Abstract: We present 2D and 3D discrete mathematical models for migratory response of endothelial cells inside and outside a metastasic tumor based on a physiological fact that some primary tumor can inhibit metastasic tumor growth quickly. In models we consider inhibitory effects of angiostatin excreted by primary tumor, chemotactic effects of TAF due to metastasic tumor and random movement of endothelial cells and simulate spatiotemporal evolution of microvascular network inside and outside the metastasic tumor. It shows that the angiostatin excreted by primary tumor has obviously inhibitory effects on vascular growth rates, bifurcation amount and development of microvascular network inside and outside the metastasic tumor. Inhibitory effects of angiostatin decrease revascularization of a metastasic tumor and suppress growth of the metastasic tumor in tumor therapy. It provides theoretical references for experimental research on clinical anti-angiogenesis.

Key words: metastasic tumor, angiogenesis, angiostatin, inhibitory effects, mathematical model