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 …

The Poisson–Nernst–Planck (PNP) model is based on a mean-field approximation of ion
interactions and continuum descriptions of concentration and electrostatic potential. It …

This work presents a few variational multiscale models for charge transport in complex
physical, chemical, and biological systems and engineering devices, such as fuel cells, solar …

Abstract The Poisson–Nernst–Planck (PNP) theory is a simplified continuum model for a
wide variety of chemical, physical and biological applications. Its ability of providing …

Nanoscale pores are ubiquitous in biological systems while artificial nanopores are being
fabricated for an increasing number of applications. Biological pores are responsible for the …

In vivo skin permeation studies are considered gold standard but are difficult to perform and
evaluate due to ethical issues and complexity of process involved. In recent past, a useful …

This work extends our earlier two-domain formulation of a differential geometry based
multiscale paradigm into a multidomain theory, which endows us the ability to …

Nanopores have emerged as helpful research tools for single molecule detection. Through
continuum modeling, we investigated the effects of membrane thickness, nanopore size, and …

Selective transport of water, salt, and ionic current across water-filled nanopores is a key
feature in a variety of natural and engineered systems including geologic media, biological …

We have simulated bipolar nanopore fluidic diodes for different values of surface charge
densities, electrolyte concentrations, and thickness of transition zone. Nanopore enrichment …