Comparative Analysis of Modified Hodgkin–Huxley Models for Neuron Activity

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.

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Publication Details

Journal
Moscow University Mechanics Bulletin
Published
2025-10-01
DOI
https://doi.org/10.3103/s0027133025700347
Primary Topic
stochastic dynamics and bifurcation
Type
article
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article

Comparative Analysis of Modified Hodgkin–Huxley Models for Neuron Activity

Cao Ning, D. I. Bugrov
Moscow University Mechanics Bulletin
stochastic dynamics and bifurcation
article

Comparative Analysis of Modified Hodgkin–Huxley Models for Neuron Activity

Cao Ning, D. I. Bugrov
article en

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.

Moscow University Mechanics BulletinVol. 80(5)
Lomonosov Moscow State University (RU)
Openalex Percentile: Top 26%
stochastic dynamics and bifurcation
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Comparative Analysis of Modified Hodgkin–Huxley Models for Neuron Activity — Cao Ning, D. I. Bugrov · Moscow University Mechanics Bulletin (2025) | TGRS Research Map | TGRS