Discrete synaptic events induce global oscillations in balanced neural networks

2023/11/10 by Goldobin, Denis S., di Volo, Matteo, Torcini, Alessandro · 2 citations
#Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Biological sciences #FOS: Physical sciences #Neurons and Cognition (q-bio.NC)

paper · doi:10.48550/arxiv.2311.06159

Abstract

Neural dynamics is triggered by discrete synaptic inputs of finite amplitude. However, the neural response is usually obtained within the diffusion approximation (DA) representing the synaptic inputs as Gaussian noise. We derive a mean-field formalism encompassing synaptic shot-noise for sparse balanced networks of spiking neurons. For low (high) external drives (synaptic strengths) irregular global oscillations emerge via continuous and hysteretic transitions, correctly predicted by our approach, but not from the DA. These oscillations display frequencies in biologically relevant bands.

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• Low dimensional dynamics of a sparse balanced synaptic network of quadratic integrate-and-fire neurons
• Collective oscillations in the finite-size Kuramoto model below the critical coupling: shot-noise approach

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