Department of Radiology, New York University, New York, NY 10016, USA.
IEEE Trans Biomed Eng. 2013 Jun;60(6):1735-41. doi: 10.1109/TBME.2013.2241764. Epub 2013 Jan 22.
We present an approach to performing rapid calculations of temperature within tissue by interleaving, at regular time intervals, 1) an analytical solution to the Pennes (or other desired) bioheat equation excluding the term for thermal conduction and 2) application of a spatial filter to approximate the effects of thermal conduction. Here, the basic approach is presented with attention to filter design. The method is applied to a few different cases relevant to magnetic resonance imaging, and results are compared to those from a full finite-difference (FD) implementation of the Pennes bioheat equation. It is seen that results of the proposed method are in reasonable agreement with those of the FD approach, with about 15% difference in the calculated maximum temperature increase, but are calculated in a fraction of the time, requiring less than 2% of the calculation time for the FD approach in the cases evaluated.
1）排除热传导项的 Pennes（或其他所需）生物热方程的解析解，2）应用空间滤波器来近似热传导的影响。在这里，我们主要关注滤波器的设计。该方法应用于与磁共振成像相关的几个不同情况，并将结果与 Pennes 生物热方程的完全有限差分（FD）实现进行比较。结果表明，所提出方法的结果与 FD 方法的结果基本一致，计算得到的最大温升差异约为 15%，但计算时间却大大缩短，在评估的情况下，所需时间不到 FD 方法的 2%。
