International Journal of Advanced Technology and Engineering Exploration ISSN (Print): 2394-5443    ISSN (Online): 2394-7454 Volume-12 Issue-128 July-2025
  1. 3710
    Citations
  2. 2.7
    CiteScore
Single-crystal ultrasound transducer for cancellous bone health assessment: A k-wave simulation approach

Kiran Dhanaji Kale 1 and Apurva Naik1

Department of Electrical and Electronics Engineering,Dr. Vishwanath Karad MIT World Peace University, Pune,India1
Corresponding Author : Kiran Dhanaji Kale

Recieved : 06-Aug-2024; Revised : 14-Jul-2025; Accepted : 18-Jul-2025

Abstract

In recent decades, ultrasound-based analysis of cancellous bone health has emerged as an affordable and reliable alternative to ionizing radiation-based methods for estimating bone health parameters. The ultrasound probe plays a crucial role in evaluating various parameters of cancellous bone health. A single-crystal element transducer probe was proposed for estimating cancellous bone health parameters. The proposed method utilizes the k-space pseudo-spectral simulation technique available in the k-Wave toolbox. Three-dimensional (3D) cancellous bone phantoms representing healthy and osteoporotic bone samples from the human heel, sacrum, C2, and L3 vertebrae are constructed using 3D reconstruction techniques. Key cancellous bone health parameters, namely time of flight (ToF) and received signal strength, are computed using the k-Wave toolbox. The results demonstrate that the proposed method achieves performance comparable to multi-crystal element transducer-based techniques. Furthermore, the proposed approach has the potential to significantly reduce implementation costs for commercial applications.

Keywords

Ultrasound imaging, Cancellous bone health, Single-crystal transducer, k-Wave simulation, Bone phantom modeling, Time of flight (ToF).

References

[1] Armas LA, Hanson C. Bone health: sound suggestions for stronger bones. In nutrition guide for physicians and related healthcare professionals 2017 (pp. 181-8). Cham: Springer International Publishing.

[2] Aibar-almazán A, Voltes-martínez A, Castellote-caballero Y, Afanador-restrepo DF, Carcelén-fraile MD, López-ruiz E. Current status of the diagnosis and management of osteoporosis. International journal of molecular sciences. 2022; 23(16):1-27.

[3] Li C, Sun J, Yu L. Diagnostic value of calcaneal quantitative ultrasound in the evaluation of osteoporosis in middle-aged and elderly patients. Medicine. 2022; 101(2):1-6.

[4] Zhang L, Du W, Kim JH, Yu CC, Dagdeviren C. An emerging era: conformable ultrasound electronics. Advanced Materials. 2024; 36(8):1-52.

[5] Lye TH, Gachouch O, Renner L, Elezkurtaj S, Cash H, Messroghli D, et al. Quantitative ultrasound assessment of early osteoarthritis in human articular cartilage using a high-frequency linear array transducer. Ultrasound in Medicine & Biology. 2022; 48(8):1429-40.

[6] Asfandiyarov SA, Tsysar SA, Sapozhnikov OA. A multielement low-frequency ultrasonic transducer as a source of high-intensity focused ultrasound in air. Acoustical Physics. 2024; 70(4):759-68.

[7] Zhang Y, Jin T, Deng Y, Zhao Z, Wang R, He Q, et al. A low-voltage-driven MEMS ultrasonic phased-array transducer for fast 3D volumetric imaging. Microsystems & Nanoengineering. 2024; 10(1):1-16.

[8] Ren J, Hong X. Multi-view reconstruction fusing ultrasonic phased array and camera for mobile robots in simulation environment. IEEE Access. 2024; 12:13860-9.

[9] Kirk S. Recent advancements in ultrasound transducer: from material strategies to biomedical applications. BME Frontiers. 2022: 1-19.

[10] Liu JW, Tseng SH. Near-to-far-field transformation scheme utilizing a modified sinc interpolation method for PSTD simulations. Optics Express. 2024; 32(26):47225-35.

[11] Tong X, Sun Y. A hybrid chebyshev pseudo-spectral finite-difference time-domain method for numerical simulation of 2D acoustic wave propagation. Mathematics. 2023; 12(1):1-14.

[12] Treeby BE, Wise ES, Kuklis F, Jaros J, Cox BT. Nonlinear ultrasound simulation in an axisymmetric coordinate system using a k-space pseudospectral method. The Journal of the Acoustical Society of America. 2020; 148(4):2288-300.

[13] Cigier A, Varray F, Garcia D. SIMUS: an open-source simulator for medical ultrasound imaging. part II: comparison with four simulators. Computer Methods and Programs in Biomedicine. 2022; 220:106774.

[14] Zhang F, Tong S, Sun R, Liao S, Zheng Y, Gao F, et al. Photoacoustic 3D brain phantom and multi speed of sound reconstruction. In Ultrasonics, Ferroelectrics, and frequency control joint symposium (UFFC-JS) 2024 (pp. 1-4). IEEE.

[15] Kwon H, Kim MG, Oh S, Kim Y, Jung G, Lee HJ, et al. Application of quantitative ultrasonography and artificial intelligence for assessing severity of fatty liver: a pilot study. Diagnostics. 2024; 14(12):1-12.

[16] Xu P, Wu H, Shen G. Characterization of weakly nonlinear effects in relationship to transducer parameters in focused ultrasound therapy. Medical Physics. 2024; 51(10):7619-31.

[17] Santos MJ, Petrella LI, Perdigão F, Santos J. Ultrasonic a-scan signals data augmentation using electromechanical system modelling to enhance cataract classification methods. Electronics. 2024; 13(21):1-12.

[18] Ceccato RC, Pigatto AV, Aster RC, Pai CN, Mueller JL, Furuie SS. Time of flight transmission mode ultrasound computed tomography with expected gradient and boundary optimization. IEEE Transactions on Biomedical Engineering. 2025:1-12.

[19] Krokhmal A, Simcock IC, Treeby BE, Martin E. A comparative study of experimental and simulated ultrasound beam propagation through cranial bones. Physics in Medicine & Biology. 2025; 70(2):1-24.

[20] Liu YH, Lin HC, Li CY, Kao CL, Hsu HJ, Wang YH, et al. Development of an air-coupled piezoelectric micromachined ultrasonic transducer using Sol-Gel PZT thin film for fast-prototyping. IEEE Open Journal of Ultrasonics, Ferroelectrics, and Frequency Control. 2024; 4:27-36.

[21] Steinmann P, Schmidt I, Pivonka P, Papastavrou A. A computational two-scale approach to cancellous bone remodelling. Advanced Modeling and Simulation in Engineering Sciences. 2024; 11(1):1-21.

[22] Almeida FM, Completo AM. Finite element analysis of bone and experimental validation. In the computational mechanics of bone tissue: biological behaviour, remodelling algorithms and numerical applications 2020 (pp. 179-202). Cham: Springer International Publishing.

[23] Rosnitskiy PB, Khokhlova TD, Schade GR, Sapozhnikov OA, Khokhlova VA. Treatment planning and aberration correction algorithm for HIFU ablation of renal tumors. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 2024; 71(3):341-53.

[24] Viceconti M, Zannoni C, Baruffaldi F, Pierotti L, Toni A, Cappello A. CT-scan data acquisition to generate biomechanical models of bone structures. In computer methods in biomechanics and biomedical engineering 2 2020 (pp. 279-87). CRC Press.

[25] Hosokawa A, Matsukawa M. Piezoelectric and opto-acoustic material properties of bone. In bone quantitative ultrasound: new horizons 2022 (pp. 319-46). Cham: Springer International Publishing.

[26] He L, Wang B, Wen Z, Li X, Wu D. 3-D high frequency ultrasound imaging by piezo-driving a single-element transducer. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 2022; 69(6):1932-42.

[27] Choi M, Jang M, Yoo SS, Noh G, Yoon K. Deep neural network for navigation of a single-element transducer during transcranial focused ultrasound therapy: proof of concept. IEEE Journal of Biomedical and Health Informatics. 2022; 26(11):5653-64.

[28] Zhao Y, Wang LV. Single-shot photoacoustic imaging with single-element transducer through a spatiotemporal encoder. Journal of Biomedical Optics. 2023; 28(4):1-11.

[29] Treeby BE, Cox BT. K-wave: MATLAB toolbox for the simulation and reconstruction of photoacoustic wave fields. Journal of Biomedical Optics. 2010; 15(2):1-12.

[30] https://isbweb.org/data/vsj/. Accessed 15March 2024.

[31] Makker A, Mishra G, Singh BP, Tripathi A, Singh MM. Normative bone mineral density data at multiple skeletal sites in Indian subjects. Archives of Osteoporosis. 2008; 3(1):25-37.

[32] Schröder G, Andresen JR, Hiepe L, Schulze M, Kullen CM, Kopetsch C, et al. Interobserver variability in the determination of bone mineral density in hounsfield units from differently configured fields of measurement in the cancellous bone of vertebral bodies from elderly body donors. Journal of Orthopaedics. 2024; 49:48-55.

[33] Jepsen KJ, Bigelow EM, Casden MA, Goulet RW, Kennedy K, Hertz S, et al. Associations among hip structure, bone mineral density, and strength vary with external bone size in white women. Journal of Bone and Mineral Research Plus. 2023; 7(3):1-13.

Keuntungan Tanpa Sekatan Mesin MahjongRTP Game Mahjong Wins 3 Emang KelewatanMuraibet Ternyata Memakai Server Luar Negeri