Radial extracorporeal shockwave therapy (rESWT) is a noninvasive medical technique that treats a range of musculoskeletal conditions. To understand its biological effects and develop personalized treatment plans, it is crucial to fully characterize the acoustic field that rESWT generates. This study presents a quantitative assessment of rESWT's acoustic field, achieved through experiments and simulations. The study measures the acoustic fields using a needle-type hydrophone under different machine settings and establishes and calibrates a computational model based on the experimental measurements. The study also determines the spatial distributions of peak pressure and energy flux density for different driving pressures. High-speed photography is used to visualize cavitation bubbles, which correspond to the negative pressure distribution. The study finds that the axial pressure distribution is similar to the acoustic radiation from an oscillating circular piston, whereas the radial pressure distribution cannot be described by acoustic radiation. Furthermore, the study develops a machine learning model that predicts positive pressure distributions for continuous driving pressure. Overall, this study expands our understanding of the acoustic fields generated by rESWT and provides quantitative information to explore underlying biological mechanisms and determine personalized treatment approaches.
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February 2024
Research Article|
February 07 2024
Quantitative assessment of acoustic field characteristics in water by radial extracorporeal shockwave therapy

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Luyao He (何璐瑶);
Luyao He (何璐瑶)
(Data curation, Formal analysis, Investigation, Methodology, Software, Validation, Visualization, Writing – original draft, Writing – review & editing)
1
School of Medical Technology, Beijing Institute of Technology
, Beijing 100081, China
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Anyi Guo (郭安忆);
Anyi Guo (郭安忆)
(Data curation, Formal analysis, Investigation, Validation, Visualization)
2
Beijing Jishuitan Hospital, Capital Medical University
, Beijing 100035, China
3
Beijing Research Institute of Traumatology and Orthopaedics
, Beijing 100035, China
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Bo Wang (王博);
Bo Wang (王博)
(Formal analysis, Investigation, Methodology, Software, Validation, Visualization)
1
School of Medical Technology, Beijing Institute of Technology
, Beijing 100081, China
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Qingquan Liu (刘青泉)
;
Qingquan Liu (刘青泉)
(Conceptualization, Resources, Supervision)
1
School of Medical Technology, Beijing Institute of Technology
, Beijing 100081, China
4
School of Aerospace Engineering, Beijing Institute of Technology
, Beijing 100081, China
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Yajun Liu (刘亚军);
Yajun Liu (刘亚军)
a)
(Conceptualization, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision)
2
Beijing Jishuitan Hospital, Capital Medical University
, Beijing 100035, China
3
Beijing Research Institute of Traumatology and Orthopaedics
, Beijing 100035, China
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Xiaodong Chen (陈晓东)
Xiaodong Chen (陈晓东)
a)
(Conceptualization, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision, Validation, Writing – review & editing)
1
School of Medical Technology, Beijing Institute of Technology
, Beijing 100081, China
4
School of Aerospace Engineering, Beijing Institute of Technology
, Beijing 100081, China
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Luyao He (何璐瑶)
1
Anyi Guo (郭安忆)
2,3
Bo Wang (王博)
1
Yajun Liu (刘亚军)
2,3,a)
1
School of Medical Technology, Beijing Institute of Technology
, Beijing 100081, China
2
Beijing Jishuitan Hospital, Capital Medical University
, Beijing 100035, China
3
Beijing Research Institute of Traumatology and Orthopaedics
, Beijing 100035, China
4
School of Aerospace Engineering, Beijing Institute of Technology
, Beijing 100081, China
Physics of Fluids 36, 027115 (2024)
Article history
Received:
November 18 2023
Accepted:
January 10 2024
Connected Content
A companion article has been published:
Understanding how radial extracorporeal shockwave therapy reduces pain and aids in recovery
Citation
Luyao He, Anyi Guo, Bo Wang, Qingquan Liu, Yajun Liu, Xiaodong Chen; Quantitative assessment of acoustic field characteristics in water by radial extracorporeal shockwave therapy. Physics of Fluids 1 February 2024; 36 (2): 027115. https://doi.org/10.1063/5.0188052
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