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The adhesion of two cylindrical colloids to a tubular membrane is investigated theoretically in terms of the full treatment of Helfrich model. By analyzing the free energy of the system, it is found that this adhesion can produce both shallow wrapping with relatively small wrapping angle and deep wrapping with big wrapping angle. A second-order adhesion transition from the desorbed to weakly adhered state is found, and a first-order phase transition where the cylindrical colloids undergo an abrupt transition from weakly adhered to strongly adhered state can be obtained as well. Different relative positions between rigid cylinders and membrane tube will affect the phase transition and structure of the system.
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Keywords:
- Helfrich model /
- phase transition /
- free energy /
- tubular membrane
[1] Lodish H, Berk A, Zipursky S L, Matsudaira P, Baltimore D 2000 Molecular Cell Biology (W. H. Freeman and Company New York)p235
[2] Pietiainen V, Marjomaki V, Upla P, Pelkmans L, Helenius A 2004 Mol. Biol. Cell 15 4911
[3] Sieczkarski S B, Whittaker G R 2002 J. Gen. Virol. 83 1535
[4] Singer S J, Nicolson G L 1972 Science 175 720
[5] Helfrich W, Servuss R M 1984 Nuovo Cimento D 3 137
[6] Helfrich W 1973 Z. Naturforsch 28 C 693
[7] Ou-Yang ZC, Helfrich W 1987 Phys. Rev. Lett. 59 2486
[8] Ou-Yang ZC, Helfrich W 1989 Phys. Rev. A 39 5280
[9] Tu Z C, Ou-Yang Z C 2003 Phys. Rev. E 68 061915
[10] Zhou S H, Zhang Z G 2006 Acta. Phys. Sin. 55 5568 (in Chinese) [周晓华, 张昭光 2006 55 5568]
[11] Tu Z C 2013 Chin. Phys. B 22 028701
[12] Niu Y Q, Wei W, Zheng B, Zhang C X, Meng Q T 2013 Chin. Phys. B (in press)
[13] Zheng B, Meng Q T 2012 College Physics 31 9 (in Chinese) [郑斌, 孟庆田 2012 大学物理 31 9]
[14] Smith A S, Sackmann E 2004 Phys. Rev. Lett. 92 208101
[15] Peng Y G, Zheng Y J 2011 Acta Phys. Sin. 60 088701 (in Chinese) [彭勇刚, 郑雨军 2011 60 088701]
[16] Pang X Q, Yang M J, Han K L 2013 Proteins 81 1399
[17] Deserno M 2004 Phys. Rev. E 69 031903
[18] M ller M M, Deserno M 2007 Phys. Rev. E 76 011921
[19] Deserno M, Gelbart W M 2002 J. Phys. Chem. B 106 5543
[20] Chen Jeff Z Y 2010 Phys. Rev. E 82 060801
[21] Chen Jeff Z Y 2007 Phys. Rev. Lett. 98 088302
[22] Chen Jeff Z Y, Liu Y, Liang H J 2009 Phys. Rev. Lett. 102 168103
[23] Cao S Q, Wei G H, Chen Jeff Z Y 2011 Phys. Rev. E 84 050901
[24] Mkrtchyan S, Ing C, Chen Jeff Z Y 2010 Phys. Rev. E 81 011904
[25] Chen Jeff Z Y, Mkrtchyan S 2010 Phys. Rev. E 81 041906
[26] Das J and M Jack 1976 Proc. Natl. Acad. Sci. of the US A 73 1489
[27] Paczuski M, Kardar M 1988 Phys. Rev. Lett. 60 2638
[28] Koibuchi H and Kuwahata T 2005 Phys. Rev. E 72 026124
[29] Lu S Q, Liu J X 2006 The Introduction to Soft Matter Physics (Beijing: Peking University Press)p29 (in Chinese) [陆坤权, 刘寄星 2006 软物质物理学导论 (北京: 北京大学出版社) 第29页]
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[1] Lodish H, Berk A, Zipursky S L, Matsudaira P, Baltimore D 2000 Molecular Cell Biology (W. H. Freeman and Company New York)p235
[2] Pietiainen V, Marjomaki V, Upla P, Pelkmans L, Helenius A 2004 Mol. Biol. Cell 15 4911
[3] Sieczkarski S B, Whittaker G R 2002 J. Gen. Virol. 83 1535
[4] Singer S J, Nicolson G L 1972 Science 175 720
[5] Helfrich W, Servuss R M 1984 Nuovo Cimento D 3 137
[6] Helfrich W 1973 Z. Naturforsch 28 C 693
[7] Ou-Yang ZC, Helfrich W 1987 Phys. Rev. Lett. 59 2486
[8] Ou-Yang ZC, Helfrich W 1989 Phys. Rev. A 39 5280
[9] Tu Z C, Ou-Yang Z C 2003 Phys. Rev. E 68 061915
[10] Zhou S H, Zhang Z G 2006 Acta. Phys. Sin. 55 5568 (in Chinese) [周晓华, 张昭光 2006 55 5568]
[11] Tu Z C 2013 Chin. Phys. B 22 028701
[12] Niu Y Q, Wei W, Zheng B, Zhang C X, Meng Q T 2013 Chin. Phys. B (in press)
[13] Zheng B, Meng Q T 2012 College Physics 31 9 (in Chinese) [郑斌, 孟庆田 2012 大学物理 31 9]
[14] Smith A S, Sackmann E 2004 Phys. Rev. Lett. 92 208101
[15] Peng Y G, Zheng Y J 2011 Acta Phys. Sin. 60 088701 (in Chinese) [彭勇刚, 郑雨军 2011 60 088701]
[16] Pang X Q, Yang M J, Han K L 2013 Proteins 81 1399
[17] Deserno M 2004 Phys. Rev. E 69 031903
[18] M ller M M, Deserno M 2007 Phys. Rev. E 76 011921
[19] Deserno M, Gelbart W M 2002 J. Phys. Chem. B 106 5543
[20] Chen Jeff Z Y 2010 Phys. Rev. E 82 060801
[21] Chen Jeff Z Y 2007 Phys. Rev. Lett. 98 088302
[22] Chen Jeff Z Y, Liu Y, Liang H J 2009 Phys. Rev. Lett. 102 168103
[23] Cao S Q, Wei G H, Chen Jeff Z Y 2011 Phys. Rev. E 84 050901
[24] Mkrtchyan S, Ing C, Chen Jeff Z Y 2010 Phys. Rev. E 81 011904
[25] Chen Jeff Z Y, Mkrtchyan S 2010 Phys. Rev. E 81 041906
[26] Das J and M Jack 1976 Proc. Natl. Acad. Sci. of the US A 73 1489
[27] Paczuski M, Kardar M 1988 Phys. Rev. Lett. 60 2638
[28] Koibuchi H and Kuwahata T 2005 Phys. Rev. E 72 026124
[29] Lu S Q, Liu J X 2006 The Introduction to Soft Matter Physics (Beijing: Peking University Press)p29 (in Chinese) [陆坤权, 刘寄星 2006 软物质物理学导论 (北京: 北京大学出版社) 第29页]
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