Elasticity reconstruction: Beyond the assumption of local homogeneity

Ralph Sinkus; Jean-Luc Daire; Bernard E. Van Beers; Valerie Vilgrain

doi:10.1016/j.crme.2010.07.014

Elasticity reconstruction: Beyond the assumption of local homogeneity

Ralph Sinkus ¹ ; Jean-Luc Daire ²; Bernard E. Van Beers ²; Valerie Vilgrain ²

¹ Institut Langevin, ESPCI, 10, rue Vauquelin, 75005 Paris, France
² Centre de recherches biomédicales Bichat-Beaujon, 75018 Paris, France

Comptes Rendus. Mécanique, Inverse problems, Volume 338 (2010) no. 7-8, pp. 474-479.

Abstract

Elasticity imaging is a novel domain which is currently gaining significant interest in the medical field. Most inversion techniques are based on the homogeneity assumption, i.e. the local spatial derivatives of the complex-shear modulus are ignored. This analysis presents an analytic approach in order to overcome this limitation, i.e. first order spatial derivatives of the real-part of the complex-shear modulus are taken into account. Resulting distributions in a gauged breast lesion phantom agree very well with the theoretical expectations. An in-vivo example of a cholangiocarcinoma demonstrates that the new approach provides maps of the viscoelastic properties which agree much better with expectations from anatomy.

Published online: 2010-07-01

DOI: 10.1016/j.crme.2010.07.014

Mots-clés : Biomechanics, Elasticity imaging, Inverse problems, Complex-shear modulus, Medical imaging

Author's affiliations:

Ralph Sinkus ¹; Jean-Luc Daire ²; Bernard E. Van Beers ²; Valerie Vilgrain ²

¹ Institut Langevin, ESPCI, 10, rue Vauquelin, 75005 Paris, France
² Centre de recherches biomédicales Bichat-Beaujon, 75018 Paris, France

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     author = {Ralph Sinkus and Jean-Luc Daire and Bernard E. Van Beers and Valerie Vilgrain},
     title = {Elasticity reconstruction: {Beyond} the assumption of local homogeneity},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {474--479},
     publisher = {Elsevier},
     volume = {338},
     number = {7-8},
     year = {2010},
     doi = {10.1016/j.crme.2010.07.014},
     language = {en},
}

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%A Jean-Luc Daire
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Ralph Sinkus; Jean-Luc Daire; Bernard E. Van Beers; Valerie Vilgrain. Elasticity reconstruction: Beyond the assumption of local homogeneity. Comptes Rendus. Mécanique, Inverse problems, Volume 338 (2010) no. 7-8, pp. 474-479. doi : 10.1016/j.crme.2010.07.014. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.07.014/

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