ArticleScientific reports2021
Box scaling as a proxy of finite size correlations.
Article in Scientific reports, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Trial-by-trial variability in cortical responses exhibits scaling of spatial correlations predicted from critical dynamics.Cell reports · 2024Article
- Scale-free correlations and potential criticality in weakly ordered populations of brain cancer cells.Science advances · 2023Article
- Disentangling the critical signatures of neural activity.Scientific reports · 2022Article
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6 authors.
Funding
Abstract
The scaling of correlations as a function of size provides important hints to understand critical phenomena on a variety of systems. Its study in biological structures offers two challenges: usually they are not of infinite size, and, in the majority of cases, dimensions can not be varied at will. Here we discuss how finite-size scaling can be approximated in an experimental system of fixed and relatively small extent, by computing correlations inside of a reduced field of view of various widths (we will refer to this procedure as "box-scaling"). A relation among the size of the field of view, and measured correlation length, is derived at, and away from, the critical regime. Numerical simulations of a neuronal network, as well as the ferromagnetic 2D Ising model, are used to verify such approximations. Numerical results support the validity of the heuristic approach, which should be useful to characterize relevant aspects of critical phenomena in biological systems.
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