Equilibrium theory for a lipid bilayer with a conforming cytoskeletal membrane

DOI10.2140/memocs.2020.8.69zbMath1444.53021OpenAlexW3025387818MaRDI QIDQ785216

Brett Hendrickson, Milad Shirani, David J. Steigmann

Publication date: 6 August 2020

Published in: Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/memocs.2020.8.69

zbMATH Keywords

differential geometrylipid bilayersred-blood cellsmembrane cytoskeleton

Mathematics Subject Classification ID

Shells (74K25) Applications of local differential geometry to the sciences (53B50)

Related Items (2)

Computational modeling of coupled interactions of fluid membranes with embedded filaments ⋮ On the equations of equilibrium for asymmetric tilted lipid bilayers

Cites Work

• On the response and symmetry of elastic and hyperelastic membrane points
• A mathematical theory of the mechanical behavior of continuous media
• Elastic materials with couple-stresses
• Symmetry considerations for material surfaces
• Energy-minimizing deformations of elastic sheets with bending stiffness
• A Cosserat-type model for the red blood cell wall
• Irreducible function bases for simple fluids and liquid crystal films
• Irreducible function bases for simple fluids and liquid crystal films: a new derivation
• Boundary value problems for variational integrals involving surface curvatures
• INEXTENSIBLE NETWORKS WITH BENDING STIFFNESS
• The Equations of Mechanical Equilibrium of a Model Membrane
• Tension-field theory
• Adhesive borders of lipid membranes
• Isometric bending requires local constraints on free edges

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