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.