Bone Quantitative Ultrasound

Quantitative ultrasound (QUS) of bone is a relatively recent research field. The research community is steadily growing, with interdisciplinary branches in acoustics, medical imaging, biomechanics, biomedical engineering, applied mathematics, bone biology

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Pascal Laugier



Guillaume Ha¨ıat

Editors

Bone Quantitative Ultrasound

ABC

Editors Pascal Laugier Universit´e Pierre et Marie Curie CNRS Laboratoire d’Imagerie Parametrique 15, rue de L’Ecole de Medecine 75006 Paris France [email protected]

Guillaume Ha¨ıat CNRS B2OA UMR 7052 10, avenue de Verdun 75010 Paris France [email protected]

ISBN 978-94-007-0016-1 e-ISBN 978-94-007-0017-8 DOI 10.1007/978-94-007-0017-8 Springer Dordrecht Heidelberg London New York c Springer Science+Business Media B.V. 2011  No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Contents

Introduction . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . vii Pascal Laugier and Guillaume Ha¨ıat 1

Bone Overview .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . David Mitton, Christian Roux, and Pascal Laugier

1

2

Introduction to the Physics of Ultrasound . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . 29 Pascal Laugier and Guillaume Ha¨ıat

3

Quantitative Ultrasound Instrumentation for Bone In Vivo Characterization .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . 47 Pascal Laugier

4

Clinical Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . 73 Reinhard Barkmann and Claus-C. Gl¨uer

5

Poromechanical Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . 83 Michal Pakula, Mariusz Kaczmarek, and Frederic Padilla

6

Scattering by Trabecular Bone . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . .123 Fr´ed´eric Padilla and Keith Wear

7

Guided Waves in Cortical Bone .. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . .147 Maryline Talmant, Josquin Foiret, and Jean-Gabriel Minonzio

8

Numerical Methods for Ultrasonic Bone Characterization .. . . . . . . . . . . . .181 Emmanuel Bossy and Quentin Grimal

9

Homogenization Theories and Inverse Problems . . . . . . . .. . . . . . . . . . . . . . . . .229 Robert P. Gilbert, Ana Vasilic, and Sandra Ilic

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vi

Contents

10 Linear Acoustics of Trabecular Bone . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . .265 Janne P. Karjalainen, Ossi Riekkinen, Juha T¨oyr¨as, and Jukka S. Jurvelin 11 The Fast and Slow Wave Propagation in Cancellous Bon