College of Physics and Information Science, Hunan Normal University, Changsha 410081, China.
Ultrasonics. 2010 May;50(6):628-33. doi: 10.1016/j.ultras.2010.01.006. Epub 2010 Jan 28.
Temperature control of hyperthermia treatments is generally implemented with multipoint feedback system comprised of phased-array transducer, which is complicated and high cost. Our simulations to the acoustic field induced by a self-focused concave spherical transducer (0.5MHz, 9cm aperture width, 8.0cm focal length) show that the distribution of temperature can keep the same "cigar shape" in the focal region during ultrasound insonation. Based on the characteristic of the temperature change, a two-dimensional model of a "cigar shape" tumor is designed and tested through numerical simulation. One single-point on the border of the "cigar shape" tumor is selected as the control target and is controlled at the temperature of 43 degrees C by using a self-tuning regulator (STR). Considering the nonlinear effects of biological medium, an accurate state-space model obtained via the finite Fourier integral transformation to the bioheat equation is presented and used for calculating temperature. Computer simulations were performed with the perfusion rates of 2.0kg/(m(3)s) and 4.5kg/(m(3)s) to the different targets, it was found that the temperatures on the border of the "cigar shape" tumor can achieve the desired temperature of 43 degrees C by control of one single-point. A larger perfusion rate requires a higher power output to obtain the same temperature elevation under the same insonation time and needs a higher cost for compensating the energy loss carried away by blood flow after steady state. The power output increases with the controlled region while achieving the same temperature at the same time. Especially, there is no overshoot during temperature elevation and no oscillation after steady state. The simulation results demonstrate that the proposed approach may offers a way for obtaining a single-point, low-cost hyperthermia system.
热疗中的温度控制通常采用由相控阵换能器组成的多点反馈系统来实现,该系统复杂且成本高。我们对自聚焦凹球面换能器(0.5MHz,9cm 孔径宽度,8.0cm 焦距)产生的声场进行了模拟,结果表明,在超声辐照期间,焦域内的温度分布可以保持相同的“雪茄形”。基于温度变化的特征,设计并通过数值模拟测试了一个“雪茄形”肿瘤的二维模型。选择“雪茄形”肿瘤边界上的单点作为控制目标,并通过自整定调节器(STR)将其控制在 43℃的温度。考虑到生物介质的非线性效应,通过有限傅里叶积分变换到生物传热方程得到了一个精确的状态空间模型,并用于计算温度。在不同的目标下,对灌注率为 2.0kg/(m3·s)和 4.5kg/(m3·s)进行了计算机模拟,结果表明,通过单点控制,可以使“雪茄形”肿瘤边界上的温度达到所需的 43℃。较大的灌注率需要更高的功率输出,才能在相同的辐照时间内获得相同的温升,并且需要更高的成本来补偿稳态后血流带走的能量损失。在达到相同温度的同时,功率输出随控制区域的增加而增加。特别是,在升温过程中没有过冲,在稳态后也没有振荡。模拟结果表明,该方法可能为获得单点、低成本的热疗系统提供了一种途径。