Jpn. J. Appl. Phys. 45 (2006) pp. 7186-7190 |Previous Article| |Next Article| |Table of Contents|
|Full Text PDF (1611K)| |Buy This Article|
Applicability of Finite-Difference Time-Domain Method to Simulation of Wave Propagation in Cancellous Bone
Faculty of Engineering, Doshisha University, 1-3 Tatara-Miyakotani, Kyotanabe, Kyoto 610-0321, Japan
(Received November 30, 2005; accepted May 25, 2006; published online September 7, 2006)
In cancellous bone, longitudinal waves often separate into fast and slow waves depending on the alignment of bone trabeculae. This interesting phenomenon becomes an effective tool for the diagnosis of osteoporosis because wave propagation behavior depends on the bone structure. We have, therefore, simulated wave propagation in such a complex medium by the finite-difference time-domain (FDTD) method, using a three-dimensional X-ray computer tomography (CT) model of an actual cancellous bone. In this simulation, experimentally observed acoustic constants of the cortical bone were adopted. As a result, the generation of fast and slow waves was confirmed. The speed of fast waves and the amplitude of slow waves showed good correlations with the bone volume fraction. The simulated results were also compared with the experimental results obtained from the identical cancellous bone.
- C. F. Njeh, D. Hans and T. Fuerst: Quantitative Ultrasound: Assessment of Osteoporosis and Bone Status (Taylor & Francis, London, 1999) 1st ed.
- A. Hosokawa and T. Otani:
J. Acoust. Soc. Am. 101 (1997) 558[AIP Scitation].
- A. Hosokawa, T. Otani, T. Suzaki, Y. Kubo and S. Takai:
Jpn. J. Appl. Phys. 36 (1997) 3233[JSAP].
- T. Otani:
Jpn. J. Appl. Phys. 44 (2005) 4578[JSAP].
- A. Hosokawa:
J. Acoust. Soc. Am. 118 (2005) 1782[AIP Scitation].
- E. Bossy, F. Padilla, F. Peyrin and P. Laugier: Phys. Med. Biol. 50 (2005) 5545.
- T. Sakaguchi: Dr. Thesis, Faculty of Engineering, Doshisha University, Kyoto, 2002 [in Japanese].
- T. Sakaguchi, T. Hirano, Y. Watanabe, T. Nishimura, H. Hosoi, S. Imaizumi, S. Nakagawa and M. Tonoike:
Jpn. J. Appl. Phys. 41 (2002) 3604[JSAP].
- K. S. Yee: IEEE. Trans. Antenna Propag. 14 (1966) 302.
- R. Uno: FDTD-ho ni yoru Denjikai oyobi Antena Kaiseki (Corona, Tokyo, 1998) p. 50 [in Japanese].
- R. L. Higdon: Math. Comput. 47 (1986) 437.
- Y. Yamato, H. Kataoka, M. Matsukawa, K. Yamazaki, T. Otani and A. Nagano:
Jpn. J. Appl. Phys. 44 (2005) 4622[JSAP].