Apoptotic Regulatory Module as Switched Control System - Analysis of Asymptotic Properties

Magdalena Ochab, Andrzej Swierniak, Jerzy Klamka, Krzysztof Puszyński

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 Harvard Style

Ochab M., Swierniak A., Klamka J. and Puszyński K. (2018). Apoptotic Regulatory Module as Switched Control System - Analysis of Asymptotic Properties.In Proceedings of the 11th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 4: BIOINFORMATICS, ISBN 978-989-758-280-6, pages 119-126. DOI: 10.5220/0006593601190126


in Bibtex Style

@conference{bioinformatics18,
author={Magdalena Ochab and Andrzej Swierniak and Jerzy Klamka and Krzysztof Puszyński},
title={Apoptotic Regulatory Module as Switched Control System - Analysis of Asymptotic Properties},
booktitle={Proceedings of the 11th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 4: BIOINFORMATICS,},
year={2018},
pages={119-126},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006593601190126},
isbn={978-989-758-280-6},
}


in EndNote Style

TY - CONF

JO - Proceedings of the 11th International Joint Conference on Biomedical Engineering Systems and Technologies - Volume 4: BIOINFORMATICS,
TI - Apoptotic Regulatory Module as Switched Control System - Analysis of Asymptotic Properties
SN - 978-989-758-280-6
AU - Ochab M.
AU - Swierniak A.
AU - Klamka J.
AU - Puszyński K.
PY - 2018
SP - 119
EP - 126
DO - 10.5220/0006593601190126