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Bursting excitable cell models by a slow Ca2+ current.

T R Chay1

  • 1Department of Biological Sciences, University of Pittsburgh, PA 15260.

Journal of Theoretical Biology
|February 9, 1990
PubMed
Summary
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This study presents two computational models of bursting in excitable cells. A slowly inactivating calcium channel is key to bursting, while a fast sodium current can lead to complex neuronal dynamics.

Area of Science:

  • Computational neuroscience
  • Electrophysiology
  • Non-linear dynamics

Background:

  • Bursting in excitable cells is a complex phenomenon of significant interest.
  • Understanding the mechanisms underlying bursting is crucial for electrophysiology and non-linear dynamics.

Purpose of the Study:

  • To present and analyze two computational models that exhibit bursting in action potentials.
  • To investigate the role of specific ion channel dynamics in generating bursting patterns.

Main Methods:

  • Developed a three-variable model incorporating a slowly inactivating voltage-activated Ca2+ channel and a delayed K+ channel.
  • Developed a five-variable model including a fast inactivating voltage-activated Na+ channel, alongside components of the first model.
  • Analyzed the dynamic behaviors and bursting patterns arising from these models.

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Main Results:

  • The first model demonstrated that a slowly inactivating Ca2+ channel is critical for generating various bursting patterns.
  • The second model showed that a fast inward current, coupled with gating dynamics, can produce neuronal bursting, multi-peaked oscillations, and chaos.
  • Model simulations revealed diverse bursting behaviors based on the inclusion and inactivation rates of specific ion channels.

Conclusions:

  • Slow inactivation of voltage-dependent Ca2+ channels plays a pivotal role in the genesis of bursting.
  • The inclusion of fast inactivating inward currents can lead to complex neuronal dynamics, including chaos.
  • These models provide insights into the mechanisms underlying bursting and complex electrical activity in excitable cells.