A dynamic cell model for the formation of epithelial tissues
A dynamic cell model for the formation of epithelial tissues
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DOI：
10.1080/13642810108205772
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发表时间：
2001-07
期刊：
影响因子：
--
通讯作者：
T. Nagai;H. Honda
中科院分区：
文献类型：
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作者：
T. Nagai;H. Honda
摘要本文提出了一个单层上皮组织的动力学模型，假设单层上皮细胞由棱柱形细胞组成，从而将系统描述为二维多边形模式。它的动态行为是由多边形图案中的顶点的运动方程和系统中的基本变化（顶点对连接的变化）决定的。这些顶点由细胞边界上的界面张力和细胞变形的阻力之和驱动。计算机模拟结果表明，该模型具有上皮组织的特征，即具有使细胞的边数和大小均匀、形状对称的机制。这种机制最终产生了类似于蜂窝图案的规则多边形图案，即使初始图案具有很大的变化。局部平衡动态下，每个单元的大小是灵活地适应其本地环境进行比较与非局部平衡动态。局部平衡动力学产生更自然的细胞模式。
Abstract A dynamic model is proposed for monolayered epithelial tissue, in which the monolayer is assumed to consist of prismatic cells, so that the system is described as a two-dimensional polygonal pattern. Its dynamic behaviour is determined by equations of motion for vertices in the polygonal pattern and elementary change in the system (change in the connection of vertex pairs). The vertices are driven by the sum of interfacial tension on cell boundaries and the resistance force against the deformation of cells. It is shown by computer simulations that our model possesses the characteristics of epithelial tissue, that is it has a mechanism which makes the edge number and size of a cell uniform and the shape symmetric. This mechanism finally gives rise to a regular polygonal pattern similar to a honeycomb pattern, even though initial patterns have large variations. Local equilibrium dynamics under which the size of each cell is flexibly adapted to its local environment are compared with non-local equilibrium dynamics. The local equilibrium dynamics produce more natural cellular patterns.