Study of the one dimensional and transient bioheat transfer equation: multi-layer solution development and applications.
Study of the one dimensional and transient bioheat transfer equation: multi-layer solution development and applications.
复制标题
一维瞬态生物传热方程的研究：多层解的开发和应用。
DOI：
10.1016/j.ijheatmasstransfer.2012.11.082
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发表时间：
2013
影响因子：
5.2
通讯作者：
Maccarini,PF
中科院分区：
文献类型：
--
作者：
Rodrigues,DB;Pereira,PJS;Limão-Vieira,P;Stauffer,PR;Maccarini,PF
在这项工作中，我们推导了贝塞尔级数给出的具有空间相关热源的多层区域中瞬态和一维 (1D) 生物传热方程的解析解。每个区域代表一个独立的生物组织，其特征在于温度不变的生理参数和线性温度依赖的代谢热产生。此外，使用一维笛卡尔、圆柱或球坐标来定义几何形状，并在内表面和外表面假设第一、第二和第三种温度边界条件。我们展示了所开发解决方案的两个临床应用示例。在第一个中，我们研究了两种不同的热源项来模拟肿瘤及其周围组织的加热，这些加热是在用于癌症治疗的磁流体热疗技术期间引起的。为了获得准确的解析解，我们确定与定义瞬态解的截断贝塞尔级数相关的误差。在第二个应用中，我们探索了该模型在多层人体头部模型（大脑、骨骼和头皮）中研究不同环境条件的影响的潜力。还研究了位于大脑内部的大血管的对流热传递效应。结果进一步与通过有限元法获得并使用 COMSOL Multiphysics v4.1© 计算的数值解进行了比较。
In this work we derive an analytical solution given by Bessel series to the transient and one-dimensional (1D) bioheat transfer equation in a multi-layer region with spatially dependent heat sources. Each region represents an independent biological tissue characterized by temperature-invariant physiological parameters and a linearly temperature dependent metabolic heat generation. Moreover, 1D Cartesian, cylindrical or spherical coordinates are used to define the geometry and temperature boundary conditions of first, second and third kinds are assumed at the inner and outer surfaces. We present two examples of clinical applications for the developed solution. In the first one, we investigate two different heat source terms to simulate the heating in a tumor and its surrounding tissue, induced during a magnetic fluid hyperthermia technique used for cancer treatment. To obtain an accurate analytical solution, we determine the error associated with the truncated Bessel series that defines the transient solution. In the second application, we explore the potential of this model to study the effect of different environmental conditions in a multi-layered human head model (brain, bone and scalp). The convective heat transfer effect of a large blood vessel located inside the brain is also investigated. The results are further compared with a numerical solution obtained by the Finite Element Method and computed with COMSOL Multiphysics v4.1©.