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Biological Cybernetics

, Volume 63, Issue 1, pp 25–34 | Cite as

Multiple modes of a conditional neural oscillator

  • I. R. Epstein
  • E. Marder
Article

Abstract

We present a model for a conditional bursting neuron consisting of five conductances: Hodgkin-Huxley type time- and voltage-dependent Na+ and K+ conductances, a calcium activated voltage-dependent K+ conductance, a calcium-inhibited time- and voltage-dependent Ca++ conductance, and a leakage Cl( conductance. With an initial set of parameters (versionS), the model shows a hyperpolarized steady-state membrane potential at which the neuron is silent. IncreasinggNa and decreasinggCl, whereg i , is the maximal conductance for speciesi, produces bursts of action potentials (BursterN). Alternatively, an increase ingCa produces a different bursting state (BursterC). The two bursting states differ in the periods and amplitudes of their bursting pacemaker potentials. They show different steady-stateI–V curves under simulated voltage-clamp conditions; in simulations that mimic a steady-stateI–V curve taken under experimental conditions only BursterN shows a negative slope resistance region. ModelC continues to burst in the presence of TTX, while bursting in ModelN is suppressed in TTX. Hybrid models show a smooth transition between the two states.

Keywords

Calcium Membrane Potential Hybrid Model Versus Curve Negative Slope 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • I. R. Epstein
    • 1
  • E. Marder
    • 2
  1. 1.Department of ChemistryBrandeis UniversityWalthamUSA
  2. 2.Department of BiologyBrandeis UniversityWalthamUSA

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