Optimal control oriented to therapy for a free-boundary tumor growth model.

摘要: This paper is devoted to present and solve some optimal control problems, oriented therapy, for a particular model of tumor growth. In the considered systems, state given by one or several functions that provide information on cell population also shape evolution time dependent function associated therapy strategy (in practice, cytotoxic drug). We first analyze (based PDEs) related problems. The solutions are expected best strategies set constraints (here, cost objective measure number cells at final T). recall mathematical techniques solving optimization problems we illustrate behavior methods validity models with numerical experiments. view results, able design appropriate that, least extent, confirmed real data. Finally, conclusions indications future work.