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A Balance Equation Determines a Switch in Neuronal Excitability

Abstract : We use the qualitative insight of a planar neuronal phase portrait to detect an excitability switch in arbitrary conductance based models from a simple mathematical condition. The condition expresses a balance between ion channels that provide a negative feedback at resting potential (restorative channels) and those that provide a positive feedback at resting potential (regenerative channels). Geometrically, the condition imposes a transcritical bifurcation that rules the switch of excitability through the variation of a single physiological parameter. Our analysis of six different published conductance based models always finds the transcritical bifurcation and the associated switch in excitability, which suggests that the mathematical predictions have a physiological relevance and that a same regulatory mechanism is potentially involved in the excitability and signaling of many neurons.
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https://hal.inria.fr/hal-00826259
Contributor : Alessio Franci <>
Submitted on : Monday, May 27, 2013 - 11:26:18 AM
Last modification on : Sunday, October 8, 2017 - 1:06:04 AM
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Alessio Franci, Guillaume Drion, Vincent Seutin, Rodolphe Sepulchre. A Balance Equation Determines a Switch in Neuronal Excitability. PLoS Computational Biology, Public Library of Science, 2013, 9 (5), pp.e1003040. ⟨10.1371/journal.pcbi.1003040⟩. ⟨hal-00826259⟩

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