期刊
EUROPEAN BIOPHYSICS JOURNAL WITH BIOPHYSICS LETTERS
卷 44, 期 8, 页码 613-621出版社
SPRINGER
DOI: 10.1007/s00249-015-1054-5
关键词
Contracted or expanded Brownian trajectory; Supported lipid bilayer; Membrane structure; Obstacles to diffusion; Lipid molecules
类别
An equation of motion is derived from fractal analysis of the Brownian particle trajectory in which the asymptotic fractal dimension of the trajectory has a required value. The formula makes it possible to calculate the time dependence of the mean square displacement for both short and long periods when the molecule diffuses anomalously. The anomalous diffusion which occurs after long periods is characterized by two variables, the transport coefficient and the anomalous diffusion exponent. An explicit formula is derived for the transport coefficient, which is related to the diffusion constant, as dependent on the Brownian step time, and the anomalous diffusion exponent. The model makes it possible to deduce anomalous diffusion properties from experimental data obtained even for short time periods and to estimate the transport coefficient in systems for which the diffusion behavior has been investigated. The results were confirmed for both sub and super-diffusion.
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