Comparison of Controllability Conditions for Models of Antiangiogenic and Combined Anticancer Therapy

Abstract

We compare sufficient conditions for local controllability for a class of models of treatment response to antiangiogenic and combined anticancer therapies. The combined therapy is understood as combination of direct anticancer strategy e.g. chemotherapy and indirect modality (in this case antiangiogenic therapy). We discuss different control objectives related to multimodal therapies in the light of present knowledge of self-organization of tumor cell populations treated by anticancer drugs. Controllability of the models in the form of semilinear second order dynamic systems enables to expect that the objectives could be reached.