Transitions between classes of neuronal excitability and bifurcations induced by autapse
Abstract Neuronal excitabilities behave as the basic and important dynamics related to the transitions between firing and resting states, and are characterized by distinct bifurcation types and spiking frequency responses. Switches between class I and II excitabilities induced by modulations outside...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2017-07-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-017-07051-9 |
| _version_ | 1818845706990911488 |
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| author | Zhiguo Zhao Huaguang Gu |
| author_facet | Zhiguo Zhao Huaguang Gu |
| author_sort | Zhiguo Zhao |
| collection | DOAJ |
| description | Abstract Neuronal excitabilities behave as the basic and important dynamics related to the transitions between firing and resting states, and are characterized by distinct bifurcation types and spiking frequency responses. Switches between class I and II excitabilities induced by modulations outside the neuron (for example, modulation to M-type potassium current) have been one of the most concerning issues in both electrophysiology and nonlinear dynamics. In the present paper, we identified switches between 2 classes of excitability and firing frequency responses when an autapse, which widely exists in real nervous systems and plays important roles via self-feedback, is introduced into the Morris-Lecar (ML) model neuron. The transition from class I to class II excitability and from class II to class I spiking frequency responses were respectively induced by the inhibitory and excitatory autapse, which are characterized by changes of bifurcations, frequency responses, steady-state current-potential curves, and nullclines. Furthermore, we identified codimension-1 and -2 bifurcations and the characteristics of the current-potential curve that determine the transitions. Our results presented a comprehensive relationship between 2 classes of neuronal excitability/spiking characterized by different types of bifurcations, along with a novel possible function of autapse or self-feedback control on modulating neuronal excitability. |
| first_indexed | 2024-12-19T05:33:56Z |
| format | Article |
| id | doaj.art-71857a9a4651430981241649a9d146a2 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-19T05:33:56Z |
| publishDate | 2017-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-71857a9a4651430981241649a9d146a22022-12-21T20:34:10ZengNature PortfolioScientific Reports2045-23222017-07-017111510.1038/s41598-017-07051-9Transitions between classes of neuronal excitability and bifurcations induced by autapseZhiguo Zhao0Huaguang Gu1School of Aerospace Engineering and Applied Mechanics, Tongji UniversitySchool of Aerospace Engineering and Applied Mechanics, Tongji UniversityAbstract Neuronal excitabilities behave as the basic and important dynamics related to the transitions between firing and resting states, and are characterized by distinct bifurcation types and spiking frequency responses. Switches between class I and II excitabilities induced by modulations outside the neuron (for example, modulation to M-type potassium current) have been one of the most concerning issues in both electrophysiology and nonlinear dynamics. In the present paper, we identified switches between 2 classes of excitability and firing frequency responses when an autapse, which widely exists in real nervous systems and plays important roles via self-feedback, is introduced into the Morris-Lecar (ML) model neuron. The transition from class I to class II excitability and from class II to class I spiking frequency responses were respectively induced by the inhibitory and excitatory autapse, which are characterized by changes of bifurcations, frequency responses, steady-state current-potential curves, and nullclines. Furthermore, we identified codimension-1 and -2 bifurcations and the characteristics of the current-potential curve that determine the transitions. Our results presented a comprehensive relationship between 2 classes of neuronal excitability/spiking characterized by different types of bifurcations, along with a novel possible function of autapse or self-feedback control on modulating neuronal excitability.https://doi.org/10.1038/s41598-017-07051-9 |
| spellingShingle | Zhiguo Zhao Huaguang Gu Transitions between classes of neuronal excitability and bifurcations induced by autapse Scientific Reports |
| title | Transitions between classes of neuronal excitability and bifurcations induced by autapse |
| title_full | Transitions between classes of neuronal excitability and bifurcations induced by autapse |
| title_fullStr | Transitions between classes of neuronal excitability and bifurcations induced by autapse |
| title_full_unstemmed | Transitions between classes of neuronal excitability and bifurcations induced by autapse |
| title_short | Transitions between classes of neuronal excitability and bifurcations induced by autapse |
| title_sort | transitions between classes of neuronal excitability and bifurcations induced by autapse |
| url | https://doi.org/10.1038/s41598-017-07051-9 |
| work_keys_str_mv | AT zhiguozhao transitionsbetweenclassesofneuronalexcitabilityandbifurcationsinducedbyautapse AT huaguanggu transitionsbetweenclassesofneuronalexcitabilityandbifurcationsinducedbyautapse |