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Mechanics of Lipid Membranes under the Influence of Intramembrane Viscosity
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-07
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We discuss a continuum-based model describing the deformations of lipid membranes subjected to intramembrane viscosity.
Within the frame work of the theory of an elastic surface, the membrane equilibrium equations and the expressions of viscous stress are obtained.
The corresponding deformation energy of the membrane is computed via the first and second fundamental form of surface.
A compatible linear model is also formulated within the prescription of superposed incremental deformations through which the deformation profiles of the membrane is obtained.
It is shown that the intramembrane viscous flow gives rise to straining effects on the membranes.
Further, the corresponding dynamic edge conditions reduce to purely elastic boundary conditions in the limit of vanishing viscous effects.
Lastly, admissible sets of velocity fields are also examined and are used to formulate membrane shape equations and the associated dynamic boundary conditions.
American Psychological Association (APA)
Kim, Chun IL& Liu, Zhe. 2019. Mechanics of Lipid Membranes under the Influence of Intramembrane Viscosity. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1195128
Modern Language Association (MLA)
Kim, Chun IL& Liu, Zhe. Mechanics of Lipid Membranes under the Influence of Intramembrane Viscosity. Mathematical Problems in Engineering No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1195128
American Medical Association (AMA)
Kim, Chun IL& Liu, Zhe. Mechanics of Lipid Membranes under the Influence of Intramembrane Viscosity. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1195128
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195128