D. Colquhoun et al., PROPERTIES OF SINGLE-ION CHANNEL CURRENTS ELICITED BY A PULSE OF AGONIST CONCENTRATION OR VOLTAGE, Philosophical transactions-Royal Society of London. Physical sciences and engineering, 355(1730), 1997, pp. 1743-1786
Experiments are often performed to study the behaviour of a single ion
channel in response to a perturbation produced by a step change ('jum
p') in a variable that influences its equilibrium position, for exampl
e a voltage jump or jump in agonist concentration. It is also common t
o apply a rectangular pulse (consisting of an on jump followed by an o
ff jump); for example brief concentration pulses are used to mimic syn
aptic transmission. Assuming a general Markov mechanism for channel dy
namics, we obtain theoretical probability distributions of observable
characteristics that describe the nonstationary behaviour of single io
n channels which are subject to a jump, or to a pulse of finite durati
on. These characteristics are such things as open times, shut times, f
irst latency, burst length and length of activation. We concentrate pa
rticularly on jumps to or from a zero level of agonist, which necessit
ates some modification to the usual arguments to cope with having some
absorbing sets of states. Where possible, we include results which ma
ke allowance for the phenomenon of time interval omission, whereby som
e short intervals may be missed due to imperfect resolution of the rec
ording method. A numerical example is studied in detail.