Brezovich I A, Young J H
Med Phys. 1981 Jan-Feb;8(1):79-84. doi: 10.1118/1.594911.
A general solution is given for the steady state form of the heat conduction equation applied to a simple tumor model which is imagined as being heated by means of electrical currents flowing between metallic electrodes. The model assumes a homogeneous tumor with no bloodflow. The solution for the special case of constant temperature and potential at the surface of the heated volume is examined in detail. The solution shows that there exists, independent of the particular tumor and electrode geometry, a close relationship between the steady state temperature distribution and the electrical potential. Among the more important implications of this relationship are that equipotential surfaces within the heated volume are also isothermal surfaces and that no areas of excessive heat at or near any sharp edges or corners of the electrodes should develop, despite the high electric field intensity. Based on the theory, a procedure is outlined which might greatly facilitate the determination of temperature distributions in phantoms. Finally, the usefulness and the limitations of the theoretical models in clinical hyperthermia are discussed.
给出了一个应用于简单肿瘤模型的热传导方程稳态形式的通解，该模型被设想为通过在金属电极之间流动的电流进行加热。该模型假设肿瘤均匀且无血流。详细研究了加热体积表面温度和电位恒定这一特殊情况的解。该解表明，与特定的肿瘤和电极几何形状无关，稳态温度分布与电位之间存在密切关系。这种关系的更重要含义包括：加热体积内的等势面也是等温面，并且尽管电场强度很高，但在电极的任何尖锐边缘或拐角处或其附近都不应出现过热区域。基于该理论，概述了一种可能极大地有助于确定体模中温度分布的程序。最后，讨论了理论模型在临床热疗中的实用性和局限性。
