Switch Elements with S-Shaped Current-Voltage Characteristic in Models of Neural Oscillators
In this paper, we present circuit solutions based on a switch element with the S-type I−V characteristic implemented using the classic FitzHugh−Nagumo and FitzHugh−Rinzel models. Using the proposed simplified electrical circuits allows the modeling of the integrate-and-...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-08-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/8/9/922 |
| _version_ | 1811187685156454400 |
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| author | Petr Boriskov Andrei Velichko |
| author_facet | Petr Boriskov Andrei Velichko |
| author_sort | Petr Boriskov |
| collection | DOAJ |
| description | In this paper, we present circuit solutions based on a switch element with the S-type I−V characteristic implemented using the classic FitzHugh−Nagumo and FitzHugh−Rinzel models. Using the proposed simplified electrical circuits allows the modeling of the integrate-and-fire neuron and burst oscillation modes with the emulation of the mammalian cold receptor patterns. The circuits were studied using the experimental I−V characteristic of an NbO<sub>2</sub> switch with a stable section of negative differential resistance (NDR) and a VO<sub>2</sub> switch with an unstable NDR, considering the temperature dependences of the threshold characteristics. The results are relevant for modern neuroelectronics and have practical significance for the introduction of the neurodynamic models in circuit design and the brain−machine interface. The proposed systems of differential equations with the piecewise linear approximation of the S-type I−V characteristic may be of scientific interest for further analytical and numerical research and development of neural networks with artificial intelligence. |
| first_indexed | 2024-04-11T14:06:35Z |
| format | Article |
| id | doaj.art-0de3d48aa5c343d2921d02c28e159856 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-04-11T14:06:35Z |
| publishDate | 2019-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-0de3d48aa5c343d2921d02c28e1598562022-12-22T04:19:51ZengMDPI AGElectronics2079-92922019-08-018992210.3390/electronics8090922electronics8090922Switch Elements with S-Shaped Current-Voltage Characteristic in Models of Neural OscillatorsPetr Boriskov0Andrei Velichko1Institute of Physics and Technology, Petrozavodsk State University, 31 Lenina str., Petrozavodsk 185910, RussiaInstitute of Physics and Technology, Petrozavodsk State University, 31 Lenina str., Petrozavodsk 185910, RussiaIn this paper, we present circuit solutions based on a switch element with the S-type I−V characteristic implemented using the classic FitzHugh−Nagumo and FitzHugh−Rinzel models. Using the proposed simplified electrical circuits allows the modeling of the integrate-and-fire neuron and burst oscillation modes with the emulation of the mammalian cold receptor patterns. The circuits were studied using the experimental I−V characteristic of an NbO<sub>2</sub> switch with a stable section of negative differential resistance (NDR) and a VO<sub>2</sub> switch with an unstable NDR, considering the temperature dependences of the threshold characteristics. The results are relevant for modern neuroelectronics and have practical significance for the introduction of the neurodynamic models in circuit design and the brain−machine interface. The proposed systems of differential equations with the piecewise linear approximation of the S-type I−V characteristic may be of scientific interest for further analytical and numerical research and development of neural networks with artificial intelligence.https://www.mdpi.com/2079-9292/8/9/922neurocomputingneural interfaceFitzHugh–Nagumo modelFitzHugh–Rinzel modelburstingS-type negative resistanceswitchingvanadium dioxide |
| spellingShingle | Petr Boriskov Andrei Velichko Switch Elements with S-Shaped Current-Voltage Characteristic in Models of Neural Oscillators Electronics neurocomputing neural interface FitzHugh–Nagumo model FitzHugh–Rinzel model bursting S-type negative resistance switching vanadium dioxide |
| title | Switch Elements with S-Shaped Current-Voltage Characteristic in Models of Neural Oscillators |
| title_full | Switch Elements with S-Shaped Current-Voltage Characteristic in Models of Neural Oscillators |
| title_fullStr | Switch Elements with S-Shaped Current-Voltage Characteristic in Models of Neural Oscillators |
| title_full_unstemmed | Switch Elements with S-Shaped Current-Voltage Characteristic in Models of Neural Oscillators |
| title_short | Switch Elements with S-Shaped Current-Voltage Characteristic in Models of Neural Oscillators |
| title_sort | switch elements with s shaped current voltage characteristic in models of neural oscillators |
| topic | neurocomputing neural interface FitzHugh–Nagumo model FitzHugh–Rinzel model bursting S-type negative resistance switching vanadium dioxide |
| url | https://www.mdpi.com/2079-9292/8/9/922 |
| work_keys_str_mv | AT petrboriskov switchelementswithsshapedcurrentvoltagecharacteristicinmodelsofneuraloscillators AT andreivelichko switchelementswithsshapedcurrentvoltagecharacteristicinmodelsofneuraloscillators |