Bending energy of a vesicle to which a small spherical particle adhere: An analytical study

doi:10.1088/1674-1056/24/9/098702

Abstract On the basis of Helfrich's bending energy model, we show that the adsorption process of a small spherical particle to a closed vesicle can be analytically studied by retaining the leading terms in an expansion of the shape equation. Our general derivation predicts the optimal binding sites on a vesicle, where the local membrane shape of the binding site could be non-axisymmetric before the continuous adhesion transition takes place. Our derivation avoids directly solving the shape equation and depends on an integration of the contact-line condition. The results are verified by several examples of independent numerical solutions.

Keywords: membrane conformation Helfrich model nano-particle adsorption phase transition

Received: 22 January 2015
Revised: 23 March 2015
Accepted manuscript online:

PACS:	87.16.dt	(Structure, static correlations, domains, and rafts)
	46.70.Hg	(Membranes, rods, and strings)
	68.03.Cd	(Surface tension and related phenomena)
	87.17.Aa	(Modeling, computer simulation of cell processes)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11074047 and 11274075), the Research Fund for the Doctoral Program of Higher Education of China (Grant No. RFDP-20100071110006), and the Natural Science and Science Engineering Council of Canada.

Corresponding Authors: Wei Guang-Hong, Jeff Z. Y. Chen
E-mail: ghwei@fudan.edu.cn;jeffchen@uwaterloo.ca

Cite this article:

Cao Si-Qin (曹思勤), Wei Guang-Hong (韦广红), Jeff Z. Y. Chen Bending energy of a vesicle to which a small spherical particle adhere: An analytical study 2015 Chin. Phys. B 24 098702

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Bending energy of a vesicle to which a small spherical particle adhere: An analytical study

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