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Elastic Properties of Lipid Bilayers: Theory and Possible Experiments
Open accessAbstract
A theory of the elasticity of lipid bilayers is proposed. Three types of strain, i. e. stretching, tilt and curvature, are distinguished and the associated stresses are identified. It is argued that in the case of vesicles (= closed bilayer films) the only elasticity controlling nonspherical shapes is that of curvature. Euler-Lagrange equations are derived for the shape in magnetic fields and under excess outside pressure. It is shown that magnetic fields can deform spherical vesicles into ellipsoids of revolution. Under excess outside pressure the spherical shape becomes unstable at a certain threshold pressure. Both effects can be influenced by a spontaneous curvature of the bilayer. Some possible experiments to determine the elastic properties are also discussed
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Cited by
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Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
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Seifert, U. (1997) · Advances in Physics · doi:10.1080/00018739700101488 · Cited by 1,650
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Zhang, S., Gao, H., & Bao, G. (2015) · ACS Nano · doi:10.1021/acsnano.5b03184 · Cited by 1,103
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Sakamoto, J., van Heijst, J., Lukin, O., & Schlüter, A. D. (2009) · Angewandte Chemie International Edition · doi:10.1002/anie.200801863 · Cited by 734
Metadata
- Authors
- Helfrich, W.
- Venue
- Zeitschrift für Naturforschung C
- Publisher
- Walter de Gruyter GmbH
- Published
- 1973-12-01
- Volume
- 28
- Issue
- 11-12
- Pages
- 693-703
- ISSN
- 0341-0471 (ISSN-L)
- 1865-7125
- 0939-5075
- OpenAlex
- W2264936970
- Cited by
- 6,141
- References
- 0
- FWCI
- 1.34
- Type
- journal article
- Language
- en
- Open access
- hybrid
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