蠕虫状链模型的均方末端距修正

doi:10.12066/j.issn.1007-2861.1856

上海大学学报(自然科学版) ›› 2018, Vol. 24 ›› Issue (6): 938-946.doi: 10.12066/j.issn.1007-2861.1856

蠕虫状链模型的均方末端距修正

刘引烽(), 周洁

上海大学材料科学与工程学院, 上海 200444

收稿日期:2016-11-22 出版日期:2018-12-30 发布日期:2018-12-26
通讯作者: 刘引烽 E-mail:liuyf@shu.edu.cn

Correction of mean square end-to-end distance of wormlike chain model

LIU Yinfeng(), ZHOU Jie

School of Materials Science and Engineering, Shanghai University, Shanghai 200444, China

Received:2016-11-22 Online:2018-12-30 Published:2018-12-26
Contact: LIU Yinfeng E-mail:liuyf@shu.edu.cn

摘要/Abstract

摘要：

蠕虫状链是一种适用于从柔性到刚性的大分子链模型, 尤其适合半刚性和刚性高分子链, 因此运用此模型分析多肽与 DNA 等生物大分子链构象的研究越来越多. 在简单介绍蠕虫状链模型的基础上, 分析了运用蠕虫状链模型推导均方末端距时存在的问题, 并提出了采取自由旋转链模型处理的解决方法, 有助于正确理解与应用蠕虫状链模型.

关键词: 蠕虫状链, 自由旋转链, 均方末端距, 修正

Abstract:

Wormlike chain is a popular model for biological macromolecules such as DNA, and for semi-rigid and rigid-chain polymers. This paper discusses the worm-like chain model, especially the mistake in the derivation of end-to-end distance, and suggests an effective solution using a free rotation chain model. It is helpful for using the wormlike chain model correctly.

Key words: worm-like chain, free-rotation chain, mean square end-to-end distance, correction

中图分类号:

O631.1

刘引烽, 周洁. 蠕虫状链模型的均方末端距修正[J]. 上海大学学报(自然科学版), 2018, 24(6): 938-946.

LIU Yinfeng, ZHOU Jie. Correction of mean square end-to-end distance of wormlike chain model[J]. Journal of Shanghai University（Natural Science Edition）, 2018, 24(6): 938-946.

图/表 3

参考文献 15

[1]	何曼君, 陈维孝, 董西侠. 高分子物理 (修订版) [M]. 上海: 复旦大学出版社, 1990: 30-33.
[2]	Kratky O, Porod G. Röntgenuntersuchung gelöster fadenmoleküle[J]. Rec Trav Chim Pays-Bas, 1949,68:1106-1123.
[3]	Brinkers S, Dietrich H R C, De Groote F H, et al. The persistence length of double stranded DNA determined using dark field tethered particle motion[J]. J Chem Phys, 2009,130:215105.
[4]	Wang M D, Yin H, Landick R, et al. Stretching DNA with optical tweezers[J]. Biophys J, 1997,72(3):1335-1346.
[5]	Muralidhar A, Tree D R, Dorfman K D. Backfolding of wormlike chains confined in nanochannels[J]. Macromol, 2014,47(23):8446-8458.
[6]	Toan N M, Thirumalai D. Theory of biopolymer stretching at high forces[J]. Macromol, 2010,43(9):4394-4400.
[7]	Morrison G, Thirumalai D. Semiflexible chains in confined spaces[J]. Phys Rev E: Stat Nonlin Soft Matter Phys, 2009,79: 011924/1-011924/14..
[8]	Destainville N, Manghi M, Palmeri J. Microscopic mechanism for experimentally observed anomalous elasticity of DNA in two dimensions[J]. Biophys J, 2009,96(11):4464-4469. doi: 10.1016/j.bpj.2009.03.035 pmid: 19486670
[9]	Hagerman P J, Zimm B H. Monte Carlo approach to the analysis of the rotational diffusion of wormlike chains[J]. Biopolym, 1981,20(7):1481-1502.
[10]	Tricard S, Feinstein E, Shepherd R F, et al. Analog modeling of worm-like chain molecules using macroscopic beads-on-a-string[J]. Phys Chem Chem Phys, 2012,14(25):9041-9046. doi: 10.1039/c2cp40593h pmid: 22641381
[11]	Arpin M, Strazielle C, Weill G, et al. Optical anisotropy of a worm-like chain and its application to the determination of the persistence length in an aromatic polyamide[J]. Polym, 1977,18(3):262-264.
[12]	Bouchiat C, Wang M D, Allemand J F, et al. Estimating the persistence length of a worm-like chain molecule from force-extension measurements[J]. Biophys J, 1999,76:409-413. doi: 10.1016/s0006-3495(99)77207-3 pmid: 9876152
[13]	Mansfield M L, Tsortos A, Dougla J F. Persistent draining crossover in DNA and other semi-flexible polymers: evidence from hydrodynamic models and extensive measurements on DNA solutions[J]. J Chem Phys, 2015,143(12): 124903/1-124903/7.
[14]	Zhou L, Geng J, Wang G, et al. A water-soluble conjugated polymer brush with multihydroxy dendritic side chains[J]. Polym Chem, 2013,4(20):5243-5251.
[15]	Ling J, Fomina N, Rasul G, et al. DFT based Monte Carlo simulations of poly (9,9-dialkylfluorene-2,7-diyl) polymers in solution[J]. J Phys Chem B, 2008,112(33):10116-10122. pmid: 18630947

蠕虫状链模型的均方末端距修正

Correction of mean square end-to-end distance of wormlike chain model

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