【摘要】 利用Overture开发肿瘤血管新生模型的计算程序,使用有限差分法模拟肿瘤血管新生过程中,血管内皮细胞在细胞间基质中的增生和迁徙,阐明了血管内皮生长因子和血管新生因子的调节机制.针对三种调节因子的不同组合下的模型进行数值模拟,对比说明三种因子在肿瘤血管新生中的不同作用.模型计算结果与病理学现象实验一致.更多还原

【Abstract】 A mathematical model of tumor angiogenesis,regulated by vascular endothelial growth factor(VEGF) and angiopoietins(Ang-1,Ang-2),is presented.The Overture numerical simulation of this model is developed,and the result analysis shows the characteristics of the density changing of endothelial cells,vascular endothelial growth factor and angiopoietins in the extra-cellular matrix in tumor angiogenesis.There is a discussion of the simulation results of the model under four different situations,which shows the different roles of VEGF,Ang-1,Ang-2 in tumor angiogenesis.更多还原