From http://www.mayoclinic.com/health/angiogenesis/CA00079

How can angiogenesis be stopped?

Researchers are investigating a number of ways to stop or alter the angiogenesis process, including:

1) Blocking initial signals from the tumor.

2) Making initial signals from the tumor less effective.

3) Stopping the enzyme pathway.

4) Normalizing mangled blood vessels.

5) Preventing the switch from turning on.

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More on angiogenesis inhibitors for mesothelioma treatment.