Predicting Division Planes of Three-Dimensional Cells by Soap-Film Minimization
Predicting Division Planes of Three-Dimensional Cells by Soap-Film Minimization
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DOI：
10.1105/tpc.18.00401
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发表时间：
2018-10-01
期刊：
影响因子：
11.6
通讯作者：
Rasmussen, Carolyn G.
中科院分区：
文献类型：
--
作者：
Martinez, Pablo;Allsman, Lindy A.;Rasmussen, Carolyn G.
多细胞生物中细胞分裂的一个关键方面是分裂平面的方向。适当的分面建立有助于正常的植物体组织。为了确定细胞几何形状在分裂平面方向中的重要性，我们设计了一个三维概率数学模型来直接测试细胞分裂模仿肥皂膜最小值的百年假设。根据这一假设，子细胞具有相等的体积，并且分裂面出现在表面积最小的地方。我们将预测的分裂平面与标记分裂位点的植物微管阵列进行了比较，即前期带（PPB）。 PPB 位置通常与预测的分区之一相匹配。当邻近的细胞壁或 PPB 与预测的分裂位点直接相邻时，就会发生预测的分裂从 PPB 偏移，以避免产生潜在的结构上不利的四向连接。通过将不同形状的植物细胞（玉米[Zea mays]表皮细胞和正在发育的叶舌细胞和拟南芥保卫细胞）和动物细胞（秀丽隐杆线虫胚胎细胞）的分裂与计算机模拟的分裂进行比较，我们证明了该模型准确预测体内分裂的通用性。这个强大的模型可用于将几何形状的贡献与机械应力或预测分割平面方向的发育调节分开。
One key aspect of cell division in multicellular organisms is the orientation of the division plane. Proper division plane establishment contributes to normal plant body organization. To determine the importance of cell geometry in division plane orientation, we designed a three-dimensional probabilistic mathematical model to directly test the century-old hypothesis that cell divisions mimic soap-film minima. According to this hypothesis, daughter cells have equal volume and the division plane occurs where the surface area is at a minimum. We compared predicted division planes to a plant microtubule array that marks the division site, the preprophase band (PPB). PPB location typically matched one of the predicted divisions. Predicted divisions offset from the PPB occurred when a neighboring cell wall or PPB was directly adjacent to the predicted division site to avoid creating a potentially structurally unfavorable four-way junction. By comparing divisions of differently shaped plant cells (maize [Zea mays] epidermal cells and developing ligule cells and Arabidopsis thaliana guard cells) and animal cells (Caenorhabditis elegans embryonic cells) to divisions simulated in silico, we demonstrate the generality of this model to accurately predict in vivo division. This powerful model can be used to separate the contribution of geometry from mechanical stresses or developmental regulation in predicting division plane orientation.