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Multiscale modelling of the respiratory tract

Léonardo Baffico 1 Céline Grandmont 2 Bertrand Maury 3
2 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : We propose here a decomposition of the respiratory tree into three stages which correspond to different mechanical models. The resulting system is described by the Navier-Stokes equation coupled with an ODE (a simple spring model) representing the motion of the thoracic cage. We prove that this problem has at least one solution locally in time for any data and, in the special case where the spring stiffness is equal to zero, we obtain an existence result globally in time provided that the data are small enough. The behaviour of the global model is illustrated by three-dimensional simulations.
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https://hal.inria.fr/inria-00343629
Contributor : Celine Grandmont <>
Submitted on : Tuesday, December 2, 2008 - 12:41:49 PM
Last modification on : Wednesday, September 16, 2020 - 4:04:44 PM
Long-term archiving on: : Monday, June 7, 2010 - 8:27:49 PM

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  • HAL Id : inria-00343629, version 1

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Léonardo Baffico, Céline Grandmont, Bertrand Maury. Multiscale modelling of the respiratory tract. [Research Report] 2008, pp.33. ⟨inria-00343629v1⟩

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