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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025 Number 5, Pages 73–76 (Mi vmumm4724)

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Comparative analysis of modified Hodgkin–Huxley models for neuron activity

D. I. Bugrov, Cao Ning

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A model of the afferent primary neuron in the form of the Hodgkin–Huxley equations modified by Aleksandrov–Soto to third-order model and two simplified second-order models is under consideration. Stationary solutions of these models, periodic solutions, stationary solutions attraction regions and bistability intervals are compared. It is concluded that the simplified model with a functional representation of the inactivation parameter better approximates the full third-order model.

Key words: Hodgkin–Huxley model, neuron model, modified model, bistability interval, attractor.

UDC: 531.396

Received: 18.12.2024

DOI: 10.55959/MSU0579-9368-1-66-5-13


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2025, 80:5, 217–221


© Steklov Math. Inst. of RAS, 2026