Analysis under Uncertainty with the Monte Carlo Method Applied to a Bioheat Transfer Problem with Coupled Deep Brain Stimulation Lead

Q4 Physics and Astronomy

Defect and Diffusion Forum Pub Date : 2023-07-14 DOI:10.4028/p-b6Ix0E

Caroline Ribeiro Pereira, L. A. Abreu, D. Knupp, L. Jardim, Matheus Henrique da Silva Siqueira

引用次数: 0

Abstract

This article deals with an analysis of uncertainties applied to a bioheat transfer problem containing a deep brain stimulation lead. The classic two-dimensional bioheat transfer equation in cylindrical coordinates was considered in the mathematical formulation. The electric potential was solved with a Laplace equation to incorporate the DBS lead effects. Thus, the solution for the electric potential was coupled to the temperature problem, considering an external heat transfer rate. The analysis under uncertainties was performed by the Monte Carlo method considering different types of uncertainties for all parameters of the mathematical model. The uncertainties were chosen according to the information available in the literature in order to analyze the problem more realistically. The solutions showed a significant variation in the temperature profile over time when considering the random variations in the parameters.

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不确定条件下蒙特卡罗方法在耦合深部脑刺激导联生物传热问题中的应用

本文分析了应用于包含脑深部刺激导线的生物热传递问题的不确定性。数学公式中考虑了柱坐标系下的经典二维生物传热方程。电势用拉普拉斯方程求解，以结合DBS铅效应。因此，考虑到外部传热率，电势的解决方案与温度问题相结合。考虑到数学模型所有参数的不同类型的不确定性，采用蒙特卡罗方法进行不确定性分析。为了更现实地分析问题，根据文献中的可用信息选择了不确定性。当考虑参数的随机变化时，这些解决方案显示出温度分布随时间的显著变化。

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

Defect and Diffusion Forum Physics and Astronomy-Radiation

CiteScore

1.20

自引率

0.00%

发文量

127

期刊介绍： Defect and Diffusion Forum (formerly Part A of ''''Diffusion and Defect Data'''') is designed for publication of up-to-date scientific research and applied aspects in the area of formation and dissemination of defects in solid materials, including the phenomena of diffusion. In addition to the traditional topic of mass diffusion, the journal is open to papers from the area of heat transfer in solids, liquids and gases, materials and substances. All papers are peer-reviewed and edited. Members of Editorial Boards and Associate Editors are invited to submit papers for publication in “Defect and Diffusion Forum” . Authors retain the right to publish an extended and significantly updated version in another periodical.