在肿瘤诱导的血管生成过程中，规则网络的流动相关稀释导致了一个扩张网络
Flow-correlated dilution of a regular network leads to a percolating network during tumor induced angiogenesis
摘要：
我们研究了一个简化的随机模型的血管化生长的肿瘤，纳入新血管的形成，在肿瘤周边，以及在肿瘤中心的回归。由此产生的肿瘤脉管系统的形态与原始的完全不同。我们证明了血管塌陷的概率必须与血液剪切力相关，以产生膨胀网络结构。所得的肿瘤脉管系统显示分形特性。分形维数，微血管密度（MVD），血流量和剪切力已被计算的参数范围很广。
英文摘要：
We study a simplified stochastic model for the vascularization of a growing tumor, incorporating the formation of new blood vessels at the tumor periphery as well as their regression in the tumor center. The resulting morphology of the tumor vasculature differs drastically from the original one. We demonstrate that the probabilistic vessel collapse has to be correlated with the blood shear force in order to yield percolating network structures. The resulting tumor vasculature displays fractal properties. Fractal dimension, microvascular density (MVD), blood flow and shear force has been computed for a wide range of parameters.
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