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Advection, diffusion, and delivery over a network

Abstract:

Many biological, geophysical, and technological systems involve the transport of a resource over a network. In this paper, we present an efficient method for calculating the exact quantity of the resource in each part of an arbitrary network, where the resource is lost or delivered out of the network at a given rate, while being subject to advection and diffusion. The key conceptual step is to partition the resource into material that does or does not reach a node over a given time step. As a...

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Publisher:
American Physical Society
Publication date:
2012-01-01
UUID:
uuid:fb7bb84b-3bab-483c-ac19-0c1b6ae10f50
Local pid:
oai:eprints.maths.ox.ac.uk:1596
Deposit date:
2012-09-06

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