Effects of Diffusion Coefficients and Permanent Charge on Reversal Potentials in Ionic Channels
In this work, the dependence of reversal potentials and zero-current fluxes on diffusion coefficients are examined for ionic flows through membrane channels. The study is conducted for the setup of a simple structure defined by the profile of permanent charges with two mobile ion species, one positi...
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| Format: | Article |
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MDPI AG
2020-03-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/3/325 |
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| author | Hamid Mofidi Bob Eisenberg Weishi Liu |
| author_facet | Hamid Mofidi Bob Eisenberg Weishi Liu |
| author_sort | Hamid Mofidi |
| collection | DOAJ |
| description | In this work, the dependence of reversal potentials and zero-current fluxes on diffusion coefficients are examined for ionic flows through membrane channels. The study is conducted for the setup of a simple structure defined by the profile of permanent charges with two mobile ion species, one positively charged (cation) and one negatively charged (anion). Numerical observations are obtained from analytical results established using geometric singular perturbation analysis of classical Poisson−Nernst−Planck models. For 1:1 ionic mixtures with arbitrary diffusion constants, Mofidi and Liu (arXiv:1909.01192) conducted a rigorous mathematical analysis and derived an equation for reversal potentials. We summarize and extend these results with numerical observations for biological relevant situations. The numerical investigations on profiles of the electrochemical potentials, ion concentrations, and electrical potential across ion channels are also presented for the zero-current case. Moreover, the dependence of current and fluxes on voltages and permanent charges is investigated. In the opinion of the authors, many results in the paper are not intuitive, and it is difficult, if not impossible, to reveal all cases without investigations of this type. |
| first_indexed | 2024-04-11T12:08:30Z |
| format | Article |
| id | doaj.art-71fdcd873db04f9fb9892a6c8aded90c |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T12:08:30Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-71fdcd873db04f9fb9892a6c8aded90c2022-12-22T04:24:40ZengMDPI AGEntropy1099-43002020-03-0122332510.3390/e22030325e22030325Effects of Diffusion Coefficients and Permanent Charge on Reversal Potentials in Ionic ChannelsHamid Mofidi0Bob Eisenberg1Weishi Liu2Department of Mathematics, University of Kansas, Lawrence, KS 66045, USADepartment of Physiology and Biophysics, Rush University, Chicago, IL 60612, USADepartment of Mathematics, University of Kansas, Lawrence, KS 66045, USAIn this work, the dependence of reversal potentials and zero-current fluxes on diffusion coefficients are examined for ionic flows through membrane channels. The study is conducted for the setup of a simple structure defined by the profile of permanent charges with two mobile ion species, one positively charged (cation) and one negatively charged (anion). Numerical observations are obtained from analytical results established using geometric singular perturbation analysis of classical Poisson−Nernst−Planck models. For 1:1 ionic mixtures with arbitrary diffusion constants, Mofidi and Liu (arXiv:1909.01192) conducted a rigorous mathematical analysis and derived an equation for reversal potentials. We summarize and extend these results with numerical observations for biological relevant situations. The numerical investigations on profiles of the electrochemical potentials, ion concentrations, and electrical potential across ion channels are also presented for the zero-current case. Moreover, the dependence of current and fluxes on voltages and permanent charges is investigated. In the opinion of the authors, many results in the paper are not intuitive, and it is difficult, if not impossible, to reveal all cases without investigations of this type.https://www.mdpi.com/1099-4300/22/3/325reversal potentialeffects of diffusion coefficientspermanent charge |
| spellingShingle | Hamid Mofidi Bob Eisenberg Weishi Liu Effects of Diffusion Coefficients and Permanent Charge on Reversal Potentials in Ionic Channels Entropy reversal potential effects of diffusion coefficients permanent charge |
| title | Effects of Diffusion Coefficients and Permanent Charge on Reversal Potentials in Ionic Channels |
| title_full | Effects of Diffusion Coefficients and Permanent Charge on Reversal Potentials in Ionic Channels |
| title_fullStr | Effects of Diffusion Coefficients and Permanent Charge on Reversal Potentials in Ionic Channels |
| title_full_unstemmed | Effects of Diffusion Coefficients and Permanent Charge on Reversal Potentials in Ionic Channels |
| title_short | Effects of Diffusion Coefficients and Permanent Charge on Reversal Potentials in Ionic Channels |
| title_sort | effects of diffusion coefficients and permanent charge on reversal potentials in ionic channels |
| topic | reversal potential effects of diffusion coefficients permanent charge |
| url | https://www.mdpi.com/1099-4300/22/3/325 |
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