Although radial extracorporeal shock wave therapy (rESWT) has been widely used to treat orthopedic disorders with promising clinical results, rESWT largely relies on clinicians' personal experiences and arbitrary judgments, without knowing relationships between administration doses and effective doses at target sites. In fact, practitioners lack a general and reliable way to assess propagation and distribution of pressure waves inside biological tissues quantitatively. This study develops a methodology to combine experimental measurements and computational simulations to obtain pressure fields from rESWT through calibrating and validating computational models with experimental measurements. Wave pressures at the bottom of a petri dish and inside biological tissues are measured, respectively, by attaching and implanting flexible membrane sensors. Detailed wave dynamics are simulated through explicit finite element analyses. The data decipher that waves from rESWT radiate directionally and can be modeled as acoustic waves generated from a vibrating circular piston. Models are thus established to correlate pressure amplitudes at the bottom of petri dishes and in the axial direction of biological tissues. Additionally, a pilot simulation upon rESWT for human lumbar reveals a detailed and realistic pressure field mapping. This study will open a new avenue of personalized treatment planning and mechanism research for rESWT.

中文翻译：

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径向体外冲击波疗法对机械反应的定量评估

尽管放射状体外冲击波疗法（rESWT）已被广泛用于治疗骨科疾病，并取得了可喜的临床效果，但rESWT在很大程度上不依赖于临床医生的个人经验和任意判断，却不知道目标部位的给药剂量与有效剂量之间的关系。实际上，从业者缺乏定量地评估生物组织内压力波的传播和分布的通用且可靠的方法。这项研究开发了一种方法，该方法可以将实验测量结果和计算仿真相结合，从而通过对具有实验测量结果的计算模型进行校准和验证来从rESWT获得压力场。分别测量培养皿底部和生物组织内部的波压，通过连接和植入柔性膜传感器。通过显式的有限元分析来模拟详细的波浪动力学。来自rESWT的波会定向传播的数据解密，可以将其建模为从振动的圆形活塞产生的声波。因此建立模型以使陪替氏培养皿底部和生物组织的轴向上的压力幅度相关。此外，在rESWT上针对人体腰部进行的飞行员模拟显示了详细而逼真的压力场图。这项研究将为rESWT开辟个性化治疗计划和机制研究的新途径。来自rESWT的波会定向传播的数据解密，可以将其建模为从振动的圆形活塞产生的声波。因此建立模型以使陪替氏培养皿底部和生物组织的轴向上的压力幅度相关。此外，在rESWT上针对人体腰部进行的飞行员模拟显示了详细而逼真的压力场图。这项研究将为rESWT开辟个性化治疗计划和机制研究的新途径。来自rESWT的波会定向传播的数据解密，可以将其建模为从振动的圆形活塞产生的声波。因此建立模型以使陪替氏培养皿底部和生物组织的轴向上的压力幅度相关。此外，在rESWT上针对人体腰部进行的飞行员模拟显示了详细而逼真的压力场图。这项研究将为rESWT开辟个性化治疗计划和机制研究的新途径。