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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      Published:  05 July 2020
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

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