We have developed a molecular mean-field theory—fourth-order Poisson–Nernst–Planck–
Bikerman theory—for modeling ionic and water flows in biological ion channels by treating …

This work is aimed to give an electrochemical insight into the ionic transport phenomena in
the cellular environment of organized brain tissue. The Nernst–Planck–Poisson (NPP) …

The interactions between mathematics and physiology have a long and illustrious history, of
which the study of calcium signalling is but a small chapter. Nevertheless, for those involved …

A Poisson-Nernst-Planck-Fermi (PNPF) theory is developed for studying ionic transport
through biological ion channels. Our goal is to deal with the finite size of particle using a …

Aqueous electrolyte solutions containing multivalent ions exhibit various intriguing
properties, including attraction between like-charged colloidal particles, which results from …

The standard model for diffuse charge phenomena in colloid science, electrokinetics, and
biology is the Poisson–Boltzmann mean-field theory, which breaks down for multivalent ions …

Biological ion channels are protein nanotubes embedded in, and passing through, the
bilipid membranes of cells. Physiologically, they are of crucial importance in that they allow …

Numerical methods are proposed for an advanced Poisson-Nernst-Planck-Fermi (PNPF)
model for studying ion transport through biological ion channels. PNPF contains many more …

A Poisson–Fermi model is proposed for calculating activity coefficients of single ions in
strong electrolyte solutions based on the experimental Born radii and hydration shells of …

The envelope (E) protein encoded in the genome of an RNA virus is crucial for the
replication, budding and pathophysiology of the virus. In the light of the ongoing pandemic …