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Sequential parameter estimation for fluid-structure problems: application to hemodynamics.

Cristóbal Bertoglio1, Philippe Moireau, Jean-Frederic Gerbeau

  • 1INRIA Paris-Rocquencourt, BP 105, F-78153, Le Chesnay Cedex, France.

International Journal for Numerical Methods in Biomedical Engineering
|November 4, 2014
PubMed
Summary
This summary is machine-generated.

We developed an efficient parameter estimation method for fluid-structure interaction using a reduced-order unscented Kalman filter. This approach accurately estimates artery wall stiffness and Windkessel resistance, crucial for medical simulations.

Keywords:
arterial stiffness estimationfluid-structure interactioninverse problemreduced-order unscented Kalman filter

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Area of Science:

  • Computational fluid dynamics
  • Biomedical engineering
  • Parameter estimation

Background:

  • Fluid-structure interaction (FSI) problems are computationally intensive.
  • Accurate parameter estimation is vital for FSI model validation and prediction.
  • Existing methods often require costly adjoint or tangent simulations.

Purpose of the Study:

  • To present a computationally efficient and robust parameter estimation strategy for FSI problems.
  • To introduce the reduced-order unscented Kalman filter (ROUKF) for FSI parameter estimation.
  • To demonstrate the applicability of the ROUKF in a biomedical context.

Main Methods:

  • Implementation of a reduced-order unscented Kalman filter (ROUKF) operating in the parameter space.
  • Avoidance of computationally expensive adjoint or tangent problem formulations.
  • Parallelization capabilities for enhanced computational efficiency.

Main Results:

  • Successful estimation of artery wall stiffness from simulated medical imaging data in a 3D abdominal aortic aneurysm model.
  • Demonstration of preliminary results for estimating proximal Windkessel resistance.
  • Validation of the ROUKF's efficiency and robustness in complex FSI scenarios.

Conclusions:

  • The ROUKF offers a computationally efficient and robust alternative for parameter estimation in FSI.
  • The method shows promise for applications in biomedical engineering, particularly in cardiovascular modeling.
  • Accurate estimation of parameters like artery stiffness and Windkessel resistance is achievable with this approach.