Roles Played by Critical Potentials in the Study of Poisson–Nernst–Planck Models with Steric Effects Under Relaxed Neutral Boundary Conditions
We examine the qualitative properties of ionic flows through membrane channels via Poisson–Nernst–Planck (PNP) type models with steric effects under relaxed electroneutrality boundary conditions, and more realistic setups in the study of ion channel problems. Of particular interest are the vital rol...
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2025-01-01
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| author | Xiangshuo Liu Jie Song Lijun Zhang Mingji Zhang |
| author_facet | Xiangshuo Liu Jie Song Lijun Zhang Mingji Zhang |
| author_sort | Xiangshuo Liu |
| collection | DOAJ |
| description | We examine the qualitative properties of ionic flows through membrane channels via Poisson–Nernst–Planck (PNP) type models with steric effects under relaxed electroneutrality boundary conditions, and more realistic setups in the study of ion channel problems. Of particular interest are the vital roles played by some critical potentials identified for both individual fluxes and current–voltage relations. These critical potentials split the whole electric potential interval into different subintervals, over which distinct dynamics of ionic flows are observed. The discussion provides an efficient way to control the boundary conditions to observe distinct dynamics of ionic flows through membrane channels. This is important for future analytical studies and critical for future numerical and even experimental studies of ion channel problems. |
| format | Article |
| id | doaj-art-d64aa2d5901643cc8e864f91850d91d1 |
| institution | Kabale University |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
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| series | Axioms |
| spelling | doaj-art-d64aa2d5901643cc8e864f91850d91d12025-01-24T13:22:19ZengMDPI AGAxioms2075-16802025-01-011416910.3390/axioms14010069Roles Played by Critical Potentials in the Study of Poisson–Nernst–Planck Models with Steric Effects Under Relaxed Neutral Boundary ConditionsXiangshuo Liu0Jie Song1Lijun Zhang2Mingji Zhang3College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266510, ChinaSchool of Mathematics and Statistics, Linyi University, Linyi 276000, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266510, ChinaDepartment of Mathematics, New Mexico Institute of Mining and Technology, Socorro, NM 87801, USAWe examine the qualitative properties of ionic flows through membrane channels via Poisson–Nernst–Planck (PNP) type models with steric effects under relaxed electroneutrality boundary conditions, and more realistic setups in the study of ion channel problems. Of particular interest are the vital roles played by some critical potentials identified for both individual fluxes and current–voltage relations. These critical potentials split the whole electric potential interval into different subintervals, over which distinct dynamics of ionic flows are observed. The discussion provides an efficient way to control the boundary conditions to observe distinct dynamics of ionic flows through membrane channels. This is important for future analytical studies and critical for future numerical and even experimental studies of ion channel problems.https://www.mdpi.com/2075-1680/14/1/69PNPionic flowsI–V relationsperturbationsboundary layers |
| spellingShingle | Xiangshuo Liu Jie Song Lijun Zhang Mingji Zhang Roles Played by Critical Potentials in the Study of Poisson–Nernst–Planck Models with Steric Effects Under Relaxed Neutral Boundary Conditions Axioms PNP ionic flows I–V relations perturbations boundary layers |
| title | Roles Played by Critical Potentials in the Study of Poisson–Nernst–Planck Models with Steric Effects Under Relaxed Neutral Boundary Conditions |
| title_full | Roles Played by Critical Potentials in the Study of Poisson–Nernst–Planck Models with Steric Effects Under Relaxed Neutral Boundary Conditions |
| title_fullStr | Roles Played by Critical Potentials in the Study of Poisson–Nernst–Planck Models with Steric Effects Under Relaxed Neutral Boundary Conditions |
| title_full_unstemmed | Roles Played by Critical Potentials in the Study of Poisson–Nernst–Planck Models with Steric Effects Under Relaxed Neutral Boundary Conditions |
| title_short | Roles Played by Critical Potentials in the Study of Poisson–Nernst–Planck Models with Steric Effects Under Relaxed Neutral Boundary Conditions |
| title_sort | roles played by critical potentials in the study of poisson nernst planck models with steric effects under relaxed neutral boundary conditions |
| topic | PNP ionic flows I–V relations perturbations boundary layers |
| url | https://www.mdpi.com/2075-1680/14/1/69 |
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