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

D. G. Luchinsky; R. Tindjong; P. V. E. McClintock; I. Kaufman; R. S. Eisenberg

doi:10.1117/12.724692

8 June 2007 Self-consistent analytic solution for the current and access resistance in open ionic channels.

D. G. Luchinsky, R. Tindjong, P. V. E. McClintock, I. Kaufman, R. S. Eisenberg

Proceedings Volume 6602, Noise and Fluctuations in Biological, Biophysical, and Biomedical Systems; 66020E (2007) https://doi.org/10.1117/12.724692
Event: SPIE Fourth International Symposium on Fluctuations and Noise, 2007, Florence, Italy

Abstract

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.

Citation Download Citation

D. G. Luchinsky, R. Tindjong, P. V. E. McClintock, I. Kaufman, and 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

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