Metric graph version of the FitzHugh–Nagumo model
https://doi.org/10.17586/2220-8054-2019-10-6-623-626
Abstract
The FitzHugh–Nagumo model on a metric graph is studied. System of delayed differential equations is used to model a pair of FitzHughNagumo excitable systems with time-delayed fast threshold modulation coupling. The model can be used for description of signal transmission in different nanostructures, microsystems or neural networks. The effect of time delay on the impulse transmission is studied.
Keywords
Supporting agencies: This work was partially financially supported by the Government of the Russian Federation (grant 08-08), grant 16-11-10330 of Russian Science Foundation
About the Authors
E. G. Fedorov
ITMO University
Russian Federation
Russian Federation
Kronverkskii, 49, St. Petersburg, 197101
A. I. Popov
ITMO University
Russian Federation
Russian Federation
Kronverkskii, 49, St. Petersburg, 197101
I. Y. Popov
ITMO University
Russian Federation
Russian Federation
Kronverkskii, 49, St. Petersburg, 197101
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Review
For citations:
Fedorov E.G., Popov A.I., Popov I.Y. Metric graph version of the FitzHugh–Nagumo model. Nanosystems: Physics, Chemistry, Mathematics. 2019;10(6):623-626. https://doi.org/10.17586/2220-8054-2019-10-6-623-626
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