The effects of fractional time derivatives in bioheat conduction technique on tumor thermal therapy

IF 4.3 3区 工程技术 Q1 MECHANICS Journal of Non-Equilibrium Thermodynamics Pub Date : 2023-11-17 DOI:10.1515/jnet-2023-0065
Ibrahim Abbas, Aatef Hobiny, Alaa El-Bary
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Abstract

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.
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生物热传导技术中分数阶时间导数对肿瘤热疗的影响
本文利用球坐标下的分数生物热模型来解释肿瘤磁热疗治疗过程中活体组织内的热传递。维持治疗温度在磁流体热疗中是至关重要的,这需要准确估计功率耗散,以确定治疗所需的适当数量的磁颗粒。为了解决这一问题,本文提出了一种结合拉普拉斯变换、变量变换和改进离散化技术的混合数值方法。该研究探讨了分数参数的影响以及患病和健康组织之间热物理性质的差异。数值温度计算结果以图表形式呈现,并与以往文献进行了对比,验证了其有效性。
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来源期刊
CiteScore
9.10
自引率
18.20%
发文量
31
审稿时长
1 months
期刊介绍: The Journal of Non-Equilibrium Thermodynamics serves as an international publication organ for new ideas, insights and results on non-equilibrium phenomena in science, engineering and related natural systems. The central aim of the journal is to provide a bridge between science and engineering and to promote scientific exchange on a) newly observed non-equilibrium phenomena, b) analytic or numeric modeling for their interpretation, c) vanguard methods to describe non-equilibrium phenomena. Contributions should – among others – present novel approaches to analyzing, modeling and optimizing processes of engineering relevance such as transport processes of mass, momentum and energy, separation of fluid phases, reproduction of living cells, or energy conversion. The journal is particularly interested in contributions which add to the basic understanding of non-equilibrium phenomena in science and engineering, with systems of interest ranging from the macro- to the nano-level. The Journal of Non-Equilibrium Thermodynamics has recently expanded its scope to place new emphasis on theoretical and experimental investigations of non-equilibrium phenomena in thermophysical, chemical, biochemical and abstract model systems of engineering relevance. We are therefore pleased to invite submissions which present newly observed non-equilibrium phenomena, analytic or fuzzy models for their interpretation, or new methods for their description.
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