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<p>This work presents a unified bioheat transfer model that integrates dual-phase-lag (DPL) heat conduction, memory-dependent derivatives (MDD), and nonlocal elasticity to capture the complex thermal and mechanical behavior of skin tissue under localized heating. The model incorporates nonlinear kernel functions to represent temporal memory effects and spatial heterogeneity, enabling a more realistic simulation of thermal wave propagation and stress development. Analytical solutions are obtained through Laplace and Fourier transforms, with Zakian’s method applied for numerical inversion. The results demonstrate that the combined influence of DPL, MDD, and nonlocality significantly enhances thermal precision, modulates stress distribution, and governs displacement dynamics during thermal shock. The interaction between blood perfusion temperature and stress response demonstrates physiologically consistent thermoregulatory patterns. These findings highlight the potential of the proposed framework to inform personalized thermotherapy protocols, particularly in managing conditions such as diabetic ulcers and superficial burn injuries.</p>

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Memory-driven dual-phase-lag bioheat modeling with nonlocal elasticity: kernel-based precision in skin-layer thermotherapy

  • 期刊论文

  • 发表日期：

    2026年1月7日

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  • Nitin Bhondge,
  • Suryakant Charjan,
  • Abhik Sur,
  • Leena Sarode

摘要

This work presents a unified bioheat transfer model that integrates dual-phase-lag (DPL) heat conduction, memory-dependent derivatives (MDD), and nonlocal elasticity to capture the complex thermal and mechanical behavior of skin tissue under localized heating. The model incorporates nonlinear kernel functions to represent temporal memory effects and spatial heterogeneity, enabling a more realistic simulation of thermal wave propagation and stress development. Analytical solutions are obtained through Laplace and Fourier transforms, with Zakian’s method applied for numerical inversion. The results demonstrate that the combined influence of DPL, MDD, and nonlocality significantly enhances thermal precision, modulates stress distribution, and governs displacement dynamics during thermal shock. The interaction between blood perfusion temperature and stress response demonstrates physiologically consistent thermoregulatory patterns. These findings highlight the potential of the proposed framework to inform personalized thermotherapy protocols, particularly in managing conditions such as diabetic ulcers and superficial burn injuries.