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

Luchinsky, D. G. and Tindjong, R. and McClintock, P. V. E. and Kaufman, I. and Eisenberg, R. S. (2007) Self-consistent analytic solution for the current and access resistance in open ionic channels. Proceedings of SPIE, 6602. ISSN 0277-786X

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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 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.

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Proceedings of SPIE
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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.
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20 Nov 2014 09:36
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22 Nov 2022 01:46