Halac S, Roemer R B, Oleson J R, Cetas T C
Int J Radiat Oncol Biol Phys. 1983 Jun;9(6):881-91. doi: 10.1016/0360-3016(83)90015-9.
A one dimensional (radial) numerical model based on the bioheat transfer equation has been developed and applied to the abdomen and pelvis heated by a concentric magnetic induction electrode. This model consists of four normal tissue regions: viscera, muscle, fat and skin. Each region is assigned thermal properties characteristic of that region and power deposition values consistent with those for this mode of heating. Tumors of 2, 4 and 7 cm thicknesses are positioned in five different radial locations ranging from the central axis to the skin surface. Two blood perfusion models of the tumor are considered: the uniformly perfused model and an annular model. Tumor temperature distributions are considered acceptable if the average tumor temperature plus and minus two standard deviations lie between 42 degrees C and 60 degrees C. To stimulate practical clinical restrictions, muscle and fat temperatures are not allowed to exceed 44 degrees C, significant portions of the viscera (except for a 1 cm thick band) are not allowed to exceed 42 degrees C, and the total absorbed power required to maintain steady state cannot exceed one kilowatt. Over 100 possible cases are presented in a compact form. A conclusion drawn from this study is that with few exceptions, only small tumors in the muscle annulus are heated adequately with this modality. Large tumors will have significant unheated portions if the specified limitations are not exceeded. While this heating modality can raise the necrotic core of a tumor to high temperatures, it cannot adequately heat well perfused regions of a deep seated tumor. These conclusions are borne out clinically and are discussed in a companion paper.
基于生物热传递方程开发了一种一维（径向）数值模型，并将其应用于由同心磁感应电极加热的腹部和骨盆。该模型由四个正常组织区域组成：内脏、肌肉、脂肪和皮肤。每个区域都被赋予该区域特有的热特性以及与这种加热方式一致的功率沉积值。厚度为2厘米、4厘米和7厘米的肿瘤位于从中心轴到皮肤表面的五个不同径向位置。考虑了肿瘤的两种血液灌注模型：均匀灌注模型和环形模型。如果肿瘤平均温度加减两个标准差在42摄氏度至60摄氏度之间，则认为肿瘤温度分布是可接受的。为模拟实际临床限制，肌肉和脂肪温度不得超过44摄氏度，大部分内脏（除1厘米厚的带外）不得超过42摄氏度，维持稳态所需的总吸收功率不得超过1千瓦。以紧凑形式呈现了100多种可能的情况。这项研究得出的结论是，除少数例外，用这种方式只能充分加热肌肉环内的小肿瘤。如果不超过规定的限制，大肿瘤将有明显的未加热部分。虽然这种加热方式可以将肿瘤的坏死核心加热到高温，但它不能充分加热深部肿瘤的灌注良好区域。这些结论在临床上得到了证实，并在一篇配套论文中进行了讨论。
