Abstract
Shear wave elastography (SWE) is a promising tool to quantify tissue stiffness variations with increasing applications in tissue characterization. In SWE, the tissue is excited by an acoustic radiation force pulse sequence induced by an ultrasound probe. The generated shear waves propagate laterally away from the push location. The shear wave speed (SWS) can be measured to estimate elasticity, which is a physical property that can be used to characterize the tissue. SWS estimation requires two steps: speckle tracking from radiofrequency (RF)/IQ data to obtain particle displacement or velocity, and SWS estimation from the estimated velocity, which aims to find the speed of wave propagating in the lateral direction. The SWS can be calculated by comparing the velocity-time profiles at two locations separated by a few millimeters. In the supervised deep learning methods of SWS estimation, simulation data generated by finite element analysis is employed to train the network. However, the computational cost and complexity of modeling the wave propagation contribute to the limited practicality of supervised methods. In this paper, we present an unsupervised physics-inspired learning method for SWS estimation using equations governing the wave propagation in a viscoelastic medium. The proposed method does not require any finite element simulated data, and training data is synthetically generated using forward modeling of the wave propagation equation. Furthermore, unlabeled experimental data is utilized to train/fine-tune the network. We validated the proposed method using experimental data imaged by different machines and data created by placing pork fat on top of a phantom. The findings validate that the suggested approach can demonstrate comparable (or superior) performance compared to the traditional cross-correlation method.
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05 October 2024
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References
Ahmed, S., Kamal, U., Hasan, M.K.: Dswe-net: A deep learning approach for shear wave elastography and lesion segmentation using single push acoustic radiation force. Ultrasonics 110, 106283 (2021)
Ashikuzzaman, M., Héroux, A., Tang, A., Cloutier, G., Rivaz, H.: Displacement tracking techniques in ultrasound elastography: From cross-correlation to deep learning. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control (2024)
Bamber, J., Cosgrove, D., Dietrich, C.F., Fromageau, J., Bojunga, J., Calliada, F., Cantisani, V., Correas, J.M., D’Onofrio, M., Drakonaki, E., et al.: Efsumb guidelines and recommendations on the clinical use of ultrasound elastography. part 1: Basic principles and technology. Ultraschall in der Medizin-European Journal of Ultrasound 34(02), 169–184 (2013)
Bhatt, M., Moussu, M.A., Chayer, B., Destrempes, F., Gesnik, M., Allard, L., Tang, A., Cloutier, G.: Reconstruction of viscosity maps in ultrasound shear wave elastography. IEEE transactions on ultrasonics, ferroelectrics, and frequency control 66(6), 1065–1078 (2019)
Bhatt, M., Yazdani, L., Destrempes, F., Allard, L., Nguyen, B.N., Tang, A., Cloutier, G.: Multiparametric in vivo ultrasound shear wave viscoelastography on farm-raised fatty duck livers: human radiology imaging applied to food sciences. Poultry science 100(4), 100968 (2021)
Chan, D.Y., Morris, D.C., Polascik, T.J., Palmeri, M.L., Nightingale, K.R.: Deep convolutional neural networks for displacement estimation in arfi imaging. IEEE transactions on ultrasonics, ferroelectrics, and frequency control 68(7), 2472–2481 (2021)
Chen, X.: Enhancing ultrasound shear-wave viscoelastography by advanced signal processing and deep learning. Ph.D. dissertation, Eindhoven University of Technology (2024)
Delaunay, R., Hu, Y., Vercauteren, T.: An unsupervised learning-based shear wave tracking method for ultrasound elastography. In: Medical Imaging 2022: Ultrasonic Imaging and Tomography. vol. 12038, pp. 149–155. SPIE (2022)
Jin, F.Q., Carlson, L.C., Feltovich, H., Hall, T.J., Palmeri, M.L.: Sweinet: Deep learning based uncertainty quantification for ultrasound shear wave elasticity imaging. arXiv preprint arXiv:2203.10678 (2022)
Kasai, C., Namekawa, K., Koyano, A., Omoto, R.: Real-time two-dimensional blood flow imaging using an autocorrelation technique. IEEE Transactions on sonics and ultrasonics 32(3), 458–464 (1985)
Loshchilov, I., Hutter, F.: Decoupled weight decay regularization. arXiv preprint arXiv:1711.05101 (2017)
Meister, S., Hur, J., Roth, S.: Unflow: Unsupervised learning of optical flow with a bidirectional census loss. In: Proceedings of the AAAI conference on artificial intelligence. vol. 32 (2018)
Neidhardt, M., Bengs, M., Latus, S., Gerlach, S., Cyron, C.J., Sprenger, J., Schlaefer, A.: Ultrasound shear wave elasticity imaging with spatio-temporal deep learning. IEEE Transactions on Biomedical Engineering 69(11), 3356–3364 (2022)
Nightingale, K.R., Palmeri, M.L., Nightingale, R.W., Trahey, G.E.: On the feasibility of remote palpation using acoustic radiation force. The Journal of the Acoustical Society of America 110(1), 625–634 (2001)
Pinton, G.F., Dahl, J.J., Trahey, G.E.: Rapid tracking of small displacements with ultrasound. IEEE transactions on ultrasonics, ferroelectrics, and frequency control 53(6), 1103–1117 (2006)
Shiina, T., Nightingale, K.R., Palmeri, M.L., Hall, T.J., Bamber, J.C., Barr, R.G., Castera, L., Choi, B.I., Chou, Y.H., Cosgrove, D., et al.: Wfumb guidelines and recommendations for clinical use of ultrasound elastography: Part 1: basic principles and terminology. Ultrasound in medicine & biology 41(5), 1126–1147 (2015)
van Sloun, R.J., Wildeboer, R.R., Wijkstra, H., Mischi, M.: Viscoelasticity mapping by identification of local shear wave dynamics. IEEE transactions on ultrasonics, ferroelectrics, and frequency control 64(11), 1666–1673 (2017)
Song, P., Urban, M.W., Manduca, A., Greenleaf, J.F., Chen, S.: Coded excitation plane wave imaging for shear wave motion detection. IEEE transactions on ultrasonics, ferroelectrics, and frequency control 62(7), 1356–1372 (2015)
Song, P., Zhao, H., Urban, M.W., Manduca, A., Pislaru, S.V., Kinnick, R.R., Pislaru, C., Greenleaf, J.F., Chen, S.: Improved shear wave motion detection using pulse-inversion harmonic imaging with a phased array transducer. IEEE transactions on medical imaging 32(12), 2299–2310 (2013)
Tehrani, A.K., Ashikuzzaman, M., Rivaz, H.: Lateral strain imaging using self-supervised and physically inspired constraints in unsupervised regularized elastography. IEEE Transactions on Medical Imaging 42(5), 1462–1471 (2022)
Tehrani, A.K., Dayavansha, E.S., Gu, Y., Jakovljevic, M., Wang, M., Tadross, R., Rivaz, H., Thomenius, K., Samir, A.E.: Advancements in shear wave elastography with neural networks and multi-resolution approaches. In: 2023 IEEE International Ultrasonics Symposium (IUS). pp. 1–4. IEEE (2023)
Tehrani, A.K., Rivaz, H.: Displacement estimation in ultrasound elastography using pyramidal convolutional neural network. IEEE transactions on ultrasonics, ferroelectrics, and frequency control 67(12), 2629–2639 (2020)
Wiseman, L.M., Urban, M.W., McGough, R.J.: A parametric evaluation of shear wave speeds estimated with time-of-flight calculations in viscoelastic media. The Journal of the Acoustical Society of America 148(3), 1349–1371 (2020)
Acknowledgments
We acknowledge the support by GE Healthcare, Government of Canada’s New Frontiers in Research Fund (NFRF), [NFRFE-2022-00295] and Natural Sciences and Engineering Research Council of Canada (NSERC).
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Kafaei Zad Tehrani, A. et al. (2025). Unsupervised Physics-Inspired Shear Wave Speed Estimation in Ultrasound Elastography. In: Gomez, A., Khanal, B., King, A., Namburete, A. (eds) Simplifying Medical Ultrasound. ASMUS 2024. Lecture Notes in Computer Science, vol 15186. Springer, Cham. https://doi.org/10.1007/978-3-031-73647-6_1
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