Abstract <p>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.</p>

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Comparative Analysis of Modified Hodgkin–Huxley Models for Neuron Activity

  • D. I. Bugrov,
  • Cao Ning

摘要

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.