Control Problems Arising in Combined Antiangiogenic Therapy and Radiotherapy

A. Swierniak (Poland)

Keywords

Modelling, optimization, radiotherapy, tumor angiogenesis, nonlinear systems

Abstract

A model of combined antiangiogenic therapy and radiotherapy of tumors is proposed and analyzed. The model is a modified Hahnfeldt model (proposed by d’Onofrio and Gandolfi) and we discuss its properties including its asymptotic behaviour under constant and periodic therapy. Then we propose an optimization problem in the final horizon which leads to the optimal treatment protocols. We find necessary conditions of its solution and discuss their biological meaning.

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