CUED Publications database

A Balance Equation Determines a Switch in Neuronal Excitability

Franci, A and Drion, G and Seutin, V and Sepulchre, R (2013) A Balance Equation Determines a Switch in Neuronal Excitability. PLoS Computational Biology, 9. ISSN 1553-734X

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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. © 2013 Franci et al.

Item Type: Article
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:14
Last Modified: 09 Sep 2021 01:36
DOI: 10.1371/journal.pcbi.1003040