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. 1989 May;55(5):915–925. doi: 10.1016/S0006-3495(89)82890-5

Closed-time distribution of ionic channels. Analytical solution to a one-dimensional defect-diffusion model.

C A Condat 1, J Jäckle 1
PMCID: PMC1330528  PMID: 2470430

Abstract

A one-dimensional version of the model recently proposed by Läuger (1988) to explain the closed-time distribution of ionic channels in cell membranes is solved analytically. While the probability density f(t) for closed-time lengths may show a well-defined exponential behavior at short times, a power-law decay is predicted at long times. The influence of an additional random distribution of defects in the current-conducting protein is investigated and found to be dominating at long times. Explicit expressions that may be used for fitting experimental data are given for the closed-time distribution. Some of the available data are discussed and shown to be in good agreement with the predictions of the model.

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Selected References

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