23 citations · 37 across the 15 of their papers we have counts for
4 papers · 1 filter
Small deformations of a near cylindrical tube for the Canham-Helfrich Energy with applications to biological membranes
Charles M. Elliott, Carsten Gräser, Philip J. Herbert
In this article we develop a quadratic energy which approximates the Canham-Helfrich energy for a tube-like surface with clamped boundary and area constraint. The energy is suited…
An evolving space framework for Oseen equations on a moving domain
Ana Djurdjevac, Carsten Gräser, Philip J. Herbert
This article considers non-stationary incompressible linear fluid equations in a moving domain. We demonstrate the existence and uniqueness of an appropriate weak formulation of th…
A formula for membrane mediated point particle interactions on near spherical biomembranes
Charles M. Elliott, Philip J. Herbert
We consider a model of a biomembrane with attached proteins. The membrane is represented by a near spherical continuous surface and attached proteins are described as discrete rigi…
Small deformations of spherical biomembranes
Charles M. Elliott, Luke Hatcher, Philip J. Herbert
In this contribution to the proceedings of the 11th Mathematical Society of Japan (MSJ) Seasonal Institute (July 2018) we give an overview of some recent work on a mathematical mod…