A coupled intravascular transvascular 空隙的液体流动模型被开发在稳固的肿瘤学习血流动和空隙的液体压力的分布微循环基于一个导致肿瘤的微脉管的网络。这从 2D 被产生肿瘤 angiogenesis 的九点的分离数学模型并且包含二个父母容器。通过微脉管的网络的血流动和在肿瘤纸巾的空隙的液体流动被扩大 Poiseuille 的法律和 Darcy 的法律执行分别地, transvascular 流动被欧椋鸟的法律描述;脉管的渗透和空隙的水力的传导性的效果也被考虑。模拟结果在肿瘤的里面上预言异构的血供应,空隙的高血压和低传送对流,它与生理的观察事实一致。这些结果可以为肿瘤和进一步临床的研究的 anti-angiogenesis 处理提供有益的信息。
A coupled intravascular-transvascular-interstitial fluid flow model is developed to study the distributions of blood flow and interstitial fluid pressure in solid tumor microcirculation based on a tumor-induced microvascular network. This is generated from a 2D nine-point discrete mathematical model of tumor angiogenesis and contains two parent vessels. Blood flow through the microvascular network and interstitial fluid flow in tumor tissues are performed by the extended Poiseuille's law and Darcy's law, respectively, transvascular flow is described by Starling's law; effects of the vascular permeability and the interstitial hydraulic conductivity are also considered. The simulation results predict the heterogeneous blood supply, interstitial hypertension and low convection on the inside of the tumor, which are consistent with physiological observed facts. These results may provide beneficial information for anti-angiogenesis treatment of tumor and further clinical research.