| Autor: |
Blanc, Emilie, Engblom, Stefan, Hellander, Andreas, Lötstedt, Per |
| Rok vydání: |
2015 |
| Předmět: |
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| Zdroj: |
Multiscale Model. Simul. 14(2):668--707 (2016) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1137/15M1013110 |
| Popis: |
Subdiffusion has been proposed as an explanation of various kinetic phenomena inside living cells. In order to fascilitate large-scale computational studies of subdiffusive chemical processes, we extend a recently suggested mesoscopic model of subdiffusion into an accurate and consistent reaction-subdiffusion computational framework. Two different possible models of chemical reaction are revealed and some basic dynamic properties are derived. In certain cases those mesoscopic models have a direct interpretation at the macroscopic level as fractional partial differential equations in a bounded time interval. Through analysis and numerical experiments we estimate the macroscopic effects of reactions under subdiffusive mixing. The models display properties observed also in experiments: for a short time interval the behavior of the diffusion and the reaction is ordinary, in an intermediate interval the behavior is anomalous, and at long times the behavior is ordinary again. |
| Databáze: |
arXiv |
| Externí odkaz: |
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