Abstract.
We present a model of bi-phasic vesicles in the limit of large surface tension. In this regime, the vesicle is completely stretched and well described by two spherical caps with a fold, which concentrates the membrane stress. The conservation laws and geometric constraints restrict the space of possible shapes to a pair of solutions labeled by a parameter \( \tilde{{\sigma}}\) given by line tension/pressure. For a given value of \( \tilde{{\sigma}}\), the two solutions differ by the length of the interface between domains. For a critical value, \( \tilde{{\sigma}}_{c}^{}\), the two vesicle shapes become identical and no connected solution exists above this critical value. This model sheds new light on two proposed mechanisms (osmotic shocks and molecule absorption) to explain the budding and the fission in recent experiments.
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References
K. Simons, E. Ikonen, Nature 387, 569 (1997).
D.A. Brown, E. London, J. Biol. Chem. 275, 17221 (2000).
N. Chazal, D. Gerlier, Microbiol. Mol. Biol. Rev. 67, 226 (2003).
G. van Meer, H. Sprong, Curr. Opin. Cell Biol. 16, 373 (2004).
C. Dietrich, L.A. Bagatolli, Z.N. Volovyk, N.L. Thompson, M. Levi, K. Jacobson, E. Gratton, Biophys. J. 80, 1417 (2001).
S.L. Veatch, S.L. Keller, Biophys. J. 85, 3074 (2003).
R. de Almeida, A. Fedorov, M. Prieto, Biophys. J. 85, 2406 (2003).
J.M. Allain, C. Storm, A. Roux, M.B. Amar, J.F. Joanny, Phys. Rev. Lett. 93, 158104 (2004).
T. Baumgart, S.T. Hess, W.W. Webb, Nature 425, 821 (2003).
G. Staneva, personal communication.
G. Staneva, M. Angelova, K. Koumanov, Chem. Phys. Lipids 129, 53 (2004).
G. Staneva, M. Seigneuret, K. Koumanov, G. Trugnan, M. Angelova, Chem. Phys. Lipids 136, 55 (2005).
U. Seifert, Phys. Rev. Lett. 70, 1335 (1993).
U. Seifert, Adv. Phys. 46, 13 (1997).
F. Jülicher, R. Lipowsky, Phys. Rev. E 53, 2670 (1996).
H. Döbereiner, E. Evans, M. Kraus, U. Seifert, M. Wortis, Phys. Rev. E 55, 4458 (1997).
T. Kohyama, D. Kroll, G. Gompper, Phys. Rev. E 68, 061905 (2003).
T. Tanaka, R. Sano, Y. Yamashita, M. Yamazaki, Langmuir 20, 9526 (2004).
P. Sens, Phys. Rev. Lett. 93, 108103 (2004).
S. Leibler, J. Phys. (Paris) 47, 507 (1986).
S. Mori, M. Wadati, J. Phys. Soc. Jpn. 62, 3557 (1993).
V. Kralj-Iglic, V. Heinrich, S. Svetina, B. Zeks, Eur. Phys. J. B 10, 5 (1999).
R. Lipowsky, J. Phys. II 2, 1825 (1992).
F. Jülicher, R. Lipowsky, Phys. Rev. Lett. 70, 2964 (1993).
S. Yamamoto, S. Hyodo, J. Chem. Phys. 118, 7937 (2003).
X.M. Li, M.M. Momsen, J.M. Smaby, H.L. Brockman, R.E. Brown, Biochemistry 40, 5954 (2001).
J.M. Holopainen, A.J. Metso, J.P. Mattila, A. Jutila, P.K.J. Kinnunen, Biophys. J. 86, 1510 (2004).
R. Lipowsky, E. Sackmann, Structure and Dynamics of Membranes, Handbook of Biological Physics (Elsevier, North-Holland, 1995).
D. Siegel, M. Kozlov, Biophys. J. 87, 366 (2004).
B. Bozic, S. Svetina, B. Zeks, R. Waugh, Biophys. J. 61, 963 (1992).
W. Wiese, W. Harbich, W. Helfrich, J. Phys.: Condens. Matter 4, 1467 (1992).
P. Devaux, R. Morris, Traffic 5, 241 (2004).
T. Bickel, C. Jeppesen, C. Marques, Eur. Phys. J. E 4, 33 (2001).
T. Weikl, M. Kozlov, W. Helfrich, Phys. Rev. E 57, 6988 (1998).
R. Lipowsky, H.G. Döbereiner, C. Hiergeist, V. Indrani, Physica A 249, 536 (1998).
Y. Kim, W. Sung, Europhys. Lett. 47, 292 (1999).
A. Evans, M. Turner, P. Sens, Phys. Rev. E 67, 041907 (2003).
D. Bartolo, J. Fournier, Eur. Phys. J. E 11, 141 (2003).
J.M. Allain, M. Ben Amar, Physica A 337, 531 (2004).
T. Baumgart, S. Das, W.W. Webb, J.T. Jenkins, Biophys. J. 89, 1067 (2005).
Y.J. Chen, P.H. Steen, J. Fluid Mech. 341, 245 (1997).
Y. Kozlovsky, M.M. Kozlov, Biophys. J. 85, 85 (2003).
B. Fourcade, L. Miao, M. Rao, M. Wortis, R. Zia, Phys. Rev. E 49, 5276 (1994).
M. Ben Amar, Y. Pomeau, Proc. R. Soc. London, Ser. A 453, 729 (1997).
A. Pogorelov, Bending of Surfaces and Stability of Shells, Vol. 72, Translations of Mathematical Monographs (American Mathematical Society, 1988).
C. Leduc, O. Campàs, K.B. Zeldovich, A. Roux, P. Jolimaitre, L. Bourel-Bonnet, B. Goud, J.F. Joanny, P. Bassereau, J. Prost, Proc. Natl. Acad. Sci. U.S.A. 101, 17096 (2004).
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Allain, J.M., Ben Amar, M. Budding and fission of a multiphase vesicle. Eur. Phys. J. E 20, 409–420 (2006). https://doi.org/10.1140/epje/i2006-10030-4
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DOI: https://doi.org/10.1140/epje/i2006-10030-4