Coherent oscillations in balanced neural networks driven by endogenous fluctuations
| Autor: | Matteo di Volo, Marco Segneri, Alessandro Torcini, Denis S. Goldobin, Antonio Z. Politi |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Models
Neurological FOS: Physical sciences General Physics and Astronomy Action Potentials Quadratic equation Limit (mathematics) Statistical physics Cumulant Mathematical Physics Physics Neurons Artificial neural network Applied Mathematics Statistical and Nonlinear Physics Disordered Systems and Neural Networks (cond-mat.dis-nn) Condensed Matter - Disordered Systems and Neural Networks Models Computer Distribution (mathematics) Mean field theory Asynchronous communication FOS: Biological sciences Quantitative Biology - Neurons and Cognition Neurological Nerve Net Neural Networks Neurons and Cognition (q-bio.NC) Neural Networks Computer Reduction (mathematics) |
| Zdroj: | Chaos (Woodbury N.Y.) 32 (2022): 023120-1–023120-18. doi:10.1063/5.0075751 info:cnr-pdr/source/autori:di Volo, Matteo; Segneri, Marco; Goldobin, Denis S.; Politi, Antonio; Torcini, Alessandro/titolo:Coherent oscillations in balanced neural networks driven by endogenous fluctuations/doi:10.1063%2F5.0075751/rivista:Chaos (Woodbury N.Y.)/anno:2022/pagina_da:023120-1/pagina_a:023120-18/intervallo_pagine:023120-1–023120-18/volume:32 |
| DOI: | 10.1063/5.0075751 |
| Popis: | We present a detailed analysis of the dynamical regimes observed in a balanced network of identical Quadratic Integrate-and-Fire (QIF) neurons with a sparse connectivity for homogeneous and heterogeneous in-degree distribution. Depending on the parameter values, either an asynchronous regime or periodic oscillations spontaneously emerge. Numerical simulations are compared with a mean field model based on a self-consistent Fokker-Planck equation (FPE). The FPE reproduces quite well the asynchronous dynamics in the homogeneous case by either assuming a Poissonian or renewal distribution for the incoming spike trains. An exact self consistent solution for the mean firing rate obtained in the limit of infinite in-degree allows identifying balanced regimes that can be either mean- or fluctuation-driven. A low-dimensional reduction of the FPE in terms of circular cumulants is also considered. Two cumulants suffice to reproduce the transition scenario observed in the network. The emergence of periodic collective oscillations is well captured both in the homogeneous and heterogeneous set-ups by the mean field models upon tuning either the connectivity, or the input DC current. In the heterogeneous situation we analyze also the role of structural heterogeneity. |
| Databáze: | OpenAIRE |
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