植物皮层微管阵列取向有序化模型
A model for the orientational ordering of the plant microtubule cortical array
摘要：
植物微管皮层阵列是所有生长中的植物细胞的显著特征。它由一个或多或少均匀分布的高度排列的微管阵列组成，这些微管连接到质膜的内侧，并横向于细胞生长轴定向。在这里，我们制定了一个连续体模型来描述这种封闭的动态微管阵列的取向顺序的起源。该模型是基于最近的实验观察表明，一个不断增长的皮质微管可以相互作用，通过角度依赖性碰撞与预先存在的微管，可以导致共同对齐的增长，通过灾难诱导或跨越遇到的微管收缩。我们确定了一个单一的控制参数，这是完全由个别微管的成核速率和内在动力学。我们解决了模型解析在固定各向同性相，讨论了这个各向同性相的稳定性的限制，并明确解决了有序的固定状态的简化版本的模型。
英文摘要：
The plant microtubule cortical array is a striking feature of all growing plant cells. It consists of a more or less homogeneously distributed array of highly aligned microtubules connected to the inner side of the plasma membrane and oriented transversely to the cell growth axis. Here we formulate a continuum model to describe the origin of orientational order in such confined arrays of dynamical microtubules. The model is based on recent experimental observations that show that a growing cortical microtubule can interact through angle dependent collisions with pre-existing microtubules that can lead either to co-alignment of the growth, retraction through catastrophe induction or crossing over the encountered microtubule. We identify a single control parameter, which is fully determined by the nucleation rate and intrinsic dynamics of individual microtubules. We solve the model analytically in the stationary isotropic phase, discuss the limits of stability of this isotropic phase, and explicitly solve for the ordered stationary states in a simplified version of the model.
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