Purpose

The system of equations for fractional thermo-viscoelasticity is used to investigate two-dimensional bioheat transfer and heat-induced mechanical response in human skin tissue with rheological properties.

Design/methodology/approach

Laplace and Fourier’s transformations are used. The resulting formulation is applied to human skin tissue subjected to regional hyperthermia therapy for cancer treatment. The inversion process for Fourier and Laplace transforms is carried out using a numerical method based on Fourier series expansions.

Findings

Comparisons are made with the results anticipated through the coupled and generalized theories. The influences of volume materials properties and fractional order parameters for all the regarded fields are examined. The results indicate that volume relaxation parameters, as well as fractional order parameters, play a major role in all considered distributions.

Originality/value

Bio-thermo-mechanics includes bioheat transfer, biomechanics, burn injury and physiology. In clinical applications, knowledge of bio-thermo-mechanics in living tissues is very important. One can infer from the numerical results that, with a finite distance, the thermo-mechanical waves spread to skin tissue, removing the unrealistic predictions of the Pennes’ model.

中文翻译：

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对具有流变特性的生物组织的二维热机械分数响应

目的

分数热粘弹性方程组用于研究具有流变特性的人体皮肤组织中的二维生物传热和热诱导机械响应。

设计/方法/方法

使用拉普拉斯和傅立叶变换。将所得制剂应用于接受局部热疗以治疗癌症的人体皮肤组织。傅里叶和拉普拉斯变换的反演过程是使用基于傅里叶级数展开的数值方法进行的。

发现

与通过耦合和广义理论预期的结果进行比较。检查了体积材料特性和分数阶参数对所有相关领域的影响。结果表明，体积松弛参数以及分数阶参数在所有考虑的分布中都起着重要作用。

原创性/价值

生物热力学包括生物传热、生物力学、烧伤和生理学。在临床应用中，了解活体组织中的生物热力学知识非常重要。人们可以从数值结果中推断出，在有限的距离内，热机械波会传播到皮肤组织，从而消除了 Pennes 模型的不切实际的预测。