Math. Model. Nat. Phenom.
Volume 9, Number 4, 2014Optimal control
|Page(s)||216 - 226|
|Published online||20 June 2014|
Local Controllability of Models of Combined Anticancer Therapy with Delays in Control
Department of Automatic Control, Silesian University of Technology, 44-100 Gliwice, Poland
Corresponding author. E-mail: Andrzej.Swierniak@polsl.pl
We present sufficient conditions of local controllability for a class of models of treatment response to combined anticancer therapies which include delays in control strategies. 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 with delays in control enables to answer the questions of realizability of different objectives of multimodal therapy in the presence of PK/PD effects. We compare results for the models without delays and conditions for relative local controllability of models with delays.
Mathematics Subject Classification: 93B05 / 93C10 / 92C45 / 92D25 / 93C15
Key words: multimodal therapy / constrained controllability / semilinear systems / systems with delays
© EDP Sciences, 2014
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