Continuous and discrete mathematical models of tumor-induced angiogenesis.

  title={Continuous and discrete mathematical models of tumor-induced angiogenesis.},
  author={Alexander R. A. Anderson and Mark A. J. Chaplain},
  journal={Bulletin of mathematical biology},
  volume={60 5},
Angiogenesis, the formation of blood vessels from a pre-existing vasculature, is a process whereby capillary sprouts are formed in response to externally supplied chemical stimuli. The sprouts then grow and develop, driven initially by endothelial-cell migration, and organize themselves into a dendritic structure. Subsequent cell proliferation near the sprout tip permits further extension of the capillary and ultimately completes the process. Angiogenesis occurs during embryogenesis, wound… CONTINUE READING
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