Möller, Marco ; Peixoto, Tiago P. (2024)
Maximum-entropy large-scale structures of Boolean networks optimized for criticality.
In: New Journal of Physics, 2015, 17 (4)
doi: 10.1088/1367-2630/17/4/043021
Artikel, Zweitveröffentlichung, Verlagsversion
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Kurzbeschreibung (Abstract)
We construct statistical ensembles of modular Boolean networks that are constrained to lie at the critical line between frozen and chaotic dynamic regimes. The ensembles are maximally random given the imposed constraints, and thus represent null models of critical networks. By varying the network density and the entropic cost associated with biased Boolean functions, the ensembles undergo several phase transitions. The observed structures range from fully random to several ordered ones, including a prominent core–periphery-like structure, and an ‘attenuated’ two-group structure, where the network is divided in two groups of nodes, and one of them has Boolean functions with very low sensitivity. This shows that such simple large-scale structures are the most likely to occur when optimizing for criticality, in the absence of any other constraint or competing optimization criteria.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2024 |
| Autor(en): | Möller, Marco ; Peixoto, Tiago P. |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Maximum-entropy large-scale structures of Boolean networks optimized for criticality |
| Sprache: | Englisch |
| Publikationsjahr: | 22 April 2024 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | 14 April 2015 |
| Ort der Erstveröffentlichung: | London |
| Verlag: | IOP Publishing |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | New Journal of Physics |
| Jahrgang/Volume einer Zeitschrift: | 17 |
| (Heft-)Nummer: | 4 |
| Kollation: | 9 Seiten |
| DOI: | 10.1088/1367-2630/17/4/043021 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/20587 |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (Abstract): | We construct statistical ensembles of modular Boolean networks that are constrained to lie at the critical line between frozen and chaotic dynamic regimes. The ensembles are maximally random given the imposed constraints, and thus represent null models of critical networks. By varying the network density and the entropic cost associated with biased Boolean functions, the ensembles undergo several phase transitions. The observed structures range from fully random to several ordered ones, including a prominent core–periphery-like structure, and an ‘attenuated’ two-group structure, where the network is divided in two groups of nodes, and one of them has Boolean functions with very low sensitivity. This shows that such simple large-scale structures are the most likely to occur when optimizing for criticality, in the absence of any other constraint or competing optimization criteria. |
| Freie Schlagworte: | Boolean networks, complex networks, evolved networks, criticality |
| ID-Nummer: | Artikel-ID: 043021 |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-205879 |
| 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: | 22 Apr 2024 09:07 |
| Letzte Änderung: | 23 Apr 2024 10:07 |
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- Maximum-entropy large-scale structures of Boolean networks optimized for criticality. (deposited 22 Apr 2024 09:07) [Gegenwärtig angezeigt]
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