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Issue 39, 2008
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Multiresolution stochastic simulations of reaction–diffusion processes

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Abstract

Stochastic simulations of reaction–diffusion processes are used extensively for the modeling of complex systems in areas ranging from biology and social sciences to ecosystems and materials processing. These processes often exhibit disparate scales that render their simulation prohibitive even for massive computational resources. The problem is resolved by introducing a novel stochastic multiresolution method that enables the efficient simulation of reaction–diffusion processes as modeled by many-particle systems. The proposed method quantifies and efficiently handles the associated stiffness in simulating the system dynamics and its computational efficiency and accuracy are demonstrated in simulations of a model problem described by the Fisher–Kolmogorov equation. The method is general and can be applied to other many-particle models of physical processes.

Graphical abstract: Multiresolution stochastic simulations of reaction–diffusion processes

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Publication details

The article was received on 25 Jun 2008, accepted on 05 Aug 2008 and first published on 01 Sep 2008


Article type: Communication
DOI: 10.1039/B810795E
Phys. Chem. Chem. Phys., 2008,10, 5963-5966

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    Multiresolution stochastic simulations of reaction–diffusion processes

    B. Bayati, P. Chatelain and P. Koumoutsakos, Phys. Chem. Chem. Phys., 2008, 10, 5963
    DOI: 10.1039/B810795E

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