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The bio-heat transfer equation and its applications in hyperthermia treatments

机译:生物热传导方程及其在高温治疗中的应用

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Purpose - Cancer is the foremost disease that causes death. The objective of hyperthermia in cancer therapy is to raise the temperature of cancerous tissue above a therapeutic value while maintaining the surrounding normal tissue at sublethal temperature values in cases where surgical intervention is dangerous or impossible. The malignant tissue is heated up to 42℃ in the treatment. In this method, the unaffected tissues are aimed to have minimum damage, while the affected ones are destroyed. Therefore, it is very important for the optimization of the method to know the temperature profiles in both tissues. Accurately estimating the tissue temperatures has been a very important issue for tumor hyperthermia treatment planning. This paper, proposes to theoretically predict the temperature response of the biological tissues subject to external EM heating by using the space-dependent blood perfusion term in Pennes bio-heat equation. Design/methodology/approach - The bio-heat transfer equation is parabolic partial differential equation. Grid points including independent variables are initially formed in solution of partial differential equation by finite element method. In this study, one dimensional bio-heat transfer equation is solved by flex-PDE finite element method. Findings - In this study, the bio-heat transfer equation is solved for variable blood perfusion values and the temperature field resulting after a hyperthermia treatment is obtained. Homogeneous, non-homogeneous tissue and constant, variable blood perfusion rates are considered in this study to display the temperature fields in the biological material exposed to externally induced electromagnetic irradiation. Originality/value - Temperature-dependent tissue thermophysical properties have been used and the Pennes equation is solved by FEM analysis. Variable blood perfusion and heat generation values have been used in calculations for healthy tissue and tissue with tumor.
机译:目的-癌症是导致死亡的最主要疾病。在癌症治疗中,高热的目的是在手术危险或不可能的情况下,将癌组织的温度升高至高于治疗值,同时将周围的正常组织保持在致死温度以下。在治疗中将恶性组织加热至42℃。在这种方法中,未受影响的组织旨在使损伤最小,而受影响的组织则被破坏。因此,了解两种组织中的温度曲线对于优化方法非常重要。准确估计组织温度已成为肿瘤热疗治疗计划中非常重要的问题。本文提出通过使用Pennes生物热方程中依赖于空间的血液灌流项来从理论上预测受外部EM加热的生物组织的温度响应。设计/方法/方法-生物热传递方程是抛物线偏微分方程。首先通过有限元方法在偏微分方程的解中形成包括自变量的网格点。在这项研究中,一维生物传热方程是通过flex-PDE有限元方法求解的。发现-在此研究中,针对可变的血液灌注值求解了生物传热方程,并获得了高温治疗后得到的温度场。在这项研究中,考虑了均质,非均质组织和恒定,可变的血液灌注速率,以显示暴露于外部感应电磁辐射的生物材料中的温度场。原创性/价值-使用了温度相关的组织热物理性质,并通过FEM分析求解了Pennes方程。在健康组织和肿瘤组织的计算中已经使用了可变的血液灌注和生热值。

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