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September, 1990 Renewal Theory Properties of Ion Channels
Andre Robert Dabrowski, David McDonald, Uwe Rosler
Ann. Statist. 18(3): 1091-1115 (September, 1990). DOI: 10.1214/aos/1176347741


The membranes of cells, such as those found in heart and nerve tissue, contain structures known as ion channels. The current produced by an ion channel in a cell membrane has been modelled as a finite state-space Markov process. Statistical analysis of ion channels has been largely limited to the case where a single channel is observed, or where the stimulus to the channel is so slight that only one channel at a time is emitting current. In many experiments, however, several channels are producing current simultaneously. Therefore only the superposition of the currents from an unknown number of channels can be observed. A hypothesis test is established which tests whether these channels operate independently and identically. If the null hypothesis is not rejected, confidence intervals for the mean emitting time and mean nonemitting time of individual channels and estimates of the distribution functions of the sojourns in emitting states and nonemitting states are obtained.


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Andre Robert Dabrowski. David McDonald. Uwe Rosler. "Renewal Theory Properties of Ion Channels." Ann. Statist. 18 (3) 1091 - 1115, September, 1990.


Published: September, 1990
First available in Project Euclid: 12 April 2007

zbMATH: 0707.60083
MathSciNet: MR1062700
Digital Object Identifier: 10.1214/aos/1176347741

Primary: 60K20
Secondary: 60F17, 62M07, 62M09, 62P10

Rights: Copyright © 1990 Institute of Mathematical Statistics


Vol.18 • No. 3 • September, 1990
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