Analytical solutions for nonequilibrium bioheat transfer in tumor during magnetic nanoparticles hyperthermia

IF 4.3 3区工程技术 Q1 MECHANICS

Journal of Non-Equilibrium Thermodynamics Pub Date : 2024-07-23 DOI:10.1515/jnet-2024-0035

Zuhur Alqahtani, Ibrahim Abbas

引用次数: 0

Abstract

This paper presents mathematical responses for the dual-phase-lag (DPL) hypothesis, which accounts for nonequilibrium heat transfer during magnetic nanoparticle hyperthermia in tumor. To get this precision, volume averaging is used for the local instantaneous energy formulation for tissues and blood. This study proposes a hybrid numerical strategy to solve this problem by combining change of variables, improved discretization techniques, and Laplace transforms. Using the Arrhenius formulas, the range of denatured proteins is used to assess the degree of heat damages to the tumor and healthy tissues. The impacts of porosity, the blood perfusion and metabolism on the temperature and the thermal injuries are studied. The numerical estimations of temperature and the resulting of thermal injuries are shown on a graph, and a comparison with earlier research establishes the results’ validity.

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磁性纳米粒子热疗过程中肿瘤内非平衡生物传热的分析解决方案

本文介绍了双相滞后（DPL）假说的数学响应，该假说考虑了肿瘤中磁性纳米粒子热疗过程中的非平衡传热。为了获得这种精度，组织和血液的局部瞬时能量公式采用了体积平均法。本研究提出了一种混合数值策略，通过结合变量变化、改进的离散化技术和拉普拉斯变换来解决这一问题。利用阿伦尼乌斯公式，变性蛋白质的范围被用来评估肿瘤和健康组织的热损伤程度。研究了孔隙率、血液灌注和新陈代谢对温度和热损伤的影响。温度和热损伤的数值估算结果显示在图表上，与早期研究的比较证明了结果的正确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Non-Equilibrium Thermodynamics 物理-力学

CiteScore

9.10

自引率

18.20%

发文量

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.