Propagation of fast and slow waves in cancellous bone: Comparative study of simulation and experiment

Comparative study of longitudinal wave propagation in cancellous bone was performed. We simulated wave propagation with the finite-difference time-domain (FDTD) method using a three-dimensional X-ray computer tomography (CT) model of an actual cancellous bone. We also experimentally measured the waves that propagated in an identical specimen under similar conditions. The speeds of fast waves and the amplitudes of fast and slow waves at small ROIs (region of interest) in the specimen were examined. We found good correlations in fast wave speed and wave amplitudes between simulated and measured data. The peak amplitude ratio of simulated two waves was also similar with the experimental results. These results show the importance of FDTD simulation to understand the wave propagation phenomena in the complicated medium.

[1]  K. Wear.  A stratified model to predict dispersion in trabecular bone , 2001, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[2]  M. Matsukawa,et al.  Effects of structural anisotropy of cancellous bone on speed of ultrasonic fast waves in the bovine femur , 2008, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[3]  M. Sasso,et al.  Dependence of ultrasonic attenuation on bone mass and microstructure in bovine cortical bone. , 2008, Journal of biomechanics.

[4]  Y. Yamato,et al.  Correlation between Hydroxyapatite Crystallite Orientation and Ultrasonic Wave Velocities in Bovine Cortical Bone , 2008, Calcified Tissue International.

[5]  M. Sasso,et al.  Frequency dependence of ultrasonic attenuation in bovine cortical bone: an in vitro study. , 2007, Ultrasound in medicine & biology.

[6]  T. Otani,et al.  Quantitative Estimation of Bone Density and Bone Quality Using Acoustic Parameters of Cancellous Bone for Fast and Slow Waves , 2005 .

[7]  A. Hosokawa,et al.  Ultrasonic wave propagation in bovine cancellous bone. , 1997, The Journal of the Acoustical Society of America.

[8]  A Hosokawa.  Simulation of ultrasound propagation through bovine cancellous bone using elastic and Biot's finite-difference time-domain methods. , 2005, The Journal of the Acoustical Society of America.

[9]  N. Koizumi,et al.  Measurement of Wave Velocity in Bovine Bone Tissue by Micro-Brillouin Scattering , 2008 .

[10]  Hiroshi Hosoi,et al.  Numerical and experimental study on the wave attenuation in bone--FDTD simulation of ultrasound propagation in cancellous bone. , 2008, Ultrasonics.

[11]  R. Higdon.  Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation , 1986 .

[12]  Ultrasonic transmission characteristics of in vitro human cancellous bone , 2007 .

[13]  Eleuterio F. Toro,et al.  Numerical Methods for Wave Propagation , 2011 .

[14]  Gangming Luo,et al.  Ultrasound simulation in bone , 2008, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[15]  Françoise Peyrin,et al.  Variation of Ultrasonic Parameters With Microstructure and Material Properties of Trabecular Bone: A 3D Model Simulation , 2007, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[16]  Maurice A. Biot,et al.  Generalized Theory of Acoustic Propagation in Porous Dissipative Media , 1962 .

[17]  Y. Yamato,et al.  Distribution of Longitudinal Wave Velocities in Bovine Cortical Bone in vitro , 2005 .

[18]  Hirotaka Imaizumi,et al.  Applicability of Finite-Difference Time-Domain Method to Simulation of Wave Propagation in Cancellous Bone , 2006 .

[19]  Harry K. Genant,et al.  Quantitative Ultrasound: Assessment of Osteoporosis and Bone Status , 1999 .

[20]  K. Yee.  Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[21]  E. Bossy,et al.  Three-dimensional simulation of ultrasound propagation through trabecular bone structures measured by synchrotron microtomography , 2005, Physics in medicine and biology.

[22]  V Bousson,et al.  In vitro ultrasonic characterization of human cancellous femoral bone using transmission and backscatter measurements: relationships to bone mineral density. , 2006, The Journal of the Acoustical Society of America.

[23]  C. Langton,et al.  Biot theory: a review of its application to ultrasound propagation through cancellous bone. , 1999, Bone.

[24]  Shinro Takai,et al.  Development of Novel Ultrasonic Bone Densitometry Using Acoustic Parameters of Cancellous Bone for Fast and Slow Waves , 2006 .

[25]  P. Laugier,et al.  In vitro measurement of the frequency-dependent attenuation in cancellous bone between 0.2 and 2 MHz. , 2000, The Journal of the Acoustical Society of America.

[26]  Pascal Laugier,et al.  Simulation of Ultrasound Propagation Through Three-Dimensional Trabecular Bone Structures: Comparison with Experimental Data , 2006 .

[27]  Numerical simulation of ultrasound transmission in cancellous bone , 2005, IEEE Ultrasonics Symposium, 2005..

[28]  Toshikazu Takizawa,et al.  A Study on analysis of intracranial acoustic wave propagation by the finite difference time domain method , 2002 .

[29]  Influences of Trabecular Structure on Ultrasonic Wave Propagation in Bovine Cancellous Bone , 1997 .

[30]  Y. Yamato,et al.  Distribution of longitudinal wave properties in bovine cortical bone in vitro. , 2006, Ultrasonics.