Multiscale modelling of the respiratory tract

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.
Type de document :
Article dans une revue
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2010, pp.59--93. 〈10.1142/S0218202510004155〉
Liste complète des métadonnées

Littérature citée [36 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/inria-00343629
Contributeur : Celine Grandmont <>
Soumis le : jeudi 19 mars 2009 - 16:17:39
Dernière modification le : vendredi 31 août 2018 - 09:06:03
Document(s) archivé(s) le : mercredi 22 septembre 2010 - 12:23:36

Fichier

NS_piston_revised.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

Léonardo Baffico, Céline Grandmont, Bertrand Maury. Multiscale modelling of the respiratory tract. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2010, pp.59--93. 〈10.1142/S0218202510004155〉. 〈inria-00343629v2〉

Partager

Métriques

Consultations de la notice

433

Téléchargements de fichiers

189