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Transit probability of biomolecule in nonlinear membranal channel

Yanjun Zhou and Cangtao Yin

Physica A: Statistical Mechanics and its Applications, 2015, vol. 436, issue C, 519-524

Abstract: Based on the generalized Smoluchowski equation that can describe the anomalous diffusion systems, the anomalous facilitated diffusion by which the molecules traverse the membrane in specific channels is studied and the expressions of generalized transit probability are obtained. Two factors of well lengths and power-law parameters on the transit probability are considered. It is shown that the nonlinear property of cell membrane leads to the non-Markov process of Brownian motion and thereby produces the subdiffusive effect. Therefore, it will be expected that our generalized expressions of transit probability are more general and more desired results for complex nonequilibrium systems.

Keywords: Transit probability; Generalized Smoluchowski equation; Nonlinearity (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:436:y:2015:i:c:p:519-524

DOI: 10.1016/j.physa.2015.05.078

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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