Finite ion size effects on I-V relations via Poisson-Nernst-Planck systems with two cations: A case study.
Math Biosci Eng
; 21(2): 1899-1916, 2024 Jan 05.
Article
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| MEDLINE
| ID: mdl-38454667
ABSTRACT
We consider a quasi-one-dimensional Poisson-Nernst-Planck model with two cations having the same valances and one anion. Bikerman's local hard-sphere potential is included to account for ion size effects. Under some further restrictions on the boundary conditions of the two cations, we obtain approximations of the I-V (current-voltage) relations by treating the ion sizes as small parameters. Critical potentials are identified, which play critical roles in characterizing finite ion size effects on ionic flows. Nonlinear interplays between system parameters, such as boundary concentrations and diffusion coefficients, are analyzed. To provide more intuitive illustrations of our analytical results and better understanding of the dynamics of ionic flows through membrane channels, numerical simulations are performed.
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Colección:
01-internacional
Base de datos:
MEDLINE
Idioma:
En
Revista:
Math Biosci Eng
Año:
2024
Tipo del documento:
Article
País de afiliación:
China