Numerical simulation of solid tumor angiogenesis with Endostatin treatment： a combined analysis of inhibiting effect of anti-angiogenic factor and micro mechanical environment of extracellular matrix

To investigate the influence of anti-angiogenesis drug Endostatin on solid tumor angiogenesis, a mathematical model of tumor angiogenesis was developed with combined influences of local extra-cellular matrix mechanical environment, and the inhibiting effects of Angiostatin and Endostatin. Simulation results show that Angiostatin and Endostatin can effectively inhibit the process of tumor angiogenesis, and decrease the number of blood vessels in the tumor. The present model could be used as a valid theoretical method in the investigation of anti-angiogenic therapy of tumors.     

抗血管生成药物Endostantin作用下实体肿瘤血管生成的数值模拟:考虑基质力学环境及血管生成抑素的影响

为研究抗血管生成药物Endostatin作用下,肿瘤血管生成过程中基质力学环境及血管生成抑素的影响,考虑内皮细胞(EC)和细胞外基质(ECM)两相,耦合抗血管生成药物Endostatin和血管生成抑素Angiostatin的抑制效应,建立肿瘤内外血管生成的二维数值模型.抗血管生成因子Angiostatin和药物Endostatin耦合作用时,可明显降低肿瘤组织内的微血管密度,对肿瘤快速生长起到一定的抑制作用.所给出的模型,可以较好模拟基质力学环境影响下,肿瘤抗血管生成因子对内皮细胞迁移和增殖的抑制作用.