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Local Controllability of Models of Combined Anticancer Therapy with Delays in Control

Published online by Cambridge University Press:  20 June 2014

A. Świerniak  and
J. Klamka
A. Świerniak*
Affiliation:
Department of Automatic Control, Silesian University of Technology, 44-100 Gliwice, Poland
J. Klamka
Affiliation:
Department of Automatic Control, Silesian University of Technology, 44-100 Gliwice, Poland
*
⋆ Corresponding author. E-mail: Andrzej.Swierniak@polsl.pl
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Abstract

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.

Keywords

multimodal therapyconstrained controllabilitysemilinear systemssystems with delays
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 9 , Issue 4: Optimal control , 2014 , pp. 216 - 226
Copyright
© EDP Sciences, 2014

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