Apoptotic regulatory module as switched control system analysis of asymptotic properties

Magdalena Ochab; Andrzej Swierniak; Jerzy Klamka; Krzysztof Puszynski

doi:10.5220/0006593601190126

Apoptotic regulatory module as switched control system analysis of asymptotic properties

Magdalena Ochab
, Andrzej Swierniak
, Jerzy Klamka
, Krzysztof Puszynski

Silesian University of Technology

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

1 Citation (Scopus)

Abstract

Switching control systems are getting increased interests due to their capability to exhibit simultaneously several kinds of dynamic behaviour in different parts of the system. Such hybrid systems can be applied in many different fields. We present the application of the switched control systems in modelling a biological system, precisely a p53-dependent apoptotic intercellular pathway. Biological experiments show that cells exhibit variety of different behaviours for the same external stimuli. Differences in cell responses lead to population split into fractions. We present the analysis of asymptotic properties of the apoptotic regulatory module with respect to a parameter which describes an effect of an external stress. Results show that the system can exhibit two types of behaviour: stabilization or oscillation near the equilibrium point.

Original language	English
Title of host publication	BIOINFORMATICS 2018 - 9th International Conference on Bioinformatics Models, Methods and Algorithms, Proceedings; Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018
Editors	Paul Anderson, Hugo Gamboa, Ana Fred, Sergi Bermudez i Badia
Publisher	SciTePress
Pages	119-126
Number of pages	8
ISBN (Electronic)	9789897582806
DOIs	https://doi.org/10.5220/0006593601190126
Publication status	Published - 2018
Event	9th International Conference on Bioinformatics Models, Methods and Algorithms, BIOINFORMATICS 2018 - Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018 - Funchal, Madeira, Portugal Duration: 19 Jan 2018 → 21 Jan 2018

Publication series

Name	BIOINFORMATICS 2018 - 9th International Conference on Bioinformatics Models, Methods and Algorithms, Proceedings; Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018
Volume	3

Conference

Conference	9th International Conference on Bioinformatics Models, Methods and Algorithms, BIOINFORMATICS 2018 - Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018
Country/Territory	Portugal
City	Funchal, Madeira
Period	19/01/18 → 21/01/18

Keywords

Biological System
Piece-wise Linear Model
Switchings

ASJC Scopus subject areas

Biomedical Engineering
Electrical and Electronic Engineering
Health Informatics

Access to Document

10.5220/0006593601190126

Cite this

Ochab, M., Swierniak, A., Klamka, J., & Puszynski, K. (2018). Apoptotic regulatory module as switched control system analysis of asymptotic properties. In P. Anderson, H. Gamboa, A. Fred, & S. Bermudez i Badia (Eds.), BIOINFORMATICS 2018 - 9th International Conference on Bioinformatics Models, Methods and Algorithms, Proceedings; Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018 (pp. 119-126). (BIOINFORMATICS 2018 - 9th International Conference on Bioinformatics Models, Methods and Algorithms, Proceedings; Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018; Vol. 3). SciTePress. https://doi.org/10.5220/0006593601190126

Ochab, Magdalena ; Swierniak, Andrzej ; Klamka, Jerzy et al. / Apoptotic regulatory module as switched control system analysis of asymptotic properties. BIOINFORMATICS 2018 - 9th International Conference on Bioinformatics Models, Methods and Algorithms, Proceedings; Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018. editor / Paul Anderson ; Hugo Gamboa ; Ana Fred ; Sergi Bermudez i Badia. SciTePress, 2018. pp. 119-126 (BIOINFORMATICS 2018 - 9th International Conference on Bioinformatics Models, Methods and Algorithms, Proceedings; Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018).

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abstract = "Switching control systems are getting increased interests due to their capability to exhibit simultaneously several kinds of dynamic behaviour in different parts of the system. Such hybrid systems can be applied in many different fields. We present the application of the switched control systems in modelling a biological system, precisely a p53-dependent apoptotic intercellular pathway. Biological experiments show that cells exhibit variety of different behaviours for the same external stimuli. Differences in cell responses lead to population split into fractions. We present the analysis of asymptotic properties of the apoptotic regulatory module with respect to a parameter which describes an effect of an external stress. Results show that the system can exhibit two types of behaviour: stabilization or oscillation near the equilibrium point.",

keywords = "Biological System, Piece-wise Linear Model, Switchings",

author = "Magdalena Ochab and Andrzej Swierniak and Jerzy Klamka and Krzysztof Puszynski",

note = "Publisher Copyright: Copyright {\textcopyright} 2018 by SCITEPRESS {\textendash} Science and Technology Publications, Lda. All rights reserved; 9th International Conference on Bioinformatics Models, Methods and Algorithms, BIOINFORMATICS 2018 - Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018 ; Conference date: 19-01-2018 Through 21-01-2018",

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Ochab, M, Swierniak, A, Klamka, J & Puszynski, K 2018, Apoptotic regulatory module as switched control system analysis of asymptotic properties. in P Anderson, H Gamboa, A Fred & S Bermudez i Badia (eds), BIOINFORMATICS 2018 - 9th International Conference on Bioinformatics Models, Methods and Algorithms, Proceedings; Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018. BIOINFORMATICS 2018 - 9th International Conference on Bioinformatics Models, Methods and Algorithms, Proceedings; Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018, vol. 3, SciTePress, pp. 119-126, 9th International Conference on Bioinformatics Models, Methods and Algorithms, BIOINFORMATICS 2018 - Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018, Funchal, Madeira, Portugal, 19/01/18. https://doi.org/10.5220/0006593601190126

Apoptotic regulatory module as switched control system analysis of asymptotic properties. / Ochab, Magdalena; Swierniak, Andrzej; Klamka, Jerzy et al.
BIOINFORMATICS 2018 - 9th International Conference on Bioinformatics Models, Methods and Algorithms, Proceedings; Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018. ed. / Paul Anderson; Hugo Gamboa; Ana Fred; Sergi Bermudez i Badia. SciTePress, 2018. p. 119-126 (BIOINFORMATICS 2018 - 9th International Conference on Bioinformatics Models, Methods and Algorithms, Proceedings; Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018; Vol. 3).

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

TY - GEN

T1 - Apoptotic regulatory module as switched control system analysis of asymptotic properties

AU - Ochab, Magdalena

AU - Swierniak, Andrzej

AU - Klamka, Jerzy

AU - Puszynski, Krzysztof

PY - 2018

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N2 - Switching control systems are getting increased interests due to their capability to exhibit simultaneously several kinds of dynamic behaviour in different parts of the system. Such hybrid systems can be applied in many different fields. We present the application of the switched control systems in modelling a biological system, precisely a p53-dependent apoptotic intercellular pathway. Biological experiments show that cells exhibit variety of different behaviours for the same external stimuli. Differences in cell responses lead to population split into fractions. We present the analysis of asymptotic properties of the apoptotic regulatory module with respect to a parameter which describes an effect of an external stress. Results show that the system can exhibit two types of behaviour: stabilization or oscillation near the equilibrium point.

AB - Switching control systems are getting increased interests due to their capability to exhibit simultaneously several kinds of dynamic behaviour in different parts of the system. Such hybrid systems can be applied in many different fields. We present the application of the switched control systems in modelling a biological system, precisely a p53-dependent apoptotic intercellular pathway. Biological experiments show that cells exhibit variety of different behaviours for the same external stimuli. Differences in cell responses lead to population split into fractions. We present the analysis of asymptotic properties of the apoptotic regulatory module with respect to a parameter which describes an effect of an external stress. Results show that the system can exhibit two types of behaviour: stabilization or oscillation near the equilibrium point.

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KW - Piece-wise Linear Model

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SP - 119

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BT - BIOINFORMATICS 2018 - 9th International Conference on Bioinformatics Models, Methods and Algorithms, Proceedings; Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018

A2 - Anderson, Paul

A2 - Gamboa, Hugo

A2 - Fred, Ana

A2 - Bermudez i Badia, Sergi

PB - SciTePress

T2 - 9th International Conference on Bioinformatics Models, Methods and Algorithms, BIOINFORMATICS 2018 - Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018

Y2 - 19 January 2018 through 21 January 2018

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Ochab M, Swierniak A, Klamka J, Puszynski K. Apoptotic regulatory module as switched control system analysis of asymptotic properties. In Anderson P, Gamboa H, Fred A, Bermudez i Badia S, editors, BIOINFORMATICS 2018 - 9th International Conference on Bioinformatics Models, Methods and Algorithms, Proceedings; Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018. SciTePress. 2018. p. 119-126. (BIOINFORMATICS 2018 - 9th International Conference on Bioinformatics Models, Methods and Algorithms, Proceedings; Part of 11th International Joint Conference on Biomedical Engineering Systems and Technologies, BIOSTEC 2018). doi: 10.5220/0006593601190126

Apoptotic regulatory module as switched control system analysis of asymptotic properties

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