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. 2022 Oct 21;12:17629. doi: 10.1038/s41598-022-22526-0

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© The Author(s) 2022

Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Spontaneous asynchronous firing in Kinouchi-Copelli neuronal netwrok. (A) Given a weak neuronal activity as the initial configuration, a larger branching ratio ( $σ = 1.97$ ) drives the Kinouchi-Copelli neuronal network to the spontaneous asynchronous firing (SAF) phase with stable neuronal activities, while a smaller branching ratio ( $σ = 1.84$ ) leads to the quiescent state with diminishing neuronal activities. (B) Snapshots of the Kinouchi-Copelli neuronal network in SAF and quiescent phases.