Dynamics of globally coupled inhibitory neurons with heterogeneity

David Golomb, John Rinzel

Research output: Contribution to journalArticle

Abstract

A model of many heterogeneous excitable neurons with a global slowly decaying inhibitory coupling is studied. When neuronal intrinsic excitability parameters are randomly distributed, the system exhibits four regimes of behavior. In addition to synchronized periodic and asynchronous regimes, we obtain two aperiodic regimes, with bursting rate a staircaselike function of neuron excitability. In one regime, the system is partially synchronized and in the second, partially antisynchronized. The transition between these two regimes is discontinuous as the disorder increases.

Original languageEnglish (US)
Pages (from-to)4810-4814
Number of pages5
JournalPhysical Review E
Volume48
Issue number6
DOIs
StatePublished - 1993

Fingerprint

Excitability
neurons
Neuron
Bursting
Disorder
disorders
Model

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Dynamics of globally coupled inhibitory neurons with heterogeneity. / Golomb, David; Rinzel, John.

In: Physical Review E, Vol. 48, No. 6, 1993, p. 4810-4814.

Research output: Contribution to journalArticle

@article{44a6c3e200344f41a4b2c4e607c41c42,
title = "Dynamics of globally coupled inhibitory neurons with heterogeneity",
abstract = "A model of many heterogeneous excitable neurons with a global slowly decaying inhibitory coupling is studied. When neuronal intrinsic excitability parameters are randomly distributed, the system exhibits four regimes of behavior. In addition to synchronized periodic and asynchronous regimes, we obtain two aperiodic regimes, with bursting rate a staircaselike function of neuron excitability. In one regime, the system is partially synchronized and in the second, partially antisynchronized. The transition between these two regimes is discontinuous as the disorder increases.",
author = "David Golomb and John Rinzel",
year = "1993",
doi = "10.1103/PhysRevE.48.4810",
language = "English (US)",
volume = "48",
pages = "4810--4814",
journal = "Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",
issn = "1063-651X",
publisher = "American Physical Society",
number = "6",

}

TY - JOUR

T1 - Dynamics of globally coupled inhibitory neurons with heterogeneity

AU - Golomb, David

AU - Rinzel, John

PY - 1993

Y1 - 1993

N2 - A model of many heterogeneous excitable neurons with a global slowly decaying inhibitory coupling is studied. When neuronal intrinsic excitability parameters are randomly distributed, the system exhibits four regimes of behavior. In addition to synchronized periodic and asynchronous regimes, we obtain two aperiodic regimes, with bursting rate a staircaselike function of neuron excitability. In one regime, the system is partially synchronized and in the second, partially antisynchronized. The transition between these two regimes is discontinuous as the disorder increases.

AB - A model of many heterogeneous excitable neurons with a global slowly decaying inhibitory coupling is studied. When neuronal intrinsic excitability parameters are randomly distributed, the system exhibits four regimes of behavior. In addition to synchronized periodic and asynchronous regimes, we obtain two aperiodic regimes, with bursting rate a staircaselike function of neuron excitability. In one regime, the system is partially synchronized and in the second, partially antisynchronized. The transition between these two regimes is discontinuous as the disorder increases.

UR - http://www.scopus.com/inward/record.url?scp=0001297707&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001297707&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.48.4810

DO - 10.1103/PhysRevE.48.4810

M3 - Article

AN - SCOPUS:0001297707

VL - 48

SP - 4810

EP - 4814

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 6

ER -