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. Preprints2022, 2022040038. https://doi.org/10.20944/preprints202204.0038.v1
Tamagawa, H.; Nakahata, T.; Sugimori, R.; Delalande, B. Thermodynamics and the Goldman-Hodgkin-Katz Equation. Preprints 2022, 2022040038. https://doi.org/10.20944/preprints202204.0038.v1
Tamagawa, H.; Nakahata, T.; Sugimori, R.; Delalande, B. Thermodynamics and the Goldman-Hodgkin-Katz Equation. Preprints2022, 2022040038. https://doi.org/10.20944/preprints202204.0038.v1
APA Style
Tamagawa, H., Nakahata, T., Sugimori, R., & Delalande, B. (2022). Thermodynamics and the Goldman-Hodgkin-Katz Equation. Preprints. https://doi.org/10.20944/preprints202204.0038.v1
Chicago/Turabian Style
Tamagawa, H., Ren Sugimori and Bernard Delalande. 2022 "Thermodynamics and the Goldman-Hodgkin-Katz Equation" Preprints. https://doi.org/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 and Life Sciences, Anatomy and Physiology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
