数值研究抗血管生成因子Angiostatin对转移性肿瘤微循环内血液灌注和间质液输运的抑制效应.肿瘤微血管网生成数学模型包括angiostatin的抑制效应、促血管生成因子的趋化效应和内皮细胞自身的扩散效应,血液灌注、间质液输运和跨壁流体交换分别采用Poiseuille、Darcy和Starling定律来描述.结果表明:angiostatin能抑制转移性肿瘤内外微血管网的生长速率、毛细血管芽的分叉、融合与增殖;进一步angiostatin可改善转移性肿瘤微环境内血液灌注和间质液输运的特性,从而增加微血管内外流体对流和物质交换的能力,降低肿瘤内药物输运困难,结果与实验相符,可为临床抗血管生成治疗肿瘤提供有益信息.
Blood perfusion and interstitial fluid transport in metastatic tumor microcirculation based on microvasculature response to angiostatin's inhibitory effect are investigated. Microvascular network model contains inhibitory effect of angiostatin, chemotaxis response of tumor angiogenic factors and random motility of endothelial ceils. Blood flow, interstitial fluid transport and transvascular flow are described by extended Poiseuille's, Darcy's and Starling's law, respectively. It shows that angiostatin can decrease branching, anastomosis and proliferation of capillary sprouts and inhibit growth of a capillary network in metastatic tumor; Angiostatin can improve capacity of blood perfusion and material exchange within metastatic tumor microenvironment; Furthermore, angiostatin can increase convective flow out of vasculature and result in reduced difficulty of drug delivery and penetration within a metastatic tumor, which agree with experimental observed facts. It may provide theoretical references and foundation understandings for further clinical anti- angiogenic cancer therapy.