AP2016
A coupled ligand-receptor bulk-surface system on a moving domain: well posedness, regularity and convergence to equilibrium
Amal Alphonse, Charles M. Elliott, Joana Terra
We prove existence, uniqueness, and regularity for a reaction-diffusion system of coupled bulk-surface equations on a moving domain modelling receptor-ligand dynamics in cells. The…
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…