ArticleEntropy (Basel, Switzerland)2023
Temporal, Structural, and Functional Heterogeneities Extend Criticality and Antifragility in Random Boolean Networks.
Article in Entropy (Basel, Switzerland), 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
4 citing papers in PubMed.
- Characterizing open-ended evolution through undecidability mechanisms in random Boolean networks.NPJ systems biology and applications · 2026Article
- A Learning Probabilistic Boolean Network Model of a Manufacturing Process with Applications in System Asset Maintenance.Entropy (Basel, Switzerland) · 2025Article
- Information structure of heterogeneous criticality in a fish school.Scientific reports · 2024Article
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Authors and funding
3 authors.
Funding
Abstract
Most models of complex systems have been homogeneous, i.e., all elements have the same properties (spatial, temporal, structural, functional). However, most natural systems are heterogeneous: few elements are more relevant, larger, stronger, or faster than others. In homogeneous systems, criticality-a balance between change and stability, order and chaos-is usually found for a very narrow region in the parameter space, close to a phase transition. Using random Boolean networks-a general model of discrete dynamical systems-we show that heterogeneity-in time, structure, and function-can broaden additively the parameter region where criticality is found. Moreover, parameter regions where antifragility is found are also increased with heterogeneity. However, maximum antifragility is found for particular parameters in homogeneous networks. Our work suggests that the "optimal" balance between homogeneity and heterogeneity is non-trivial, context-dependent, and in some cases, dynamic.
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Registered trials
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