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We present a general mathematical framework for analyzing the dynamic aspects of single channel kinetics incorporating time interval omission. An algorithm for computing model autocorrelation functions, incorporating time interval omission, is described. We show, under quite general conditions, that the form of these autocorrelations is identical to that which would be obtained if time interval omission was absent. We also show, again under quite general conditions, that zero correlations are necessarily a consequence of the underlying gating mechanism and not an artefact of time interval omission. The theory is illustrated by a numerical study of an allosteric model for the gating mechanism of the locust muscle glutamate receptor-channel.

Original publication

DOI

10.1016/S0006-3495(88)83161-8

Type

Journal article

Journal

Biophys J

Publication Date

05/1988

Volume

53

Pages

819 - 832

Keywords

Computer Simulation, Ion Channels, Kinetics, Mathematics, Models, Biological, Probability, Time Factors