Complex Dynamics of FitzHugh-Nagumo Type Neurons Coupled with Gap Junction under External Voltage Stimulation
In the present paper, we have studied the complex dynamics of a system of two nonlinear neuronal cells, coupled by a gap junction, which is modelled as a linear variable resistor. The two coupled cells are oscillators of the FitzHughNagumo type. The first cell, the “ImK-cell” is a voltage driven c...
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| Format: | Article |
| Language: | English |
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Eastern Macedonia and Thrace Institute of Technology
2013-09-01
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| Series: | Journal of Engineering Science and Technology Review |
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| Online Access: | http://www.jestr.org/downloads/Volume6Issue4/fulltext12642013.pdf |
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| author | I. M. Kyprianidis A. T. Makri |
| author_facet | I. M. Kyprianidis A. T. Makri |
| author_sort | I. M. Kyprianidis |
| collection | DOAJ |
| description | In the present paper, we have studied the complex dynamics of a system of two nonlinear neuronal cells, coupled by a
gap junction, which is modelled as a linear variable resistor. The two coupled cells are oscillators of the FitzHughNagumo
type. The first cell, the “ImK-cell” is a voltage driven cell, while the second, the “RaLa-cell” is a current driven
cell. We have examined the dynamics of the coupled system in the case of bidirectional coupling. An independent
voltage source gives the external stimulation. We have examined three different cases (AC, DC, AC plus DC) of the
external signal. In each case we have different dynamics. Action potentials, chaotic and periodic oscillations are
observed. |
| first_indexed | 2024-04-14T01:50:37Z |
| format | Article |
| id | doaj.art-41fa16d528044381a1c9b474f4580944 |
| institution | Directory Open Access Journal |
| issn | 1791-2377 1791-2377 |
| language | English |
| last_indexed | 2024-04-14T01:50:37Z |
| publishDate | 2013-09-01 |
| publisher | Eastern Macedonia and Thrace Institute of Technology |
| record_format | Article |
| series | Journal of Engineering Science and Technology Review |
| spelling | doaj.art-41fa16d528044381a1c9b474f45809442022-12-22T02:19:22ZengEastern Macedonia and Thrace Institute of TechnologyJournal of Engineering Science and Technology Review1791-23771791-23772013-09-0164104114Complex Dynamics of FitzHugh-Nagumo Type Neurons Coupled with Gap Junction under External Voltage StimulationI. M. Kyprianidis0A. T. Makri1Departmentt. of Physics, Aristotle University of Thessaloniki, GR - 54124, GREECEDepartmentt. of Physics, Aristotle University of Thessaloniki, GR - 54124, GREECEIn the present paper, we have studied the complex dynamics of a system of two nonlinear neuronal cells, coupled by a gap junction, which is modelled as a linear variable resistor. The two coupled cells are oscillators of the FitzHughNagumo type. The first cell, the “ImK-cell” is a voltage driven cell, while the second, the “RaLa-cell” is a current driven cell. We have examined the dynamics of the coupled system in the case of bidirectional coupling. An independent voltage source gives the external stimulation. We have examined three different cases (AC, DC, AC plus DC) of the external signal. In each case we have different dynamics. Action potentials, chaotic and periodic oscillations are observed.http://www.jestr.org/downloads/Volume6Issue4/fulltext12642013.pdfNonlinear oscillatorsFitzHugh-Nagumoneuronal cellsgap junctionaction potentialchaosbidirectional coupling |
| spellingShingle | I. M. Kyprianidis A. T. Makri Complex Dynamics of FitzHugh-Nagumo Type Neurons Coupled with Gap Junction under External Voltage Stimulation Journal of Engineering Science and Technology Review Nonlinear oscillators FitzHugh-Nagumo neuronal cells gap junction action potential chaos bidirectional coupling |
| title | Complex Dynamics of FitzHugh-Nagumo Type Neurons Coupled with Gap Junction under External Voltage Stimulation |
| title_full | Complex Dynamics of FitzHugh-Nagumo Type Neurons Coupled with Gap Junction under External Voltage Stimulation |
| title_fullStr | Complex Dynamics of FitzHugh-Nagumo Type Neurons Coupled with Gap Junction under External Voltage Stimulation |
| title_full_unstemmed | Complex Dynamics of FitzHugh-Nagumo Type Neurons Coupled with Gap Junction under External Voltage Stimulation |
| title_short | Complex Dynamics of FitzHugh-Nagumo Type Neurons Coupled with Gap Junction under External Voltage Stimulation |
| title_sort | complex dynamics of fitzhugh nagumo type neurons coupled with gap junction under external voltage stimulation |
| topic | Nonlinear oscillators FitzHugh-Nagumo neuronal cells gap junction action potential chaos bidirectional coupling |
| url | http://www.jestr.org/downloads/Volume6Issue4/fulltext12642013.pdf |
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