Kinks in two-phase lipid bilayer membranes

DOI10.1007/s00526-012-0550-zzbMath1272.49091arXiv1603.02721OpenAlexW2049200757MaRDI QIDQ368540

Michael Helmers

Publication date: 23 September 2013

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02721

zbMATH Keywords

phase field model\(\Gamma\)-convergencetwo-phase lipid bilayer membrane

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Biomechanics (92C10) Membranes (74K15) Phase transitions (general) in equilibrium statistical mechanics (82B26) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (7)

On the sharp interface limit of a phase field model for near spherical two phase biomembranes ⋮ Existence of varifold minimizers for the multiphase Canham-Helfrich functional ⋮ Phase separation on varying surfaces and convergence of diffuse interface approximations ⋮ Variational models for the interaction of surfactants with curvature – existence and regularity of minimizers in the case of flexible curves ⋮ Direct minimization of the Canham-Helfrich energy on generalized Gauss graphs ⋮ Gradient flow dynamics of two-phase biomembranes: Sharp interface variational formulation and finite element approximation ⋮ Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Relating diameter and mean curvature for submanifolds of Euclidean space
• Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches
• Modeling and computation of two phase geometric biomembranes using surface finite elements
• A numerical scheme for axisymmetric solutions of curvature-driven free boundary problems, with applications to the Willmore flow
• The gradient theory of phase transitions and the minimal interface criterion
• SNAPPING ELASTIC CURVES AS A ONE-DIMENSIONAL ANALOGUE OF TWO-COMPONENT LIPID BILAYERS
• Approximation of functional depending on jumps by elliptic functional via t-convergence
• Approximation of Helfrich's Functional via Diffuse Interfaces
• A Surface Phase Field Model for Two-Phase Biological Membranes

This page was built for publication: Kinks in two-phase lipid bilayer membranes