A Variational Approach to Particles in Lipid Membranes

Elliott CM, Graeser C, Hobbs G, Kornhuber R, Wolf MW (2016)

Publication Type: Journal article

Publication year: 2016

Journal

Archive for Rational Mechanics and Analysis Springer Verlag (Germany)

Book Volume: 222

Pages Range: 1011-1075

Journal Issue: 2

DOI: 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.

Authors with CRIS profile

Carsten Gräser

Involved external institutions

University of Warwick GB United Kingdom (GB) Freie Universität Berlin DE Germany (DE)

How to cite

APA:

Elliott, C.M., Graeser, C., Hobbs, G., Kornhuber, R., & Wolf, M.-W. (2016). A Variational Approach to Particles in Lipid Membranes. Archive for Rational Mechanics and Analysis, 222(2), 1011-1075. https://dx.doi.org/10.1007/s00205-016-1016-9

MLA:

Elliott, Charles M., et al. "A Variational Approach to Particles in Lipid Membranes." Archive for Rational Mechanics and Analysis 222.2 (2016): 1011-1075.

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