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Authors: Magdalena Ochab ; Andrzej Swierniak ; Jerzy Klamka and Krzysztof Puszyński

Affiliation: Silesian University of Technology, Poland

Keyword(s): Biological System, Piece-wise Linear Model, Switchings.

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.

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Paper citation in several formats:
Ochab, M.; Swierniak, A.; Klamka, J. and Puszyński, K. (2018). Apoptotic Regulatory Module as Switched Control System. In Proceedings of the 11th International Joint Conference on Biomedical Engineering Systems and Technologies (BIOSTEC 2018) - BIOINFORMATICS; ISBN 978-989-758-280-6; ISSN 2184-4305, SciTePress, pages 119-126. DOI: 10.5220/0006593601190126

@conference{bioinformatics18,
author={Magdalena Ochab. and Andrzej Swierniak. and Jerzy Klamka. and Krzysztof Puszyński.},
title={Apoptotic Regulatory Module as Switched Control System},
booktitle={Proceedings of the 11th International Joint Conference on Biomedical Engineering Systems and Technologies (BIOSTEC 2018) - BIOINFORMATICS},
year={2018},
pages={119-126},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006593601190126},
isbn={978-989-758-280-6},
issn={2184-4305},
}

TY - CONF

JO - Proceedings of the 11th International Joint Conference on Biomedical Engineering Systems and Technologies (BIOSTEC 2018) - BIOINFORMATICS
TI - Apoptotic Regulatory Module as Switched Control System
SN - 978-989-758-280-6
IS - 2184-4305
AU - Ochab, M.
AU - Swierniak, A.
AU - Klamka, J.
AU - Puszyński, K.
PY - 2018
SP - 119
EP - 126
DO - 10.5220/0006593601190126
PB - SciTePress

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