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VALIDATION OF NUMERICAL BIOHEAT FDTD MODEL

机译:数值生物健康FDTD模型的验证

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摘要

Temperature rise evaluation in human body exposed to RF energy is becoming increasingly important topic related to the future development of the RF exposure safety standards. Therefore the validation of the existing methods like FDTD used in such complex multidisciplinary studies is very important. The accuracy of the FDTD solution of the Bio-Heat equation [4] which is most often used in this type if studies has been analyzed based on the developed program package [1-2]. The effect of stair case geometry representation in FDTD grid has been investigated by comparing the test case with analytical solution [8]. In addition comparison was made with the published results [9]. Preliminary data show that in case of constant temperature boundary conditions FDTD results slightly differ from the analytical solution during the transition state of the heat transfer process while there is a much better agreement in steady state regime. In case of convective boundary conditions the steady state temperature distribution at the convective boundary obtained by FDTD method also differ insignificantly from the FEM results reported in literature and temperature values inside the model are almost identical with that from FEM models. The results point to the conclusion that the error in FDTD simulations may be attributed to faster heat exchange which is due to the difference of surface area between the smooth and stair case boundaries of the modeled structures. These results are similar to those reported in [9]. The impact on temperature inside the body far from the boundary is less than 1% while at the boundary is in the range of 4-7% for the models with 0.5 mm grid resolution and tissue like thermal properties.
机译:暴露于RF能量的人体温度升高评估正变得越来越重要,与未来的RF暴露安全标准的发展有关。因此,在这种复杂的多学科研究中使用的FDTD等现有方法的验证非常重要。如果已经基于开发的程序包[1-2]分析了这种类型的生物 - 热方程的FDTD溶液的精度[4]。通过将测试用例与分析溶液进行比较,研究了楼梯状况几何表示在FDTD网格中的影响[8]。此外,使用已发表的结果进行了比较[9]。初步数据表明,在恒温边界条件下,FDTD在传热过程的过渡状态期间的分析解决方案略有不同,同时在稳态方案中有更好的协议。在对流边界条件的情况下,通过FDTD方法获得的对流边界处的稳态温度分布也与文献中报告的有限元素显着不同,模型内的温度值与FEM模型几乎相同。结果指出了FDTD模拟中的误差可能归因于更快的热交换,这是由于所建模结构的平滑和楼梯外壳边界之间的表面积差异。这些结果与[9]中报道的结果类似。对距边界的体内的对温度的影响小于1%,而在边界的范围内为0.5mm栅格分辨率和热性能等组织的模型的4-7%。

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