Collective irregular dynamics in balanced networks of leaky integrate-and-fire neurons

Antonio Politi; Ekkehard Ullner; Alessandro Torcini

doi:10.1140/epjst/e2018-00079-7

Collective irregular dynamics in balanced networks of leaky integrate-and-fire neurons

Antonio Politi, Ekkehard Ullner^* (Corresponding Author), Alessandro Torcini

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

10 Downloads (Pure)

Abstract

We extensively explore networks of weakly unbalanced, leaky integrate-and-fire (LIF) neurons for different coupling strength, connectivity, and by varying the degree of refractoriness, as well as the delay in the spike transmission. We find that the neural network does not only exhibit a microscopic (single-neuron) stochastic-like evolution, but also a collective irregular dynamics (CID). Our analysis is based on the computation of a suitable order parameter, typically used to characterize synchronization phenomena and on a detailed scaling analysis (i.e. simulations of different network sizes). As a result, we can conclude that CID is a true thermodynamic phase, intrinsically different from the standard asynchronous regime.

Original language	English
Pages (from-to)	1185-1204
Number of pages	20
Journal	The European Physical Journal. Special Topics
Volume	227
Issue number	10-11
Early online date	12 Dec 2018
DOIs	https://doi.org/10.1140/epjst/e2018-00079-7
Publication status	Published - Dec 2018

Bibliographical note

Open access via Springer Compact

The authors acknowledge: N. Brunel, F. Farkhooi, G. Mato, S. Ostoijc, A. Roxin, and M. di Volo for useful discussions. One of us (AT) has been supported by the French government under the Excellence Initiative I-Site Paris Seine (No ANR-16-IDEX-008) and under the Labex MME-DII (No ANR-11-LBX-0023-01). The work has been mainly realized at the Max Planck Institute for the Physics of Complex Systems (Dresden, Germany) during the Advanced Study Group 2016/17 “From Microscopic to Collective Dynamics in Neural Circuits”.

Access to Document

10.1140/epjst/e2018-00079-7Licence: CC BY

Collective irregular dynamics in balanced networks of leaky integrate-and-fire neurons
© The Author(s) 2018 This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Final published version, 2.52 MBLicence: CC BY

Cite this

@article{e8182a10b6c64968aa5e71eea7cc05dc,

title = "Collective irregular dynamics in balanced networks of leaky integrate-and-fire neurons",

abstract = "We extensively explore networks of weakly unbalanced, leaky integrate-and-fire (LIF) neurons for different coupling strength, connectivity, and by varying the degree of refractoriness, as well as the delay in the spike transmission. We find that the neural network does not only exhibit a microscopic (single-neuron) stochastic-like evolution, but also a collective irregular dynamics (CID). Our analysis is based on the computation of a suitable order parameter, typically used to characterize synchronization phenomena and on a detailed scaling analysis (i.e. simulations of different network sizes). As a result, we can conclude that CID is a true thermodynamic phase, intrinsically different from the standard asynchronous regime.",

author = "Antonio Politi and Ekkehard Ullner and Alessandro Torcini",

note = "Open access via Springer Compact The authors acknowledge: N. Brunel, F. Farkhooi, G. Mato, S. Ostoijc, A. Roxin, and M. di Volo for useful discussions. One of us (AT) has been supported by the French government under the Excellence Initiative I-Site Paris Seine (No ANR-16-IDEX-008) and under the Labex MME-DII (No ANR-11-LBX-0023-01). The work has been mainly realized at the Max Planck Institute for the Physics of Complex Systems (Dresden, Germany) during the Advanced Study Group 2016/17 “From Microscopic to Collective Dynamics in Neural Circuits”.",

year = "2018",

month = dec,

doi = "10.1140/epjst/e2018-00079-7",

language = "English",

volume = "227",

pages = "1185--1204",

journal = "The European Physical Journal. Special Topics",

issn = "1951-6355",

publisher = "SPRINGER HEIDELBERG",

number = "10-11",

}

TY - JOUR

T1 - Collective irregular dynamics in balanced networks of leaky integrate-and-fire neurons

AU - Politi, Antonio

AU - Ullner, Ekkehard

AU - Torcini, Alessandro

N1 - Open access via Springer Compact The authors acknowledge: N. Brunel, F. Farkhooi, G. Mato, S. Ostoijc, A. Roxin, and M. di Volo for useful discussions. One of us (AT) has been supported by the French government under the Excellence Initiative I-Site Paris Seine (No ANR-16-IDEX-008) and under the Labex MME-DII (No ANR-11-LBX-0023-01). The work has been mainly realized at the Max Planck Institute for the Physics of Complex Systems (Dresden, Germany) during the Advanced Study Group 2016/17 “From Microscopic to Collective Dynamics in Neural Circuits”.

PY - 2018/12

Y1 - 2018/12

N2 - We extensively explore networks of weakly unbalanced, leaky integrate-and-fire (LIF) neurons for different coupling strength, connectivity, and by varying the degree of refractoriness, as well as the delay in the spike transmission. We find that the neural network does not only exhibit a microscopic (single-neuron) stochastic-like evolution, but also a collective irregular dynamics (CID). Our analysis is based on the computation of a suitable order parameter, typically used to characterize synchronization phenomena and on a detailed scaling analysis (i.e. simulations of different network sizes). As a result, we can conclude that CID is a true thermodynamic phase, intrinsically different from the standard asynchronous regime.

AB - We extensively explore networks of weakly unbalanced, leaky integrate-and-fire (LIF) neurons for different coupling strength, connectivity, and by varying the degree of refractoriness, as well as the delay in the spike transmission. We find that the neural network does not only exhibit a microscopic (single-neuron) stochastic-like evolution, but also a collective irregular dynamics (CID). Our analysis is based on the computation of a suitable order parameter, typically used to characterize synchronization phenomena and on a detailed scaling analysis (i.e. simulations of different network sizes). As a result, we can conclude that CID is a true thermodynamic phase, intrinsically different from the standard asynchronous regime.

U2 - 10.1140/epjst/e2018-00079-7

DO - 10.1140/epjst/e2018-00079-7

M3 - Article

SN - 1951-6355

VL - 227

SP - 1185

EP - 1204

JO - The European Physical Journal. Special Topics

JF - The European Physical Journal. Special Topics

IS - 10-11

ER -

Collective irregular dynamics in balanced networks of leaky integrate-and-fire neurons

Abstract

Bibliographical note

Access to Document

Fingerprint

Cite this