Related Experiment Video
Updated: Aug 26, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Permanent charge effects on Current-Voltage relations via classical Poisson-Nernst-Planck systems under relaxed
1School of Mathematics and Information Technology, Yuncheng University, Yuncheng, 044000, Shanxi, China; College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, Shandong, China.
Abstract:
This work investigates the dynamics of ionic flows through a classical Poisson-Nernst-Planck model incorporating two oppositely charged ion species and small permanent charges. By integrating boundary layer effects into current-voltage relations, we analyze how ionic flow dynamics are influenced by the interplay of physical parameters including permanent charge, channel geometry, and ion diffusion coefficients. Within a simplified modeling framework, we identify several critical potentials that offer mechanistic insights into electrodiffusion processes in biological channels. Extending the work presented in [Membranes 2023, 13, 131], we examine the sequence of these critical potentials and characterize how small permanent charges affect ion flux within the boundary layer. Numerical simulations are conducted to illustrate the analytical results intuitively.
More Related Videos
Related Concept Videos
P-N junction
The Electrical Double Layer
Coulomb's Law
Newton's third law applies to the Coulomb force — the force on...
Electrochemical Systems
Poisson's And Laplace's Equation
Electric Field of Parallel Conducting Plates
Consider a cross-section of a thin, infinite conducting plate having a positive charge. For such a large thin plate, as the thickness of the plate tends to zero, the positive charges lie on the plate's two large faces. Without an external electric field, the...

