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A variational approach to particles in lipid membranes

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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 ISSN 0003-9527. [ 🗎 Public]. [ (✓) hoa:511 ]

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Official URL: http://dx.doi.org/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, Engineering and Medicine > 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:
DateEvent
November 2016Published
10 June 2016Available
25 April 2016Accepted
8 December 2015Submitted
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 (Creative Commons)
Date of first compliant deposit: 29 April 2016
Date of first compliant Open Access: 3 May 2016
Funder: Deutsche Forschungsgemeinschaft (DFG), Engineering and Physical Sciences Research Council (EPSRC)
Grant number: AP01 of CRC 1114 (DFG), EP/H023364/1 (EPSRC)
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