title: A tree-parenchyma coupled model for lung ventilation simulation.
abstract: In this article, we develop a lung ventilation model. The parenchyma is described as an elastic homogenized media. It is irrigated by a space-filling dyadic resistive pipe network, which represents the tracheobronchial tree. In this model, the tree and the parenchyma are strongly coupled. The tree induces an extra viscous term in the system constitutive relation, which leads, in the finite element framework, to a full matrix. We consider an efficient algorithm that takes advantage of the tree structure to enable a fast matrix-vector product computation. This framework can be used to model both free and mechanically induced respiration, in health and disease. Patient-specific lung geometries acquired from computed tomography scans are considered. Realistic Dirichlet boundary conditions can be deduced from surface registration on computed tomography images. The model is compared to a more classical exit compartment approach. Results illustrate the coupling between the tree and the parenchyma, at global and regional levels, and how conditions for the purely 0D model can be inferred. Different types of boundary conditions are tested, including a nonlinear Robin model of the surrounding lung structures.
authors.affiliation: INRIA Paris, 2 Rue Simone IFF, 75012, Paris, France.|Sorbonne Universités, UPMC Univ. Paris 6, Laboratoire Jacques-Louis Lions, 75252, Paris, France.|Medical R&D, WBL Healthcare, Air Liquide Santé International, 1 Chemin de la Porte des Loges, 78350, Les Loges-en-Josas, France.
authors.forename: Nicolas
authors.initials: N
authors.lastname: Pozin
authors.affiliation: Medical R&D, WBL Healthcare, Air Liquide Santé International, 1 Chemin de la Porte des Loges, 78350, Les Loges-en-Josas, France.
authors.forename: Spyridon
authors.initials: S
authors.lastname: Montesantos
authors.affiliation: Medical R&D, WBL Healthcare, Air Liquide Santé International, 1 Chemin de la Porte des Loges, 78350, Les Loges-en-Josas, France.|Department of Mechanical Engineering, Lafayette College, Easton, PA, 18042, USA.
authors.forename: Ira
authors.initials: I
authors.lastname: Katz
authors.affiliation: Medical R&D, WBL Healthcare, Air Liquide Santé International, 1 Chemin de la Porte des Loges, 78350, Les Loges-en-Josas, France.
authors.forename: Marine
authors.initials: M
authors.lastname: Pichelin
authors.affiliation: INRIA Paris, 2 Rue Simone IFF, 75012, Paris, France.|Sorbonne Universités, UPMC Univ. Paris 6, Laboratoire Jacques-Louis Lions, 75252, Paris, France.
authors.forename: Irene
authors.identifier: 0000-0001-9754-4386
authors.initials: I
authors.lastname: Vignon-Clementel
authors.affiliation: INRIA Paris, 2 Rue Simone IFF, 75012, Paris, France.|Sorbonne Universités, UPMC Univ. Paris 6, Laboratoire Jacques-Louis Lions, 75252, Paris, France.
authors.forename: Céline
authors.initials: C
authors.lastname: Grandmont
mesh_terms: D000465:Algorithms; D001980:Bronchi / Q000033:anatomy & histology / Q000000981:diagnostic imaging / Q000502:physiology; D006801:Humans; D008168:Lung / Q000033:anatomy & histology / Q000000981:diagnostic imaging / Q000502:physiology*; D008954:Models, Biological; D000072356:Parenchymal Tissue / Q000502:physiology; D015656:Respiratory Mechanics; D014057:Tomography, X-Ray Computed; D014132:Trachea / Q000033:anatomy & histology / Q000000981:diagnostic imaging / Q000502:physiology
keywords: 0D-3D model coupling; disease modelling; medical image-based boundary conditions; model comparison; respiratory mechanics; spontaneous and mechanical breathing