Volume 57, Issue 1
Flux Ratios for Effects of Permanent Charges on Ionic Flows with Three Ion Species: Case Study (II)

Ning Sun & Weishi Liu

J. Math. Study, 57 (2024), pp. 1-23.

Published online: 2024-03

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  • Abstract

In this paper, we study effects of permanent charges on ion flows through membrane channels via a quasi-one-dimensional classical Poisson-Nernst-Planck system. This system includes three ion species, two cations with different valences and one anion, and permanent charges with a simple structure, zeros at the two end regions and a constant over the middle region. For small permanent charges, our main goal is to analyze the effects of permanent charges on ionic flows, interacting with the boundary conditions and channel structure. Continuing from a previous work, we investigate the problem for a new case toward a more comprehensive understanding about effects of permanent charges on ionic fluxes.

  • AMS Subject Headings

34A26, 34B16, 92C35

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COPYRIGHT: © Global Science Press

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@Article{JMS-57-1, author = {Sun , Ning and Liu , Weishi}, title = {Flux Ratios for Effects of Permanent Charges on Ionic Flows with Three Ion Species: Case Study (II)}, journal = {Journal of Mathematical Study}, year = {2024}, volume = {57}, number = {1}, pages = {1--23}, abstract = {

In this paper, we study effects of permanent charges on ion flows through membrane channels via a quasi-one-dimensional classical Poisson-Nernst-Planck system. This system includes three ion species, two cations with different valences and one anion, and permanent charges with a simple structure, zeros at the two end regions and a constant over the middle region. For small permanent charges, our main goal is to analyze the effects of permanent charges on ionic flows, interacting with the boundary conditions and channel structure. Continuing from a previous work, we investigate the problem for a new case toward a more comprehensive understanding about effects of permanent charges on ionic fluxes.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v57n1.24.01}, url = {http://global-sci.org/intro/article_detail/jms/22985.html} }
TY - JOUR T1 - Flux Ratios for Effects of Permanent Charges on Ionic Flows with Three Ion Species: Case Study (II) AU - Sun , Ning AU - Liu , Weishi JO - Journal of Mathematical Study VL - 1 SP - 1 EP - 23 PY - 2024 DA - 2024/03 SN - 57 DO - http://doi.org/10.4208/jms.v57n1.24.01 UR - https://global-sci.org/intro/article_detail/jms/22985.html KW - Ionic flows, permanent charges, flux ratios. AB -

In this paper, we study effects of permanent charges on ion flows through membrane channels via a quasi-one-dimensional classical Poisson-Nernst-Planck system. This system includes three ion species, two cations with different valences and one anion, and permanent charges with a simple structure, zeros at the two end regions and a constant over the middle region. For small permanent charges, our main goal is to analyze the effects of permanent charges on ionic flows, interacting with the boundary conditions and channel structure. Continuing from a previous work, we investigate the problem for a new case toward a more comprehensive understanding about effects of permanent charges on ionic fluxes.

Sun , Ning and Liu , Weishi. (2024). Flux Ratios for Effects of Permanent Charges on Ionic Flows with Three Ion Species: Case Study (II). Journal of Mathematical Study. 57 (1). 1-23. doi:10.4208/jms.v57n1.24.01
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