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arXiv · 1903.00998

Spike-Phase Coupling As an Order Parameter in a Leaky Integrate-and-Fire Model

Nahid Safari·Farhad Shahbazi·Mohammad Dehghani-Habibabadi·Moein Esghaei·Marzieh Zare
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Abstract

While criticality is widely observed in neural networks, its underlying neural mechanism is not known well. We consider a network of $N$ excitatory leaky integrated and fire (LIF) neurons that reside on a regular lattice with periodic boundary conditions. The cooperation between neurons, $K$, plays the role of the control parameter that is expected to generate criticality when the critical cooperation strength, $K_c$, is adopted. We show that the coupling between spike timing and the phase of temporal fluctuations of a cooperative activity of the network, i.e. population-averaged voltage (PAV), resorts to identifying an order parameter. By increasing $K$, we find a continuous transition from irregular spiking to a phase-locked state at the critical point, $K_c$. Moreover, we deploy the finite-size scaling analysis to obtain the critical exponents of this transition. We also show that the neuronal avalanches created at this critical point, display a remarkable scaling behavior with the exponents in a fair agreement with the experimental values.

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Nahid Safari, Farhad Shahbazi, Mohammad Dehghani-Habibabadi, Moein Esghaei, Marzieh Zare. 2019-03-03. Spike-Phase Coupling As an Order Parameter in a Leaky Integrate-and-Fire Model. https://doi.org/10.1103/physreve.102.052202

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