Please wait a minute...
Chin. Phys. B, 2020, Vol. 29(7): 078201    DOI: 10.1088/1674-1056/ab9430
Special Issue: SPECIAL TOPIC — Active matters physics
SPECIAL TOPIC—Active matters physics Prev   Next  

Regulation of microtubule array inits self-organized dense active crowds

Xin-Chen Jiang(蒋新晨)1, Yu-Qiang Ma(马余强)2, Xiaqing Shi(施夏清)1
1 Center for Soft Condensed Matter Physics and Interdisciplinary Research, & School of Physical Science and Technology, Soochow University, Suzhou 215006, China;
2 National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China
Abstract  Microtubule self-organization under mechanical and chemical regulations plays a central role in cytokinesis and cellular transportations. In plant-cells, the patterns or phases of cortical microtubules organizations are the direct indicators of cell-phases. The dense nematic pattern of cortical microtubule array relies on the regulation of single microtubule dynamics with mechanical coupling to steric interaction among the self-organized microtubule crowds. Building upon previous minimal models, we investigate the effective microtubule width, microtubule catastrophe rate, and zippering angle as factors that regulate the self-organization of the dense nematic phase. We find that by incorporating the effective microtubule width, the transition from isotropic to the highly ordered nematic phase (NI phase) with extremely long microtubules will be gapped by another nematic phase which consists of relative short microtubules (N phase). The N phase in the gap grows wider with the increase of the microtubule width. We further illustrate that in the dense phase, the collision-induced catastrophe rate and an optimal zippering angle play an important role in controlling the order-disorder transition, as a result of the coupling between the collision events and ordering. Our study shows that the transition to dense microtubule array requires the cross-talk between single microtubule growth and mechanical interactions among microtubules in the active crowds.
Keywords:  microtubule array      nematic order      zippering      microtubule growth  
Received:  19 April 2020      Revised:  12 May 2020      Accepted manuscript online: 
PACS:  82.20.-w (Chemical kinetics and dynamics)  
  61.30.Hn (Surface phenomena: alignment, anchoring, anchoring transitions, surface-induced layering, surface-induced ordering, wetting, prewetting transitions, and wetting transitions)  
  02.70.Uu (Applications of Monte Carlo methods)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11474155, 11774147, 11674236, and 11922506).
Corresponding Authors:  Yu-Qiang Ma, Xiaqing Shi     E-mail:  myqiang@nju.edu.cn;xqshi@suda.edu.cn

Cite this article: 

Xin-Chen Jiang(蒋新晨), Yu-Qiang Ma(马余强), Xiaqing Shi(施夏清) Regulation of microtubule array inits self-organized dense active crowds 2020 Chin. Phys. B 29 078201

[1] Ehrhardt D W and Shaw S L 2006 Annu. Rev. Plant Biol. 57 859
[2] Paradez A, Wright A and Ehrhardt D W 2006 Curr. Opin. Plant Biol. 9 571
[3] Elliott A and Shaw S L 2018 Plant Physiol. 176 94
[4] Baskin T I 2005 Annu. Rev. Cell Dev. Biol. 21 203
[5] Paredez A R, Somerville C R and Ehrhardt D W 2006 Science 312 1491
[6] Bringmann M, ηl 2012 Trends Plant Sci. 17 666
[7] Brandizzi F and Wasteneys G O 2013 Plant J. 75 339
[8] Whittington A T, ηl 2001 Nature 411 610
[9] Vos J W, Dogterom M and Emons A M C 2004 Cell Motil. Cytoskeleton 57 246
[10] Shaw S L, Kamyar R and Ehrhardt D W 2003 Science 300 1715
[11] Dixit R and Cyr R 2004 Plant Cell 16 3274
[12] Murata T, ηl 2005 Nat. Cell Biol. 7 961
[13] Baulin V A, Marques C M and Thalmann F 2007 Biophys. Chem. 128 231
[14] Tindemans S H, Hawkins R J and Mulder B M 2010 Phys. Rev. Lett. 104 058103
[15] Shi X Q and Ma Y Q 2010 Proc. Natl. Acad. Sci. USA 107 11709
[16] Wasteneys G O 2002 J. Cell Sci. 115 1345
[17] Nakamura M, Ehrhardt D W and Hashimoto T 2010 Nat. Cell Biol. 12 1064
[18] Ambrose C, Allard J F, Cytrynbaum E N and Wasteneys G O 2011 Nat. Commun. 2 1444
[19] Kirik A, Ehrhardt D W and Kirik V 2012 Plant Cell 24 1158
[20] Shaw S L 2013 Curr. Opin. Plant Biol. 16 693
[21] Lindeboom J J, ηl 2013 Science 342 1245533
[22] Ambrose C and Wasteneys G O 2014 Plant Cell Physiol. 55 1636
[23] Nakamura M 2015 New Phytologist 205 1022
[24] Mirabet V, ηl 2018 PLOS Comput. Biol. 14 e1006011
[25] Hawkins R J, Tindemans S H and Mulder B M 2010 Phys. Rev. E 82 011911
[26] Allard J F, Wasteneys G O and Cytrynbaum E N 2010 Mol. Biol. Cell 21 278
[27] Eren E C, Dixit R and Gautam N 2010 Mol. Biol. Cell 21 2674
[28] Deinum E E and Mulder B M 2013 Curr. Opin. Plant Biol. 16 688
[29] Tindemans S H, Deinum E E, Lindeboom J J and Mulder B M 2014 Front. Phys. 2 00019
[30] Deinum E E, Tindemans S H, Lindeboom J J and Mulder B M 2017 Proc. Natl. Acad. Sci. USA 114 6942
[31] Deinum E E, Tindemans S H and Mulder B M 2011 Phys. Biol. 8 056002
[32] Eren E C, Gautam N and Dixit R 2012 Cytoskeleton 69 144
[33] Foteinopoulos P and Mulder B M 2014 Bull. Math. Biol. 76 2907
[34] Chakrabortty B, Blilou I, Scheres B and Mulder B M 2018 PLOS Comput. Biol. 14 e1005959
[35] Eren E C, Dixit R and Gautam N 2015 J. Math. Biol. 71 1353
[36] Sedbrook J C 2004 Curr. Opin. Plant Biol. 7 632
[37] Hamada T 2014 Int. Rev. Cell Mol. Biol. 312 1
[38] Minoura I and Muto E 2006 Biophys. J. 90 3739
[39] Haselwandter C A and Wingreen N S 2014 PLOS Comput. Biol. 10 e1003932
[40] Schweitzer Y and Kozlov M M 2015 PLOS Comput. Biol. 11 e1004054
[41] Shi X Q and Ma Y Q 2007 J. Chem. Phys. 126 125101
[42] Cantero M d R, Perez P L, Smoler M, Villa-Etchegoyen C and andCantiello H F 2016 Sci. Rep. 6 27143
[43] Santelices I B, ηl 2017 Sci. Rep. 7 9594
[44] Oda Y 2018 J. Plant Res. 131 5
[45] Barton D A, Vantard M and Overall R L 2008 Plant Cell 20 982
[46] Dogterom M and Leibler S 1993 Phys. Rev. Lett. 70 1347
[47] Howard J and Hyman A A 2003 Nature 422 753
[48] Hamada T, Itoh T J, Hashimoto T, Shimmen T and Sonobe S 2009 Plant Physiol. 151 1823
[49] Horio T and Murata T 2014 Front. Plant Sci. 5 511
[50] Chi Z and Ambrose C 2016 BMC Plant Biol. 16 18
[51] Gittes F 1993 J. Cell Biol. 120 923
[52] Chan J, Sambade A, Calder G and Lloyd C 2009 Plant Cell 21 2298
[53] Gillespie D T 1977 J. Phys. Chem. 81 2340
[54] Liu Z, Persson S and Zhang Y 2015 J. Integr. Plant Biol. 57 330
[55] Hitt L, Cross R and Williams C 1990 J. Biol. Chem. 265 1639
[1] Anomalous spectral weight transfer in the nematic state of iron-selenide superconductor
C Cai(蔡淙), T T Han(韩婷婷), Z G Wang(王政国), L Chen(陈磊), Y D Wang(王宇迪), Z M Xin(信子鸣), M W Ma(马明伟), Yuan Li(李源), Y Zhang(张焱). Chin. Phys. B, 2020, 29(7): 077401.
[2] Nonlinear uniaxial pressure dependence of the resistivity in Sr1-xBaxFe1.97Ni0.03As2
Hui-Can Mao(毛慧灿), Dong-Liang Gong(龚冬良), Xiao-Yan Ma(马肖燕), Hui-Qian Luo(罗会仟), Yi-Feng Yang(杨义峰), Lei Shan(单磊), Shi-Liang Li(李世亮). Chin. Phys. B, 2018, 27(8): 087402.
[3] Molecular field theory for nematic liquid crystal film with finite layers
Zhang Zhi-Dong (张志东), Li Jing (李静), Wei Huai-Peng (魏怀鹏). Chin. Phys. B, 2005, 14(2): 393-397.
No Suggested Reading articles found!