ML Anthology

Dynamics of Spiking Neurons with Electrical Coupling

Carson C. Chow, Nancy Kopell
NeCo 2000 pp. 1643-1678
doi:10.1162/089976600300015295 /neco/2000/chow2000neco-dynamics/

Abstract

We analyze the existence and stability of phase-locked states of neurons coupled electrically with gap junctions. We show that spike shape and size, along with driving current (which affects network frequency), play a large role in which phase-locked modes exist and are stable. Our theory makes predictions about biophysical models using spikes of different shapes, and we present simulations to confirm the predictions. We also analyze a large system of all-to-all coupled neurons and show that the splay-phase state can exist only for a certain range of frequencies.

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Text

Chow and Kopell. "Dynamics of Spiking Neurons with Electrical Coupling." Neural Computation, 2000. doi:10.1162/089976600300015295

Markdown

[Chow and Kopell. "Dynamics of Spiking Neurons with Electrical Coupling." Neural Computation, 2000.](https://mlanthology.org/neco/2000/chow2000neco-dynamics/) doi:10.1162/089976600300015295

BibTeX

@article{chow2000neco-dynamics,
  title     = {{Dynamics of Spiking Neurons with Electrical Coupling}},
  author    = {Chow, Carson C. and Kopell, Nancy},
  journal   = {Neural Computation},
  year      = {2000},
  pages     = {1643-1678},
  doi       = {10.1162/089976600300015295},
  volume    = {12},
  url       = {https://mlanthology.org/neco/2000/chow2000neco-dynamics/}
}