Bending models of lipid bilayer membranes: spontaneous curvature and area-difference elasticity
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Publication:2175108
DOI10.1016/j.cma.2019.112758zbMath1441.74298arXiv1905.00240OpenAlexW2943547537WikidataQ126636929 ScholiaQ126636929MaRDI QIDQ2175108
Petros Koumoutsakos, Sergey Litvinov, Xin Bian
Publication date: 28 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.00240
Applications of differential geometry to physics (53Z05) Membranes (74K15) Numerical and other methods in solid mechanics (74S99)
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Cites Work
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- Short note on the bending models for a membrane in capsule mechanics: comparison between continuum and discrete models
- Universal formulae for the limiting elastic energy of membrane networks
- A fast algorithm for simulating vesicle flows in three dimensions
- A Lagrangian particle method for reaction-diffusion systems on deforming surfaces
- 3D vesicle dynamics simulations with a linearly triangulated surface
- Applications of level set methods in computational biophysics
- On the equilibrium equation for a generalized biological membrane energy by using a shape optimization approach
- On the bending algorithms for soft objects in flows
- A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
- Computing Vertex Normals from Polygonal Facets
- Computing Discrete Minimal Surfaces and Their Conjugates
- Geometric Methods in Elastic Theory of Membranes in Liquid Crystal Phases
- Robust fairing via conformal curvature flow
- Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations
- The Surface Evolver
