IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/3412129.html
   My bibliography  Save this article

Mechanics of Lipid Membranes under the Influence of Intramembrane Viscosity

Author

Listed:
  • Chun Il Kim
  • Zhe Liu

Abstract

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.

Suggested Citation

  • Chun Il Kim & Zhe Liu, 2019. "Mechanics of Lipid Membranes under the Influence of Intramembrane Viscosity," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-13, April.
    • Handle: RePEc:hin:jnlmpe:3412129
    DOI: 10.1155/2019/3412129
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2019/3412129.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2019/3412129.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/3412129?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnlmpe:3412129. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.