title: Group-wise construction of reduced models for understanding and characterization of pulmonary blood flows from medical images.
abstract: 3D computational fluid dynamics (CFD) in patient-specific geometries provides complementary insights to clinical imaging, to better understand how heart disease, and the side effects of treating heart disease, affect and are affected by hemodynamics. This information can be useful in treatment planning for designing artificial devices that are subject to stress and pressure from blood flow. Yet, these simulations remain relatively costly within a clinical context. The aim of this work is to reduce the complexity of patient-specific simulations by combining image analysis, computational fluid dynamics and model order reduction techniques. The proposed method makes use of a reference geometry estimated as an average of the population, within an efficient statistical framework based on the currents representation of shapes. Snapshots of blood flow simulations performed in the reference geometry are used to build a POD (Proper Orthogonal Decomposition) basis, which can then be mapped on new patients to perform reduced order blood flow simulations with patient specific boundary conditions. This approach is applied to a data-set of 17 tetralogy of Fallot patients to simulate blood flow through the pulmonary artery under normal (healthy or synthetic valves with almost no backflow) and pathological (leaky or absent valve with backflow) conditions to better understand the impact of regurgitated blood on pressure and velocity at the outflow tracts. The model reduction approach is further tested by performing patient simulations under exercise and varying degrees of pathophysiological conditions based on reduction of reference solutions (rest and medium backflow conditions respectively).
authors.affiliation: INRIA Paris-Rocquencourt, 78153 Le Chesnay Cedex, France; UPMC Université Paris 6, Laboratoire Jacques-Louis Lions, 75005 Paris, France.
authors.forename: Romain
authors.initials: R
authors.lastname: Guibert
authors.forename: Kristin
authors.initials: K
authors.lastname: McLeod
authors.forename: Alfonso
authors.initials: A
authors.lastname: Caiazzo
authors.forename: Tommaso
authors.initials: T
authors.lastname: Mansi
authors.forename: Miguel A
authors.initials: MA
authors.lastname: Fernández
authors.forename: Maxime
authors.initials: M
authors.lastname: Sermesant
authors.forename: Xavier
authors.initials: X
authors.lastname: Pennec
authors.forename: Irene E
authors.initials: IE
authors.lastname: Vignon-Clementel
authors.forename: Younes
authors.initials: Y
authors.lastname: Boudjemline
authors.forename: Jean-Frédéric
authors.initials: JF
authors.lastname: Gerbeau
mesh_terms: D000465:Algorithms; D001783:Blood Flow Velocity; D003198:Computer Simulation; D006801:Humans; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D019028:Magnetic Resonance Imaging, Cine / Q000379:methods*; D008955:Models, Cardiovascular; D015233:Models, Statistical; D011651:Pulmonary Artery / Q000473:pathology / Q000503:physiopathology*; D011652:Pulmonary Circulation; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D013771:Tetralogy of Fallot / Q000473:pathology / Q000503:physiopathology*
keywords: Atlas construction; Computational fluid dynamics; Proper orthogonal decomposition; Pulmonary artery; Tetralogy of Fallot