Relationship between statistical properties of single ionic channel recordings and the thermodynamic state of the channels

Recordings of the electric conductivity of a single ionic channel usually exhibit two levels of conductance: a zero and a finite level. The channel may, however, be in a few states which have the same conductivity level, and the distribution of dwell time durations at this conductivity level is thus not monoexponential. It is shown that the joint probability p(tc,to) of the occurrence of a time interval tc during which the channel is not conducting, immediately followed by a time interval to during which the channel is conducting may or may not be equal to the joint probability pr(tc,to) of the occurrence of a non-conducting interval tc preceded by a conducting interval to. If the interconversions between the various states in which the channel can exist obey detailed balance, i.e., if the channel behaves like a system at thermodynamic equilibrium, then p(tc,to) = pr(tc,to). This should help to reveal whether irreversible processes, like metabolic reactions or flows of substances across the membrane, are coupled to the gating process of the ionic channels.