Skip to main content Accessibility help

Continuum Modeling of Bilayer Lipid Membranes

  • Raffaella De Vita (a1), David Hopkinson (a2), Vishnu B. Sundaresan (a3) and Donald J. Leo (a4)


A continuum model is used for the description of the mechanical response of bilayer lipid membranes (BLMs) subjected to hydrostatic pressure. The model is formulated under the assumption that the BLMs are Smectic A liquid crystals. The mean orientation of the amphiphilic molecules is postulated to be perpendicular to the lipid layers and each layer is idealized as a two dimensional liquid. The permeation process governs the motion of the molecules through the smectic layers. The approach taken in this study is based on the seminal works of Helfrich [1] and de Gennes [2] on Smectic A liquid crystals. The failure process of the BLMs, which is observed in the experimental studies, is considered to be due to extrusion of the BLMs through the pores of the polycarbonate filters.



Hide All
1. Helfrich, W.. Phys. Rev. Lett., 23, 372 (1969).
2. Gennes, P. G. de and Prost, J.. The Physics of Liquid Crystals. Oxford Science Publications, second edition (1993).
3. Leo, D.. Adv. Mater. Processes, 163, 25, 2005..
4. Sackmann, E.. Science, 271, 43 (1996).
5. Tien, T. H. and Ottowa, A. L.. J. Membrane Sc., 189, 83 (2001).
6. Worsfold, O., Toma, C., and Nishiya, T.. Biosens. Bioelectron., 19, 1505 (2004).
7. Collings, P. J. and Hird, M.. Introduction to Liquid Crystals Chemistry and Physics. Taylor & Francis, London and New York (1997).
8. Mueller, P., Donald, O. R., Tien, H. T., and Wescott, W. C.. J. Phys. Chem., 67, 534 (1963).
9. Martin, P. C., Parodi, O., and Pershan, P. S.. Phys. Rev. A, 6 (6), 2401 (1972).
10. Leger, L. and Martinet, A.. J. Phys. (Paris), 37, 89 (1976).
11. Chan, W. K. and Webb, W. W.. Phys. Rev. Lett., 46 (6), 603 (1981).
12. Dufrene, Y. F., Boland, T., Schneider, J. W., Barger, W. R., and Lee, G. U.. Faraday Discuss., 111, 79 (1998).
13. Jing, Z. and Run-Guang, S.. Chi. Phys. Soc., 11, 776 (2002).
14. Kunneke, S., Kruger, D., and Janshoff, A.. Biophys. J., 86, 1545 (2004).
15. Ries, R. S., Choi, H., Blunck, R., Bezanilla, F., and Heath, J. R.. J. Phys. Chem. B, 108, 16040, 2004..
16. Kato, M., Ozawa, S., and Hayashi, R.. Lipids, 32, 1229, 1997..


Related content

Powered by UNSILO

Continuum Modeling of Bilayer Lipid Membranes

  • Raffaella De Vita (a1), David Hopkinson (a2), Vishnu B. Sundaresan (a3) and Donald J. Leo (a4)


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.