Mechanical equilibrium of thick, hollow, liquid membrane cylinders.


Journal Article

The mechanical equilibrium of bilayer membrane cylinders is analyzed. The analysis is motivated by the observation that mechanically formed membrane strands (tethers) can support significant axial loads and that the tether radius varies inversely with the axial force. Previously, thin shell theory has been used to analyze the tether formation process, but this approach is inadequate for describing and predicting the equilibrium state of the tether itself. In the present work the membrane is modeled as two adjacent, thick, anisotropic liquid shells. The analysis predicts an inverse relationship between axial force and tether radius, which is consistent with experimental observation. The area expansivity modulus and bending stiffness of the tether membrane are calculated using previously measured values of tether radii. These calculated values are consistent with values of membrane properties measured previously. Application of the analysis to precise measurements of the relationship between tether radius and axial force will provide a novel method for determining the mechanical properties of biomembrane.

Full Text

Duke Authors

Cited Authors

  • Waugh, RE; Hochmuth, RM

Published Date

  • September 1987

Published In

Volume / Issue

  • 52 / 3

Start / End Page

  • 391 - 400

PubMed ID

  • 3651558

Pubmed Central ID

  • 3651558

Electronic International Standard Serial Number (EISSN)

  • 1542-0086

International Standard Serial Number (ISSN)

  • 0006-3495

Digital Object Identifier (DOI)

  • 10.1016/s0006-3495(87)83227-7


  • eng