Bifurcation, Bursting, and Spike Frequency Adaptation

  title={Bifurcation, Bursting, and Spike Frequency Adaptation},
  author={John Guckenheimer and Ronald M. Harris-Warrick and Jack Peck and Allan R. Willms},
  journal={Journal of Computational Neuroscience},
Many neural systems display adaptive properties that occur on timescales that are slower than the time scales associated withrepetitive firing of action potentials or bursting oscillations. Spike frequency adaptation is the name givento processes thatreduce the frequency of rhythmic tonic firing of action potentials,sometimes leading to the termination of spiking and the cell becomingquiescent. This article examines these processes mathematically,within the context of singularly perturbed… CONTINUE READING
48 Citations
30 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 48 extracted citations


Publications referenced by this paper.
Showing 1-10 of 30 references

A formal classification of bursting mechanisms in excitable systems

  • J Rinzel
  • ed. Proceedings of the International Congress of…
  • 1987
Highly Influential
7 Excerpts

Oscillatory and bursting properties of neurons

  • Wang X-J, J Rinzel
  • M Arbib, ed. The Handbook of Brain Theory and…
  • 1995

Silnikov - Hopf bifurcations . J . Diff . Eq

  • B Deng, K Sakamoto
  • 1995

Attractors in a Silnikov-Hopf scenario and a related one dimensional map

  • Bull Math
  • Phys . D
  • 1993

Silnikov - Hopf bifurcation

  • P Hirschberg, E Knobloch
  • Phys . D
  • 1993

Silnikov - Hopf bifurcation . Phys

  • P Hirschberg, E Knobloch
  • 1993

Cellular and synaptic properties in the crustacean stomatogastric nervous system

  • D Hartline, K Graubard
  • 1992
1 Excerpt

Ionic Channels of Excitable Membranes. Sinauer

  • B Hille
  • 1992
1 Excerpt

Similar Papers

Loading similar papers…