Journal article
Traveling waves in a one-dimensional integrate-and-fire neural network with finite support connectivity
Neurocomputing (Amsterdam), Vol.52, pp.869-875
2003
DOI: 10.1016/S0925-2312(02)00818-4
Abstract
We study the existence of traveling waves in a one-dimensional network of integrate-and-fire neurons with finite support coupling. We show that when the reset after spiking is sufficiently low, the interspike intervals (ISIs) for a traveling wave with an explicit first wave front can be computed. Further, we analytically derive a self-consistency equation that generates an explicit dispersion relation between the velocity of periodic traveling waves and their corresponding ISIs. Finally, we prove that the ISIs of non-periodic traveling waves converge to the ISI of the periodic waves with the same speed.
Details
- Title: Subtitle
- Traveling waves in a one-dimensional integrate-and-fire neural network with finite support connectivity
- Creators
- Remus OsanJonathan RubinRodica CurtuBard Ermentrout
- Resource Type
- Journal article
- Publication Details
- Neurocomputing (Amsterdam), Vol.52, pp.869-875
- Publisher
- Elsevier B.V
- DOI
- 10.1016/S0925-2312(02)00818-4
- ISSN
- 0925-2312
- eISSN
- 1872-8286
- Language
- English
- Date published
- 2003
- Academic Unit
- Mathematics; Iowa Neuroscience Institute
- Record Identifier
- 9984070215802771
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