Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons
Jüttner, Benjamin ; Henriksen, Christian and Martens, Erik A. LU
(2021)
In Chaos
31(2).
- Abstract
We study the macroscopic dynamics of large networks of excitable type 1 neurons composed of two populations interacting with disparate but symmetric intra- and inter-population coupling strengths. This nonuniform coupling scheme facilitates symmetric equilibria, where both populations display identical firing activity, characterized by either quiescent or spiking behavior, or asymmetric equilibria, where the firing activity of one population exhibits quiescent but the other exhibits spiking behavior. Oscillations in the firing rate are possible if neurons emit pulses with non-zero width but are otherwise quenched. Here, we explore how collective oscillations emerge for two statistically identical neuron populations in the limit of an... (More)
We study the macroscopic dynamics of large networks of excitable type 1 neurons composed of two populations interacting with disparate but symmetric intra- and inter-population coupling strengths. This nonuniform coupling scheme facilitates symmetric equilibria, where both populations display identical firing activity, characterized by either quiescent or spiking behavior, or asymmetric equilibria, where the firing activity of one population exhibits quiescent but the other exhibits spiking behavior. Oscillations in the firing rate are possible if neurons emit pulses with non-zero width but are otherwise quenched. Here, we explore how collective oscillations emerge for two statistically identical neuron populations in the limit of an infinite number of neurons. A detailed analysis reveals how collective oscillations are born and destroyed in various bifurcation scenarios and how they are organized around higher codimension bifurcation points. Since both symmetric and asymmetric equilibria display bistable behavior, a large configuration space with steady and oscillatory behavior is available. Switching between configurations of neural activity is relevant in functional processes such as working memory and the onset of collective oscillations in motor control.
(Less)
- author
- Jüttner, Benjamin
; Henriksen, Christian
and Martens, Erik A.
LU
- publishing date
- 2021-02-01
- type
- Contribution to journal
- publication status
- published
- in
- Chaos
- volume
- 31
- issue
- 2
- article number
- 023141
- publisher
- American Institute of Physics (AIP)
- external identifiers
-
- scopus:85101760292
- pmid:33653075
- ISSN
- 1054-1500
- DOI
- 10.1063/5.0031630
- language
- English
- LU publication?
- no
- additional info
- Funding Information: The authors would like to thank C. Bick and B. Pietras for helpful discussions, and A. Torcini and P. So for helpful correspondence. Research conducted by B.J. was partially supported by funding from the EU-COST Technical University of Denmark. Publisher Copyright: © 2021 Author(s). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
- id
- d92da30e-3bed-4570-8e15-876181b2c55d
- date added to LUP
- 2021-03-19 21:18:39
- date last changed
- 2024-04-18 04:06:14
@article{d92da30e-3bed-4570-8e15-876181b2c55d,
abstract = {{<p>We study the macroscopic dynamics of large networks of excitable type 1 neurons composed of two populations interacting with disparate but symmetric intra- and inter-population coupling strengths. This nonuniform coupling scheme facilitates symmetric equilibria, where both populations display identical firing activity, characterized by either quiescent or spiking behavior, or asymmetric equilibria, where the firing activity of one population exhibits quiescent but the other exhibits spiking behavior. Oscillations in the firing rate are possible if neurons emit pulses with non-zero width but are otherwise quenched. Here, we explore how collective oscillations emerge for two statistically identical neuron populations in the limit of an infinite number of neurons. A detailed analysis reveals how collective oscillations are born and destroyed in various bifurcation scenarios and how they are organized around higher codimension bifurcation points. Since both symmetric and asymmetric equilibria display bistable behavior, a large configuration space with steady and oscillatory behavior is available. Switching between configurations of neural activity is relevant in functional processes such as working memory and the onset of collective oscillations in motor control. </p>}},
author = {{Jüttner, Benjamin and Henriksen, Christian and Martens, Erik A.}},
issn = {{1054-1500}},
language = {{eng}},
month = {{02}},
number = {{2}},
publisher = {{American Institute of Physics (AIP)}},
series = {{Chaos}},
title = {{Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons}},
url = {{http://dx.doi.org/10.1063/5.0031630}},
doi = {{10.1063/5.0031630}},
volume = {{31}},
year = {{2021}},
}