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GHK eq. and HH eq. for a real system is mathematically associable to each other but their physiological interpretation needs a reconsideration.
Progress in Biophysics and Molecular Biology ( IF 3.2 ) Pub Date : 2020-08-11 , DOI: 10.1016/j.pbiomolbio.2020.07.008
Hirohisa Tamagawa 1 , Titus Mulembo 1 , Vera Maura Fernandes de Lima 2 , Wolfgang Hanke 3
Affiliation  

Despite the long and broad acceptance of the Goldman - Hodgkin - Katz equation (GHK eq.) and the Hodgkin - Huxley equation (HH eq.) as strong tools for the quantitative analysis of the membrane potential behavior, for a long time they have been utilized as separate concepts. That is the GHK eq. and the HH eq. have not been associated with each other mathematically. In this paper, an attempt to associate these equations to each other mathematically was demonstrated and was successful by viewing the system in question as a thermodynamically real system rather than an ideal system. For achieving that, two fundamental physical chemistry concepts, the mass action law, and the Boltzmann distribution were employed. Hence, this paper’s achievement is completely within the framework of common thermodynamics. Through this work, the origin of the membrane potential generation attributed to the ion adsorption-desorption process and governed by the mass action law and the Boltzmann distribution is expressed to be plausible, whereas the existing membrane potential generation mechanism states that membrane potential is generated by transmembrane ion transport. As at this moment, this work does not intend to deny the transmembrane ion transport as a membrane potential generation mechanism but urges the readers to reconsider its validity, since this work suggests that the ion adsorption-desorption mechanism is as plausible as the transmembrane ion transport mechanism as a cause of membrane potential generation.



中文翻译:

GHK eq。和HH eq。因为一个真实的系统在数学上是相互关联的,但是它们的生理学解释需要重新考虑。

尽管长期以来,高盛-霍奇金-卡茨方程(GHK方程)和霍奇金-赫x黎方程(HH方程)被广泛用作膜电位行为定量分析的强大工具,但长期以来它们一直是作为单独的概念使用。那就是GHK方程。和HH eq。尚未在数学上相互关联。在本文中,通过数学方式将这些方程式相互关联的尝试得到了证明,并通过将相关系统视为热力学实际系统而不是理想系统而获得了成功。为了实现这一点,采用了两个基本的物理化学概念,质量作用定律和玻耳兹曼分布。因此,本文的成就完全在普通热力学的框架内。通过这项工作,膜电位产生的起因归因于离子吸附-解吸过程,并受质量作用定律和玻耳兹曼分布的支配,被认为是合理的,而现有的膜电位产生机理表明膜电位是通过跨膜离子传输产生的。截至目前,这项工作并不打算将跨膜离子迁移作为一种膜电势产生机制,而是敦促读者重新考虑其有效性,因为这项工作表明离子吸附-解吸机制与跨膜离子迁移一样合理。膜电位产生的机制。而现有的膜电位产生机理表明膜电位是通过跨膜离子传输产生的。截至目前,这项工作并不打算将跨膜离子迁移作为一种膜电势产生机制,而是敦促读者重新考虑其有效性,因为这项工作表明离子吸附-解吸机制与跨膜离子迁移一样合理。膜电位产生的机制。而现有的膜电位产生机理表明膜电位是通过跨膜离子传输产生的。截至目前,这项工作并不打算将跨膜离子迁移作为一种膜电势产生机制,而是敦促读者重新考虑其有效性,因为这项工作表明离子吸附-解吸机制与跨膜离子迁移一样合理。膜电位产生的机制。

更新日期:2020-08-11
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