Abstract
Quantitative ultrasound has been used as a monitoring means of osteoporosis and fracture healing by several research groups worldwide applying experimental and computational techniques. However, fracture healing is a complex biological process and an interdisciplinary knowledge is required to fully comprehend the pathways of bone regeneration and gene expression as well as the structural and material changes occurring at different healing stages. Over the last decade, the incorporation of computational tools and the illustration of bone microstructure and material properties at different hierarchical levels using micro-computed tomography and scanning acoustic microscopy (SAM) have paved the way for the investigation of complex wave propagation phenomena which cannot be observed via traditional experimental procedures. In this study, we use the boundary element method to perform simulations of ultrasound propagation at successive bone healing stages. Bone healing is simulated as a three stage process and numerical models are established based on SAM images derived from week 3, week 6 and week 9 after the osteotomy. Callus is considered as a two-dimensional medium and its composite nature is integrated in the models via the combination of SAM images and an iterative effective medium approximation. We use a plane wave excitation at 1 MHz to investigate the interaction with cortical and callus tissues. The scattering amplitude variation is calculated in the backward and forward direction, as well. It was found that the scattering amplitude derived from appropriate directions and excitation frequencies could convey significant quantitative information for the evaluation of fracture healing.
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References
Protopappas, V.C., Kourtis, I.C., Kourtis, L.C., Malizos, K.N., Massalas, C.V., Fotiadis, D.I.: Three dimensional finite element modeling of guided ultrasound wave propagation in intact and healing long bones. J. Accoust. Soc. Am. 121(6), 3907–3921 (2007)
Potsika, V.T., Grivas, Κ.Ν., Protopappas, V.C., Vavva, M.G., Raum, K., Rohrbach, D., Polyzos, D., Fotiadis, D.I.: Application of an effective medium theory for modeling ultrasound wave propagation in healing long bones. Ultrasonics 54(5), 1219–1230 (2014)
Hoffmeister, B.K., Holt, A.P., Kaste, S.C.: Effect of the cortex on ultrasonic backscatterer measurements of cancellous bone. Phys. Med. Biol. 56(19), 6243–6255 (2011)
Hoffmeister, B.K., Wilson, A.R., Gilbert, M.J., Sellers, M.E.: A backscatter difference technique for ultrasonic bone assessment. J. Accoust. Soc. Am. 132(6), 4069–4076 (2012)
Padilla, F., Peyrin, F., Laugier, P.: Prediction of frequency-dependent ultrasonic backscatter in cancellous bone using statistical weak scattering model. J. Accoust. Soc. Am. 29(3), 1122–1129 (2002)
Potsika, V.T., Gortsas, T., Protopappas, V.C., Polyzos, D.K., Fotiadis, D.I.: Computational modeling of ultrasonic backscattering to evaluate fracture healing. In: 37th Annual International Conference of the IEEE EMBS (2015)
Bourgnon, A., Sitzer, A., Chabraborty, A., Rohde, K., Varga, P., Wendlandt, R., Raum, K.: Impact of microscale properties measured by 50-MHz acoustic microscopy on mesoscale elastic and ultimate mechanical cortical bone properties. In: Proceedings of IEEE International Ultrasonics Symposium, Chicago, IL, USA, pp. 636–638, 3–6 September 2014
Gortsas, T., Grivas, K., Polyzos, D., Potsika, V., Protopappas, V., Fotiadis, D., Raum, K.: The effect of cortical bone porosity on ultrasonic backscattering parameters. In: Proceedings of the IEEE 6th ESUCB, Corfu, Greece, 10–12 June 2015
Iori, G., Raum, K., Potsika, V., Gortsas, T., Fotiadis, D.: High-frequency cortical backscatter reveals cortical microstructure – a simulation study. In: Proceedings of the IEEE 6th ESUCB, Corfu, Greece, 10–12 June 2015
Preininger, B., Checa, S., Molnar, F.L., Fratzl, P., Duda, G.N., Raum, K.: Spatial-temporal mapping of bone structural and elastic properties in a sheep model following osteotomy. Ultrasound Med. Biol. 37(3), 474–483 (2011)
Wear, K.: Frequency dependence of ultrasonic backscatter from human trabecular bone: theory and experiment. J. Accoust. Soc. Am. 106(6), 3659–3664 (1999)
Karjalainen, J.P., Töyräs, J., Riekkinen, O., Hakulinen, M., Jurvelin, J.S.: Ultrasound backscatter imaging provides frequency-dependent information on structure, composition and mechanical properties of human trabecular bone. Ultrasound Med. Biol. 35(8), 1376–1384 (2007)
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Potsika, V.T., Grivas, K.N., Gortsas, T., Protopappas, V.C., Polyzos, D., Fotiadis, D.I. (2016). Numerical Simulation of Ultrasonic Backscattering During Fracture Healing Using Numerical Models Based on Scanning Acoustic Microscopy Images. In: Tsaftaris, S., Gooya, A., Frangi, A., Prince, J. (eds) Simulation and Synthesis in Medical Imaging. SASHIMI 2016. Lecture Notes in Computer Science(), vol 9968. Springer, Cham. https://doi.org/10.1007/978-3-319-46630-9_6
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DOI: https://doi.org/10.1007/978-3-319-46630-9_6
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