APPLICATION OF THE PONTRYAGIN MAXIMUM PRINCIPLE TO CONTROL TUMOR ANGIOGENESIS
Otmane Cherif Abdelillah
Lobachevsky State University of Nizhny Novgorod (UNN)
Abstract. We present a sample application covering several cases using an extension of the Pontryagin Minimum Principle (PMP) . We are interested in the management of tumor angiogenesis, that is, the therapeutic management of the proliferation of cancer cells that develop new blood vessels. Let us formulate the problem and derive the optimal control and apply the Pontryagin maximum principle to our optimal trajectory, and we derive the theorem and check it with an example. Then we will study stabilization.
Keywords: optimal control, Pontryagin’s maximum principle, minimization, control of tumor angiogenesis, stabilization.