Elliott, Charles M., Graser, Carsten, Hobbs, Graham, Kornhuber, R. and Wolf, Maren-Wanda (2016) A variational approach to particles in lipid membranes. Archive for Rational Mechanics and Analysis, 222 (2). pp. 1011-1075. doi:10.1007/s00205-016-1016-9

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Abstract

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 perspective. We provide mathematically consistent formulations in a variational framework, relate apparently different modelling approaches in terms of successive approximation, and investigate existence and uniqueness. Numerical computations illustrate that the new variational formulations are directly accessible to effective numerical methods.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QH Natural history > QH301 Biology
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Lipid membranes -- Mathematical models
Journal or Publication Title:	Archive for Rational Mechanics and Analysis
Publisher:	Springer
ISSN:	0003-9527
Official Date:	November 2016
Dates:	Date Event November 2016 Published 10 June 2016 Available 25 April 2016 Accepted 8 December 2015 Submitted
Volume:	222
Number:	2
Number of Pages:	65
Page Range:	pp. 1011-1075
DOI:	10.1007/s00205-016-1016-9
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
Funder:	Deutsche Forschungsgemeinschaft (DFG), Engineering and Physical Sciences Research Council (EPSRC)
Grant number:	AP01 of CRC 1114 (DFG), EP/H023364/1 (EPSRC)
Open Access Version:	ArXiv

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