Optimization of combined anticancer treatment using models with multiple control delays

Helmut Maurer; Andrzej Świerniak

doi:10.1007/978-3-319-60699-6_77

Optimization of combined anticancer treatment using models with multiple control delays

Helmut Maurer
, Andrzej Świerniak

Katedra Inżynierii i Biologii Systemów (RAU/RAU1)

University of Münster
Silesian University of Technology

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

Abstrakt

In the paper we study some control properties of a two compartmental model of response to anticancer treatment which combines antiangiogenic and cytotoxic drugs and takes into account multiple delays in control. Mode precisely we formulate sufficient local controllability conditions for semilinear systems which result from the use of Hakufeldt et al. model, endowed with two control variables representing antiangiogenic modality, combined with chemotherapy which contain delays related to PK/PD effects and some clinical recommendations e.g. normalization of vascular network. Then the optimized protocols of the combined therapy for the model, considered as solutions of an optimal control problem for dynamical systems with delays in control, are found using necessary conditions of optimality and numerical calculations. Structural sensitivity of considered control properties and optimal solutions are also discussed.

Język oryginału	angielski
Tytuł publikacji goszczącej	Trends in Advanced Intelligent Control, Optimization and Automation - Proceedings of KKA 2017-The 19th Polish Control Conference, 2017
Redaktorzy	Wojciech Mitkowski, Krzysztof Oprzedkiewicz, Pawel Skruch, Janusz Kacprzyk
Wydawca	Springer Verlag
Strony	799-817
Liczba stron	19
ISBN (drukowany)	9783319606989
Identyfikatory DOI	https://doi.org/10.1007/978-3-319-60699-6_77
Status publikacji	Opublikowano - 2017
Wydarzenie	19th Polish Control Conference, KKA 2017 - Krakow, Polska Czas trwania: 18 cze 2017 → 21 cze 2017

Seria publikacji

Nazwa	Advances in Intelligent Systems and Computing
Tom	577
ISSN (drukowany)	2194-5357

Konferencja

Konferencja	19th Polish Control Conference, KKA 2017
Kraj/Terytorium	Polska
Miejscowość	Krakow
Okres	18/06/17 → 21/06/17

Cele SDG ONZ

Ten wynik przyczynia się do realizacji następujących celów zrównoważonego rozwoju

Cel 3 Dobre zdrowie i dobre samopoczucie

Obszary tematyczne ASJC Scopus

Inżynieria sterowania i systemów
Informatyka ogólna

Uzyskaj dostęp do dokumentu

10.1007/978-3-319-60699-6_77

Inne pliki i linki

Link do publikacji w Scopus

Cytowanie

Maurer, H., & Świerniak, A. (2017). Optimization of combined anticancer treatment using models with multiple control delays. W W. Mitkowski, K. Oprzedkiewicz, P. Skruch, & J. Kacprzyk (Red.), Trends in Advanced Intelligent Control, Optimization and Automation - Proceedings of KKA 2017-The 19th Polish Control Conference, 2017 (str. 799-817). (Advances in Intelligent Systems and Computing; Tom 577). Springer Verlag. https://doi.org/10.1007/978-3-319-60699-6_77

Maurer, Helmut ; Świerniak, Andrzej. / Optimization of combined anticancer treatment using models with multiple control delays. Trends in Advanced Intelligent Control, Optimization and Automation - Proceedings of KKA 2017-The 19th Polish Control Conference, 2017. redaktor / Wojciech Mitkowski ; Krzysztof Oprzedkiewicz ; Pawel Skruch ; Janusz Kacprzyk. Springer Verlag, 2017. str. 799-817 (Advances in Intelligent Systems and Computing).

@inproceedings{ac96fb2e5fce460aace2a28f3eae080a,

title = "Optimization of combined anticancer treatment using models with multiple control delays",

abstract = "In the paper we study some control properties of a two compartmental model of response to anticancer treatment which combines antiangiogenic and cytotoxic drugs and takes into account multiple delays in control. Mode precisely we formulate sufficient local controllability conditions for semilinear systems which result from the use of Hakufeldt et al. model, endowed with two control variables representing antiangiogenic modality, combined with chemotherapy which contain delays related to PK/PD effects and some clinical recommendations e.g. normalization of vascular network. Then the optimized protocols of the combined therapy for the model, considered as solutions of an optimal control problem for dynamical systems with delays in control, are found using necessary conditions of optimality and numerical calculations. Structural sensitivity of considered control properties and optimal solutions are also discussed.",

author = "Helmut Maurer and Andrzej {\'S}wierniak",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.; 19th Polish Control Conference, KKA 2017 ; Conference date: 18-06-2017 Through 21-06-2017",

year = "2017",

doi = "10.1007/978-3-319-60699-6\_77",

language = "English",

isbn = "9783319606989",

series = "Advances in Intelligent Systems and Computing",

publisher = "Springer Verlag",

pages = "799--817",

editor = "Wojciech Mitkowski and Krzysztof Oprzedkiewicz and Pawel Skruch and Janusz Kacprzyk",

booktitle = "Trends in Advanced Intelligent Control, Optimization and Automation - Proceedings of KKA 2017-The 19th Polish Control Conference, 2017",

address = "Germany",

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Maurer, H & Świerniak, A 2017, Optimization of combined anticancer treatment using models with multiple control delays. w W Mitkowski, K Oprzedkiewicz, P Skruch & J Kacprzyk (red), Trends in Advanced Intelligent Control, Optimization and Automation - Proceedings of KKA 2017-The 19th Polish Control Conference, 2017. Advances in Intelligent Systems and Computing, tom 577, Springer Verlag, str. 799-817, 19th Polish Control Conference, KKA 2017, Krakow, Polska, 18/06/17. https://doi.org/10.1007/978-3-319-60699-6_77

Optimization of combined anticancer treatment using models with multiple control delays. / Maurer, Helmut; Świerniak, Andrzej.
Trends in Advanced Intelligent Control, Optimization and Automation - Proceedings of KKA 2017-The 19th Polish Control Conference, 2017. red. / Wojciech Mitkowski; Krzysztof Oprzedkiewicz; Pawel Skruch; Janusz Kacprzyk. Springer Verlag, 2017. str. 799-817 (Advances in Intelligent Systems and Computing; Tom 577).

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

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N2 - In the paper we study some control properties of a two compartmental model of response to anticancer treatment which combines antiangiogenic and cytotoxic drugs and takes into account multiple delays in control. Mode precisely we formulate sufficient local controllability conditions for semilinear systems which result from the use of Hakufeldt et al. model, endowed with two control variables representing antiangiogenic modality, combined with chemotherapy which contain delays related to PK/PD effects and some clinical recommendations e.g. normalization of vascular network. Then the optimized protocols of the combined therapy for the model, considered as solutions of an optimal control problem for dynamical systems with delays in control, are found using necessary conditions of optimality and numerical calculations. Structural sensitivity of considered control properties and optimal solutions are also discussed.

AB - In the paper we study some control properties of a two compartmental model of response to anticancer treatment which combines antiangiogenic and cytotoxic drugs and takes into account multiple delays in control. Mode precisely we formulate sufficient local controllability conditions for semilinear systems which result from the use of Hakufeldt et al. model, endowed with two control variables representing antiangiogenic modality, combined with chemotherapy which contain delays related to PK/PD effects and some clinical recommendations e.g. normalization of vascular network. Then the optimized protocols of the combined therapy for the model, considered as solutions of an optimal control problem for dynamical systems with delays in control, are found using necessary conditions of optimality and numerical calculations. Structural sensitivity of considered control properties and optimal solutions are also discussed.

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Maurer H, Świerniak A. Optimization of combined anticancer treatment using models with multiple control delays. W Mitkowski W, Oprzedkiewicz K, Skruch P, Kacprzyk J, redaktorzy, Trends in Advanced Intelligent Control, Optimization and Automation - Proceedings of KKA 2017-The 19th Polish Control Conference, 2017. Springer Verlag. 2017. str. 799-817. (Advances in Intelligent Systems and Computing). doi: 10.1007/978-3-319-60699-6_77

Optimization of combined anticancer treatment using models with multiple control delays

Abstrakt

Seria publikacji

Konferencja

Cele SDG ONZ

Obszary tematyczne ASJC Scopus

Uzyskaj dostęp do dokumentu

Inne pliki i linki

Fingerprint

Cytowanie