The DOI matches its Crossref record; 43 of the 43 references it cites were found in a registry or an index.
Fast Global Oscillations in Networks of Integrate-and-Fire Neurons with Low Firing Rates
Open accessAbstract
We study analytically the dynamics of a network of sparsely connected inhibitory integrate-and-fire neurons in a regime where individual neurons emit spikes irregularly and at a low rate. In the limit when the number of neurons N → ∞, the network exhibits a sharp transition between a stationary and an oscillatory global activity regime where neurons are weakly synchronized. The activity becomes oscillatory when the inhibitory feedback is strong enough. The period of the global oscillation is found to be mainly controlled by synaptic times but depends also on the characteristics of the external input. In large but finite networks, the analysis shows that global oscillations of finite coherence time generically exist both above and below the critical inhibition threshold. Their characteristics are determined as functions of systems parameters in these two different regimes. The results are found to be in good agreement with numerical simulations.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Stochastic Problems in Physics and Astronomy
Chandrasekhar, S. (1943) · Reviews of Modern Physics · doi:10.1103/revmodphys.15.1 · Cited by 8,470
Handbook of Stochastic Methods
Gardiner, C. W. (1983) · Springer Series in Synergetics · doi:10.1007/978-3-662-02377-8 · Cited by 5,961
Advanced Mathematical Methods for Scientists and Engineers I
Bender, C. M., & Orszag, S. A. (1999) · doi:10.1007/978-1-4757-3069-2 · Cited by 4,906
Gray, C. M., König, P., Engel, A. K., & Singer, W. (1989) · Nature · doi:10.1038/338334a0 · Cited by 4,183
Visual Feature Integration and the Temporal Correlation Hypothesis
Singer, W., & Gray, C. M. (1995) · Annual Review of Neuroscience · doi:10.1146/annurev.ne.18.030195.003011 · Cited by 3,123
Differential Equations, Dynamical Systems, and Linear Algebra
(1974) · Pure and Applied Mathematics · doi:10.1016/s0079-8169(08)x6044-1 · Cited by 3,091
Synchronization of Pulse-Coupled Biological Oscillators
Mirollo, R. E., & Strogatz, S. H. (1990) · SIAM Journal on Applied Mathematics · doi:10.1137/0150098 · Cited by 2,074
Chaos in Neuronal Networks with Balanced Excitatory and Inhibitory Activity
van Vreeswijk, C., & Sompolinsky, H. (1996) · Science · doi:10.1126/science.274.5293.1724 · Cited by 1,811
Whittington, M. A., Traub, R. D., & Jefferys, J. G. R. (1995) · Nature · doi:10.1038/373612a0 · Cited by 1,613
Gamma Oscillation by Synaptic Inhibition in a Hippocampal Interneuronal Network Model
Wang, X.-J., & Buzsáki, G. (1996) · The Journal of Neuroscience · doi:10.1523/jneurosci.16-20-06402.1996 · Cited by 1,563
Cited by
Mechanisms of Gamma Oscillations
Buzsáki, G., & Wang, X.-J. (2012) · Annual Review of Neuroscience · doi:10.1146/annurev-neuro-062111-150444 · Cited by 2,796
Synaptic mechanisms of synchronized gamma oscillations in inhibitory interneuron networks
Bartos, M., Vida, I., & Jonas, P. (2007) · Nature Reviews Neuroscience · doi:10.1038/nrn2044 · Cited by 2,070
Hippocampal sharp wave-ripple: A cognitive biomarker for episodic memory and planning
Buzsáki, G. (2015) · Hippocampus · doi:10.1002/hipo.22488 · Cited by 1,759
Neurophysiological and Computational Principles of Cortical Rhythms in Cognition
Wang, X.-J. (2010) · Physiological Reviews · doi:10.1152/physrev.00035.2008 · Cited by 1,939
Correlated neuronal activity and the flow of neural information
Salinas, E., & Sejnowski, T. J. (2001) · Nature Reviews Neuroscience · doi:10.1038/35086012 · Cited by 1,333
Metadata
- Authors
- Brunel, N., & Hakim, V.
- Venue
- Neural Computation
- Publisher
- MIT Press - Journals
- Published
- 1999-10-01
- Volume
- 11
- Issue
- 7
- Pages
- 1621-1671
- ISSN
- 0899-7667 (ISSN-L)
- 1530-888X
- OpenAlex
- W2158424806
- Cited by
- 894
- References
- 43
- FWCI
- 7.13
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Fast Global Oscillations in Networks of Integrate-and-Fire Neurons with Low Firing Rates. https://app.cochat.ai/papers/10.1162/089976699300016179
- The paper
- Brunel, N., & Hakim, V. (1999). Fast Global Oscillations in Networks of Integrate-and-Fire Neurons with Low Firing Rates. Neural Computation. https://doi.org/10.1162/089976699300016179
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
