Seventy years later: the legacy of the Hodgkin and Huxley model in computational neuroscience

Tóth, Katalin; Okun, Michael

doi:10.1113/jp284606

Cited by 2 publications

(1 citation statement)

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“…The HH model forms the basis for studying excitability and is the most important model in all physiological literature. There are many computations and analytic studies performed with HH models to account for the rich properties of nonlinear phenomena in excitable cells [8].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Neuron Models

Wang,

Ding,

Yao

2023

AppliedMath

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Based on the Hodgkin–Huxley theory, this paper establishes several nonlinear system models, analyzes the models’ stability, and studies the conditions for repetitive discharge of neuronal membrane potential. Our dynamic analysis showed that the main channel currents (the fast transient sodium current, the potassium delayed rectifier current, and the fixed leak current) of a neuron determine its dynamic properties and that the GHK formula will greatly widen the stimulation current range of the repetitive discharge condition compared with the Nernst equation. The model including the change in ion concentration will lead to spreading depression (SD)-like depolarization, and the inclusion of a Na-K pump will weaken the current stimulation effect by decreasing the extracellular K accumulation. The results indicate that the Hodgkin–Huxley model is suitable for describing the response to initial stimuli, but due to changes in ion concentration, it is not suitable for describing the response to long-term stimuli.

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Section: Introductionmentioning

confidence: 99%