Optimal control of a chemotaxis equation arising in angiogenesis

Abstract

In this paper we consider an optimal control for an equation that models a crucial step in the tumor development, the angiogenesis. We show the existence of an optimal control, we characterize the optimal control as a solution of the optimality system and we show the uniqueness of the optimal control for short times.

Keywords

• chemotaxis
• anti-angiogenic therapy
• optimal control