With the continued improvement of sequencing technologies, the prospect of genome-based
medicine is now at the forefront of scientific research. To realize this potential, however, a …

Transport of ions through pores in membranes is a process of fundamental importance to
cell biology. In living organisms, such transport is facilitated by ion channels that utilize the …

Ionic solutions are mixtures of interacting anions and cations. They hardly resemble dilute
gases of uncharged noninteracting point particles described in elementary textbooks …

The DC response of an electrochemical thin film, such as the separator in a microbattery, is
analyzed by solving the Poisson--Nernst--Planck equations, subject to boundary conditions …

There are thousands of different nanometer-scale pores in biology, many of which act as
sensors for specific chemical agents. Recent work suggests that protein and solid-state …

The flow of current through an ionic channel is studied using the energetic variational
approach of Liu applied to the primitive (implicit solvent) model of ionic solutions. This …

Nanometer-scale pores have demonstrated potential for the electrical detection,
quantification, and characterization of molecules for biomedical applications and the …

A lattice relaxation algorithm is developed to solve the Poisson-Nernst-Planck (PNP)
equations for ion transport through arbitrary three-dimensional volumes. Calculations of …

This is an early but comprehensive review of the PNP Poisson Nernst Planck theory of ion
channels. Extensive reference is made to the earlier literature. The starting place for this …

A recently introduced real-space lattice methodology for solving the three-dimensional
Poisson-Nernst-Planck equations is used to compute current-voltage relations for ion …