Abstract The injection of a self-avoiding flexible polymer into a spherical cavity under a driving force is studied by using Langevin dynamics simulation. For given polymer length (N) and driving force (f), the polymer can be completely injected into the cavity only when the radius of the cavity is larger than a transition radius (ReC). The dependence of ReC on N and f can be described by a scaling relation ReC∝N1/3f-δ. The value of δ changes from 4/15 in the small f region to 1/6 in the moderate f region due to the screening of the excluded-volume interaction between monomers. We find the complete injection time (τ) decreases monotonously with increasing the cavity radius or decreasing the polymer length. The simulation results are in good agreement with the theoretical predictions from the free energy analysis and a simple kinetic model.
Fund: Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant No. LY20A040004) and the National Natural Science Foundation of China (Grant Nos. 11604232 and 11974305).
Corresponding Authors:
Chao Wang
E-mail: chaowang0606@126.com
Cite this article:
Chao Wang(王超), Fan Wu(吴凡), Xiao Yang(杨肖), Ying-Cai Chen(陈英才), and Meng-Bo Luo(罗孟波) Driven injection of a polymer into a spherical cavity: A Langevin dynamics simulation study 2021 Chin. Phys. B 30 108202
[1] Laemmli U K and Favre M 1973 J. Mol. Biol.80 575 [2] Simon S M and Blobe G 1991 Cell65 371 [3] Gabashvili I S, Gregory S T, Valle M, Grassucci R, Worbs M, Wahl M C, Dahlberg A E and Frank J 2001 Mol. Cell8 181 [4] Helenius J, Ng D T W, Marolda C L, Walter P, Valvano M A and Aebi M 2002 Nature415 447 [5] Smith D E, Tans S J, Smith S B, Grimes S, Anderson D L and Bustamante C 2001 Nature413 748 [6] Fuller D N, Raymer D M, Kottadiel V I, Rao V B and Smith D E 2007 Proc. Natl. Acad. Sci. USA104 16868 [7] Fuller D N, Raymer D M, Rickgauer J P, Robertson R M, Catalano C E, Anderson D L, Grimes S and Smith D E 2007 J. Mol. Biol.373 1113 [8] Rickgauer J P, Fuller D N, Grimes S, Jardine P J, Anderson D L and Smith D E 2008 Biophys. J.94 159 [9] Levy S L and Craighead H G 2010 Chem. Soc. Rev.39 1133 [10] Lam E T, Hastie A, Lin C, Ehrlich D, Das S K, Austin M D, Deshpande P, Cao H, Nagarajan N, Xiao M and Kwok P Y 2012 Nat. Biotechnol.30 771 [11] Sriram K K, Yeh J W, Lin Y L, Chang Y R and Chou C F 2014 Nucleic Acids Res.42 e85 [12] Lacroix J, Pélofy S, Blatché C, Pillaire M J, Huet S, Chapuis C, Hoffmann J S and Bancaud A 2016 Small12 5963 [13] Glasgow J and Tullman-Ercek D 2014 Appl. Microbiol. Biotechnol.98 5847 [14] Yuan Z S, Liu Y M, Dai M, Yi X and Wang C Y 2020 Nanoscale Res. Lett.15 80 [15] Wang C, Zhou Y L, Sun L Z, Chen Y C and Luo M B 2019 J. Chem. Phys.150 164904 [16] Luo K, Ala-Nissila T, Ying S and Bhattacharya A 2008 Phys. Rev. Lett.100 058101 [17] Liu X, Zhang Y, Nagel R, Reisner W and Dunbar W B 2019 Small15 1901704 [18] Luo M B and Wang C 2013 Phys. Chem. Chem. Phys.15 3212 [19] Cui R F, Chen Q H and Chen J X 2020 Nanoscale12 12275 [20] Han J and Craighead H G 2000 Science288 1026 [21] Kasianowicz J J, Brandin E, Branton D and Deamer D W 1996 Proc. Natl. Acad. Sci. USA93 13770 [22] Wang C, Chen Y C, Zhang S and Luo M B 2014 Macromolecules47 7215 [23] Magill M, Falconer C, Waller E and de Haan H W 2016 Phys. Rev. Lett.117 247802 [24] Ding M, Duan X, Lu Y and Shi T 2015 Macromolecules48 6002 [25] Li X, Pivkin I V and Liang H 2013 Polymer54 4309 [26] Ambjörnsson T, Lomholt M A and Metzler R 2005 J. Phys.: Condens. Matter17 S3945 [27] Abdolvahab R H, Ejtehadi M R and Metzler R 2011 Phys. Rev. E83 011902 [28] Yu W and Luo K 2011 J. Am. Chem. Soc.133 13565 [29] Park P J and Sung W 1998 J. Chem. Phys.108 3013 [30] Sun L Z, Luo M B, Cao W P and Li H 2018 J. Chem. Phys.149 024901 [31] Turner S W P, Cabodi M and Craighead H G 2002 Phys. Rev. Lett.88 128103 [32] Park P J and Sung W 1998 Phys. Rev. E57 730 [33] Wang C, Chen Y C, Zhang S, Qi H K, Luo M B 2020 Chin. Phys. B29 108201 [34] Cacciuto A and Luijten E 2006 Nano Lett.6 901 [35] Cacciuto A and Luijten E 2006 Phys. Rev. Lett.96 238104 [36] Luo K, Metzler R, Ala-Nissila T and Ying S 2009 Phys. Rev. E80 021907 [37] Huang H C and Hsiao P Y 2019 Phys. Rev. Lett.123 267801 [38] Kantor Y and Kardar M 2004 Phys. Rev. E69 021806 [39] Sakaue T 2007 Phys. Rev. E76 021803 [40] Sakaue T 2010 Phys. Rev. E81 041808 [41] Dubbeldam J L A, Rostiashvili V G, Milchev A and Vilgis T A 2012 Phys. Rev. E85 041801 [42] Luo K, Ollila S T T, Huopaniemi I, Ala-Nissila T, Pomorski P, Karttunen M, Ying S C and Bhattacharya A 2008 Phys. Rev. E78 050901 [43] Luo K, Ala-Nissila T, Ying S C and Metzler R 2009 Europhys. Lett.88 68006 [44] Bhattacharya A, Morrison W H, Luo K, Ala-Nissila T, Ying S C, Milchev A and Binder K 2009 Eur. Phys. J. E29 423 [45] Luo M B and Cao W P 2012 Phys. Rev. E86 031914 [46] Huopaniemi I, Luo K, Ala-Nissila T and Ying S C 2006 J. Chem. Phys.125 124901 [47] Luo K, Huopaniemi I, Ala-Nissila T and Ying S C 2006 J. Chem. Phys.124 114704 [48] Luo K and Metzler R 2010 Phys. Rev. E82 021922 [49] Muthukumar M 2001 Phys. Rev. Lett.86 3188 [50] Chen Y C, Wang C and Luo M B 2007 J. Chem. Phys.127 044904 [51] Ali I, Marenduzzo D and Yeomans J M 2004 J. Chem. Phys.121 8635 [52] Zhang K and Luo K 2012 J. Chem. Phys.136 185103 [53] Ali I, Marenduzzo D and Yeomans J M 2006 Phys. Rev. Lett.96 208102 [54] Zhang K and Luo K 2013 Soft Matter9 2069 [55] Polson J M and Heckbert D R 2019 Phys. Rev. E100 012504 [56] Al-Naamani N and Ali I 2019 Phys. Rev. E100 052412 [57] Al Lawati A, Ali I and Al Barwani M 2013 PLoS ONE8 e52958 [58] Nagarajan K and Chen S B 2020 Macromol. Theor. Simul.29 2000032 [59] Wang C, Wu F, Zhao B, Chen Y C and Luo M B 2020 Macromolecules53 1694 [60] Sakaue T and Raphaël E 2006 Macromolecules39 2621
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