Biophysical Journal 47: 129-137 (1985)
© 1985 the Biophysical Society

This Article Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Similar articles in this journal Similar articles in PubMed Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via Google Scholar Google Scholar Articles by Jackson, M B Search for Related Content PubMed PubMed Citation Articles by Jackson, M B

Stochastic behavior of a many-channel membrane system.

ABSTRACT

A stochastic theory of channel-gating transitions is developed for a stationary system with many channels, with applications to patch-clamp single-channel experiments. Exact probability density and distribution functions for closed times, open times, and first transit times in an N-channel system are obtained in terms of N and the solutions for a one-channel system. Once N is determined, the expressions derived here can be used to analyze data records that are crowded by many channel openings and where multilevel events are common. The three-state model is treated as a specific example. Computer simulations of three-state models indicate that the equations derived here can be used to recover useful information from crowded single-channel current records. The simulations also revealed some of the limitations to the usefulness of these equations. The probability that a channel that has not opened is in a particular closed state was examined as a function of time. This analysis led to a useful limit where the distribution of unopened channels between various closed states is constant in time. This limit simplifies the mathematical treatment of closed-time probabilities, and provides a general method for the analysis of many-channel systems when channels open infrequently.