https://doi.org/10.1140/epjs/s11734-025-01608-w
Regular Article
Emergence and regulation of spiral waves in a neuronal network with adaptive synaptic current
1
School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, 010070, Hohhot, China
2
MESA LAB, Department of Mechanical Engineering, University of California, 95343, Merced, CA, USA
Received:
21
January
2025
Accepted:
29
March
2025
Published online:
9
April
2025
Synaptic plasticity, driven by neuronal activity, plays a pivotal role in shaping network dynamics. This study investigates the formation of spiral waves in a network of memristive FitzHugh–Nagumo neurons with adaptive coupling governed by the Hebbian learning rule. Results reveal that the adaptive synaptic current exhibits periodic oscillations, with positive and negative peaks corresponding to the passage of wavefronts. The spatial distribution of synaptic currents closely mirrors the network’s wave patterns. The interplay of adaptive parameters is critical for the emergence and maintenance of spiral waves, influencing wavefront strength, rotor speed, and spiral seed drift. Furthermore, an increased memristor coefficient in the adaptive network amplifies wavefronts, accelerates rotor rotation, and leads to higher voltage peaks and prolonged action potentials. These findings underscore the significance of adaptive synaptic currents in regulating spiral wave behavior and offer valuable insights into their potential applications in controlling wave propagation in neural networks.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
