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

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

中国物理B ›› 2015, Vol. 24 ›› Issue (9): 98702-098702.doi: 10.1088/1674-1056/24/9/098702

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

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

曹思勤^a, 韦广红^a, Jeff Z. Y. Chen^b

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

收稿日期:2015-01-22 修回日期:2015-03-23 出版日期:2015-09-05 发布日期:2015-09-05
基金资助:
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.

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. Chen^b

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

Received:2015-01-22 Revised:2015-03-23 Online:2015-09-05 Published:2015-09-05
Contact: Wei Guang-Hong, Jeff Z. Y. Chen E-mail:ghwei@fudan.edu.cn;jeffchen@uwaterloo.ca
Supported by:
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.

摘要/Abstract

摘要： 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.

关键词: membrane conformation, Helfrich model, nano-particle adsorption, phase transition

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.

Key words: membrane conformation, Helfrich model, nano-particle adsorption, phase transition

中图分类号: (Structure, static correlations, domains, and rafts)

87.16.dt

46.70.Hg (Membranes, rods, and strings) 68.03.Cd (Surface tension and related phenomena) 87.17.Aa (Modeling, computer simulation of cell processes)

曹思勤, 韦广红, Jeff Z. Y. Chen. Bending energy of a vesicle to which a small spherical particle adhere: An analytical study[J]. 中国物理B, 2015, 24(9): 98702-098702.

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[J]. Chin. Phys. B, 2015, 24(9): 98702-098702.

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

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

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