D. G. Luchinsky,1,2 R. Tindjong,1 P. V. E. McClintock,1 I. Kaufman,3 R. S. Eisenberg4
1Lancaster Univ. (United Kingdom) 2Ames Research Ctr. (United States) 3The Russian Research Institute for Metrological Service (Russia) 4Rush Medical College (United States)
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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 Kurnikova16 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.
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D. G. Luchinsky, R. Tindjong, P. V. E. McClintock, I. Kaufman, R. S. Eisenberg, "Self-consistent analytic solution for the current and access resistance in open ionic channels," Proc. SPIE 6602, Noise and Fluctuations in Biological, Biophysical, and Biomedical Systems, 66020E (8 June 2007); https://doi.org/10.1117/12.724692