论文标题
两体相互作用的椭圆形颗粒的模式形成：血管生成中内皮细胞动力学的模型
Pattern formation of elliptic particles by two-body interactions: a model for dynamics of endothelial cells in angiogenesis
论文作者
论文摘要
研究了血管生成中内皮细胞动力学的二维数学模型。血管生成是一个形态发生过程，其中新血管从现有的血管网络中出现。最近，已经提出了一个一维离散的动力学模型来再现血管生成期间的细胞混合，例如在血管生成期间对内皮细胞之间简单的两体相互作用的假设。目前的模型是其二维扩展，其中内皮细胞表示为具有两体相互作用的椭圆：由于排除的体积效应而导致的排斥相互作用，通过假卵形通过伪足的相互作用以及通过接触旋转的旋转。我们表明，椭圆的含性和接触旋转的幅度显着影响创建的血管模式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.
