title: Electrodiffusion kinetics of ionic transport in a simple membrane channel.
abstract: We employ numerical techniques for solving time-dependent full Poisson-Nernst-Planck (PNP) equations in 2D to analyze transient behavior of a simple ion channel subject to a sudden electric potential jump across the membrane (voltage clamp). Calculated spatiotemporal profiles of the ionic concentrations and electric potential show that two principal exponential processes can be distinguished in the electrodiffusion kinetics, in agreement with original Planck's predictions. The initial fast process corresponds to the dielectric relaxation, while the steady state is approached in a second slower exponential process attributed to the nonlinear ionic redistribution. Effects of the model parameters such as the channel length, height of the potential step, boundary concentrations, permittivity of the channel interior, and ionic mobilities on electrodiffusion kinetics are studied. Numerical solutions are used to determine spatiotemporal profiles of the electric field, ionic fluxes, and both the conductive and displacement currents. We demonstrate that the displacement current is a significant transient component of the total electric current through the channel. The presented results provide additional information about the classical voltage-clamp problem and offer further physical insights into the mechanism of electrodiffusion. The used numerical approach can be readily extended to multi-ionic models with a more structured domain geometry in 2D or 3D, and it is directly applicable to other systems, such as synthetic nanopores, nanofluidic channels, and nanopipettes.
authors.affiliation: Department of Physical and Theoretical Chemistry, Faculty of Natural Sciences, Comenius University , Mlynská dolina, 842 15 Bratislava, Slovak Republic.
authors.forename: Ivan
authors.initials: I
authors.lastname: Valent
authors.forename: Pavol
authors.initials: P
authors.lastname: Petrovič
authors.forename: Pavel
authors.initials: P
authors.lastname: Neogrády
authors.forename: Igor
authors.initials: I
authors.lastname: Schreiber
authors.forename: Miloš
authors.initials: M
authors.lastname: Marek
mesh_terms: D004058:Diffusion; D007473:Ion Channels / Q000737:chemistry / Q000378:metabolism*; D017136:Ion Transport; D007477:Ions / Q000737:chemistry; D007700:Kinetics; D008962:Models, Theoretical
chemical_list: D007473:Ion Channels; D007477:Ions