Rights statement: Copyright 2007 Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. http://dx.doi.org/10.1117/12.724692
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Research output: Contribution to Journal/Magazine › Journal article
Research output: Contribution to Journal/Magazine › Journal article
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TY - JOUR
T1 - Self-consistent analytic solution for the current and access resistance in open ionic channels
AU - Luchinsky, D. G.
AU - Tindjong, R.
AU - McClintock, P. V. E.
AU - Kaufman, I.
AU - Eisenberg, R. S.
N1 - Copyright 2007 Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. http://dx.doi.org/10.1117/12.724692
PY - 2007/6/8
Y1 - 2007/6/8
N2 - Ionic motion in the bulk solution away from the mouth of a biological ion channel, and inside the channel, is analyzed using Poisson-Nernst-Planck (PNP) equation. The one-dimensional method allows us to connect in a self-consistent way ion dynamics in the bulk solution and inside the channel by taking into account access resistance to the channel. In order to glue the PNP solution in the bulk to that inside the channel, a continuity condition is used for the concentration and the current near the channel mouth at the surface of the hemisphere. The resulting one dimensional (1D) current-voltage characteristics are compared with the Kurnikova(16) results which are in good agreement with experimental measurement on the channel, by using a filling factor as the only fitting parameter. The filling factor compensates the fact that the radial charge distribution is non-uniform in a real channel as compared to the cylindrically symmetrical channel used in the 1D approximation.
AB - Ionic motion in the bulk solution away from the mouth of a biological ion channel, and inside the channel, is analyzed using Poisson-Nernst-Planck (PNP) equation. The one-dimensional method allows us to connect in a self-consistent way ion dynamics in the bulk solution and inside the channel by taking into account access resistance to the channel. In order to glue the PNP solution in the bulk to that inside the channel, a continuity condition is used for the concentration and the current near the channel mouth at the surface of the hemisphere. The resulting one dimensional (1D) current-voltage characteristics are compared with the Kurnikova(16) results which are in good agreement with experimental measurement on the channel, by using a filling factor as the only fitting parameter. The filling factor compensates the fact that the radial charge distribution is non-uniform in a real channel as compared to the cylindrically symmetrical channel used in the 1D approximation.
KW - ionic channels
KW - Poisson equation
KW - Nernst-Planck equation
KW - access resistance
KW - self-consistent approach
KW - NARROW MEMBRANE CHANNELS
KW - NERNST-PLANCK THEORY
KW - SELECTIVITY
KW - PERMEATION
KW - GRAMICIDIN
KW - FLOW
U2 - 10.1117/12.724692
DO - 10.1117/12.724692
M3 - Journal article
VL - 6602
JO - Proceedings of SPIE
JF - Proceedings of SPIE
SN - 0277-786X
M1 - 66020E
T2 - Conference on Noise and Fluctuations in Biological, Biophysical, and Biomedical Systems
Y2 - 21 May 2007 through 23 May 2007
ER -