Small deformations of spherical biomembranes
DOI10.2969/aspm/08510039zbMath1473.35595arXiv1911.02964OpenAlexW2985797019MaRDI QIDQ2042446
Luke Hatcher, Philip J. Herbert, Charles M. Elliott
Publication date: 20 July 2021
Full work available at URL: https://arxiv.org/abs/1911.02964
Numerical optimization and variational techniques (65K10) 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) Biomechanical solid mechanics (74L15) Cell biology (92C37) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Ginzburg-Landau equations (35Q56) Integro-partial differential equations (35R09) PDE constrained optimization (numerical aspects) (49M41)
Uses Software
Cites Work
- A variational approach to particles in lipid membranes
- Domain formation in membranes near the onset of instability
- 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
- Existence of surfaces minimizing the Willmore functional
- Computation of Two-Phase Biomembranes with Phase DependentMaterial Parameters Using Surface Finite Elements
- Small deformations of Helfrich energy minimising surfaces with applications to biomembranes
- CONVERGENCE OF AN APPROXIMATION FOR ROTATIONALLY SYMMETRIC TWO-PHASE LIPID BILAYER MEMBRANES
- A Surface Phase Field Model for Two-Phase Biological Membranes
- Finite element methods for surface PDEs
- Symmetry-Breaking Global Bifurcation in a Surface Continuum Phase-Field Model for Lipid Bilayer Vesicles
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