Angiogenesis is one of the many important processes that occurs in both normal development such as placental growth and embryonic development as well as in abnormal growth such as in the rapid growth of malignant tumors. The purpose of this talk is to give a sense of some of the underlying biochemical and mathematical ideas that have been coupled together to model this process. Most of what we have to say here has already appeared in the mathematical biology literature. However, we have added some new modifications that have yet to appear but that may offer new insight into modeling this complex phenomenon.
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