On Embedding Synfire Chains in a Balanced Network
Abstract
We investigate the formation of synfire waves in a balanced network of integrate-and-fire neurons. The synaptic connectivity of this network embodies synfire chains within a sparse random connectivity. This network can exhibit global oscillations but can also operate in an asynchronous activity mode. We analyze the correlations of two neurons in a pool as convenient indicators for the state of the network. We find, using different models, that these indicators depend on a scaling variable. Beyond a critical point, strong correlations and large network oscillations are obtained. We looked for the conditions under which a synfire wave could be propagated on top of an otherwise asynchronous state of the network. This condition was found to be highly restrictive, requiring a large number of neurons for its implementation in our network. The results are based on analytic derivations and simulations.
Cite
Text
Aviel et al. "On Embedding Synfire Chains in a Balanced Network." Neural Computation, 2003. doi:10.1162/089976603321780290Markdown
[Aviel et al. "On Embedding Synfire Chains in a Balanced Network." Neural Computation, 2003.](https://mlanthology.org/neco/2003/aviel2003neco-embedding/) doi:10.1162/089976603321780290BibTeX
@article{aviel2003neco-embedding,
title = {{On Embedding Synfire Chains in a Balanced Network}},
author = {Aviel, Yuval and Mehring, Carsten and Abeles, Moshe and Horn, David},
journal = {Neural Computation},
year = {2003},
pages = {1321-1340},
doi = {10.1162/089976603321780290},
volume = {15},
url = {https://mlanthology.org/neco/2003/aviel2003neco-embedding/}
}