Noise-induced synchronization in a lattice Hodgkin–Huxley neural network

James Christopher S. Pang, Christopher P. Monterola and Johnrob Y. Bantang

Physica A: Statistical Mechanics and its Applications, 2014, vol. 393, issue C, 638-645

Abstract: We examine how the synchronization of the series of action potentials (APs) of realistic neurons interconnected in a lattice is influenced by variations of both the direction and magnitude of neuron–neuron connectivity in a noisy environment. We first demonstrate the existence of an optimal noise level that brings about the highest average number of APs per unit time, for a single Hodgkin–Huxley neuron. We then show that synchronization, as a collective response of interconnected neurons forming an N×N lattice, is optimal at different noise strengths σc=σc(p), depending on the degree of random-link malfunction parameterized by flipping direction probability p. Thus, even without the scale-free structure of neuronal networks, proper combinations of both randomness in reconnection (flipping) and noisy environment can be beneficial to the collective functioning of neurons.

Keywords: Hodgkin–Huxley neurons; Network; Noise; Synchronization (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:393:y:2014:i:c:p:638-645

DOI: 10.1016/j.physa.2013.08.069

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