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Mode locking in a periodically forced "ghostbursting" neuron model

By Carlo Laing and Stephen Coombes

Abstract

We study a minimal integrate-and-fire based model of a "ghostbursting" neuron under periodic stimulation. These neurons are involved in sensory processing in weakly electric fish. There exist regions in parameter space in which the model neuron is mode-locked to the stimulation. We analyse this locked behavior and examine the bifurcations that define the boundaries of these regions. Due to the discontinuous nature of the flow, some of these bifurcations are nonsmooth. This exact analysis is in excellent agreement with numerical simulations, and can be used to understand the response of such a model neuron to biologically realistic input

Year: 2004
OAI identifier: oai:eprints.nottingham.ac.uk:112
Provided by: Nottingham ePrints

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Citations

  1. (2002). A two-variable model of somatic-dendritic interactions in a bursting neuron,” doi
  2. (1991). Cardiac arrhythmias and circle maps – a classical problem,”
  3. (2000). Conditional spike backpropagation generates burst discharge in a sensory neuron,”
  4. (2002). EOD modulations of brown ghost electric fish: JARs, chirps, rises, and dips,” doi
  5. (1988). From Clocks to Chaos
  6. (2002). Ghostbursting”: a novel bursting mechanism in pyramidal cells,”
  7. (1984). Global bifurcations of a periodically forced biological oscillator,”
  8. (1981). Integrate-and-fire models of nerve membrane response to oscillatory input,” doi
  9. (2003). Interspike interval correlations, memory, adaptation, and refractoriness in a leaky integrate-and-fire model with threshold fatigue”,
  10. (1990). Introduction to Applied Nonlinear Dynamical Systems and Chaos, doi
  11. (1999). Liapunov exponents and mode-locked solutions for integrate-and-fire dynamical systems,”
  12. (1999). Mode locking and Arnold tongues in integrate-and-fire neural oscillators,”
  13. (2001). Mode locking in a periodically forced integrate-and-fire-or-burst neuron model,”
  14. (2001). Model of gamma frequency burst discharge generated by conditional backpropagation,”
  15. (2000). Neural excitability, spiking and bursting,” doi
  16. (1991). Numerical analysis and control of bifurcation problems. I: Bifurcation in finite dimensions,”
  17. (2003). Periodic forcing of a model sensory neuron,” doi

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