The article utilizes the fractional bioheat model in spherical coordinates to explain the transfer of heat in living tissues during magnetic hyperthermia treatment for tumors. Maintaining therapeutic temperature is crucial in magnetic fluid hyperthermia, which requires accurate estimations of power dissipation to determine the appropriate number of magnetic particles required for treatment. To address this problem, a hybrid numerical approach that combines Laplace transforms, change of variables, and modified discretization techniques is proposed in this paper. The study investigates the impact of the fractional parameter and differences in thermophysical properties between diseased and healthy tissue. The numerical temperature results are presented in a graph, and their validity is demonstrated by comparing them with previous literature.

中文翻译：

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生物热传导技术中分数时间导数对肿瘤热疗的影响

该文章利用球坐标系中的分数生物热模型来解释肿瘤磁热疗过程中活体组织中的热量传递。维持治疗温度对于磁流体热疗至关重要，这需要准确估计功率耗散以确定治疗所需的适当磁性粒子数量。为了解决这个问题，本文提出了一种结合拉普拉斯变换、变量变化和改进的离散化技术的混合数值方法。该研究调查了分数参数的影响以及患病组织和健康组织之间热物理特性的差异。数值温度结果以图表形式呈现，并通过与以前的文献进行比较来证明其有效性。