Counting translocations of strongly repelling particles through single channels: fluctuation theorem for membrane transport.
Transport of strongly repelling particles through a single membrane channel is analyzed assuming that the channel cannot be occupied by more than one particle. An exact solution is found for the Laplace transform of the probability P_{n}(t) that n particles have been transported in time t. This transform is used to find the flux through the channel and to show that P_{n}(t) and P_{-n}(t) are related by the fluctuation theorem. The solution is obtained using an observation that P_{n}(t) is the propagator for a non-Markovian random walk, which can be found by solving a set of integral equations.
Berezhkovskii
Alexander M
AM
Mathematical and Statistical Computing Laboratory, Division of Computational Bioscience, Center for Information Technology, National Institutes of Health, Bethesda, MD 20892, USA.
Bezrukov
Sergey M
SM
D007473:Ion Channels / Q000737:chemistry* / Q000378:metabolism; D008566:Membranes / Q000737:chemistry* / Q000378:metabolism; D008954:Models, Biological; D008956:Models, Chemical
D007473:Ion Channels