A patch-clamp recording of a single ion channel lasts in total

PHYSICS · Multi-part · Fermi University Physics · Biophysics & Medical Physics · Molecular machines, transport and bioenergetics · Molecular machines, transport and bioenergetics

Forces, Machines and Signals, Ch Channels, pumps and the resting potential

Problem

A patch-clamp recording of a single ion channel lasts 5.0 s5.0\,\mathrm{s} in total. Over that time the channel is open for a total of 1.35 s1.35\,\mathrm{s}, resolved as 4545 separate opening events. The channel obeys simple two-state (open/closed) kinetics, and the record also contains 4545 closed intervals. ((a)) Find the open probability PoP_o of the channel. ((b)) Find the mean open dwell time τopen\tau_{\rm open}. ((c)) Find the mean closed dwell time τclosed\tau_{\rm closed}.

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