Simulation Study on the Effect of Multi-layer Biological Tissue on Focus Shift in High-Intensity Focused Ultrasound Therapy

Document Type : Original Paper


1 School of Information Science and Engineering, Changsha Normal University, Changsha 410100, China

2 School of mathematics and science, Nanhua University, Hengyang, 421001, China

3 School of Information Science and Engineering,Changsha Normal University,Changsha 410100,China

4 School of Physics and Electrical Engineering, Xiangnan University, Chenzhou 423099, China


Introduction: During the treatment of soft tissue tumors with high-intensity focused ultrasound (HIFU), the focus may shift away from the desired point due to tissue heterogeneity. By studying the effect of biological tissue on focus shift, it can provide a theoretical basis for the safety and reliability of HIFU therapy.
Material and Methods: The finite difference time domain (FDTD) method was used to construct the simulation model of HIFU irradiated multi-layer biological tissue. Based on the Westervelt nonlinear acoustic propagation equation, the focus position change caused by the thickness of biological tissue and ultrasonic transducer during HIFU irradiation were simulated and calculated. The effects of ultrasonic transducer's electric power, irradiation frequency and tissue thickness on the focus position shift were analyzed and discussed.
Results: With the increase of electric power of HIFU transducer, the sound pressure at the focal point rose and the focal point approached the transducer side. With the increase of irradiation frequency of transducer, the sound pressure at the focus increased and the focus shifted away from transducer. With the increase of the thickness of biological tissue, the amplitude of sound pressure at the focal point decreased gradually. If the sound velocity of biological tissue was greater than that of water, the focus was close to the transducer side. If the sound velocity of biological tissue was less than the sound velocity of water, the focus moved to the side away from the transducer. For biological tissue with sound velocity greater than (or less than) water, the greater the sound velocity, the greater the relative shift distance difference of focal position.
Conclusion: As the electric power and frequency of ultrasonic transducer increased, the focus of HIFU moved toward and away from the transducer, respectively. For multi-layer biological tissue, the focus shift direction depended on the sound velocity relationship between biological tissue and water


Main Subjects

  1. Wang H, Zeng D, Chen Z, Yang Z. A rapid and non-invasive method for measuring the peak positive pressure of HIFU fields by a laser beam. Scientific Reports. 2017; 7(1):850. DOI: 10.1038/s41598-017-00892-4.
  2. Zhao J, Shen H, Hu X, Wang Y, Yuan Y. The efficacy of a new high-intensity focused ultrasound therapy for metastatic pancreatic cancer. International Journal of Hyperthermia. 2021 Jan 1;38(1):288-95. DOI: 10.1080/ 02656736. 2021. 1876252.
  3. Haddadi S, Ahmadian MT. Analysis of nonlinear acoustic wave propagation in HIFU treatment using Westervelt equation. Scientia Iranica. 2018 Aug 1;25(4):2087-97. DOI:10.24200/sci.2017.4496.
  4. Marinova M, Feradova H, Gonzalez-Carmona MA, Conrad R, Tonguc T, Thudium M, et al. Improving quality of life in pancreatic cancer patients following high-intensity focused ultrasound (HIFU) in two European centers. European Radiology. 2021 Aug;31(8): 5818-29. DOI:10.1007/s00330-020-07682-z.
  5. Xiao-Ying Z, Hua D, Jin-Juan W, Ying-Shu G, Jiu-Mei C, Hong Y, et al. Clinical analysis of high-intensity focussed ultrasound ablation for abdominal wall endometriosis: a 4-year experience at a specialty gynecological institution. International Journal of Hyperthermia. 2019 Jan 1;36(1):87-94. DOI:10.1080/02656736.2018.1534276.
  6. Apfelbeck M, Clevert DA, Ricke J, Stief C, Schlenker B. Contrast enhanced ultrasound (CEUS) with MRI image fusion for monitoring focal therapy of prostate cancer with high intensity focused ultrasound (HIFU). Clinical Hemorheology and Microcirculation. 2018 Jan 1;69(1-2):93-100. DOI:10.3233/CH-189123.
  7. Hynynen K, Jolesz F.A. Demonstration of Potential Noninvasive Ultrasound Brain Therapy Through an Intact Skull. Ultrasound in Medicine & Biology. 1998;24(2):275– DOI:10.1016/S0301-5629(97)00269-X.
  8. Hallaj I M, Cleveland R O, Hynynen K. Simulations of the thermo-acoustic lens effect during focused ultrasound surgery. The Journal of the Acoustical Society of America. 2001; 109(5):2245-53. DOI:10.1121/ 1.1360239.
  9. Aubry JF, Pernot M, Marquet F, Tanter M, Fink M. Transcostal high-intensity-focused ultrasound: ex vivo adaptive focusing feasibility study. Physics in Medicine & Biology. 2008 May 12;53(11):2937. DOI:10.1088/0031-9155/53/11/012.
  10. Okita K, Ono K, Takagi S, Matsumoto Y. Development of high intensity focused ultrasound simulator for large‐scale computing. International journal for numerical methods in fluids. 2011 Jan 10;65(1‐3):43-66. DOI:10.1002/fld.2470.
  11. Narumi R, Matsuki K, Azuma T, Sasaki A, Takagi S, Matsumoto Y, et al. Numerical Estimation of HIFU Focal Error for Breast Cancer Treatment. 2013 IEEE International Ultrasonics Symposium (IUS). IEEE, 2013:926-9. DOI: 10.1109/ULTSYM.2013.0238.
  12. Gluza M, Moosavi P, Sotiriadis S. Breaking of Huygens-Fresnel principle in inhomogeneous Tomonaga-Luttinger liquids. Journal of Physics A: Mathematical and Theoretical. 2022; 55(5): 054002. DOI:10.1088/1751-8121/ac39cc.
  13. Solovchuk M, Sheu TWH, Thiriet M. Simulation of nonlinear Westervelt equation for the investigation of acoustic streaming and nonlinear propagation effects. The Journal of the Acoustical Society of America.2013;134(5):3931-42. DOI:10.1121/1.4821201.
  14. Norton GV, Purrington RD. The Westervelt equation with viscous attenuation versus a causal propagation operator: A numerical comparison. Journal of sound and vibration. 2009;327(1-2): 163-72. DOI:10.1016/j.jsv.2009.05.031.
  15. Hallaj IM, Cleveland RO. FDTD simulation of finite-amplitude pressure and temperature fields for biomedical ultrasound. Journal of the Acoustical Society of America. 1999; 105(5):7-12. DOI:10.1121/1.426776.
  16. Mur G. Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations. IEEE Transactions on Electromagnetic Compatibility. 2007; 23(4):377-382. DOI:10.1109/TEMC.1981.303970.
  17. Namakshenas P, Afsaneh M. Microstructure-based non-Fourier heat transfer modeling of HIFU treatment for thyroid cancer.Computer Methods and Programs in Biomedicine. 2020; 197: 105698. DOI:10.1016/j.cmpb.2020.105698.
  18. Almekkaway MK, Shehata IA, Ebbini ES. Anatomical-based model for simulation of HIFU-inducedlesions in atherosclerotic plaques. International Journal of Hyperthermia the Official Journal of European Society for Hyperthermic Oncology North American Hyperthermia Group. 2015; 31(4):433-42. DOI:10.3109/02656736.2015.1018966.
  19. Gupta P, Srivastava A. Numerical analysis of thermal response of tissues subjected to high intensity focused ultrasound. International Journal of Hyperthermia. 2018 Dec 31;35(1):419-34. DOI:10.1080/02656736.2018.1506166.
  20. Wang M, Zhou Y. High-intensity focused ultrasound (HIFU) ablation by frequency chirp excitation: Reduction of the grating lobe in axial focus shifting. Journal of Physics D: Applied Physics.2018; 51(28):285402. DOI:10.1088/1361-6463/aacaed.
  21. Maimbourg G, Houdouin A, Deffieux T, Tanter M, Aubry JF. 3D-printed adaptive acoustic lens as a disruptive technology for transcranial ultrasound therapy using single-element transducers. Physics in Medicine & Biology. 2018 Jan 16;63(2):025026. DOI:10.1088/1361-6560/aaa037.
  22. Mihcin S, Melzer A. Principles of focused ultrasound. Minimally Invasive Therapy & Allied Technologies Mitat Official Journal of the Society for Minimally Invasive Therapy. 2018; 27(1):41-50. DOI:10.1080/13645706.2017.1414063.
  23. Dong Z, Zheng H, Zhu Q, Wang Y. Focus prediction of high-intensity focused ultrasound (HIFU) in biological tissue based on magnetic resonance images. Applied Acoustics. 2022;197:108927. DOI:10.1016/j.apacoust. 2022.108927
  24. Qian ZW, Ye S, Fei X, Zhu Z, Jiang W, Yang Y, et al. Shift of Focus Region (SFR) in Heated Tissues by High Intensity Focused Ultrasound (HIFU). Current Medical Imaging. 2009 Aug 1;5(3):156-8. DOI:10.2174/157340509789000642.
  25. D Li, G Shen, J Bai, Y Chen. Focus shift and phase correction in soft tissues during focused ultrasound surgery[J].IEEE transactions on biomedical engineering,2011,58(6):1621-8. DOI: 10.1109/TBME.2011.2106210.
  26. Suzuki K, Iwasaki R, Takagi R, Yoshizawa S, Umemura SI. Simultaneous observation of cavitation bubbles generated in biological tissue by high-speed optical and acoustic imaging methods. Japanese journal of applied physics. 2017 Jun 28;56(7S1):07JF27. DOI:10.7567/JJAP.56.07JF27.
  27. Feng G, Hao L, Xu C, Ran H, Zheng Y, Li P, et al. High-intensity focused ultrasound-triggered nanoscale bubble-generating liposomes for efficient and safe tumor ablation under photoacoustic imaging monitoring. International journal of nanomedicine. 2017 Jun 28:4647-59. DOI:10.2147/IJN.S135391.
  28. Li C, Chen S, Wang Q, et al. Effects of Thermal Relaxation on Temperature Elevation in Ex Vivo tissue During High Intensity Focused Ultrasound[J]. IEEE Access, 2020, 8:212013-21.
  29. Brotchie A, Grieser F, Ashokkumar M. Effect of Power and Frequency on Bubble-Size Distributions in Acoustic Cavitation. Physical Review Letters. 2009; 102(8):084302. DOI:10.1103/PhysRevLett.102.084302.
  30. Tsurumi N, Tamura Y, Matsumoto Y. Numerical Simulation of Focused Ultrasound Wave Propagation in Bubbly Fluid Using Equation of Sound Wave. Transactions of the Japan Society of Mechanical Engineers. 2012; 78(796):2096-212. DOI:10.1299/kikaib.78.2096.