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Bending energy of a vesicle to which a small spherical particle adhere: An analytical study |
Cao Si-Qin (曹思勤)a, Wei Guang-Hong (韦广红)a, Jeff Z. Y. Chenb |
a State Key Laboratory of Surface Physics, Key Laboratory for Computational Physical Sciences (Ministry of Education), Department of Physics, Fudan University, Shanghai 200433, China; b Department of Physics and Astronomy, University of Waterloo, Ontario N2L3G1, Canada |
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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.
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Received: 22 January 2015
Revised: 23 March 2015
Accepted manuscript online:
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PACS:
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87.16.dt
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(Structure, static correlations, domains, and rafts)
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46.70.Hg
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(Membranes, rods, and strings)
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68.03.Cd
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(Surface tension and related phenomena)
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87.17.Aa
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(Modeling, computer simulation of cell processes)
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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
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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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