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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
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Official URL: http://dx.doi.org/10.1007/s00205-016-1016-9
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 | ||||||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QH Natural history > QH301 Biology |
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| 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: |
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| Date of first compliant deposit: | 29 April 2016 | ||||||||||
| 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: |
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