The Hodgkin-Huxley model accounts for the action of ion pumps such as Na-K-ATPase
The classic Hodgkin-Huxley model only accounts for specific voltage-gated sodium and potassium currents and does not natively incorporate ion pumps such as the Na-K-ATPase, which must be added externally in extended models.
The original claim states that the Hodgkin-Huxley model accounts for the action of ion pumps like the Na-K-ATPase. Historical literature and biophysical overviews (such as paper [11]) confirm that the classical Hodgkin-Huxley model only models specific passive voltage-gated sodium and potassium currents and does not include active transport mechanisms like the Na-K-ATPase pump. While modern extensions of Hodgkin-Huxley-type models sometimes incorporate pumps to study phenomena like spike-frequency adaptation (papers [5, 10]), the base model itself does not account for them.
Renaud Blaise Jolivet, Pierre J. Magistretti. Spike–frequency adaptation is modulated by interacting currents in an Hodgkin-Huxley-type model: Role of the Na,K–ATPase. 2020. https://doi.org/10.1101/2020.06.12.148437
The study notes that extended Hodgkin-Huxley-type models can incorporate the Na,K-ATPase to study adaptation, confirming it is an addition rather than a feature accounted for by the original model.
See more details
Christof Koch. Beyond Hodgkin and Huxley: Calcium and Calcium-Dependent Potassium Currents. 1998. https://doi.org/10.1093/oso/9780195104912.003.0015
The historical overview explicitly states that the classic Hodgkin-Huxley model equations do not capture—nor were they intended to capture—important phenomena beyond the fast sodium and delayed potassium currents.
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