Department Numerical Analysis and Modelling, Zuse Institute Berlin, Takustrasse 7, 14195 Berlin, Germany.
Med Phys. 2010 Oct;37(10):5382-94. doi: 10.1118/1.3488896.
Online optimization of annular-phased-array hyperthermia (HT) is based on planning tools and magnetic resonance (MR) thermometry. Until now, the method has been validated in phantoms. Further developments and extensions are required for clinical purposes. In particular, the problem of deducing the electric field distribution inside the patient from MR thermometry is ill-posed, which leads to an amplification of measurement errors. A method to overcome this difficulty is proposed.
The authors utilized a regularized Gauss-Newton algorithm with a fast bioheat transfer equation (BHTE) approximation to identify the field parameters. To evaluate the method, simulations with patient models are conducted and a treatment data set obtained from a heat treatment performed in the hybrid HT-MR system at the Charité Medical School is used to visualize the error amplification.
The regularization leads to a significantly improved accuracy of the predicted electric fields and temperatures compared to an unregularized approach. The BHTE approximation enables highly accurate temperature predictions in real-time.
Regularization proves to be necessary to identify electromagnetic field parameters. The proposed method is able to reproduce measurements without overfitting to the noise in the MR measurements and results in an improved treatment planning.
环形相控阵热疗(HT)的在线优化基于规划工具和磁共振(MR)测温。到目前为止,该方法已在体模中得到验证。需要进一步开发和扩展,以用于临床目的。特别是,从 MR 测温中推断患者内部电场分布的问题是不适定的,这会导致测量误差的放大。提出了一种克服这一困难的方法。
作者利用正则化高斯-牛顿算法和快速生物传热方程(BHTE)近似来识别场参数。为了评估该方法,对患者模型进行了模拟,并使用从 Charité 医学院的混合 HT-MR 系统中进行的热治疗获得的治疗数据集来可视化误差放大。
与非正则化方法相比,正则化显著提高了预测电场和温度的准确性。BHTE 近似能够实时进行高精度的温度预测。
证明正则化对于识别电磁场参数是必要的。所提出的方法能够在不过度拟合 MR 测量噪声的情况下再现测量结果,并导致改进的治疗计划。