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本文采用Helfrich理论模型研究双柱胶体粒子与管状生物膜的相互作用. 通过对柱状粒子与不同半径的管状膜吸附时的自由能分析发现，该体系存在具有较小包络角的弱吸附相以及具有较大包络角的深度吸附相. 进一步研究发现体系从解吸附相到弱吸附相的相变是二级相变，而从弱吸附相到深度吸附相的相变是一级相变. 双柱粒子与管状膜相对位置的不同会影响体系相变和结构.
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关键词:
- Helfrich理论 /
- 相变 /
- 自由能 /
- 管状膜
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.-
Keywords:
- Helfrich model /
- phase transition /
- free energy /
- tubular membrane
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[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]
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[16] Pang X Q, Yang M J, Han K L 2013 Proteins 81 1399
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[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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