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Reliable dynamics in Boolean and continuous networks

Ackermann, Eva ; Peixoto, Tiago P. ; Drossel, Barbara (2012)
Reliable dynamics in Boolean and continuous networks.
In: New Journal of Physics, 14 (12)
doi: 10.1088/1367-2630/14/12/123029
Article, Bibliographie

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Abstract

We investigate the dynamical behavior of a model of robust gene regulatory networks which possess 'entirely reliable' trajectories. In a Boolean representation, these trajectories are characterized by being insensitive to the order in which the nodes are updated, i.e. they always go through the same sequence of states. The Boolean model for gene activity is compared with a continuous description in terms of differential equations for the concentrations of mRNA and proteins. We found that entirely reliable Boolean trajectories can be reproduced perfectly in the continuous model when realistic Hill coefficients are used. We investigate to what extent this high correspondence between Boolean and continuous trajectories depends on the extent of reliability of the Boolean trajectories, and we identify simple criteria that enable the faithful reproduction of the Boolean dynamics in the continuous description.

Item Type: Article
Erschienen: 2012
Creators: Ackermann, Eva ; Peixoto, Tiago P. ; Drossel, Barbara
Type of entry: Bibliographie
Title: Reliable dynamics in Boolean and continuous networks
Language: English
Date: 19 December 2012
Publisher: IOP Publishing
Journal or Publication Title: New Journal of Physics
Volume of the journal: 14
Issue Number: 12
Collation: 17 Seiten
DOI: 10.1088/1367-2630/14/12/123029
URL / URN: http://iopscience.iop.org/1367-2630/14/12/123029/
Corresponding Links:
Abstract:

We investigate the dynamical behavior of a model of robust gene regulatory networks which possess 'entirely reliable' trajectories. In a Boolean representation, these trajectories are characterized by being insensitive to the order in which the nodes are updated, i.e. they always go through the same sequence of states. The Boolean model for gene activity is compared with a continuous description in terms of differential equations for the concentrations of mRNA and proteins. We found that entirely reliable Boolean trajectories can be reproduced perfectly in the continuous model when realistic Hill coefficients are used. We investigate to what extent this high correspondence between Boolean and continuous trajectories depends on the extent of reliability of the Boolean trajectories, and we identify simple criteria that enable the faithful reproduction of the Boolean dynamics in the continuous description.

Additional Information:

Art.No.: 123029; Erstveröffentlichung

Divisions: 05 Department of Physics
05 Department of Physics > Institute for condensed matter physics (2021 merged in Institute for Condensed Matter Physics)
05 Department of Physics > Institute for condensed matter physics (2021 merged in Institute for Condensed Matter Physics) > Statistische Physik und komplexe Systeme
05 Department of Physics > Institute for Condensed Matter Physics
Date Deposited: 17 Jan 2013 12:31
Last Modified: 08 Dec 2023 13:27
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Funders: DFG
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