title: Sequential parameter estimation for fluid-structure problems: application to hemodynamics.
abstract: We present a robust and computationally efficient parameter estimation strategy for fluid-structure interaction problems. The method is based on a filtering algorithm restricted to the parameter space, known as the reduced-order unscented Kalman filter. It does not require any adjoint or tangent problems. In addition, it can easily be run in parallel, which is of great interest in fluid-structure problems where the computational cost of the forward simulation is already a challenge in itself. We illustrate our methodology with the estimation of the artery wall stiffness from the wall displacement measurements - as they could be extracted from medical imaging - in a three-dimensional idealized abdominal aortic aneurysm. We also show preliminary results about the estimation of the proximal Windkessel resistance, which is an important parameter for setting appropriate fluid boundary conditions.
authors.affiliation: INRIA Paris-Rocquencourt, BP 105, F-78153, Le Chesnay Cedex, France.
authors.forename: Cristóbal
authors.initials: C
authors.lastname: Bertoglio
authors.forename: Philippe
authors.initials: P
authors.lastname: Moireau
authors.forename: Jean-Frederic
authors.initials: JF
authors.lastname: Gerbeau
mesh_terms: D000465:Algorithms; D017544:Aortic Aneurysm, Abdominal / Q000503:physiopathology*; D006439:Hemodynamics / Q000502:physiology*; D006801:Humans; D008955:Models, Cardiovascular; D059289:Vascular Stiffness / Q000502:physiology
keywords: arterial stiffness estimation; fluid-structure interaction; inverse problem; reduced-order unscented Kalman filter