Gwecho, A.M., Wang, S. and Mboya, O.T. (2020) Existence of Approximate Solutions for Modified Poisson Nernst-Planck Describing Ion Flow in cell Membranes. American Journal of Computational Mathematics, 10, 473-484.
https://doi.org/10.4236/ajcm.2020.103027

has been cited by the following article:

• TITLE: A Flux Ratio Independent of the Permanent Charge in PNP Models

  AUTHORS: Guojian Lin

  KEYWORDS: PNP Model, The Permanent Charge, Ionic Flow

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.1, January 9, 2023

  ABSTRACT: PNP models with an arbitrary number of positively charged ion species and one negatively charged ion species are studied in this paper under the assumption that positively charged ion species have the same valence and the permanent charge is a piecewise constant function. The permanent charge plays the key role in many functions of an ion channel, such as selectivity and gating. In this paper, using the geometric singular perturbation theory, a flux ratio independent of the permanent charge is proved.