ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Egorov N. M., Sysoeva M. V., Ponomarenko V. I., Kornilov M. V., Sysoev I. V. Ring generator of neuron-like activity with tunable frequency. Izvestiya VUZ. Applied Nonlinear Dynamics, 2023, vol. 31, iss. 1, pp. 103-120. DOI: 10.18500/0869-6632-003025, EDN: AXLDTJ

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Language: 
Russian
Heading: 
Nonlinear Dynamics and Neuroscience
Article type: 
Article
UDC: 
621.373.9
DOI: 
10.18500/0869-6632-003025
EDN: 
AXLDTJ

Ring generator of neuron-like activity with tunable frequency

Autors: 
Egorov Nikita Mikhailovich, Yuri Gagarin State Technical University of Saratov
Sysoeva Marina Vyacheslavovna, Saratov State University
Ponomarenko Vladimir Ivanovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Kornilov Maksim Vyacheslavovich, Saratov State University
Sysoev Ilya Vyacheslavovich, Saratov State University
Abstract: 

The aim of the work is to build a radiophysical generator of neuron-like activity with a frequency tunable in various ways, corresponding to modern ideas about the structure of the hippocampus and the generation of pathological epileptic rhythms in it. Methods. The elements of the generator are radio engineering implementations of the complete FitzHugh– Nagumo neuron and the electronic implementation of a chemical synapse in the form of a sigmoid function with a delayed argument. The simulation was carried out in the SPICE simulator. Results. Various ways of introducing delay into the coupling are considered: an ideal delay line, a phase filter with a rheostat, one tunable Bessel filter, and a sequence of non-tunable Bessel filters. For circuit implementation, the approach using a Bessel filter with a rheostat is recognized as optimal as a compromise between simplicity and minimization of signal distortion. The dependences of the oscillation frequency on the number of elements in the ring and the delay time are constructed. The bistability of generation regimes is studied for certain values of the parameters. The effect of inclusion of inhibitory elements (interneurons) in the circuit is considered. Conclusion. The constructed ring generator models the experimentally observed properties of the dynamics of epileptic discharge fundamental frequency in limbic epilepsy. It is able to reproduce the occurrence of oscillations as a result of external short-term driving, smooth and sharp frequency tuning, the coexistence of different modes with the same parameters.

Key words: 
FitzHugh–Nagumo neuron electronic circuit
neural network
time delayed systems
sigmoid coupling
Acknowledgments: 
This study was supported by Russian Science Foundation, grant No. 19-72-10030-P, https://rscf.ru/project/19-72-10030/
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Received: 
12.10.2022
Accepted: 
10.11.2022
Available online: 
16.12.2022
Published: 
31.01.2023
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