Electrostatic Forces on Charged Surfaces of Bilayer Lipid Membranes

DOI10.1137/130904600zbMath1293.35317arXiv1301.1104OpenAlexW2962766237MaRDI QIDQ5418049

Michael Mikucki, Yongcheng Zhou

Publication date: 26 May 2014

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1104

zbMATH Keywords

Poisson-Boltzmann equationshape derivativeelectromechanicssurface chargedielectric boundary forcelipid bilayer membranedielectric interface

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of polymers (82D60) Variational methods applied to PDEs (35A15) Electromagnetic effects in solid mechanics (74F15) Cell biology (92C37) Electro- and magnetostatics (78A30) Variational principles of physics (49S05) Boltzmann equations (35Q20)

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Enriched gradient recovery for interface solutions of the Poisson-Boltzmann equation ⋮ A computational model of protein induced membrane morphology with geodesic curvature driven protein-membrane interface ⋮ Geodesic curvature driven surface microdomain formation ⋮ The calculus of boundary variations and the dielectric boundary force in the Poisson-Boltzmann theory for molecular solvation

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