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Multiscale reaction-diffusion algorithms: pde-assisted Brownian dynamics

Abstract:

Two algorithms that combine Brownian dynamics (BD) simulations with mean-field partial differential equations (PDEs) are presented. This PDE-assisted Brownian dynamics (PBD) methodology provides exact particle tracking data in parts of the domain, whilst making use of a mean-field reaction-diffusion PDE description elsewhere. The first PBD algorithm couples BD simulations with PDEs by randomly creating new particles close to the interface which partitions the domain and by reincorporating par...

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Publication date:
2012-01-01
UUID:
uuid:acdf9c74-146e-4c89-add0-76f764836670
Local pid:
oai:eprints.maths.ox.ac.uk:1562
Deposit date:
2012-07-20

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