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重力场作用下微管自组装过程中向列相取向的空间模式的形成

Nematic ordering pattern formation in the process of self-organization of microtubules in a gravitational field

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【作者】 胡健邱锡钧

【Author】 Hu Jian;Qiu Xi-Jun;Department of Mathematics and Physics Teaching,Shanghai Institute of Technology;College of Sciences, Shanghai University;

【机构】 上海应用技术学院理学院上海大学理学院

【摘要】 通过引入函数标度变换的方法,在理论上提出了细胞骨架微管溶液系统在重力场中的自由能函数,并在此基础上研究了重力场对微管系统自组装过程的影响.微管蛋白溶液中浓度梯度和排列具有向列相特征的空间结构模式的形成是重力场作用下出现的新特征.理论计算结果表明重力场会促使微管蛋白溶液从各向同性相向向列相转变,具体表现在它很大程度地拓宽了相变区域(即相共存区域),而且随着重力加速度或微管浓度的增加,相变区域会变得更宽.最后对定域微管浓度随溶液高度的变化情况及某些相变性质进行了讨论.

【Abstract】 By virtue of a functional scaling, the free energy for cytoskeletal microtubule(MT) solution system in the gravitational field has been proposed theoretically, and on this basis the influence of gravitational field on MT’s self-organization process is studied. A concentration gradient coupled with orientational order characteristic of nematic ordering pattern formation is the new feature emerging in the presence of gravity. Theoretical calculation results show that gravity facilitates the isotropic to nematic phase transition, which is reflected in a significantly broader transition region and the phase coexistence region increases with increasing g or MT concentration. We also discuss the numerical results obtained due to local MT concentration changing with the height of the vessel and some phase transition properties.

  • 【文献出处】 物理学报 ,Acta Physica Sinica , 编辑部邮箱 ,2014年07期
  • 【分类号】Q245
  • 【被引频次】1
  • 【下载频次】52
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