We consider a one-dimensional steady-state Poisson-Nernst-Planck type model for ionic flow through membrane channels. Improving the classical Poisson-Nernst-Planck models where ion species are treated as point charges, this model includes ionic interaction due to finite sizes of ion species modeled by hard sphere potential from the Density Functional Theory. The resulting problem is a singularl...

A number of studies have shown that an electropotential difference, PD, of about 100 mv (interior negative), is present across plant cell membranes (2, 3, 7, 8, 10, 11, 13, 21), similar to that across animal celtl membranes. Thus, if minerals move through cell membranes as ions, they are subject not only to concentration gradients but also to electrical fields. For precise evaluation of the ene...

a difference in salt concentration in two solutions separated by a membrane leads to an electrical potential difference across the membrane, also without applied current. a literature study is presented on proposed theories for the origin of this membrane potential (ϕm). the most well-known theoretical description is teorell-meyer-sievers (tms) theory, which we analyze and extend. experimental ...

We develop a modified Poisson--Nernst--Planck model which includes both the long-range Coulomb and short-range hard-sphere correlations in its free energy functional such that can accurat...