Effect of the objective on optimal controls for a system describing tumor anti-angiogenesis

Anti-angiogenic therapy is a novel treatment approach for cancer that aims at preventing a tumor from developing its own network of blood vessels that it needs for its supply of nutrients and thus indirectly inhibits the growth of the tumor. In this note a mathematical model for anti-angiogenic treatment is considered as a 3- dimensional optimal control problem with the aim of minimizing a convex combination of tumor volume and endothelial support. The latter represents a measure for the size of the tumor's vasculature. The results are com- pared with the solutions for the problem when only the tumor volume is minimized.

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