ArticlePloS one2012
A novel phase portrait for neuronal excitability.
Article in PloS one, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 16 papers.
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16 citing papers in PubMed.
- A Model-Based Approach to Neuronal Electrical Activity and Spatial Organization Through the Neuronal Actin Cytoskeleton.Methods and protocols · 2025Article
- Robust switches in thalamic network activity require a timescale separation between sodium and T-type calcium channel activations.PLoS computational biology · 2021Article
- The geometry of rest-spike bistability.Journal of mathematical neuroscience · 2020Article
- Different dynamical behaviors induced by slow excitatory feedback for type II and III excitabilities.Scientific reports · 2020Article
- Switchable slow cellular conductances determine robustness and tunability of network states.PLoS computational biology · 2018Article
- Robust and tunable bursting requires slow positive feedback.Journal of neurophysiology · 2018Article
- Dopamine Neurons Change the Type of Excitability in Response to Stimuli.PLoS computational biology · 2016Article
- A positive feedback at the cellular level promotes robustness and modulation at the circuit level.Journal of neurophysiology · 2015Article
- Ion channel degeneracy enables robust and tunable neuronal firing rates.Proceedings of the National Academy of Sciences of the United States of America · 2015Article
- Article
- Biophysical Insights into How Spike Threshold Depends on the Rate of Membrane Potential Depolarization in Type I and Type II Neurons.PloS one · 2015Article
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- Spike generation estimated from stationary spike trains in a variety of neurons in vivo.Frontiers in cellular neuroscience · 2014Article
- A balance equation determines a switch in neuronal excitability.PLoS computational biology · 2013Article
- A novel phase portrait for neuronal excitability.PloS one · 2012Article
- Article
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4 authors.
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Abstract
Fifty years ago, FitzHugh introduced a phase portrait that became famous for a twofold reason: it captured in a physiological way the qualitative behavior of Hodgkin-Huxley model and it revealed the power of simple dynamical models to unfold complex firing patterns. To date, in spite of the enormous progresses in qualitative and quantitative neural modeling, this phase portrait has remained a core picture of neuronal excitability. Yet, a major difference between the neurophysiology of 1961 and of 2011 is the recognition of the prominent role of calcium channels in firing mechanisms. We show that including this extra current in Hodgkin-Huxley dynamics leads to a revision of FitzHugh-Nagumo phase portrait that affects in a fundamental way the reduced modeling of neural excitability. The revisited model considerably enlarges the modeling power of the original one. In particular, it captures essential electrophysiological signatures that otherwise require non-physiological alteration or considerable complexification of the classical model. As a basic illustration, the new model is shown to highlight a core dynamical mechanism by which calcium channels control the two distinct firing modes of thalamocortical neurons.
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