# Mesoscopic modeling of stochastic reaction-diffusion kinetics in the subdiffusive regime

Source: [Mesoscopic modeling of stochastic reaction-diffusion kinetics in the subdiffusive regime](<https://www.sota2.com/research/paper/68fa54911e209131ce98cd01>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-06-05T05:00:40.919Z

Authors: Emilie Blanc, Stefan Engblom, Andreas Hellander, Per L\\"otstedt

Published: 2015-03-24T12:26:54.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1503.07009>)

[PDF](<https://arxiv.org/pdf/1503.07009.pdf>)