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The Influence of Harmonic Ratio on HIFU-Induced Thermal Lesion Formation in Biological Tissue

Document Type : Original Research

Authors

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

2 School of Mathematics and Physics, Nanhua University, Hengyang, 421001, China

3 School of Electronic Information and Electrical Engineering, Changsha University, Changsha, 410022, China

10.31661/jbpe.v0i0.2502-1889

Abstract

Background: High-Intensity Focused Ultrasound (HIFU) is a non-invasive therapeutic technique, widely used for thermal ablation of tumors and other pathological tissues. The formation of thermal lesions during HIFU therapy is influenced by nonlinear acoustic effects, including the generation of harmonics and harmonic ratios.
Objective: This study aimed to investigate the influence of the harmonic ratio on HIFU-induced thermal lesion formation in biological tissue. A coupled acoustic-thermal model is developed to simulate HIFU wave propagation and temperature elevation, incorporating nonlinear acoustic effects and dynamic tissue properties.
Material and Methods: This numerical study investigates the influence of the harmonic ratio (R*=(P3+P4)/P2) on HIFU-induced thermal lesion formation in liver tissue. A coupled acoustic-thermal model was developed to simulate the propagation of HIFU waves and the resulting temperature elevation in tissue. The model incorporates nonlinear acoustic effects and dynamic tissue properties. The relationship between harmonic ratio, focal temperature, and thermal lesion size was analyzed through numerical simulation.
Results: The results demonstrate that the harmonic ratio significantly affects the spatial distribution of acoustic energy deposition and the resulting thermal lesion size. Specifically, below 50 °C, the harmonic ratio decreases with rising focal temperature; above 50 °C, the harmonic ratio increases, indicating a turning point at the thermal denaturation threshold of liver tissue. Furthermore, higher harmonic ratio values correlate with larger thermal lesions, suggesting that higher-harmonic components enhance energy deposition in the focal region. 
Conclusion: These findings provide insights into optimizing HIFU therapy by controlling harmonic ratio generation, thereby improving treatment efficacy and safety.

Highlights

Hu Dong (PubMed)

Keywords

References
  1. Ashar H, Ranjan A. Immunomodulation and targeted drug delivery with high intensity focused ultrasound (HIFU): Principles and mechanisms. Pharmacol Ther. 2023;244:108393. doi: 10.1016/j.pharmthera.2023.108393. PubMed PMID: 36965581. PubMed PMCID: PMC12323623.
  2. Sofuni A, Takeuchi H, Sugimoto K, Itoi T, Miyazawa H. High-intensity focused ultrasound treatment for hepatocellular carcinoma. J Med Ultrason (2001). 2024:1-5. doi: 10.1007/s10396-024-01469-1. PubMed PMID: 38941033.
  3. Calik J, Zawada T, Bove T, Dzięgiel P, Pogorzelska-Antkowiak A, Mackiewicz J, Woźniak B, Sauer N. Healing process after high-intensity focused ultrasound treatment of benign skin lesions: dermoscopic analysis and treatment guidelines. J Clin Med. 2024;13(4):931. doi: 10.3390/ jcm13040931.
  4. Zulkifli D, Manan HA, Yahya N, Hamid HA. The Applications of High-Intensity Focused Ultrasound (HIFU) Ablative Therapy in the Treatment of Primary Breast Cancer: A Systematic Review. Diagnostics (Basel). 2023;13(15):2595. doi: 10.3390/diagnostics13152595. PubMed PMID: 37568958. PubMed PMCID: PMC10417478.
  5. Zhou K, Strunk H, Dimitrov D, Vidal-Jove J, Gonzalez-Carmona MA, et al. US-guided high-intensity focused ultrasound in pancreatic cancer treatment: a consensus initiative between Chinese and European HIFU centers. Int J Hyperthermia. 2024;41(1):2295812. doi: 10.1080/02656736.2023.2295812. PubMed PMID: 38159562.
  6. Roohi R, Baroumand S, Hosseinie R, Ahmadi G. Numerical simulation of HIFU with dual transducers: The implementation of dual-phase lag bioheat and non-linear Westervelt equations. Int J Heat Mass Transf. 2021;120:105002. doi: 10.1016/j.icheatmasstransfer.2020.105002.
  7. Rahpeima R, Lin CA. A comprehensive numerical procedure for high-intensity focused ultrasound ablation of breast tumour on an anatomically realistic breast phantom. PLoS One. 2024;19(10):e0310899. doi: 10.1371/journal.pone.0310899. PubMed PMID: 39352893. PubMed PMCID: PMC11444401.
  8. Yadav SK, Paul S, Singh MS. Effect of HIFU-Induced Thermal Ablation in Numerical Breast Phantom. 2023;10(4):425. doi: 10.3390/ photonics10040425.
  9. Chen J, LeBlang S, Hananel A, Aginsky R, Perez J, Gofeld M, et al. An incoherent HIFU transducer for treatment of the medial branch nerve: Numerical study and in vivo validation. Int J Hyperthermia. 2020;37(1):1219-28. doi: 10.1080/02656736.2020.1828628. PubMed PMID: 33106054.
  10. Huang W, Jiao Y, Li J, He Y, Shao W, Cui Y. Evaluation of Dual-Frequency Switching HIFU for Optimizing Superficial Ablation. Ultrasound Med Biol. 2024;50(6):908-19. doi: 10.1016/j.ultrasmedbio.2024.02.016. PubMed PMID: 38548527.
  11. Zou X, Qian S, Tan Q, Dong H. Formation of thermal lesions in tissue and its optimal control during HIFU scanning therapy. Symmetry. 2020;12(9):1386. doi: 10.3390/sym12091386.
  12. Kim SJ, Hwang JY, Kim YJ, Pae KN. Numerical simulation method for prediction of HIFU induced lesions in human tissue: FDTD-LBM. Phys Wave Phen. 2023;31(1):30-5. doi: 10.3103/S1541308X2301003X.
  13. Fura L, Zolek N, Kujawska T. Numerical simulations and experimental verification of the extent of HIFU-induced tissue necrosis. In Medical Imaging 2022: Image-Guided Procedures, Robotic Interventions, and Modeling; San Diego, California, United States: SPIE; 2022. p. 634-8.
  14. Fura L, Tymkiewicz R, Kujawska T. Numerical studies on shortening the duration of HIFU ablation therapy and their experimental validation. 2024;142:107371. doi: 10.1016/j.ultras.2024.107371. PubMed PMID: 38852549.
  15. Gharloghi S, Gholami M, Haghparast A, Dehlaghi V. Numerical study for optimizing parameters of high-intensity focused ultrasound-induced thermal field during liver tumor ablation: HIFU Simulator. Iran J Med Phys. 2017;14(1):15-22. doi: 10.22038/IJMP.2017.19268.1176.
  16. Dong H, Liu G, Tong X. Influence of temperature-dependent acoustic and thermal parameters and nonlinear harmonics on the prediction of thermal lesion under HIFU ablation. Math Biosci Eng. 2021;18(2):1340-51. doi: 10.3934/mbe.2021070. PubMed PMID: 33757188.
  17. Zhou Y, Yu Z, Ma Q, Guo G, Tu J, Zhang D. Noninvasive Treatment-Efficacy Evaluation for HIFU Therapy Based on Magneto-Acousto-Electrical Tomography. IEEE Trans Biomed Eng. 2019;66(3):666-74. doi: 10.1109/TBME.2018.2853594. PubMed PMID: 29993513.
  18. Li C, Chen S, Wang Q, Li H, Xiao S, Li F. Effects of thermal relaxation on temperature elevation in ex vivo tissues during high intensity focused ultrasound. IEEE Access. 2020;8:212013-21. doi: 10.1109/ACCESS.2020.3040102.
  19. Richards N, Christensen D, Hillyard J, Kline M, Johnson S, Odéen H, Payne A. Evaluation of acoustic-thermal simulations of in vivo magnetic resonance guided focused ultrasound ablative therapy. Int J Hyperthermia. 2024;41(1):2301489. doi: 10.1080/02656736.2023.2301489. PubMed PMID: 38234019. PubMed PMCID: PMC10903184.
  20. Suarez-Castellanos IM, De Sallmard G, Vanstaevel G, Ganeau A, Bawiec C, Chapelon JY, et al. Dynamic Ultrasound Focusing and Centimeter-Scale Ex Vivo Tissue Ablations With a CMUT Probe Developed for Endocavitary HIFU Therapies. IEEE Trans Ultrason Ferroelectr Freq Control. 2023;70(11):1470-81. doi: 10.1109/TUFFC.2023.3301977. PubMed PMID: 37540608.
  21. Wessapan T, Rattanadecho P. Flow and heat transfer through a porous tumor during high-intensity focused ultrasound. Int J Heat Mass Transf. 2023;216:124501. doi: 10.1016/j.ijheatmasstransfer.2023.124501.
  22. Lari S, Han SW, Kim JU, Kwon HJ. Design of HIFU treatment plans using thermodynamic equilibrium algorithm. 2022;15(11):399. doi: 10.3390/a15110399.
  23. Padilla F, Ter Haar G. Recommendations for Reporting Therapeutic Ultrasound Treatment Parameters. Ultrasound Med Biol. 2022;48(7):1299-308. doi: 10.1016/j.ultrasmedbio.2022.03.001. PubMed PMID: 35461726.
  24. Tan Q, Zou X, Ding Y, Zhao X, Qian S. The influence of dynamic tissue properties on HIFU hyperthermia: A numerical simulation study. Appl Sci. 2018;8(10):1933. doi: 10.3390/app8101933.
  25. Gu J, Jing Y. Modeling of wave propagation for medical ultrasound: a review. IEEE Trans Ultrason Ferroelectr Freq Control. 2015;62(11):1979-93. doi: 10.1109/TUFFC.2015.007034. PubMed PMID: 26559627.
  26. Bawiec CR, Rosnitskiy PB, Peek AT, Maxwell AD, Kreider W, Haar GRT, et al. Inertial Cavitation Behaviors Induced by Nonlinear Focused Ultrasound Pulses. IEEE Trans Ultrason Ferroelectr Freq Control. 2021;68(9):2884-95. doi: 10.1109/TUFFC.2021.3073347. PubMed PMID: 33861702. PubMed PMCID: PMC8500614.
  27. Civale J, Rivens I, Shaw A, Ter Haar G. Focused ultrasound transducer spatial peak intensity estimation: a comparison of methods. Phys Med Biol. 2018;63(5):055015. doi: 10.1088/1361-6560/aaaf01. PubMed PMID: 29437152. PubMed PMCID: PMC6298580.
  28. LeVeque RJ. Finite difference methods for ordinary and partial differential equations: steady-state and time-dependent problems. Society for Industrial and Applied Mathematics; 2007.
  29. Polycarpou AC. Introduction to the finite element method in electromagnetics. Springer; 2006.
  30. Clarke RL, Bush NL, Ter Haar GR. The changes in acoustic attenuation due to in vitro heating. Ultrasound Med Biol. 2003;29(1):127-35. doi: 10.1016/s0301-5629(02)00693-2. PubMed PMID: 12604124.
  31. Guntur SR, Choi MJ. Influence of temperature-dependent thermal parameters on temperature elevation of tissue exposed to high-intensity focused ultrasound: numerical simulation. Ultrasound Med Biol. 2015;41(3):806-13. doi: 10.1016/j.ultrasmedbio.2014.10.008. PubMed PMID: 25638316.
  32. Guntur SR, Lee KI, Paeng DG, Coleman AJ, Choi MJ. Temperature-dependent thermal properties of ex vivo liver undergoing thermal ablation. Ultrasound Med Biol. 2013;39(10):1771-84. doi: 10.1016/j.ultrasmedbio.2013.04.014. PubMed PMID: 23932271.
  33. Dong H, Xiao Z, Qian S. Simulation study on the influence of temperature-dependent acoustic-thermal parameters on tissue lesion under HIFU irradiation. UPB Sci Bull Series A. 2020;82(2):207-20.
  34. Xu P, Wu H, Shen G. Characterization of weakly nonlinear effects in relationship to transducer parameters in focused ultrasound therapy. Med Phys. 2024;51(10):7619-731. doi: 10.1002/mp.17270. PubMed PMID: 38935266.
  35. Han M, Song W, Zhang F, Li Z. Modeling for Quantitative Analysis of Nakagami Imaging in Accurate Detection and Monitoring of Therapeutic Lesions by High-Intensity Focused Ultrasound. Ultrasound Med Biol. 2023;49(7):1575-85. doi: 10.1016/j.ultrasmedbio.2023.03.002. PubMed PMID: 37080865.
  36. Sanderson SG, Easthope B, Farias C, Doddridge I, Cook JA, Dahl DB, Dillon CR. Characterizing temperature-dependent acoustic and thermal tissue properties for high-intensity focused ultrasound computational modeling. Int J Thermophys. 2024;45(10):143. doi: 10.1007/s10765-024-03436-x.
  37. Mortazavi SMJ, Mokhtari-Dizaji M. Threshold of Linear and Non-Linear Behavior of High Intensity Focused Ultrasound (HIFU) in Skin, Fat, and Muscle Tissue Using Computer Simulation. Iran J Med Phys. 2022;19(3):181-8. doi: 10.22038/IJMP.2021.59077.1992.
Journal of Biomedical Physics and Engineering
Volume 16, Issue 2 - Serial Number 1
76
April 2026
Pages 109-130
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