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10.1007/s00249-015-1054-5 http://scihub22266oqcxt.onion/10.1007/s00249-015-1054-5 C4628625!4628625!26129728     free     free     free       Eur+Biophys+J 2015 ; 44 (8): 613-21 Nephropedia Template TP {{tp|p=26129728|t=2015. Fractal model of anomalous diffusion |pdf=|usr=}}{{26129728}} gab.com Text Fractal model of anomalous diffusion JO: Eur Biophys J http://www.kidney.de/pget.php?&tw=1&pmid=26129728 #FOAvip 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. Twit Text FOAVip Fractal model of anomalous diffusion ????Eur Biophys J http://www.kidney.de/pget.php?&tw=1&pmid=26129728 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=26129728 #FOAvip English Wikipedia <ref>{{Cite pmid|26129728}}</ref> Fractal model of anomalous diffusion #MMPMID26129728 Gmachowski L Eur Biophys J 2015[]; 44 (8): 613-21 PMID26129728show ga 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. äFractal model of anomalous diffusion (epmc).pdf DeepDyve Pubget Overpricing