Poisson–Nernst–Planck Systems for Ion Flow with Density Functional Theory for Hard-Sphere Potential: I–V Relations and Critical Potentials. Part I: Analysis

A New Poisson-Nernst-Planck Equation (PNP-FS-IF) for Charge Inversion Near Walls

(2011) YunKyong Hyon et al.   BIOPHYSICAL JOURNAL

Energetic Variational Analysis EnVarA of Ions in Calcium and Sodium Channels

(2010) Robert S. Eisenberg et al.   BIOPHYSICAL JOURNAL

Poisson–Nernst–Planck Systems for Narrow Tubular-Like Membrane Channels

(2010) Weishi Liu et al.   Journal of Dynamics and Differential Equations

Towards an understanding of induced-charge electrokinetics at large applied voltages in concentrated solutions

(2009) Martin Z. Bazant et al.   ADVANCES IN COLLOID AND INTERFACE SCIENCE

A Poisson–Nernst–Planck Model for Biological Ion Channels—An Asymptotic Analysis in a Three-Dimensional Narrow Funnel

(2009) A. Singer et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Singular perturbation analysis of the steady-state Poisson–Nernst–Planck system: Applications to ion channels

(2008) A. SINGER et al.   EUROPEAN JOURNAL OF APPLIED MATHEMATICS

One-dimensional steady-state Poisson–Nernst–Planck systems for ion channels with multiple ion species

(2008) Weishi Liu   JOURNAL OF DIFFERENTIAL EQUATIONS

Discrete-state model of coupled ion permeation and fast gating in ClC chloride channels

(2008) Rob D Coalson   Journal of Physics A-Mathematical and Theoretical

Asymptotic Expansions of I-V Relations via a Poisson–Nernst–Planck System

(2008) Nicole Abaid et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS