Angiogenesis, the expansion of the vascular system feeding a tumor, is cruc
ial to both primary tumors long-time growth and for the successful implanta
tion of metastases. We formulate a model that relates the energetic require
ments of the cancer cells to the production and diffusion of an angiogenic
factor and to the ensuing evolution of neighboring endothelial cells. The m
odel yields predictions for the development of neovascularization and for t
he increase in the blood flow to the tumor. We show that the directed growt
h of the vascular net is an emergent property and that therapies targeting
different stages of the angiogenic process might have a synergistic effect.