Notes on superposed incremental deformations in the mechanics of lipid membranes

DOI10.1177/1081286517734608zbMath1425.74273OpenAlexW2766886464WikidataQ58620430 ScholiaQ58620430MaRDI QIDQ5243034

Mahdi Zeidi, Chun IL Kim

Publication date: 13 November 2019

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

Full work available at URL: https://doi.org/10.1177/1081286517734608

zbMATH Keywords

analytic solutionlipid bilayersshape equationfinite domainsubstrate-membrane interaction

Mathematics Subject Classification ID

Membranes (74K15)

Related Items (3)

Mechanics of lipid membranes under the influence of intramembrane viscosity ⋮ Deformation analysis of nonuniform lipid membrane subjected to local inflammations ⋮ An analysis of lipid membrane morphology in the presence of coordinate-dependent non-uniformity

Cites Work

• Analytical solution of lipid membrane morphology subjected to boundary forces on the edges of rectangular membranes
• Boundary value problems in the theory of lipid membranes
• A mathematical theory of the mechanical behavior of continuous media
• Hydrostatic theory of liquid crystals
• An admissibility condition for equilibrium shocks in finite elasticity
• On the variational theory of cell-membrane equilibria
• Distension-induced gradient capillarity in lipid membranes
• Implications Of Hadamard's Conditions For Elastic Stability With Respect To Uniqueness Theorems
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