ArticlePLoS computational biology2013
A balance equation determines a switch in neuronal excitability.
Article in PLoS computational biology, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 20 papers.
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20 citing papers in PubMed, 55 citations in OpenAlex.
- Inward rectifier potassium channels interact with calcium channels to promote robust and physiological bistability.PLoS computational biology · 2026Article
- Slow negative feedback enhances robustness of square-wave bursting.Journal of computational neuroscience · 2023Article
- Robust switches in thalamic network activity require a timescale separation between sodium and T-type calcium channel activations.PLoS computational biology · 2021Article
- Neuronal oscillator robustness to multiple global perturbations.Biophysical journal · 2021Article
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- The geometry of rest-spike bistability.Journal of mathematical neuroscience · 2020Article
- Circuit Stability to Perturbations Reveals Hidden Variability in the Balance of Intrinsic and Synaptic Conductances.The Journal of neuroscience : the official journal of the Society for 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
- Transitions between classes of neuronal excitability and bifurcations induced by autapse.Scientific reports · 2017Article
- 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
- Computational models in the age of large datasets.Current opinion in neurobiology · 2015Review
- Monoaminergic tone supports conductance correlations and stabilizes activity features in pattern generating neurons of the lobster, Panulirus interruptus.Frontiers in neural circuits · 2015Article
- Molecular signaling network motifs provide a mechanistic basis for cellular threshold responses.Environmental health perspectives · 2014Review
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Corrections and comments
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Authors and funding
4 authors at 2 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
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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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.