Conduction delays can enhance formation of up and down states in spiking neuronal networks

Pavel M. Esir, Susan Yu. Gordleeva, Alexander Yu. Simonov, Alexander N. Pisarchik, and Victor B. Kazantsev

Phys. Rev. E 98, 052401 – Published 1 November 2018

Abstract

We study dynamics of a spiking network of synaptically connected bistable neuronal oscillators. We find that delays in axonal conduction result in the emergence of coexisting states with high and low activity levels (up and down states). In the network, where cellular bistability is present, propagation delays and noise play a crucial role in the emergence of transitions between the states.

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Received 30 October 2017
Revised 17 September 2018

DOI:https://doi.org/10.1103/PhysRevE.98.052401

Physics Subject Headings (PhySH)

Action potential propagation Cell communication Cell signaling Clustering Collective dynamics Coupled oscillators Emergence of patterns Network stability Neural information Neuronal dynamics Neuronal network activity Population dynamics Synapses Synchronization transition

Nonlinear DynamicsNetworksPhysics of Living Systems

Authors & Affiliations

Pavel M. Esir^1,2,*, Susan Yu. Gordleeva², Alexander Yu. Simonov^1,2, Alexander N. Pisarchik³, and Victor B. Kazantsev²

¹Department of Theory of Oscillations and Automatic Control, N. I. Lobachevsky State University of Nizhny Novgorod, 603050 Nizhny Novgorod, Russia
²Department of Neurotechnology, N. I. Lobachevsky State University of Nizhny Novgorod, 603050 Nizhny Novgorod, Russia
³Center for Biomedical Technology, Technical University of Madrid, Madrid, 28223, Spain

^*esir.pavel@gmail.com

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Issue

Vol. 98, Iss. 5 — November 2018

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics