Sensitivity of controllability conditions for models of combined anticancer therapy

Andrzej Swierniak; Jerzy Klamka

doi:10.2316/P.2015.826-017

Sensitivity of controllability conditions for models of combined anticancer therapy

Andrzej Swierniak
, Jerzy Klamka

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

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.

Original language	English
Title of host publication	Proceedings of the IASTED International Conference Modelling, Identification and Control, MIC 2015
Publisher	Acta Press
Pages	110-116
Number of pages	7
ISBN (Electronic)	9780889869752
DOIs	https://doi.org/10.2316/P.2015.826-017
Publication status	Published - 2015
Event	2015 IASTED International Conference on Modelling, Identification and Control, MIC 2015 - Innsbruck, Austria Duration: 16 Feb 2015 → 17 Feb 2015

Publication series

Name	Proceedings of the IASTED International Conference on Modelling, Identification and Control
ISSN (Print)	1025-8973

Conference

Conference	2015 IASTED International Conference on Modelling, Identification and Control, MIC 2015
Country/Territory	Austria
City	Innsbruck
Period	16/02/15 → 17/02/15

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Cancer modeling
Constrained controllability
Multimodal therapy
Semilinear systems

ASJC Scopus subject areas

Software
Modeling and Simulation
Computer Science Applications

Access to Document

10.2316/P.2015.826-017

Cite this

Swierniak, A., & Klamka, J. (2015). Sensitivity of controllability conditions for models of combined anticancer therapy. In Proceedings of the IASTED International Conference Modelling, Identification and Control, MIC 2015 (pp. 110-116). (Proceedings of the IASTED International Conference on Modelling, Identification and Control). Acta Press. https://doi.org/10.2316/P.2015.826-017

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title = "Sensitivity of controllability conditions for models of combined anticancer therapy",

abstract = "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.",

keywords = "Cancer modeling, Constrained controllability, Multimodal therapy, Semilinear systems",

author = "Andrzej Swierniak and Jerzy Klamka",

note = "Publisher Copyright: {\textcopyright} 2015, Acta Press. All rights reserved.; 2015 IASTED International Conference on Modelling, Identification and Control, MIC 2015 ; Conference date: 16-02-2015 Through 17-02-2015",

year = "2015",

doi = "10.2316/P.2015.826-017",

language = "English",

series = "Proceedings of the IASTED International Conference on Modelling, Identification and Control",

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Swierniak, A & Klamka, J 2015, Sensitivity of controllability conditions for models of combined anticancer therapy. in Proceedings of the IASTED International Conference Modelling, Identification and Control, MIC 2015. Proceedings of the IASTED International Conference on Modelling, Identification and Control, Acta Press, pp. 110-116, 2015 IASTED International Conference on Modelling, Identification and Control, MIC 2015, Innsbruck, Austria, 16/02/15. https://doi.org/10.2316/P.2015.826-017

Sensitivity of controllability conditions for models of combined anticancer therapy. / Swierniak, Andrzej; Klamka, Jerzy.
Proceedings of the IASTED International Conference Modelling, Identification and Control, MIC 2015. Acta Press, 2015. p. 110-116 (Proceedings of the IASTED International Conference on Modelling, Identification and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Klamka, Jerzy

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N2 - 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.

AB - 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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KW - Constrained controllability

KW - Multimodal therapy

KW - Semilinear systems

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BT - Proceedings of the IASTED International Conference Modelling, Identification and Control, MIC 2015

PB - Acta Press

T2 - 2015 IASTED International Conference on Modelling, Identification and Control, MIC 2015

Y2 - 16 February 2015 through 17 February 2015

ER -

Sensitivity of controllability conditions for models of combined anticancer therapy

Abstract

Publication series

Conference

UN SDGs

Keywords

ASJC Scopus subject areas

Access to Document

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