A variational approach to particles in lipid membranes

DOI10.1007/s00205-016-1016-9zbMath1362.35311arXiv1512.02375OpenAlexW2286636331MaRDI QIDQ338104

Carsten Gräser, Charles M. Elliott, Graham Hobbs, Ralf Kornhuber, Maren-Wanda Wolf

Publication date: 4 November 2016

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02375

zbMATH Keywords

hybrid modelsproteins in lipid membranes

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Biophysics (92C05) Membranes (74K15) Integro-partial differential equations (35R09)

Related Items (11)

A formula for membrane mediated point particle interactions on near spherical biomembranes ⋮ A Lagrangian formulation for interacting particles on a deformable medium ⋮ Second order splitting of a class of fourth order PDEs with point constraints ⋮ Transport phenomena in fluid films with curvature elasticity ⋮ Adhesion of an elastic sphere on a tensioned membrane ⋮ Mini-workshop: PDE models of motility and invasion in active biosystems. Abstracts from the mini-workshop held October 22--28, 2017 ⋮ Small deformations of spherical biomembranes ⋮ Small deformations of Helfrich energy minimising surfaces with applications to biomembranes ⋮ Second order splitting for a class of fourth order equations ⋮ On differentiability of the membrane-mediated mechanical interaction energy of discrete-continuum membrane-particle models ⋮ Domain formation via phase separation for spherical biomembranes with small deformations

Cites Work

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• Partial localization, lipid bilayers, and the elastica functional
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• Computation of geometric partial differential equations and mean curvature flow
• The Finite Element Method with Penalty
• Computation of Two-Phase Biomembranes with Phase DependentMaterial Parameters Using Surface Finite Elements
• A continuum model of lipid bilayers
• Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations
• Finite element methods for surface PDEs
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