Angiogenesis is how your body grows new blood vessels — it's a thing; look it up in your freshman physiology text. The woo comes in when Li argues that "angiogenesis therapy" promotes the growth of new blood vessels to "replenish the blood supply to chronic wounds to speed healing, and [prevent] unnecessary amputations."
In reality, angiogenesis can make you worse if you have metastatic (malignant) cancer. When a tumor metastasizes in a new area of the body, it starts tiny but sends out signals telling the surrounding tissue to grow new blood vessels so that it can feed. Without angiogenesis, the new tumor can't grow more than a pinhead. One cancer management therapy under serious study uses angiogenesis inhibitors such as thalidomide to prevent new blood vessels from forming.