Microphysical derivation of the Canham-Helfrich free-energy density

DOI10.1007/S00285-013-0647-9zbMath1345.92020arXiv1211.0880OpenAlexW2065981410WikidataQ41540404 ScholiaQ41540404MaRDI QIDQ2441553

Eliot Fried, Brian Seguin

Publication date: 25 March 2014

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.0880

zbMATH Keywords

lipid bilayerbiomembraneCanham-Helfrich energy

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Biomechanics (92C10) Biophysics (92C05)

Related Items (10)

Generation of tubular and membranous shape textures with curvature functionals ⋮ A new two-component approach in modeling red blood cells ⋮ Connected surfaces with boundary minimizing the Willmore energy ⋮ Calculating the Bending Moduli of the Canham–Helfrich Free-Energy Density ⋮ Direct minimization of the Canham-Helfrich energy on generalized Gauss graphs ⋮ Variational analysis of a mesoscale model for bilayer membranes ⋮ Biomembrane modeling with isogeometric analysis ⋮ Gamma convergence of a family of surface-director bending energies with small tilt ⋮ Simulation of Multiscale Hydrophobic Lipid Dynamics via Efficient Integral Equation Methods ⋮ A highly anisotropic nonlinear elasticity model for vesicles. I: Eulerian formulation, rigidity estimates and vanishing energy limit

Cites Work

• Statistical foundations of liquid-crystal theory. I: Discrete systems of rod-like molecules
• Fluid films with curvature elasticity
• Unnamed Item

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