Wang Mingjun, Zhou Yufeng
a School of Mechanical and Aerospace Engineering , Nanyang Technological University , Singapore.
Int J Hyperthermia. 2016 Aug;32(5):569-82. doi: 10.3109/02656736.2016.1160154. Epub 2016 May 5.
HIFU becomes an effective and non-invasive modality of solid tumour/cancer ablation. Simulation of the non-linear acoustic wave propagation using a phased-array transducer in multiple layered media using different focusing strategies and the consequent lesion formation are essential in HIFU planning in order to enhance the efficacy and efficiency of treatment.
An angular spectrum approach with marching fractional steps was applied in the wave propagation from phased-array HIFU transducer, and diffraction, attenuation, and non-linearity effects were accounted for by a second-order operator splitting scheme. The simulated distributions of the first three harmonics along and transverse to the transducer axis were compared to the hydrophone measurements. The bioheat equation was used to simulate the subsequent temperature elevation using the deposited acoustic energy, and lesion formation was determined by the thermal dose.
Better agreement was found between the measured harmonics distribution and simulation using the proposed algorithm than the Khokhlov-Zabozotskaya-Kuznetsov equation. Variable focusing of the phased-array transducer (geometric focusing, transverse shifting and the generation of multiple foci) can be simulated successfully. The shifting and splitting of focus was found to result in significantly less temperature elevation at the focus and the subsequently, the smaller lesion size, but the larger grating lobe grating lobe in the pre-focal region.
The proposed algorithm could simulate the non-linear wave propagation from the source with arbitrary shape and distribution of excitation through multiple tissue layers in high computation accuracy. The performance of phased-array HIFU can be optimised in the treatment planning.
高强度聚焦超声(HIFU)成为实体肿瘤/癌症消融的一种有效且非侵入性的方式。在HIFU治疗规划中,使用相控阵换能器在多层介质中采用不同聚焦策略模拟非线性声波传播以及由此产生的损伤形成,对于提高治疗的有效性和效率至关重要。
采用带步进分数步的角谱方法来处理相控阵HIFU换能器的波传播,通过二阶算子分裂方案考虑衍射、衰减和非线性效应。将沿换能器轴及其横向方向的前三个谐波的模拟分布与水听器测量结果进行比较。使用生物热方程,利用沉积的声能模拟随后的温度升高,并通过热剂量确定损伤形成情况。
与使用Khokhlov-Zabozotskaya-Kuznetsov方程相比,使用所提出算法得到的谐波分布测量值与模拟结果之间的一致性更好。可以成功模拟相控阵换能器的可变聚焦(几何聚焦、横向移位和多个焦点的生成)。发现焦点的移位和分裂会导致焦点处的温度升高显著降低,进而损伤尺寸变小,但在焦前区域会产生更大的旁瓣。
所提出的算法能够以高计算精度模拟从具有任意形状和激励分布的源通过多个组织层的非线性波传播。在治疗规划中可以优化相控阵HIFU的性能。