Multi-scale homogenization of the mass transport equation in periodic capillary networks
Homogenization theory is used to derive macro-scale models of the mass transport equation. Seven cases are considered depending on what combinations of advection, diffusion, and metabolism dominate on the large scale. The order of the Péclet and Damköhler numbers determines the form of the averaged...
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Computational and Mathematical Biomedical Engineering
2015
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