Symmetrical adhesion of two cylindrical colloids to a tubular membrane

doi:10.1088/1674-1056/22/12/128701

Abstract With the full treatment of the Helfrich model we theoretically study the symmetrical adhesion of two cylindrical colloids to a tubular membrane. The adhesion of the rigid cylinders with different radius from the membrane tube surface can produce both shallow wrapping with relatively small wrapping angle and deep wrapping with big wrapping angle. These significant structural behaviors can be obtained by analyzing the system energy. A second order adhesion transition from the desorbed to weakly adhered states is found, and a first order phase transition where the cylindrical colloids undergo an abrupt transition from weakly adhered to strongly adhered states can be obtained as well.

Keywords: Helfrich model phase transition free energy tubular membrane

Received: 18 April 2013
Revised: 09 July 2013
Accepted manuscript online:

PACS:	87.15.ad	(Analytical theories)
	87.15.kt	(Protein-membrane interactions)
	68.35.Np	(Adhesion)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11074151) and the National Key Basic Research and Development Program of China (Grant No. 2011CB808100).

Corresponding Authors: Meng Qing-Tian
E-mail: qtmeng@sdnu.edu.cn

Cite this article:

Niu Yu-Quan (牛余全), Wei Wei (魏巍), Zheng Bin (郑斌), Zhang Cai-Xia (张彩霞), Meng Qing-Tian (孟庆田) Symmetrical adhesion of two cylindrical colloids to a tubular membrane 2013 Chin. Phys. B 22 128701

[1]	Lodish H, Berk A, Zipursky S L, Matsudaira P, Baltimore D and Darnell J 2000 Molecular Cell Biology (New York: W. H. Freeman and Company)
[2]	Pietiainen V, Marjomaki V, Upla P, Pelkmans L, Helenius A and Hyypia T 2004 Mol. Biol. Cell 15 4911
[3]	Sieczkarski S B and Whittaker G R 2002 J. Gen. Virol. 83 1535
[4]	Helfrich W, Servuss R M and Undulations 1984 Nuovo Cimento D 3 137
[5]	Helfrich W 1973 Z. Naturforsch C 28 693
[6]	Ouyang Z C and Helfrich W 1987 Phys. Rev. Lett. 59 2486
[7]	Ouyang Z C and Helfrich W 1989 Phys. Rev. A 39 5280
[8]	Tu Z C and Ouyang Z C 2003 Phys. Rev. E 68 061915
[9]	Tu Z C 2013 Chin. Phys. B 22 028701
[10]	Peng Y G and Zheng Y J 2011 Acta Phys. Sin. 60 088701 (in Chinese)
[11]	Smith A S, Sackmann E and Seifert U 2004 Phys. Rev. Lett. 92 208101
[12]	Tsafrir I, Sagi D, Arzi T, Frette V, Kandel D and Stavans J 2001 Phys. Rev. Lett. 86 1138
[13]	Benoit J and Saxena A 2007 Phys. Rev. E 76 041912
[14]	Deserno M 2004 Phys. Rev. E 69 031903
[15]	Müller M M and Deserno M 2007 Phys. Rev. E 76 011921
[16]	Deserno M and Gelbart W M 2002 J. Phys. Chem. B 106 5543
[17]	Chen Jeff Z Y 2010 Phys. Rev. E 82 060801
[18]	Chen Jeff Z Y 2007 Phys. Rev. Lett. 98 088302
[19]	Chen Jeff Z Y, Liu Y and Liang H J 2009 Phys. Rev. Lett. 102 168103
[20]	Cao S Q, Wei G H and Chen Jeff Z Y 2011 Phys. Rev. E 84 050901
[21]	Mkrtchyan S, Ing C and Chen Jeff Z Y 2010 Phys. Rev. E 81 011904
[22]	Chen Jeff Z Y and Mkrtchyan S 2010 Phys. Rev. E 81 041906
[23]	Derenyi I, Julicher F and Prost J 2002 Phys. Rev. Lett. 88 238101
[24]	Roux A, Cappello G, Cartaud J, Prost J, Goud B and Bassereau P 2002 Proc. Natl. Acad. Sci. USA 99 5394
[25]	Tsafrir I, Caspi Y, Guedeau-Boudeville M A, Arzi T and Stavans J 2003 Phys. Rev. Lett. 91 138102
[26]	Das J and Jack M 1976 Proc. Natl. Acad. Sci. USA 73 1489
[27]	Paczuski M and Kardar M 1988 Phys. Rev. Lett. 60 2638
[28]	Koibuchi H and Kuwahata T 2005 Phys. Rev. E 72 026124

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