Andrzej Swierniak and Jerzy Klamka
Multimodal therapy, constrained controllability, semilinear systems, cancer modeling
We analyze sensitivity of sufficient conditions for local controllability for a class of models of treatment response to 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). Controllability of the models in the form of semilinear second order dynamic systems enables to expect that different objectives of treatment could be reached. We discuss the effect of different models of cancer growth (Gomperztian vs. logistic) and supporting vascular network growth. Moreover we analyze also sensitivity of controllability conditions with respect to delays in treatment actions.
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