126830 20250619084224.0 doi 10.1016/j.chaos.2023.113547 sideral 134143 ART-2023-134143 eng Faci-Lázaro, Sergio Universidad de Zaragoza Dynamical and topological conditions triggering the spontaneous activation of Izhikevich neuronal networks 2023 Access copy available to the general public Unrestricted Understanding the dynamic behavior of neuronal networks in silico is crucial for tackling the analysis of their biological counterparts and making accurate predictions. Of particular importance is determining the structural and dynamical conditions necessary for a neuronal network to activate spontaneously, transitioning from a quiescent ensemble of neurons to a network-wide coherent burst. Drawing from the versatility of the Master Stability Function, we have applied this formalism to a system of coupled neurons described by the Izhikevich model to derive the required conditions for activation. These conditions are expressed as a critical effective coupling , grounded in both topology and dynamics, above which the neuronal network will activate. For regular spiking neurons, average connectivity and noise play a significant role in their ability to activate. We have tested these conditions against numerical simulations of in silico networks, including both synthetic topologies and a biologically-realistic spatial network, showing that the theoretical conditions are well satisfied. Our findings indicate that neuronal networks readily meet the criteria for spontaneous activation, and that this capacity is weakly dependent on the microscopic details of the network as long as average connectivity and noise are sufficiently strong. info:eu-repo/grantAgreement/ES/DGA/E36-23R-FENOL info:eu-repo/grantAgreement/ES/MCINN/FEDER/PID2019--108842GB-C21 info:eu-repo/grantAgreement/ES/MICINN/PID2020-113582GB-I00 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 5.3 2023 PHYSICS, MATHEMATICAL 2 / 60 = 0.033 2023 Q1 T1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 7 / 135 = 0.052 2023 Q1 T1 PHYSICS, MULTIDISCIPLINARY 18 / 112 = 0.161 2023 Q1 T1 1.349 2023 Applied Mathematics 2023 Q1 Mathematical Physics 2023 Q1 Statistical and Nonlinear Physics 2023 Q1 Physics and Astronomy (miscellaneous) 2023 Q1 Mathematics (miscellaneous) 2023 Q1 13.2 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Soriano, Jordi Mazo, Juan José (orcid)0000-0003-0698-6555 Gómez-Gardeñes, Jesús Universidad de Zaragoza (orcid)0000-0001-5204-1937 2003 395 Universidad de Zaragoza Dpto. Física Materia Condensa. Área Física Materia Condensada 172 (2023), 113547 [7 pp.] Chaos, solitons fractals Chaos, Solitons and Fractals 0960-0779 1971985 http://zaguan.unizar.es/record/126830/files/texto_completo.pdf Versión publicada 2658295 http://zaguan.unizar.es/record/126830/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:126830 articulos driver 2025-06-19-08:41:30 ARTICLE