Homeostatic criticality in neuronal networks

Gustavo Menesse, Bóris Marin, Mauricio Girardi-Schappo and Osame Kinouchi

Chaos, Solitons & Fractals, 2022, vol. 156, issue C

Abstract: In self-organized criticality (SOC) models, as well as in standard phase transitions, criticality is only present for vanishing external fields h→0. Considering that this is rarely the case for natural systems, such a restriction poses a challenge to the explanatory power of these models. Besides that, in models of dissipative systems like earthquakes, forest fires, and neuronal networks, there is no true critical behavior, as expressed in clean power laws obeying finite-size scaling, but a scenario called “dirty” criticality or self-organized quasi-criticality (SOqC). Here, we propose simple homeostatic mechanisms which promote self-organization of coupling strengths, gains, and firing thresholds in neuronal networks. We show that with an adequate separation of the timescales for the coupling strength and firing threshold dynamics, near criticality (SOqC) can be reached and sustained even in the presence of significant external input. The firing thresholds adapt to and cancel the inputs (h decreases towards zero). Similar mechanisms can be proposed for the couplings and local thresholds in spin systems and cellular automata, which could lead to applications in earthquake, forest fire, stellar flare, voting, and epidemic modeling.

Keywords: Self-organized criticality; Neuronal avalanches; Self-organization; Neuronal networks; Adaptive networks; Homeostasis; Synaptic depression (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000881

DOI: 10.1016/j.chaos.2022.111877

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