Self-consistent analytic solution for the current and the access resistance in open ion channels

Self-consistent analytic solution for the current and the access resistance in open ion channels

A self-consistent analytic approach is introduced for the estimation of the access resistance and the current through an open ion channel for an arbitrary number of species. For an ion current flowing radially inward from infinity to the channel mouth, the Poisson-Boltzmann-Nernst-Planck equations a...

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Veröffentlicht in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2009-08, Vol.80 (2 Pt 1), p.021925-021925, Article 021925
Hauptverfasser: Luchinsky, D G, Tindjong, R, Kaufman, I, McClintock, P V E, Eisenberg, R S
Format: Artikel
Sprache:eng
Schlagworte:
Diffusion
Electric Conductivity
Ion Channel Gating
Ion Channels - chemistry
Ion Channels - metabolism
Linear Models
Models, Biological
Porosity
Static Electricity
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container_end_page 021925
container_issue 2 Pt 1
container_start_page 021925
container_title Physical review. E, Statistical, nonlinear, and soft matter physics
container_volume 80
creator Luchinsky, D G
Tindjong, R
Kaufman, I
McClintock, P V E
Eisenberg, R S
description A self-consistent analytic approach is introduced for the estimation of the access resistance and the current through an open ion channel for an arbitrary number of species. For an ion current flowing radially inward from infinity to the channel mouth, the Poisson-Boltzmann-Nernst-Planck equations are solved analytically in the bulk with spherical symmetry in three dimensions, by linearization. Within the channel, the Poisson-Nernst-Planck equation is solved analytically in a one-dimensional approximation. An iterative procedure is used to match the two solutions together at the channel mouth in a self-consistent way. It is shown that the current-voltage characteristics obtained are in good quantitative agreement with experimental measurements.
doi_str_mv 10.1103/PhysRevE.80.021925
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subjects Diffusion
Electric Conductivity
Ion Channel Gating
Ion Channels - chemistry
Ion Channels - metabolism
Linear Models
Models, Biological
Porosity
Static Electricity
title Self-consistent analytic solution for the current and the access resistance in open ion channels
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