On rigorous definition of ion transport process and accurate determination of membrane potential at steady state

Authors:
Publisher website
Google Scholar
Abstract
Ion transport plays an important role in many fields, such as signal generation and transmission in neural systems, function of ion channel on bio‐membranes, and water demineralization with nanofiltration and reverse osmosis. The electrical potential concurred with ion transport on a membrane not only reflects the properties of ions (e.g., charge, concentration, and mobility) but also regulates the transport rates of the ions. However, accurate determination of membrane potential remains a severe challenge because of the difficulties in specifying the appropriate boundary conditions for the governing Nernst–Planck–Poisson equations. An innovative boundary condition updating scheme was developed in this study to ensure that the boundary conditions are consistently imposed for both Nernst–Planck equation and Poisson's equation at any time. With this scheme, the general ion transport process can be rigorously defined and formulated for the accurate determination of membrane potential.

This publication has 30 references indexed in Scilit: