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The Fast and Slow Wave Propagation in Cancellous Bone: Experiments and Simulations

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Bone Quantitative Ultrasound

Abstract

Cancellous bone consists of a complex solid trabecular network structure filled with soft bone marrow. The use of a short and broadband ultrasound incident pulse enables the experimental observation of a two longitudinal wave phenomenon, consistently with Biot’s prediction for porous media. This chapter is a review of the experimental studies and discusses theoretical interpretations, including the Biot’s theory and modified Biot’s models. The inhomogeneous nature of cancellous bone often results in some discrepancies between theory and experimental results. However, the two-wave phenomenon may provide detailed information on the structure and characteristics of cancellous bone, beyond conventional quantitative ultrasound (QUS) parameters. In order to understand this complex wave propagation in cancellous bone, numerical simulations offer an interesting and powerful alternative to intractable analytical approaches. Recent progress in computer performances enables the visualization of wave propagation using for example finite difference numerical methods, combined with three-dimensional numerical models of actual cancellous bone structures. In addition, the numerical investigation using virtual trabecular structures brings insightful view into the two-wave phenomenon, which cannot be obtained using the experiments. Finally, this chapter also refers to a new in vivo technique based on the two-wave phenomenon.

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Authors and Affiliations

  1. Akashi National College of Technology, 679-3 Nishioka, Uozumi, 674-8501, Akashi, Japan

    Atsushi Hosokawa

  2. Kobe City College of Technology, 8-3 Gakuenhigashi, Nishiku, 651-2194, Kobe, Japan

    Yoshiki Nagatani

  3. Doshisha University, 1-3 Tatara Miyakodani, 610-0321, Kyotanabe, Japan

    Mami Matsukawa

Authors
  1. Atsushi Hosokawa
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  2. Yoshiki Nagatani
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  3. Mami Matsukawa
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Correspondence to Atsushi Hosokawa .

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Editors and Affiliations

  1. UMR CNRS, Labo. d'Imagerie Parametrique, Université Paris VI, rue de L'Ecole de Medecine 15, Paris, 75006, France

    Pascal Laugier

  2. , Labortatoire Modélisation Simulation Mul, CNRS, Avenue du Général de Gaulle, Créteil, 94010, France

    Guillaume Haïat

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Hosokawa, A., Nagatani, Y., Matsukawa, M. (2011). The Fast and Slow Wave Propagation in Cancellous Bone: Experiments and Simulations. In: Laugier, P., Haïat, G. (eds) Bone Quantitative Ultrasound. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0017-8_11

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