Liu, W. (2009) One-Dimensional Steady-State Poisson-Nernst-Planck Systems for Ion Channels with Multiple Ion Species. Journal of Differential Equations, 246, 428-451.
https://doi.org/10.1016/j.jde.2008.09.010

has been cited by the following article:

• TITLE: Effects of Small Permanent Charge on PNP Models

  AUTHORS: Guojian Lin

  KEYWORDS: PNP Model, Permanent Charge, Ionic Flow

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.9, September 26, 2021

  ABSTRACT: In this paper, a stationary one-dimensional Poisson-Nernst-Planck model with permanent charge is studied under the assumption that n - 1 positively charged ion species have the same valence and the permanent charge is small. By expanding the singular solutions of Poisson-Nernst-Planck model with respect to small permanent charge, the explicit formulae for the zeroth order approximation and the first order approximation of individual flux can be obtained. Based on these explicit formulae, the effects of small permanent charges on individual flux are investigated.