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<p>This study investigates the impact of varying thermal conductivity levels classified as weak, normal, and strong on temperature distribution through biological tissue. This study presents analytical solutions in the Laplace domain for a generalized fractional bioheat transfer model, enabling precise evaluation of temperature distribution and thermal damage in skin tissue subjected to pulse heat flux. By incorporating a Caputo fractional time derivative and thermal relaxation effect, the model captures non-Fourier, memory-dependent heat conduction behaviors commonly observed in biological tissues. The use of the Laplace transform simplifies the complex fractional partial differential equation into a more tractable form, allowing exact analysis of the effects of key parameters such as the fractional order and heat flux pulse time. Numerical findings on temperature distributions are presented graphically. Finally, a parametric analysis highlights critical design variables for optimizing heating efficiency in hyperthermia treatment.</p>

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The temperature distribution of a living tissue based on weak, normal, and strong thermal conductivities

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月1日

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  • Nadia A. Askar,
  • Fatimah A. Alshaikh,
  • Ibrahim A. Abbas,
  • Aboelnour N. Abdalla

摘要

This study investigates the impact of varying thermal conductivity levels classified as weak, normal, and strong on temperature distribution through biological tissue. This study presents analytical solutions in the Laplace domain for a generalized fractional bioheat transfer model, enabling precise evaluation of temperature distribution and thermal damage in skin tissue subjected to pulse heat flux. By incorporating a Caputo fractional time derivative and thermal relaxation effect, the model captures non-Fourier, memory-dependent heat conduction behaviors commonly observed in biological tissues. The use of the Laplace transform simplifies the complex fractional partial differential equation into a more tractable form, allowing exact analysis of the effects of key parameters such as the fractional order and heat flux pulse time. Numerical findings on temperature distributions are presented graphically. Finally, a parametric analysis highlights critical design variables for optimizing heating efficiency in hyperthermia treatment.