Novel Kuramoto model with inhibition dynamics modeling scale-free avalanches and synchronization in neuronal cultures
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911327920848896 |
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| author | Lucente, Dario Cerutti, Letizia Brofiga, Martina Sarracino, Alessandro Parodi, Giulia Martinoia, Sergio Massobrio, Paolo de Arcangelis, Lucilla |
| author_facet | Lucente, Dario Cerutti, Letizia Brofiga, Martina Sarracino, Alessandro Parodi, Giulia Martinoia, Sergio Massobrio, Paolo de Arcangelis, Lucilla |
| contents | Neuronal cultures exhibit a complex activity, bursts, or avalanches, characterized by the coexistence of scale invariance and synchronization, quite stable with the percentage of inhibitory neurons. While this bistable behavior has been already observed in the past, the characterization of the statistical properties of avalanche activity and their temporal organization is still lacking, as well as a model able to reproduce these dynamics. Here, we analyze experimental data of human neuronal cultures with controlled percentage of inhibitory neurons and characterize their statistical properties and dynamical organization. In order to model the experimental data, we propose a novel version of the Kuramoto model for two populations of oscillators, excitatory and inhibitory, implementing successfully the inhibition dynamics. The model can fully reproduce the experimental results, confirming the existence of correlations in the temporal organization of avalanche activity and the presence of an amplification - attenuation regime, as found in the human brain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17317 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Novel Kuramoto model with inhibition dynamics modeling scale-free avalanches and synchronization in neuronal cultures Lucente, Dario Cerutti, Letizia Brofiga, Martina Sarracino, Alessandro Parodi, Giulia Martinoia, Sergio Massobrio, Paolo de Arcangelis, Lucilla Neurons and Cognition Disordered Systems and Neural Networks Neuronal cultures exhibit a complex activity, bursts, or avalanches, characterized by the coexistence of scale invariance and synchronization, quite stable with the percentage of inhibitory neurons. While this bistable behavior has been already observed in the past, the characterization of the statistical properties of avalanche activity and their temporal organization is still lacking, as well as a model able to reproduce these dynamics. Here, we analyze experimental data of human neuronal cultures with controlled percentage of inhibitory neurons and characterize their statistical properties and dynamical organization. In order to model the experimental data, we propose a novel version of the Kuramoto model for two populations of oscillators, excitatory and inhibitory, implementing successfully the inhibition dynamics. The model can fully reproduce the experimental results, confirming the existence of correlations in the temporal organization of avalanche activity and the presence of an amplification - attenuation regime, as found in the human brain. |
| title | Novel Kuramoto model with inhibition dynamics modeling scale-free avalanches and synchronization in neuronal cultures |
| topic | Neurons and Cognition Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2512.17317 |