Coevolution of information processing and topology in hierarchical adaptive random Boolean networks

Piotr Górski , Agnieszka Czaplicka , Janusz Hołyst

Abstract

Random Boolean Networks (RBNs) are frequently used for modeling complex systems driven by information processing, e.g. for gene regulatory networks (GRNs). Here we propose a hierarchical adaptive random Boolean Network (HARBN) as a system consisting of distinct adaptive RBNs (ARBNs) – subnetworks – connected by a set of permanent interlinks. We investigate mean node information, mean edge information as well as mean node degree. Information measures and internal subnetworks topology of HARBN coevolve and reach steady-states that are specific for a given network structure. The main natural feature of ARBNs, i.e. their adaptability, is preserved in HARBNs and they evolve towards critical configurations which is documented by power law distributions of network attractor lengths. The mean information processed by a single node or a single link increases with the number of interlinks added to the system. The mean length of network attractors and the mean steady-state connectivity possess minima for certain specific values of the quotient between the density of interlinks and the density of all links in networks. It means that the modular network displays extremal values of its observables when subnetworks are connected with a density a few times lower than a mean density of all links.
Author Piotr Górski PFENS
Piotr Górski,,
- Center of Physics in Economics and Social Sciences
, Agnieszka Czaplicka PFENS
Agnieszka Czaplicka,,
- Center of Physics in Economics and Social Sciences
, Janusz Hołyst PFENS
Janusz Hołyst,,
- Center of Physics in Economics and Social Sciences
Corporate authorThe Faculty of Physics, WUT (WF)
Journal seriesEuropean Physical Journal B, ISSN 1434-6028
Issue year2016
Vol89
Pages33-41
Publication size in sheets1.65
Keywords in EnglishStatistical and Nonlinear Physics
DOIDOI:10.1140/epjb/e2015-60530-6
URL http://link.springer.com/article/10.1140%2Fepjb%2Fe2015-60530-6
projectSelf-Organised information PrOcessing, CriticaLity and Emergence in multilevel Systems . Project leader: Hołyst Janusz, , Phone: 22 234 7133, start date 01-12-2012, end date 30-11-2015, 317534, Completed
WF 7 Framework Programme (7 FP) [7 Program Ramowy (7 PR)]
Languageen angielski
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Score (nominal)25
ScoreMinisterial score = 20.0, 28-11-2017, ArticleFromJournal
Ministerial score (2013-2016) = 25.0, 28-11-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 1.461 (2) - 2016=1.368 (5)
Citation count*6 (2018-02-16)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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