Membrane patches usually contain several ion channels of a given type. However, most of
the stochastic modelling on which data analysis (in particular, estimation of kinetic …

If a single ion channel record is observed in which two ion channels are never
simultaneously open, then it is often of interest to know whether the observations indeed …

The stochastic behavior of single-channel current in a steady-state has been interpreted as
the channel's state transitions between several open and shut states, and these transitions …

We derive a number of statistical properties of the superposition of several independent
channels contributing to a patch-clamp recording. Failure of these properties indicates …

It is desirable to be able to predict, from a specified mechanism, the appearance of currents
that flow through single ion channels (a) to enable interpretation of experiments in which …

A general stochastic theory is presented for analysis of current records of a patch containing
an arbitrary number (N) of independent homologous channels in the steady-state. We give …

Stochastic models of ion channels have been based largely on Markov theory where
individual states and transition rates must be specified, and sojourn-time densities for each …

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 …

Quantitative analysis of patch clamp data is widely based on stochastic models of single-
channel kinetics. Membrane patches often contain more than one active channel of a given …

Macroscopic ion channel current is the summation of the stochastic records of individual
channel currents and therefore relates to their statistical properties. As a consequence of this …