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. Chenb   

  1. 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. Chenb   

  1. 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: 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)