ArticleMultiscale modeling & simulation : a SIAM interdisciplinary journal2016
MESOSCOPIC MODELING OF STOCHASTIC REACTION-DIFFUSION KINETICS IN THE SUBDIFFUSIVE REGIME.
Article in Multiscale modeling & simulation : a SIAM interdisciplinary journal, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- Stochastic self-tuning hybrid algorithm for reaction-diffusion systems.The Journal of chemical physics · 2019Article
- Mesoscopic-microscopic spatial stochastic simulation with automatic system partitioning.The Journal of chemical physics · 2017Article
- Multiscale Modeling of Diffusion in a Crowded Environment.Bulletin of mathematical biology · 2017Article
- Single molecule simulations in complex geometries with embedded dynamic one-dimensional structures.The Journal of chemical physics · 2013Article
- Perspective: Stochastic algorithms for chemical kinetics.The Journal of chemical physics · 2013Article
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4 authors.
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Abstract
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.
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