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Computer Methods in Biomechanics and Biomedical Engineering Volume 11, 2008 - Issue 2
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Original Articles

Derivation of the mesoscopic elasticity tensor of cortical bone from quantitative impedance images at the micron scale

Quentin Grimal Laboratoire d'Imagerie Paramétrique, Université Pierre et Marie Curie-Paris6, Paris, F-75005, France
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CNRS, LIP, Paris, F-75006, FranceCorrespondence[email protected]
,
Kay Raum Q-BAM Group, Department of Orthopedics, Martin-Luther-Universität Halle-Wittenberg, Magdeburger Straße 22, 06097, Halle (Saale), GermanyView further author information
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Alf Gerisch Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg, Postfach, D-06099, Halle (Saale), GermanyView further author information
&
Pascal Laugier Laboratoire d'Imagerie Paramétrique, Université Pierre et Marie Curie-Paris6, Paris, F-75005, France; CNRS, LIP, Paris, F-75006, FranceView further author information
Pages 147-157 | Received 07 Dec 2006, Accepted 23 Jul 2007, Published online: 22 Feb 2008

Citations (21)

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Daniel Rohrbach, Quentin Grimal, Peter Varga, Francoise Peyrin, Max Langer, Pascal Laugier & Kay Raum. (2015) Distribution of mesoscale elastic properties and mass density in the human femoral shaft. Connective Tissue Research 56:2, pages 120-132.
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Articles from other publishers (20)

Christian Hellmich, Niketa Ukaj, Bart Smeets, Hans van Oosterwyck, Nenad Filipovic, Luis Zelaya-Lainez, Johannes Kalliauer & Stefan Scheiner. (2022) Hierarchical Biomechanics: Concepts, Bone as Prominent Example, and Perspectives Beyond. Applied Mechanics Reviews 74:3.
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Luc Brémaud, Xiran Cai, Renald Brenner & Quentin Grimal. (2021) Maximum effect of the heterogeneity of tissue mineralization on the effective cortical bone elastic properties. Biomechanics and Modeling in Mechanobiology 20:4, pages 1509-1518.
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Adair Roberto Aguiar, Edmar Borges Theóphilo Prado & Uziel Paulo da Silva. (2020) Analysis of Boundary Layer Influence on Effective Shear Modulus of 3-1 Longitudinally Porous Elastic Solid. Latin American Journal of Solids and Structures 17:8.
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Q. Grimal & P. Laugier. (2019) Quantitative Ultrasound Assessment of Cortical Bone Properties Beyond Bone Mineral Density. IRBM 40:1, pages 16-24.
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Kay Raum, Quentin Grimal, Peter Varga, Reinhard Barkmann, Claus C. Glüer & Pascal Laugier. (2014) Ultrasound to Assess Bone Quality. Current Osteoporosis Reports 12:2, pages 154-162.
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Quentin Grimal, Daniel Rohrbach, Julien Grondin, Reinhard Barkmann, Claus-C. Glüer, Kay Raum & Pascal Laugier. (2014) Modeling of Femoral Neck Cortical Bone for the Numerical Simulation of Ultrasound Propagation. Ultrasound in Medicine & Biology 40:5, pages 1015-1026.
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M.K.H. Malo, D. Rohrbach, H. Isaksson, J. Töyräs, J.S. Jurvelin, I.S. Tamminen, H. Kröger & K. Raum. (2013) Longitudinal elastic properties and porosity of cortical bone tissue vary with age in human proximal femur. Bone 53:2, pages 451-458.
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Pascal Laugier, Amena Saïed, Mathilde Granke & Kay Raum. 2013. Advances in Acoustic Microscopy and High Resolution Imaging. Advances in Acoustic Microscopy and High Resolution Imaging 207 230 .
J. W. Fernandez, R. Das, P. W. Cleary, P. J. Hunter, C. D .L. Thomas & J. G. Clement. (2013) Using smooth particle hydrodynamics to investigate femoral cortical bone remodelling at the Haversian level. International Journal for Numerical Methods in Biomedical Engineering 29:1, pages 129-143.
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Daniel Rohrbach, Sannachi Lakshmanan, Françoise Peyrin, Max Langer, Alf Gerisch, Quentin Grimal, Pascal Laugier & Kay Raum. (2012) Spatial distribution of tissue level properties in a human femoral cortical bone. Journal of Biomechanics 45:13, pages 2264-2270.
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William J. Parnell, M. B. Vu, Q. Grimal & S. Naili. (2011) Analytical methods to determine the effective mesoscopic and macroscopic elastic properties of cortical bone. Biomechanics and Modeling in Mechanobiology 11:6, pages 883-901.
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Quentin Grimal, Kay Raum, Alf Gerisch & Pascal Laugier. (2011) A determination of the minimum sizes of representative volume elements for the prediction of cortical bone elastic properties. Biomechanics and Modeling in Mechanobiology 10:6, pages 925-937.
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Mathilde Granke, Quentin Grimal, Amena Saïed, Pierre Nauleau, Françoise Peyrin & Pascal Laugier. (2011) Change in porosity is the major determinant of the variation of cortical bone elasticity at the millimeter scale in aged women. Bone 49:5, pages 1020-1026.
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Quentin Grimal, Guillermo Rus, William J. Parnell & Pascal Laugier. (2011) A two-parameter model of the effective elastic tensor for cortical bone. Journal of Biomechanics 44:8, pages 1621-1625.
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Bernd Preininger, Sara Checa, Ferenc L. Molnar, Peter Fratzl, Georg N. Duda & Kay Raum. (2011) Spatial-Temporal Mapping of Bone Structural and Elastic Properties in a Sheep Model Following Osteotomy. Ultrasound in Medicine & Biology 37:3, pages 474-483.
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Emmanuel Bossy & Quentin Grimal. 2011. Bone Quantitative Ultrasound. Bone Quantitative Ultrasound 181 228 .
Kay Raum. 2011. Bone Quantitative Ultrasound. Bone Quantitative Ultrasound 409 439 .
. (2010) Bildgebung und Bildverarbeitung. Biomedizinische Technik/Biomedical Engineering 55:s1, pages 1-264.
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K. Raum. (2008) Microelastic imaging of bone. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control 55:7, pages 1417-1431.
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A. Saïed, K. Raum, I. Leguerney & P. Laugier. (2008) Spatial distribution of anisotropic acoustic impedance assessed by time-resolved 50-MHz scanning acoustic microscopy and its relation to porosity in human cortical bone. Bone 43:1, pages 187-194.
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