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Biophysical Journal 84:787-793 (2003)
© 2003 The Biophysical Society

Translocation of Rodlike Polymers through Membrane Channels

A. M. Berezhkovskii* and I. V. Gopich{dagger}

* Mathematical and Statistical Computing Laboratory, Center for Information Technology, National Institutes of Health, Bethesda, Maryland 20892, and {dagger} Laboratory of Chemical Physics, National Institute of Diabetes, Digestive and Kidney Diseases, National Institutes of Health, Bethesda, Maryland 20892

Correspondence: Address reprint requests to Irina V. Gopich, Laboratory of Chemical Physics, NIDDK, Bldg. 5/136, National Institutes of Health, Bethesda, MD 20892. Tel.: 301-496-1880; E-mail: irinag{at}speck.niddk.nih.gov.

A theory of channel-facilitated transport of long rodlike macromolecules through thin membranes under the influence of a driving force of arbitrary strength is developed. Analytic expressions are derived for the translocation probability and the Laplace transform of the probability density of time that a macromolecule spends in the channel. We also derive expressions for the (conditional) probability densities of time spent in the channel by translocating and nontranslocating (returning back) macromolecules. These results are used to study how the distribution of the macromolecule lifetime in the channel depends on a polymer chain length and the driving force. It is shown that depending on the values of the parameters, the lifetime probability density may have one or two peaks. Our theory is a generalization of the theory developed by Lubensky and Nelson, who were inspired by recent experiments on driven translocation of single-stranded RNA and DNA molecules through single channels in narrow membranes.




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