Advection, diffusion, and delivery over a network

Journal article

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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Authors: Heaton, L; Lopez, E; Maini, P; Fricker, MD; Jones, N

• Publication status: Published
• Journal: PHYSICAL REVIEW E
• Volume: 86
• Issue: 2
• Publication date: 2012-08-07
• DOI: 10.1103/PhysRevE.86.021905
• EISSN: 1550-2376
• ISSN: 1539-3755
• Language: English