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

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Self-consistent analytic solution for the current and the access resistance in open ion channels. / Luchinsky, D. G.; Tindjong, R.; Kaufman, I. et al.
In: Physical Review E, Vol. 80, 02, No. 2, 2009.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Luchinsky, DG, Tindjong, R, Kaufman, I & McClintock, PVE 2009, 'Self-consistent analytic solution for the current and the access resistance in open ion channels.', Physical Review E, vol. 80, 02, no. 2. https://doi.org/10.1103/PhysRevE.80.021925

APA

Luchinsky, D. G., Tindjong, R., Kaufman, I., & McClintock, P. V. E. (2009). Self-consistent analytic solution for the current and the access resistance in open ion channels. Physical Review E, 80, 02(2). https://doi.org/10.1103/PhysRevE.80.021925

Vancouver

Luchinsky DG, Tindjong R, Kaufman I, McClintock PVE. Self-consistent analytic solution for the current and the access resistance in open ion channels. Physical Review E. 2009;80, 02(2). doi: 10.1103/PhysRevE.80.021925

Author

Luchinsky, D. G. ; Tindjong, R. ; Kaufman, I. et al. / Self-consistent analytic solution for the current and the access resistance in open ion channels. In: Physical Review E. 2009 ; Vol. 80, 02, No. 2.

Bibtex

@article{a0ad4b3462294a4e9d32c7c557096d58,
title = "Self-consistent analytic solution for the current and the access resistance in open ion channels.",
abstract = "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 currentvoltage characteristics obtained are in good quantitative agreement with experimental measurements.",
author = "Luchinsky, {D. G.} and R. Tindjong and I. Kaufman and McClintock, {P. V. E.}",
year = "2009",
doi = "10.1103/PhysRevE.80.021925",
language = "English",
volume = "80, 02",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Self-consistent analytic solution for the current and the access resistance in open ion channels.

AU - Luchinsky, D. G.

AU - Tindjong, R.

AU - Kaufman, I.

AU - McClintock, P. V. E.

PY - 2009

Y1 - 2009

N2 - 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 currentvoltage characteristics obtained are in good quantitative agreement with experimental measurements.

AB - 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 currentvoltage characteristics obtained are in good quantitative agreement with experimental measurements.

U2 - 10.1103/PhysRevE.80.021925

DO - 10.1103/PhysRevE.80.021925

M3 - Journal article

VL - 80, 02

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 2

ER -