a IITB Monash Research Academy , Indian Institute of Technology Bombay , Mumbai , India.
b Department of Mechanical Engineering , Indian Institute of Technology Bombay , Mumbai , India.
Int J Hyperthermia. 2018;35(1):419-434. doi: 10.1080/02656736.2018.1506166. Epub 2018 Oct 11.
The present work is concerned with the numerical investigation of the thermal response of tissue-mimicking biological phantom(s) subjected to high intensity focused ultrasound (HIFU). Simulations have been performed on the 3-dimensional physical domain for two-layered as well as multi-layered medium consisting of water and liver tissue. Local pressure distribution within the body of the phantom has been calculated by solving the complete full-wave nonlinear form of Westervelt equation. The solution of the pressure wave equation has been coupled with Pennes bioheat transfer equation to determine the full field temperature distribution. Results in the form of pressure fields, temperature distributions and the corresponding thermal dosage in the targeted region of the tissue domain have been presented. Magnitudes of the maximum pressure (and hence the resultant temperature levels) in the focal region as obtained using the nonlinear form of Westervelt equation are found to be significantly higher than that determined based on the linear form of the equation. Compared to water, wherein the acoustic intensity is maximum, the addition of sub-layers of skin, fat, and muscle into water resulted in the reduction of the peak intensity and also shifted the intensity profiles along the direction of propagation of the acoustic waves. However, addition of liver tissue into water led to the shifting of intensity profile in the opposite direction i.e., towards the transducer. The results further reveal that due to the dependence of attenuation coefficient on the source frequency, the temperature at the focal region increases with an increase in the transducer frequency. The work is further extended from single lesion to multiple lesion generation through controlled movement of the transducer and the resultant transient full field temperature distribution has been presented. The concerned observations highlight the need of optimizing the thermal energy for each lesion, the inter spatial distance between different lesions and the delay time so as to ensure minimal thermal damage to the surrounding healthy cells as well as to reduce the total treatment duration.
本工作研究了高强度聚焦超声(HIFU)作用下组织模拟生物模型的热响应的数值模拟。对由水和肝组织组成的双层和多层介质的三维物理域进行了模拟。通过求解完整的全波非线性 Westervelt 方程计算了模型体内的局部压力分布。压力波方程的解与 Pennes 生物传热方程耦合,以确定全场温度分布。给出了以压力场、温度分布和组织域靶向区域相应热剂量的形式呈现的结果。发现使用 Westervelt 方程的非线性形式获得的焦点区域的最大压力(因此产生的温度水平)的幅度明显高于基于该方程的线性形式确定的幅度。与水相比,其中声强最大,在水中添加皮肤、脂肪和肌肉的亚层会降低峰值强度,并沿声波传播方向改变强度分布。然而,将肝组织添加到水中会导致强度分布朝相反的方向(即朝向换能器)移动。结果还表明,由于衰减系数取决于源频率,因此焦点区域的温度会随着换能器频率的增加而升高。该工作进一步从单个病灶扩展到多个病灶的生成,通过换能器的受控运动,并给出了瞬时全场温度分布。相关观察结果强调了需要为每个病灶优化热能,不同病灶之间的空间距离和延迟时间,以确保对周围健康细胞的最小热损伤,并减少总治疗时间。