A threshold equation for action potential initiation.

In central neurons, the threshold for spike initiation can depend on the stimulus and varies between cells and between recording sites in a given cell, but it is unclear what mechanisms underlie this variability. Properties of ionic channels are likely to play a role in threshold modulation. We exam...

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Autores principales: Jonathan Platkiewicz, Romain Brette
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Publicado: Public Library of Science (PLoS) 2010
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Acceso en línea:https://doaj.org/article/e8f8f5ff8b5f4d94bc8bab7f33d8471b
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spelling oai:doaj.org-article:e8f8f5ff8b5f4d94bc8bab7f33d8471b2021-12-02T19:58:17ZA threshold equation for action potential initiation.1553-734X1553-735810.1371/journal.pcbi.1000850https://doaj.org/article/e8f8f5ff8b5f4d94bc8bab7f33d8471b2010-07-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/20628619/pdf/?tool=EBIhttps://doaj.org/toc/1553-734Xhttps://doaj.org/toc/1553-7358In central neurons, the threshold for spike initiation can depend on the stimulus and varies between cells and between recording sites in a given cell, but it is unclear what mechanisms underlie this variability. Properties of ionic channels are likely to play a role in threshold modulation. We examined in models the influence of Na channel activation, inactivation, slow voltage-gated channels and synaptic conductances on spike threshold. We propose a threshold equation which quantifies the contribution of all these mechanisms. It provides an instantaneous time-varying value of the threshold, which applies to neurons with fluctuating inputs. We deduce a differential equation for the threshold, similar to the equations of gating variables in the Hodgkin-Huxley formalism, which describes how the spike threshold varies with the membrane potential, depending on channel properties. We find that spike threshold depends logarithmically on Na channel density, and that Na channel inactivation and K channels can dynamically modulate it in an adaptive way: the threshold increases with membrane potential and after every action potential. Our equation was validated with simulations of a previously published multicompartemental model of spike initiation. Finally, we observed that threshold variability in models depends crucially on the shape of the Na activation function near spike initiation (about -55 mV), while its parameters are adjusted near half-activation voltage (about -30 mV), which might explain why many models exhibit little threshold variability, contrary to experimental observations. We conclude that ionic channels can account for large variations in spike threshold.Jonathan PlatkiewiczRomain BrettePublic Library of Science (PLoS)articleBiology (General)QH301-705.5ENPLoS Computational Biology, Vol 6, Iss 7, p e1000850 (2010)
institution DOAJ
collection DOAJ
language EN
topic Biology (General)
QH301-705.5
spellingShingle Biology (General)
QH301-705.5
Jonathan Platkiewicz
Romain Brette
A threshold equation for action potential initiation.
description In central neurons, the threshold for spike initiation can depend on the stimulus and varies between cells and between recording sites in a given cell, but it is unclear what mechanisms underlie this variability. Properties of ionic channels are likely to play a role in threshold modulation. We examined in models the influence of Na channel activation, inactivation, slow voltage-gated channels and synaptic conductances on spike threshold. We propose a threshold equation which quantifies the contribution of all these mechanisms. It provides an instantaneous time-varying value of the threshold, which applies to neurons with fluctuating inputs. We deduce a differential equation for the threshold, similar to the equations of gating variables in the Hodgkin-Huxley formalism, which describes how the spike threshold varies with the membrane potential, depending on channel properties. We find that spike threshold depends logarithmically on Na channel density, and that Na channel inactivation and K channels can dynamically modulate it in an adaptive way: the threshold increases with membrane potential and after every action potential. Our equation was validated with simulations of a previously published multicompartemental model of spike initiation. Finally, we observed that threshold variability in models depends crucially on the shape of the Na activation function near spike initiation (about -55 mV), while its parameters are adjusted near half-activation voltage (about -30 mV), which might explain why many models exhibit little threshold variability, contrary to experimental observations. We conclude that ionic channels can account for large variations in spike threshold.
format article
author Jonathan Platkiewicz
Romain Brette
author_facet Jonathan Platkiewicz
Romain Brette
author_sort Jonathan Platkiewicz
title A threshold equation for action potential initiation.
title_short A threshold equation for action potential initiation.
title_full A threshold equation for action potential initiation.
title_fullStr A threshold equation for action potential initiation.
title_full_unstemmed A threshold equation for action potential initiation.
title_sort threshold equation for action potential initiation.
publisher Public Library of Science (PLoS)
publishDate 2010
url https://doaj.org/article/e8f8f5ff8b5f4d94bc8bab7f33d8471b
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