A switched systems approach to cancer therapy

A.I. Doban; M. Lazar

doi:10.1109/ECC.2015.7330949

A switched systems approach to cancer therapy

A.I. Doban, M. Lazar

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

6 Citations (Scopus)

2 Downloads (Pure)

Abstract

In this paper, we propose a systematic cancer therapy strategy, which is based on switching between successive parameter dependent domains of attraction. More specifically, we address the problem of steering a stable invasive tumor to tumor dormancy. A predator-prey model from the literature is considered for describing the tumor-normal cells interaction. For computing the domain of attraction of an equilibrium of interest, maximal rational Lyapunov functions are employed, which can be systematically computed for nonlinear systems. The proposed procedure confirms observations from medical practice and provides a useful tool for cancer therapy design and testing.

Original language	English
Title of host publication	2015 European Control Conference (ECC), 15-17 July 2015, Linz, Austria
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	2718-2724
DOIs	https://doi.org/10.1109/ECC.2015.7330949
Publication status	Published - 2015
Event	14th European Control Conference, ECC 2015 - Johannes Kepler University, Linz, Austria Duration: 15 Jul 2015 → 17 Jul 2015 Conference number: 14 http://www.ecc15.at/

Conference

Conference	14th European Control Conference, ECC 2015
Abbreviated title	ECC 2015
Country/Territory	Austria
City	Linz
Period	15/07/15 → 17/07/15
Other	European Control Conference
Internet address	http://www.ecc15.at/

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10.1109/ECC.2015.7330949

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title = "A switched systems approach to cancer therapy",

abstract = "In this paper, we propose a systematic cancer therapy strategy, which is based on switching between successive parameter dependent domains of attraction. More specifically, we address the problem of steering a stable invasive tumor to tumor dormancy. A predator-prey model from the literature is considered for describing the tumor-normal cells interaction. For computing the domain of attraction of an equilibrium of interest, maximal rational Lyapunov functions are employed, which can be systematically computed for nonlinear systems. The proposed procedure confirms observations from medical practice and provides a useful tool for cancer therapy design and testing.",

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publisher = "Institute of Electrical and Electronics Engineers",

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AU - Doban, A.I.

AU - Lazar, M.

N1 - Conference code: 14

PY - 2015

Y1 - 2015

N2 - In this paper, we propose a systematic cancer therapy strategy, which is based on switching between successive parameter dependent domains of attraction. More specifically, we address the problem of steering a stable invasive tumor to tumor dormancy. A predator-prey model from the literature is considered for describing the tumor-normal cells interaction. For computing the domain of attraction of an equilibrium of interest, maximal rational Lyapunov functions are employed, which can be systematically computed for nonlinear systems. The proposed procedure confirms observations from medical practice and provides a useful tool for cancer therapy design and testing.

AB - In this paper, we propose a systematic cancer therapy strategy, which is based on switching between successive parameter dependent domains of attraction. More specifically, we address the problem of steering a stable invasive tumor to tumor dormancy. A predator-prey model from the literature is considered for describing the tumor-normal cells interaction. For computing the domain of attraction of an equilibrium of interest, maximal rational Lyapunov functions are employed, which can be systematically computed for nonlinear systems. The proposed procedure confirms observations from medical practice and provides a useful tool for cancer therapy design and testing.

U2 - 10.1109/ECC.2015.7330949

DO - 10.1109/ECC.2015.7330949

M3 - Conference contribution

SP - 2718

EP - 2724

BT - 2015 European Control Conference (ECC), 15-17 July 2015, Linz, Austria

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

T2 - 14th European Control Conference, ECC 2015

Y2 - 15 July 2015 through 17 July 2015

ER -

A switched systems approach to cancer therapy

Abstract

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