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Biophysical Journal 7: 545-554 (1967)
© 1967 the Biophysical Society

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The Time Dependence of Single File Diffusion

Robert I. Macey and Robert M. Oliver

ABSTRACT

The single file diffusion of particles through a narrow pore membrane separating two media is treated as a stochastic birth and death process. A set of differential-difference equations is derived to describe the probability of finding n particles in the pore at any time whose source is the left-hand medium. Explicit time-dependent solutions for an arbitary number of sites are obtained. These can be used to calculate both one-way and net flux as a function of time. Parameters are estimated from steady state permeability data, and the results of some numerical calculations are presented to illustrate the time required to approach a steady state. In many cases, significant time delays can occur.






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Copyright © 1967 by the Biophysical Society.