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Abstract <p>This paper presents an analytical solution to the nonlocal bioheat equation under the influence of an intense moving heating source. The solution is derived in the Laplace transform domain, and thermal injury to biological tissue is quantified using the Arrhenius equation to assess protein denaturation. When the nonlocal parameter and thermal relaxation time are zero, the study shows that the nonlocal bioheat model converges with the parabolic bioheat model. Numerical simulations illustrate temperature distributions and thermal damage profiles with nonlocal impacts, highlighting the impact of heat source speed on living tissue temperature and thermal damage. These findings provide a foundation for validating practical applications such as scanning laser treatments and numerical solution methodologies.</p>

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The Nonlocal Effects on Thermal Damage in Living Tissue Due to an Intense Moving Heat Source

  • 期刊论文

  • 发表日期：

    2025年4月22日

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  • Areej Almuneef,
  • Ibrahim Abbas,
  • Alaa A. El-Bary,
  • Zuhur Alqahtani

摘要

Abstract

This paper presents an analytical solution to the nonlocal bioheat equation under the influence of an intense moving heating source. The solution is derived in the Laplace transform domain, and thermal injury to biological tissue is quantified using the Arrhenius equation to assess protein denaturation. When the nonlocal parameter and thermal relaxation time are zero, the study shows that the nonlocal bioheat model converges with the parabolic bioheat model. Numerical simulations illustrate temperature distributions and thermal damage profiles with nonlocal impacts, highlighting the impact of heat source speed on living tissue temperature and thermal damage. These findings provide a foundation for validating practical applications such as scanning laser treatments and numerical solution methodologies.