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3D numerical simulation of real-time temperature field in a hyperthermia cancer treatment using OcTree meshes
Journal of the Brazilian Society of Mechanical Sciences and Engineering ( IF 2.2 ) Pub Date : 2021-01-02 , DOI: 10.1007/s40430-020-02760-1
André Valente , Franciane Conceição Peters , Raphael Vieira Menezes de Souza , Webe João Mansur

This paper presents a computational strategy for real-time monitoring of hyperthermia treatment of cancer using nanoparticles. In this strategy, a numerical scheme based on the finite volume method is used for the simulation of heat diffusion in a synthetic biological system. This synthetic model is discretized with OcTree meshes, which can perform local refinement, allowing a good representation of complex geometries, besides having advantages on the use of computational resources. For real-time estimation of temperature in the three-dimensional model, the capture of the temperature field on the external surface of the model is simulated. With the data from these simulations, inverse problems are proposed and solved using the L-BFGS method. The damage caused by a temperature increase in healthy and diseased tissues is estimated, thus simulating a criterion for treatment safety. Numerical examples are analyzed with tumors at different depths, illustrating some particularities of this approach.



中文翻译:

使用OcTree网格在热疗癌症治疗中实时温度场的3D数值模拟

本文提出了一种使用纳米颗粒实时监测热疗治疗癌症的计算策略。在这种策略中,基于有限体积方法的数值方案用于模拟合成生物系统中的热扩散。该综合模型通过OcTree网格离散化,该网格可以执行局部细化,不仅可以很好地表示复杂的几何图形,而且在使用计算资源方面具有优势。为了实时估计三维模型中的温度,模拟了模型外表面温度场的捕获。利用这些模拟的数据,提出了逆问题,并使用L-BFGS方法进行了求解。估计由于健康和患病组织的温度升高而造成的损害,因此模拟了治疗安全性的标准。分析了不同深度的肿瘤的数值例子,说明了这种方法的一些特殊性。

更新日期:2021-01-02
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