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Boolean networks with robust and reliable trajectories

Schmal, Christoph ; Peixoto, Tiago P. ; Drossel, Barbara (2024)
Boolean networks with robust and reliable trajectories.
In: New Journal of Physics, 2010, 12 (11)
doi: 10.26083/tuprints-00020561
Artikel, Zweitveröffentlichung, Verlagsversion

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Kurzbeschreibung (Abstract)

We construct and investigate Boolean networks that follow a given reliable trajectory in state space, which is insensitive to fluctuations in the updating schedule and which is also robust against noise. Robustness is quantified as the probability that the dynamics return to the reliable trajectory after a perturbation of the state of a single node. In order to achieve high robustness, we navigate through the space of possible update functions by using an evolutionary algorithm. We constrain the networks to those having the minimum number of connections required to obtain the reliable trajectory. Surprisingly, we find that robustness always reaches values close to 100% during the evolutionary optimization process. The set of update functions can be evolved such that it differs only slightly from that of networks that were not optimized with respect to robustness. The state space of the optimized networks is dominated by the basin of attraction of the reliable trajectory.

Typ des Eintrags: Artikel
Erschienen: 2024
Autor(en): Schmal, Christoph ; Peixoto, Tiago P. ; Drossel, Barbara
Art des Eintrags: Zweitveröffentlichung
Titel: Boolean networks with robust and reliable trajectories
Sprache: Englisch
Publikationsjahr: 5 März 2024
Ort: Darmstadt
Publikationsdatum der Erstveröffentlichung: 30 November 2010
Ort der Erstveröffentlichung: London
Verlag: IOP Publishing
Titel der Zeitschrift, Zeitung oder Schriftenreihe: New Journal of Physics
Jahrgang/Volume einer Zeitschrift: 12
(Heft-)Nummer: 11
Kollation: 13 Seiten
DOI: 10.26083/tuprints-00020561
URL / URN: https://tuprints.ulb.tu-darmstadt.de/20561
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Herkunft: Zweitveröffentlichung DeepGreen
Kurzbeschreibung (Abstract):

We construct and investigate Boolean networks that follow a given reliable trajectory in state space, which is insensitive to fluctuations in the updating schedule and which is also robust against noise. Robustness is quantified as the probability that the dynamics return to the reliable trajectory after a perturbation of the state of a single node. In order to achieve high robustness, we navigate through the space of possible update functions by using an evolutionary algorithm. We constrain the networks to those having the minimum number of connections required to obtain the reliable trajectory. Surprisingly, we find that robustness always reaches values close to 100% during the evolutionary optimization process. The set of update functions can be evolved such that it differs only slightly from that of networks that were not optimized with respect to robustness. The state space of the optimized networks is dominated by the basin of attraction of the reliable trajectory.

ID-Nummer: Artikel-ID: 113054
Status: Verlagsversion
URN: urn:nbn:de:tuda-tuprints-205610
Sachgruppe der Dewey Dezimalklassifikatin (DDC): 500 Naturwissenschaften und Mathematik > 530 Physik
Fachbereich(e)/-gebiet(e): 05 Fachbereich Physik
05 Fachbereich Physik > Institut für Physik Kondensierter Materie (IPKM)
Hinterlegungsdatum: 05 Mär 2024 10:13
Letzte Änderung: 07 Mär 2024 10:21
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