A mathematical model of the contribution of endothelial progenitor cells to angiogenesis in tumors: implications for antiangiogenic therapy

The traditional view of angiogenesis emphasizes proliferation and migration of vessel wall-associated endothelial cells. However, circulating endothelial progenitor cells have recently been shown to contribute to tumor angiogenesis. Here we quantify the relative contributions of endothelial and endothelial progenitor cells to angiogenesis using a mathematical model. The model predicts that during the early stages of tumor growth, endothelial progenitors have a significant impact on tumor growth and angiogenesis, mediated primarily by their localization in the tumor, not by their proliferation. The model also shows that, as the tumor grows, endothelial progenitors adhere preferentially near the tumor periphery, coincident with the location of highest vascular density, supporting their potential utility as vectors for targeted delivery of therapeutics. Model simulations of various antiangiogenic strategies show that those therapies that effectively target both endothelial and endothelial progenitor cells, either by restoring the balance between angiogenic stimulators and inhibitors or by targeting both types of cells directly, are most effective at delaying tumor growth. The combination of continuous low-dose chemotherapy and antiangiogenic therapy is predicted to have the most significant effect on therapeutic outcome. The model offers new insight into tumor angiogenesis with implications for the rational design of antiangiogenic therapy. (Blood. 2003;102:2555-2561)