Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Thermodynamics and the Goldman-Hodgkin-Katz Equation

Version 1 : Received: 5 April 2022 / Approved: 6 April 2022 / Online: 6 April 2022 (08:37:53 CEST)

How to cite: Tamagawa, H.; Nakahata, T.; Sugimori, R.; Delalande, B. Thermodynamics and the Goldman-Hodgkin-Katz Equation. Preprints 2022, 2022040038 (doi: 10.20944/preprints202204.0038.v1). Tamagawa, H.; Nakahata, T.; Sugimori, R.; Delalande, B. Thermodynamics and the Goldman-Hodgkin-Katz Equation. Preprints 2022, 2022040038 (doi: 10.20944/preprints202204.0038.v1).

Abstract

Current physiology attributes the mechanism of membrane potential generation to transmembrane ion transport, but ion adsorption could just as well play this fundamental role. The evidence shows that the ion adsorption mechanism accurately reproduces the experimentally measured membrane potential. The Goldman-Hodgkin-Katz equation (GHK eq.) and the Nernst equation (Nernst eq.) are the typical mathematical formulas representing the membrane potential in current physiology. However, the authors were able to show that the potential formulas by ion adsorption mechanism give identical results to GHK eq. and Nernst. eq. Our experimental and theoretical analyses suggest that there is a special relationship between the membrane potential and the membrane surface charge density, and this unique equation inevitably leads to the establishment of a GHK eq and/or a Nernst eq. The authors found that the unique equation is the foundation of thermodynamics “Boltzmann distribution”. Thus, the GHK eq. and the Nernst eq. are simply the natural consequence of thermodynamics from the view of the ion adsorption mechanism.

Keywords

Goldman-Hodgkin-Katz eq.; Nernst eq.; ion adsorption; membrane potential

Subject

BIOLOGY, Physiology

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.