Comptes Rendus
no. 7-8
Reconstruction of viscoelastic tissue properties from MR elastography-type measurements
[Reconstruction des propriétés viscoélastiques des tissus utilisant des mesures d'élastographie par résonance magnétique]
Huina Yuan1  ; Bojan B. Guzina1
1 Department of Civil Engineering, University of Minnesota, Minneapolis, MN 55455, USA
Comptes Rendus. Mécanique, Volume 338 (2010) no. 7-8, pp. 480-488.

L'objet de cette étude est l'identification des propriétés viscoélastiques « ambiantes » d'un tissu mou par un processus d'optimisation reposant sur des mesures fournies par élastographie par résonance magnétique (IRM). Dans cette approche, les déplacements triaxiaux au sein du tissu (mesurés par le scanner IRM) dans un sous domaine d'intérêt, sans hétérogénéités majeures, sont séparés en (i) données de frontière utilisées pour formuler le problème (Dirichlet) direct, et (ii) mesures internes constituant les « données » pour le problème inverse (de caractérisation des matériaux). Pour une performance accrue de l'algorithme de minimisation, les sensibilités matériaux de la fonction coût considérée sont calculées semi-analytiquement par une formulation d'intégrales de frontières aboutissant à des formules de sensibilités reposant sur des champs « direct » et adjoint. Les résultats numériques, obtenus en utilisant des paramètres pertinents pour l'élastographie par résonance magnétique, montrent que l'approche proposée peut constituer un moyen efficace pour une caractérisation multi-fréquentielle exhaustive de la viscoélasticité « ambiante » des tissus mous.

This study is concerned with an optimization-based approach to the identification of “background” viscoelastic properties of soft tissues from magnetic resonance (MR) elastography-type measurements. In this approach, the triaxial tissue displacements, captured by the MR scanner over a suitable subdomain that is free of major heterogeneities, are split into (i) a boundary subset that is used to formulate the forward (Dirichlet) problem, and (ii) an internal subset, employed as “the data” for the inverse (material characterization) problem. For an elevated performance of the minimization scheme, material sensitivities of the featured cost functional are computed semi-analytically via a boundary-integral formulation, resulting in alternative “direct” and adjoint-field sensitivity formulas. The numerical results, obtained assuming input parameters that are relevant to MR elastography, indicate that the proposed approach may provide an effective means for comprehensive multi-frequency characterization of the “background” viscoelasticity of soft tissues.

Publié le :
DOI : 10.1016/j.crme.2010.07.005
Keywords: MR elastography, Viscoelastic tissue characterization, Optimization, Material sensitivities, Adjoint field
Mot clés : Élastographie par résonance magnétique, Caractérisation de tissus viscoélastiques, Optimisation, Sensibilité matérielle, Champ adjoint
Huina Yuan 1 ; Bojan B. Guzina 1

1 Department of Civil Engineering, University of Minnesota, Minneapolis, MN 55455, USA 
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Huina Yuan; Bojan B. Guzina. Reconstruction of viscoelastic tissue properties from MR elastography-type measurements. Comptes Rendus. Mécanique, Volume 338 (2010) no. 7-8, pp. 480-488. doi : 10.1016/j.crme.2010.07.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.07.005/

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