高频电刀加热温度分布的模拟

A. Dubko, V. Sydorets, Oleksandr F. Bondarenko
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引用次数: 3

摘要

本文提出了一种求解两相介质(电极-生物组织)中二维稳态热传导问题的算法,该算法具有第一类和第二类边界条件。在研究中,考虑了这些导电介质中交流电的不均匀分布(所谓的趋肤效应)。在直角坐标系下,考虑了由矩形铜电极和矩形生物组织样品组成的两相介质的几何模型。这种模型使我们能够把问题简化为平面平行的情况。利用有限差分法在MATLAB环境下进行了数值实验。要解决传热问题,首先要解决电磁问题。模拟了经生理盐水冷却的两相介质在高频电流作用下的温度分布。模型表明,电极表面和与电极接触的生物组织表面不存在过热现象,最大温量值存在于组织深处。该模型可用于研究矩形电极工具在宽频率范围内的高频手术侵入过程中的热过程。
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Simulation of the Temperature Distribution with High-Frequency Electrosurgical Heating
In the given study, an algorithm for solving the two-dimensional stationary heat conduction problem in a two-phase medium (electrode – biological tissue) is developed with boundary conditions of the first and second types. In the study, the unequal distribution of alternating current in these conducting media (so-called skin-effect) is taken into account. In Cartesian coordinate system a geometrical model of a two-phase medium consisting of rectangular copper electrode and rectangular sample of biological tissue is considered. A model of such kind allowed us to reduce the problem to a plane-parallel case. A numerical experiment is implemented in MATLAB environment, using the finite difference method. To solve the problem of heat transfer, the electromagnetic problem is solved in the first place. As a result, the temperature distribution in a two-phase medium cooled by physiological saline during the flow of high-frequency current is simulated. The model showed that the surfaces of the electrodes and the biological tissue in contact with them do not overheat, and the maximal temperature value lies in the depth of the tissue. This model can be used to study thermal processes during high-frequency surgical intrusion with a tool having rectangular electrodes, in a wide frequency range.
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