Pattern formation of elliptic particles by two-body interactions: A model for dynamics of endothelial cells in angiogenesis
Pattern formation of elliptic particles by two-body interactions: A model for dynamics of endothelial cells in angiogenesis
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DOI：
10.1016/j.jtbi.2022.111300
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发表时间：
2022-10-14
影响因子：
2
通讯作者：
Tokihiro, Tetsuji
中科院分区：
文献类型：
--
作者：
Hayashi, Tatsuya;Yura, Fumitaka;Tokihiro, Tetsuji
研究了血管生成中内皮细胞动力学的二维数学模型。血管生成是一种形态发生过程，其中新血管从现有血管网络中出现。最近，假设内皮细胞之间存在简单的二体相互作用，提出了一种一维离散动力学模型来重现伸长、分叉和细胞运动，例如血管生成过程中的细胞混合。目前的模型是其二维扩展，其中内皮细胞被表示为具有两体相互作用的椭圆：由于排除体积效应而产生的排斥相互作用、通过伪足的吸引相互作用以及通过接触而旋转。我们表明，椭圆的扁率和接触旋转的幅度显着影响所创建的血管图案的形状和分支的伸长。
A two-dimensional mathematical model for dynamics of endothelial cells in angiogenesis is investigated. Angiogenesis is a morphogenic process in which new blood vessels emerge from an existing vascular network. Recently a one-dimensional discrete dynamical model has been proposed to reproduce elongation, bifurcation, and cell motility such as cell-mixing during angiogenesis on the assumption of a simple two-body interaction between endothelial cells. The present model is its two-dimensional extension, where endothelial cells are represented as the ellipses with the two-body interactions: repulsive interaction due to excluded volume effect, attractive interaction through pseudopodia and rotation by contact. We show that the oblateness of ellipses and the magnitude of contact rotation significantly affect the shape of created vascular patterns and elongation of branches.