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Nematic Ordering Pattern Formation in the Process of Self-Organization of Microtubules in a Gravitational Field

机译:重力场中微管自组织过程中向列有序模式的形成

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摘要

Papaseit et al. (Proc. Natl. Acad. Sci. U.S.A. 97, 8364, 2000) showed the decisive role of gravity in the formation of patterns by assemblies of microtubules in vitro. By virtue of a functional scaling, the free energy for MT systems in a gravitational field was constructed. The influence of the gravitational field on MT’s self-organization process, that can lead to the isotropic to nematic phase transition, is the focus of this paper. A coupling of a concentration gradient with orientational order characteristic of nematic ordering pattern formation is the new feature emerging in the presence of gravity. The concentration range corresponding to a phase coexistence region increases with increasing g or MT concentration. Gravity facilitates the isotropic to nematic phase transition leading to a significantly broader transition region. The phase transition represents the interplay between the growth in the isotropic phase and the precipitation into the nematic phase. We also present and discuss the numerical results obtained for local MT concentration change with the height of the vessel, order parameter and phase transition properties.
机译:Papaseit等。 (Proc.Natl.Acad.Sci.U.S.A.97,8364,2000)显示了重力在体外通过微管组装形成图案中的决定性作用。通过功能缩放,构造了MT系统在重力场中的自由能。重力场对MT的自组织过程的影响可能导致各向同性向向列相变,这是本文的重点。浓度梯度与向列有序图案形成的取向有序特征的耦合是在重力存在下出现的新特征。随着g或MT浓度的增加,对应于相共存区域的浓度范围增加。重力促进了各向同性向列相的过渡,导致过渡区域明显变宽。相变代表各向同性相的生长和向列相的沉淀之间的相互作用。我们还提出并讨论了局部MT浓度随容器高度,阶次参数和相变特性而变化的数值结果。

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