Paper Info
Title
Bending models of lipid bilayer membranes: Spontaneous curvature and area-difference elasticity
Abstract
We present a computational study of bending models for the curvature elasticity of lipid bilayer membranes that are relevant for simulations of vesicles and red blood cells. We compute bending energy and forces on triangulated meshes and evaluate and extend four well established schemes for their approximation: Kantor and Nelson (1987), Jülicher (1996), Gompper and Kroll (1996) and Meyer et al. (2003), termed A, B, C, D. We present a comparative study of these four schemes on the minimal bending model and propose extensions for schemes B, C and D. These extensions incorporate the reference state and non-local energy to account for the spontaneous curvature, bilayer coupling, and area-difference elasticity models. Our results indicate that the proposed extensions enhance the schemes to account for shape transformation including budding/vesiculation as well as for non-axisymmetric shapes. We find that the extended scheme B is superior to the rest in terms of accuracy, and robustness as well as simplicity of implementation. We demonstrate the capabilities of this scheme on several benchmark problems including the budding-vesiculating process and the reproduction of the phase diagram of vesicles.
Year
DOI
Venue
2019
10.1016/j.cma.2019.112758
Computer Methods in Applied Mechanics and Engineering
Keywords
DocType
Volume
74S30,53Z05
Journal
359
ISSN
Citations 
PageRank 
0045-7825
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Xin Bian163.91
Sergey Litvinov200.68
Petros Koumoutsakos3106584.99