Abstract
Two introductory sections describe different aspects of membranes and give a short history of membrane research. The main part of this paper is concerned with (i) the morphology of vesicles and (ii) the adhesion and interaction of membranes. [1] The morphology of vesicles can be understood in the framework of curvature models. One particularly intriguing class of shape transformations are budding or invagination phenomena. Adhesion of membranes leads to additional shape transformation and to unbinding transitions driven by thermally-excited shape fluctuations. For two interacting surfaces, one has a whole line of nontrivial transitions. Recent theoretical work indicates that such a line also governs the unbinding for bunches of more than two membranes.
Preview
Unable to display preview. Download preview PDF.
References
For a review, see R. Lipowsky, Nature 349, 475 (1991)
C. Tanford, The hydrophobic effect (Wiley, New York 1980)
G. Cevc and D. Marsh, Phospholipid bilayers (Wiley, New York 1987); D. Marsh, CRC Handbook of Lipid Bilayers (CRC Press, Boca Raton 1990)
K. Berndl, J. Käs, R. Lipowsky, E. Sackmann, and U. Seifert, Europhys. Lett. 13, 659 (1990)
J. Käs and E. Sackmann, Biophys. J. 60, 1 (1991)
U. Seifert, K. Berndl, and R. Lipowsky, Phys. Rev. A 44, 1182 (1991)
E. Sackmann, in Biophysics, ed. by W. Hoppe et al. (Springer, Berlin, 1983)
B. Alberts, D. Bray, J. Lewis, M. Raff, K. Roberts, and J.D. Watson, Molecular Biology of the Cell (Garland Publishing, New York 1983)
For a review, see R.M. Clegg, and W.L.C. Vaz, in Progress in Protein-Lipid Interactions, ed. by Watts and De Pont (Elsevier Science Publishers 1985) p. 173–229
L.D. Landau, and E.M. Lifschitz, Theory of Elasticity (Pergamon, New York 1970)
P.B. Canham, J. Theor. Biol. 26, 61–81 (1970)
W. Helfrich, Z. Naturforsch. 28c, 693–703 (1973)
E. Evans, Biophys. J. 14, 923–931 (1974)
H.P. Duwe, J. Kaes, and E. Sackmann, J. Phys. France 51, 945–962 (1990)
M. Mutz, and W. Helfrich, J. Phys. France 51, 991–1002 (1990)
H.J. Deuling and W. Helfrich, J. Physique 37, 1335 (1976)
L. Miao, B. Fourcade, M. Rao, M. Wortis, and R.K.P. Zia, Phys. Rev. A 43, 6843 (1991)
U. Seifert, J. Phys. (Paris) C 7, 339 (1990); Phys. Rev. Lett. 66, 2404 (1991)
Ou-Yang Zhong-can, Phys. Rev. A 41, 4517 (1990)
B. Fourcade, M. Mutz, and D. Bensimon, Ecole Normale preprint
C. Gebhardt, H. Gruler, and E. Sackmann, Z. Naturforsch. 32c, 981 (1977)
R. Lipowsky (to be published)
R. Lipowsky, in Random Fluctuations and Growth, ed. by Stanley, H.E., and Ostrowsky, N. (Kluwer Academic Publishers, Dordrecht 1988), p. 227–245
F. Brochard and J.F. Lennon, J. Phys. (Paris) 36, 1035 (1975)
R. Lipowsky and M. Girardet, Phys. Rev. Lett. 65, 2893 (1990), Phys. Rev. Lett. 67, 1670 (1991)
F.F. Abraham, Phys. Rev. Lett. 67, 1669 (1991)
S. Komura and R. Lipowsky (to be published)
This approach was first applied to the dynamic unbinding of interfaces, see R. Lipowsky, J. Phys. A 18, L585 (1985)
R. Lipowsky, Physica Scripta T 29, 259 (1989)
R. Lipowsky and B. Zielinska, Phys. Rev. Lett. 62, 1572 (1989)
E. Frey and D.R. Nelson, Harvard preprint
E. Evans, Colloids and Surfaces 43, 227 (1990)
U. Seifert and R. Lipowsky, Phys. Rev. A42, 4768 (1990)
R. Lipowsky and U. Seifert, Langmuir 7, 1867 (1991)
R. Lipowsky and U. Seifert, Mol. Cryst. Liq. Cryst. 202, 17 (1991)
C. Czaja, G. Jekutsch, B. Rothenhäusler, and H.E. Gaub, in Biosensors international workshop 1987, ed. by R.D. Schmid (VCH Verlag, Weinheim 1988) p. 339
G. Cevc, W. Fenzl, and L. Sigl, Science 249, 1161 (1990)
R.P. Rand and V.A. Parsegian, Biochem. biophys. Acta 988, 351 (1989)
See, e.g., Israelachvili, J.N., Intermolecular and Surface Forces, (Academic Press, London 1985)
R. Lipowsky and S. Leibler, Phys. Rev. Lett. 56, 2541 (1986), and 59, 1983 (E) (1987)
Lipowsky, R., und Fisher, M.E., Phys. Rev. Lett. 57, 2411–2414 (1986), and Phys. Rev. B36, 2126–2141 (1987)
R. Lipowsky, Europhys. Lett. 7, 255 (1988), Phys. Rev. Lett. 62, 704 (1989)
S. Grotehans and R. Lipowsky, Phys. Rev. A 41, 4574 (1990)
R. Lipowsky and T.M. Niewenhuizen, J. Phys. A 21, L 89 (1988)
F. Jülicher, R. Lipowsky, H. Müller-Krumbhaar, Europhys. Lett. 11, 657 (1950)
H. Spohn, Europhys. Lett. 14, 689 (1991)
M. Mutz and W. Helfrich, Phys. Rev. Lett. 62, 2881 (1989)
J. Cook-Röder and R. Lipowsky, Europhys. Lett. (in press)
R. Lipowsky and J. Cook-Röder, Proc. MRS Symposium on Complex Fluids, Boston 1991 (in press)
M.E. Fisher and M. Gelfand, J. Stat. Phys. 53, 175 (1988)
W. Helfrich, Z. Naturforschung 33a, 305–315 (1978) has discussed such a geometry for fluid membranes.
G. Gompper and D.M. Kroll, Europhys. Lett. 9, 59 (1989) have studied a bunch of fluid membranes which are confined by two rigid walls.
For a recent theoretical development, see U. Seifert, L. Miao, H.-G. Döbereiner, and M. Wortis, in Structure and Conformation of Amphiphilic Membranes, ed. by R. Lipowsky, D. Richter, and K. Kremer (Springer-Verlag, 1991)
D.R. Nelson, T. Piran, and S. Weinberg (eds.), Statistical Mechanics of Membranes and Surfaces (World Scientific, Singapore, 1988)
A. Baumgärtner, J. Phys. I France 1, 1549 (1991)
D.M. Kroll and G. Gompper, Science (in press); D.H. Boal and M. Rao, Simon Fraser preprint
See, e.g., M. Bloom, Physics in Canada 48, 7 (1992)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH
About this chapter
Cite this chapter
Lipowsky, R. (1992). The physics of flexible membranes. In: Festkörperprobleme 32. Advances in Solid State Physics, vol 32. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108619
Download citation
DOI: https://doi.org/10.1007/BFb0108619
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-528-08040-2
Online ISBN: 978-3-540-75341-4
eBook Packages: Springer Book Archive