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Inverse modelling of an aneurysm's stiffness using surrogate-based optimization and fluid-structure interaction simulations

Joris Degroote (UGent) , Ivo Couckuyt (UGent) , Jan Vierendeels (UGent) , Patrick Segers (UGent) and Tom Dhaene (UGent)
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Abstract
Characterization of the mechanical properties of arterial tissues is highly relevant. In this work, we apply an inverse modelling approach to a model accounting for an aneurysm and the distal part of the circulation which can be modified using two independent stiffness parameters. For given values of these parameters, the position of the arterial wall as a function of time is calculated using a forward simulation which takes the fluid-structure interaction (FSI) into account. Using this forward simulation, the correct values of the stiffness parameters are obtained by minimizing a cost function, which is defined as the difference between the forward simulation and a measurement. The minimization is performed by means of surrogate-based optimization using a Kriging model combined with the expected improvement infill criterion. The results show that the stiffness parameters converge to the correct values, both for a zero-dimensional and for a three-dimensional model of the aneurysm.
Keywords
DESIGN, Fluid-structure interaction, EVOLUTIONARY OPTIMIZATION, Aneurysm, Parameter identification, Inverse problem, Surrogate model, Expected improvement, STABILITY

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Citation

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MLA
Degroote, Joris, Ivo Couckuyt, Jan Vierendeels, et al. “Inverse Modelling of an Aneurysm’s Stiffness Using Surrogate-based Optimization and Fluid-structure Interaction Simulations.” STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION 46.3 (2012): 457–469. Print.
APA
Degroote, Joris, Couckuyt, I., Vierendeels, J., Segers, P., & Dhaene, T. (2012). Inverse modelling of an aneurysm’s stiffness using surrogate-based optimization and fluid-structure interaction simulations. STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 46(3), 457–469.
Chicago author-date
Degroote, Joris, Ivo Couckuyt, Jan Vierendeels, Patrick Segers, and Tom Dhaene. 2012. “Inverse Modelling of an Aneurysm’s Stiffness Using Surrogate-based Optimization and Fluid-structure Interaction Simulations.” Structural and Multidisciplinary Optimization 46 (3): 457–469.
Chicago author-date (all authors)
Degroote, Joris, Ivo Couckuyt, Jan Vierendeels, Patrick Segers, and Tom Dhaene. 2012. “Inverse Modelling of an Aneurysm’s Stiffness Using Surrogate-based Optimization and Fluid-structure Interaction Simulations.” Structural and Multidisciplinary Optimization 46 (3): 457–469.
Vancouver
1.
Degroote J, Couckuyt I, Vierendeels J, Segers P, Dhaene T. Inverse modelling of an aneurysm’s stiffness using surrogate-based optimization and fluid-structure interaction simulations. STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION. 2012;46(3):457–69.
IEEE
[1]
J. Degroote, I. Couckuyt, J. Vierendeels, P. Segers, and T. Dhaene, “Inverse modelling of an aneurysm’s stiffness using surrogate-based optimization and fluid-structure interaction simulations,” STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, vol. 46, no. 3, pp. 457–469, 2012.
@article{3098386,
  abstract     = {{Characterization of the mechanical properties of arterial tissues is highly relevant. In this work, we apply an inverse modelling approach to a model accounting for an aneurysm and the distal part of the circulation which can be modified using two independent stiffness parameters. For given values of these parameters, the position of the arterial wall as a function of time is calculated using a forward simulation which takes the fluid-structure interaction (FSI) into account. Using this forward simulation, the correct values of the stiffness parameters are obtained by minimizing a cost function, which is defined as the difference between the forward simulation and a measurement. The minimization is performed by means of surrogate-based optimization using a Kriging model combined with the expected improvement infill criterion. The results show that the stiffness parameters converge to the correct values, both for a zero-dimensional and for a three-dimensional model of the aneurysm.}},
  author       = {{Degroote, Joris and Couckuyt, Ivo and Vierendeels, Jan and Segers, Patrick and Dhaene, Tom}},
  issn         = {{1615-147X}},
  journal      = {{STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION}},
  keywords     = {{DESIGN,Fluid-structure interaction,EVOLUTIONARY OPTIMIZATION,Aneurysm,Parameter identification,Inverse problem,Surrogate model,Expected improvement,STABILITY}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{457--469}},
  title        = {{Inverse modelling of an aneurysm's stiffness using surrogate-based optimization and fluid-structure interaction simulations}},
  url          = {{http://dx.doi.org/10.1007/s00158-011-0751-7}},
  volume       = {{46}},
  year         = {{2012}},
}

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