Please wait a minute...
Chin. Phys. B, 2015, Vol. 24(9): 098702    DOI: 10.1088/1674-1056/24/9/098702
INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY Prev   Next  

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
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

[1] Hefrich W 1973 Z. Naturforsch. C 28 693
[2] Seifert U 1997 Adv. Phys. 46 13
[3] Muller M, Katsov K and Schick M 2006 Phys. Rep. 434 113
[4] Deuling H J and Helfrich W 1976 J. Phys. 37 1335
[5] Seifert U, Berndl K and Lipowsky R 1991 Phys. Rev. A 44 1182
[6] Pelkmans L, Kartenbeck J and Helenius A 2001 Nature Cell Biol. 3 473
[7] Sieczkarski S B and Whittaker G R 2002 J. Gen. Viro. 83 1535
[8] Pietiainen V, Marjomaki V, Upla P, Pelkmans L, Helenius A and Hyypia T 2004 Mol. Biol. Cell 15 4911
[9] Seifert U 1991 Phys. Rev. A 43 6803
[10] Seifert U and Lipowsky R 1990 Phys. Rev. A 42 4768
[11] Deserno M 2004 Phys. Rev. E 69 31903
[12] Nowek S A and Chou T 2008 Phys. Rev. E 78 021908
[13] Deserno M and Bickel T 2003 Europhys. Lett. 62 767
[14] Deserno M 2004 J. Phys.: Condens. Matter 16 S2061
[15] Noguchi H and Takasu M 2002 Biophys. J. 83 299
[16] Deserno M and Gelbart W M 2002 J. Phys. Chem. B 106 5543
[17] Cao S, Wei G H and Chen J Z Y 2011 Phys. Rev. E 84 050901
[18] Niu Y Q, Wei W, Zheng B, Zhang C X and Meng Q T 2014 Acta Phys. Sin. 63 038701 (in Chinese)
[19] Zheng B and Meng Q T 2014 Chin. Phys. B 23 038701
[20] Niu Y Q, Wei W, Zheng B, Zhang C X and Meng Q T 2013 Chin. Phys. B 22 128701
[21] Zhang J, Das S and Du Q 2009 J. Comp. Phys. 228 7837
[22] Zhao Y, Das S and Du Q 2010 Phys. Rev. E 81 041919
[23] Ou-Yang Z C and Helfrich W 1987 Phys. Rev. Lett. 59 2486
[24] Ou-Yang Z C and Helfrich W 1989 Phys. Rev. A 39 5280
[25] Capovilla R and Guven J 2002 J. Phys. A 35 6233
[26] Guven J 2004 J. Phys. A 37 L313
[27] Benoit J and Saxena A 2007 Phys. Rev. E 76 041912
[28] Góźdź W T 2007 Langmuir 23 5665
[29] Zimmerberg J and Kozlov M M 2006 Nature Rev. Mol. 7 9
[30] Weikl T R 2003 Eur. Phys. J. E 12 265
[31] Muller M M, Deserno M and Guven J 2005 Euro. Phys. J. 69 482
[32] Muller M M, Deserno M and Guven J 2007 Phys. Rev. E 76 011921
[33] Das S and Du Q 2008 Phys. Rev. E 77 011907
[34] Chen J Z Y, Liu Y and Liang H J 2009 Phys. Rev. Lett. 102 168103
[35] Mkrtchyan S, Ing C and Chen J Z Y 2010 Phys. Rev. E 81 011904
[36] Chen J Z Y and Mkrtchyan S 2010 Phys. Rev. E 81 041906
[37] Chen J Z Y 2010 Phys. Rev. E 82 060801
[38] Su Y C and Chen J Z Y 2013 Soft Matter 9 570
[39] Deserno M, Müller M M and Guven J 2007 Phys. Rev. E 76 011605
[40] Rodriguez-Garcia L R Arriaga, Mell M, Moleiro L H, Lopez-Monteroand Monroy F 2009 Phys. Rev. Lett. 102 128101
[1] Tailoring of thermal expansion and phase transition temperature of ZrW2O8 with phosphorus and enhancement of negative thermal expansion of ZrW1.5P0.5O7.75
Chenjun Zhang(张晨骏), Xiaoke He(何小可), Zhiyu Min(闵志宇), and Baozhong Li(李保忠). Chin. Phys. B, 2023, 32(4): 048201.
[2] Topological phase transition in network spreading
Fuzhong Nian(年福忠) and Xia Zhang(张霞). Chin. Phys. B, 2023, 32(3): 038901.
[3] Liquid-liquid phase transition in confined liquid titanium
Di Zhang(张迪), Yunrui Duan(段云瑞), Peiru Zheng(郑培儒), Yingjie Ma(马英杰), Junping Qian(钱俊平), Zhichao Li(李志超), Jian Huang(黄建), Yanyan Jiang(蒋妍彦), and Hui Li(李辉). Chin. Phys. B, 2023, 32(2): 026801.
[4] Prediction of flexoelectricity in BaTiO3 using molecular dynamics simulations
Long Zhou(周龙), Xu-Long Zhang(张旭龙), Yu-Ying Cao(曹玉莹), Fu Zheng(郑富), Hua Gao(高华), Hong-Fei Liu(刘红飞), and Zhi Ma(马治). Chin. Phys. B, 2023, 32(1): 017701.
[5] Magnetocaloric properties and Griffiths phase of ferrimagnetic cobaltite CaBaCo4O7
Tina Raoufi, Jincheng He(何金城), Binbin Wang(王彬彬), Enke Liu(刘恩克), and Young Sun(孙阳). Chin. Phys. B, 2023, 32(1): 017504.
[6] Configurational entropy-induced phase transition in spinel LiMn2O4
Wei Hu(胡伟), Wen-Wei Luo(罗文崴), Mu-Sheng Wu(吴木生), Bo Xu(徐波), and Chu-Ying Ouyang(欧阳楚英). Chin. Phys. B, 2022, 31(9): 098202.
[7] Hard-core Hall tube in superconducting circuits
Xin Guan(关欣), Gang Chen(陈刚), Jing Pan(潘婧), and Zhi-Guo Gui(桂志国). Chin. Phys. B, 2022, 31(8): 080302.
[8] Exchange-coupling-induced fourfold magnetic anisotropy in CoFeB/FeRh bilayer grown on SrTiO3(001)
Qingrong Shao(邵倾蓉), Jing Meng(孟婧), Xiaoyan Zhu(朱晓艳), Yali Xie(谢亚丽), Wenjuan Cheng(程文娟), Dongmei Jiang(蒋冬梅), Yang Xu(徐杨), Tian Shang(商恬), and Qingfeng Zhan(詹清峰). Chin. Phys. B, 2022, 31(8): 087503.
[9] Effect of f-c hybridization on the $\gamma\to \alpha$ phase transition of cerium studied by lanthanum doping
Yong-Huan Wang(王永欢), Yun Zhang(张云), Yu Liu(刘瑜), Xiao Tan(谈笑), Ce Ma(马策), Yue-Chao Wang(王越超), Qiang Zhang(张强), Deng-Peng Yuan(袁登鹏), Dan Jian(简单), Jian Wu(吴健), Chao Lai(赖超), Xi-Yang Wang(王西洋), Xue-Bing Luo(罗学兵), Qiu-Yun Chen(陈秋云), Wei Feng(冯卫), Qin Liu(刘琴), Qun-Qing Hao(郝群庆), Yi Liu(刘毅), Shi-Yong Tan(谭世勇), Xie-Gang Zhu(朱燮刚), Hai-Feng Song(宋海峰), and Xin-Chun Lai(赖新春). Chin. Phys. B, 2022, 31(8): 087102.
[10] Characterization of topological phase of superlattices in superconducting circuits
Jianfei Chen(陈健菲), Chaohua Wu(吴超华), Jingtao Fan(樊景涛), and Gang Chen(陈刚). Chin. Phys. B, 2022, 31(8): 088501.
[11] Structural evolution and bandgap modulation of layered β-GeSe2 single crystal under high pressure
Hengli Xie(谢恒立), Jiaxiang Wang(王家祥), Lingrui Wang(王玲瑞), Yong Yan(闫勇), Juan Guo(郭娟), Qilong Gao(高其龙), Mingju Chao(晁明举), Erjun Liang(梁二军), and Xiao Ren(任霄). Chin. Phys. B, 2022, 31(7): 076101.
[12] Universal order-parameter and quantum phase transition for two-dimensional q-state quantum Potts model
Yan-Wei Dai(代艳伟), Sheng-Hao Li(李生好), and Xi-Hao Chen(陈西浩). Chin. Phys. B, 2022, 31(7): 070502.
[13] Structural evolution and molecular dissociation of H2S under high pressures
Wen-Ji Shen(沈文吉), Tian-Xiao Liang(梁天笑), Zhao Liu(刘召), Xin Wang(王鑫), De-Fang Duan(段德芳), Hong-Yu Yu(于洪雨), and Tian Cui(崔田). Chin. Phys. B, 2022, 31(7): 076102.
[14] Topological phase transition in cavity optomechanical system with periodical modulation
Zhi-Xu Zhang(张志旭), Lu Qi(祁鲁), Wen-Xue Cui(崔文学), Shou Zhang(张寿), and Hong-Fu Wang(王洪福). Chin. Phys. B, 2022, 31(7): 070301.
[15] Dynamical quantum phase transition in XY chains with the Dzyaloshinskii-Moriya and XZY-YZX three-site interactions
Kaiyuan Cao(曹凯源), Ming Zhong(钟鸣), and Peiqing Tong(童培庆). Chin. Phys. B, 2022, 31(6): 060505.
No Suggested Reading articles found!