Control theoretic approach to combined anticancer therapies

Abstract

A model of a combination of antiangiogenic treatment and chemotherapy is proposed and analyzed. The model is a modified Hahnfeldt model and the analysis has two goals: first of all we check stability of the equilibrium point of the model to find conditions leading to tumour eradication for constant dosing and periodic treatment then we propose an optimization problem and give necessary conditions of its solution. We discuss modifications of the model which enable more realistic description of treatment effects.