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Integrated Multi-Model Description of the Human Lungs

Céline Grandmont 1, 2 Bertrand Maury 3 
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : The respiratory system realizes the transfer of oxygen from the outside air to the alveolar membrane, through which it diffuses into the blood. As pure diffusion is far from being sufficient to realize that transfer, most of it is of advective type, and this advection is triggered by inflation-deflation cycles of the parenchyma. The mechanical part of the lungs can then be seen as a tree-like domain (conducting airways) embedded in an elastic medium. The flow in the upper part is inertial (incompressible Navier-Stokes equations), whereas inertia can be neglected for deeper branches (Stokes equations), which allows to use Poiseuille's law for each branch, and consequently Darcy like equations on the corresponding subtrees. We address here the delicate issues in terms of theory, numerics, and modeling, raised by the coupling of those models (Navier-Stokes, Darcy equations on a network, elasticity equations).
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Submitted on : Monday, July 15, 2013 - 11:56:45 AM
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Céline Grandmont, Bertrand Maury. Integrated Multi-Model Description of the Human Lungs. Matthias Ehrhardt. Coupled Fluid Flow in Energy, Biology and Environmental Research, 2, Springer, pp.87-103, 2011, E-Book Series Progress in Computational Physics (PiCP), 978-1-60805-691-0. ⟨10.2174/978160805254711202010104⟩. ⟨hal-00844468⟩



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