用CT数据建模颅骨超声传播,精准预测波束畸变。
Full-Wave Modeling of Transcranial Ultrasound using Volume-Surface Integral Equations and CT-Derived Heterogeneous Skull Data
- 基于体-表积分方程的全波模拟方法,直接使用原始CT网格。
- 0.5毫米分辨率下仍能准确模拟,颅骨导致波束偏移7.8毫米。
- 适合个性化超声治疗规划,尤其关注颅骨异质性影响者。
经颅超声治疗利用聚焦声能诱导脑内治疗效应,但超声需穿透高度衰减且非均质的颅骨,导致波束畸变、焦点压力下降及靶点偏移。计算模型常用于预测波束畸变、评估颅骨热效应并校正换能器相位。这些模型通常依赖计算机断层扫描(CT)图像构建患者特异性几何结构并估算颅骨声学特性,但CT的粗略体素分辨率限制了在超声频率下的微分方程求解精度。本文提出一种基于体-表积分方程的高效数值方法,实现对非均质颅骨中全波声传播的建模。结果表明,该方法即使在使用原始CT体素作为计算网格时仍具高准确性,其中0.5毫米体素长度虽相对于最短3毫米波长较粗,仍可有效模拟。该方法通过平均颅骨模型与高分辨率边界元模型对比验证。基于CT颅骨模型和碗形换能器的仿真显示,颅骨非均质声学特性导致显著波束畸变,达7.8毫米。
原文摘要 · Abstract (English)
Transcranial ultrasound therapy uses focused acoustic energy to induce therapeutic bioeffects in the brain. Ultrasound must be transmitted through the skull, which is highly attenuating and heterogeneous, causing beam distortion, reducing focal pressure, and shifting the target location. Computational models are frequently used to predict beam aberration, assess cranial heating, and correct the phase of ultrasound transducers. These models often rely on computed tomography (CT) images to build patient-specific geometries and estimate skull acoustic properties. However, the coarse voxel resolution of CT limits accuracy for differential equation solvers at ultrasound frequencies. This paper presents an efficient numerical method based on volume-surface integral equations to model full-wave acoustic propagation through heterogeneous skull bone. We show that our approach effectively simulates transcranial ultrasound, even when using the original CT voxels as the computational mesh, where the 0.5 mm voxel length is relatively coarse compared to the shortest wavelength of 3 mm. The method is validated against a high-resolution boundary element model using an averaged skull representation. Simulations using a CT-based skull model and a bowl transducer reveal significant beam distortion of 7.8 mm attributed to the skull's heterogeneous acoustical properties.
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