中文摘要：

数值模拟抗血管生成药物内皮抑素对肿瘤血管生成的抑制效应.建立内皮抑素作用下肿瘤内外血管生成的二维、三维离散数学模型,模型中考虑内皮抑素的抑制作用、内皮细胞自身的增殖、促血管生成因子TAF和Fibronectin对内皮细胞产生的趋化性和趋触性以及内皮细胞自身扩散引起的随机性运动,数值模拟肿瘤内外微血管网的生成过程.模拟结果表明,抗血管生成药物内皮抑素对肿瘤内外血管生成的速度、成熟度以及血管分支数量均有明显的抑制作用,从而有效地抑制肿瘤新生血管的形成.该模型能够较好地模拟内皮抑素对肿瘤血管内皮细胞迁移与增殖的抑制效应,为临床抗血管生成治疗肿瘤提供有益的信息.

英文摘要：

The inhibitory effects of anti-angiogenic drug Endostatin on tumor angiogenesis are simulated by adopting 2D and 3D discrete mathematical models, which are used to describe the formation of capillary networks inside and outside the tumor. In the discrete mathematical models, five factors were mainly taken into account the influence of the migration of endothelial cells： （i） proliferation and （ii） random motility Of the endothelial cells; （iii） chemotaxis in response to tumor angiogenic factor （TAF） released by the tumor; （iv） haptotaxis in response to fibronectin gradients in the extracellular matrix, especially the inhibitory action of anti- angiogenic drug Endostatin, and （v） inhibitory effects of Endostatin. Meanwhile, spatiotemporal evolution of 2D and 3D tumor microvascular networks is performed. The simulation results indicate that anti-angiogenic drug Endostatin obviously has the inhibitory effects on the rate of blood vessels growth, the bifurcation amount and the development of the microvascular network inside and outside the tumor. Furthermore, the microvascular networks generated by the present mathematical models have relatively realistic structure and morphology inside and outside the tumor. These results may provide beneficial information for anti-angiogenesis treatment of tumor and further clinical research.