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Biophys J, January 2000, p. 1-12, Vol. 78, No. 1

and
*Department of Physiology and Biophysics, State University of New
York at Buffalo, Buffalo, New York 14214 USA;
Department of
Anaesthesia, Sir Charles Gairdner Hospital, Nedlands 6009, Western
Australia; and
Department of Pharmacology, University of Western
Australia, Nedlands 6907, Western Australia
It is often assumed that ion channels in cell membrane
patches gate independently. However, in the present study nicotinic receptor patch clamp data obtained in cell-attached mode from embryonic
chick myotubes suggest that the distribution of steady-state probabilities for conductance multiples arising from concurrent channel
openings may not be binomial. In patches where up to four active
channels were observed, the probabilities of two or more concurrent
openings were greater than expected, suggesting positive cooperativity.
For the case of two active channels, we extended the analysis by
assuming that 1) individual receptors (not necessarily identical) could
be modeled by a five-state (three closed and two open) continuous-time
Markov process with equal agonist binding affinity at two recognition
sites, and 2) cooperativity between channels could occur through
instantaneous changes in specific transition rates in one channel
following a change in conductance state of the neighboring channel.
This allowed calculation of open and closed sojourn time density
functions for either channel conditional on the neighboring channel
being open or closed. Simulation studies of two channel systems, with
channels being either independent or cooperative, nonidentical or
identical, supported the discriminatory power of the optimization
algorithm. The experimental results suggested that individual
acetylcholine receptors were kinetically identical and that the open
state of one channel increased the probability of opening of its neighbor.
Biophys J, January 2000, p. 1-12, Vol. 78, No. 1
© 2000 by the Biophysical Society 0006-3495/00/01/01/12 $2.00
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