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Spike-Threshold Variability Originated from Separatrix-Crossing in Neuronal Dynamics
The threshold voltage for action potential generation is a key regulator of neuronal signal processing, yet the mechanism of its dynamic variation is still not well described. In this paper, we propose that threshold phenomena can be classified as parameter thresholds and state thresholds. Voltage t...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2016
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4992847/ https://www.ncbi.nlm.nih.gov/pubmed/27546614 http://dx.doi.org/10.1038/srep31719 |
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author | Wang, Longfei Wang, Hengtong Yu, Lianchun Chen, Yong |
author_facet | Wang, Longfei Wang, Hengtong Yu, Lianchun Chen, Yong |
author_sort | Wang, Longfei |
collection | PubMed |
description | The threshold voltage for action potential generation is a key regulator of neuronal signal processing, yet the mechanism of its dynamic variation is still not well described. In this paper, we propose that threshold phenomena can be classified as parameter thresholds and state thresholds. Voltage thresholds which belong to the state threshold are determined by the ‘general separatrix’ in state space. We demonstrate that the separatrix generally exists in the state space of neuron models. The general form of separatrix was assumed as the function of both states and stimuli and the previously assumed threshold evolving equation versus time is naturally deduced from the separatrix. In terms of neuronal dynamics, the threshold voltage variation, which is affected by different stimuli, is determined by crossing the separatrix at different points in state space. We suggest that the separatrix-crossing mechanism in state space is the intrinsic dynamic mechanism for threshold voltages and post-stimulus threshold phenomena. These proposals are also systematically verified in example models, three of which have analytic separatrices and one is the classic Hodgkin-Huxley model. The separatrix-crossing framework provides an overview of the neuronal threshold and will facilitate understanding of the nature of threshold variability. |
format | Online Article Text |
id | pubmed-4992847 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-49928472016-08-30 Spike-Threshold Variability Originated from Separatrix-Crossing in Neuronal Dynamics Wang, Longfei Wang, Hengtong Yu, Lianchun Chen, Yong Sci Rep Article The threshold voltage for action potential generation is a key regulator of neuronal signal processing, yet the mechanism of its dynamic variation is still not well described. In this paper, we propose that threshold phenomena can be classified as parameter thresholds and state thresholds. Voltage thresholds which belong to the state threshold are determined by the ‘general separatrix’ in state space. We demonstrate that the separatrix generally exists in the state space of neuron models. The general form of separatrix was assumed as the function of both states and stimuli and the previously assumed threshold evolving equation versus time is naturally deduced from the separatrix. In terms of neuronal dynamics, the threshold voltage variation, which is affected by different stimuli, is determined by crossing the separatrix at different points in state space. We suggest that the separatrix-crossing mechanism in state space is the intrinsic dynamic mechanism for threshold voltages and post-stimulus threshold phenomena. These proposals are also systematically verified in example models, three of which have analytic separatrices and one is the classic Hodgkin-Huxley model. The separatrix-crossing framework provides an overview of the neuronal threshold and will facilitate understanding of the nature of threshold variability. Nature Publishing Group 2016-08-22 /pmc/articles/PMC4992847/ /pubmed/27546614 http://dx.doi.org/10.1038/srep31719 Text en Copyright © 2016, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
spellingShingle | Article Wang, Longfei Wang, Hengtong Yu, Lianchun Chen, Yong Spike-Threshold Variability Originated from Separatrix-Crossing in Neuronal Dynamics |
title | Spike-Threshold Variability Originated from Separatrix-Crossing in Neuronal Dynamics |
title_full | Spike-Threshold Variability Originated from Separatrix-Crossing in Neuronal Dynamics |
title_fullStr | Spike-Threshold Variability Originated from Separatrix-Crossing in Neuronal Dynamics |
title_full_unstemmed | Spike-Threshold Variability Originated from Separatrix-Crossing in Neuronal Dynamics |
title_short | Spike-Threshold Variability Originated from Separatrix-Crossing in Neuronal Dynamics |
title_sort | spike-threshold variability originated from separatrix-crossing in neuronal dynamics |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4992847/ https://www.ncbi.nlm.nih.gov/pubmed/27546614 http://dx.doi.org/10.1038/srep31719 |
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