Eigenvalue approach for investigating thermal and mechanical responses on living tissues during laser irradiation with experimental verification

Abstract

This study provides analytical solutions for the non-Fourier theory, which accounts for bioheat transfer in biological tissue when exposed to laser irradiation. To perform thermal treatment procedures effectively, a thorough comprehension of both the heat transmission mechanism and the subsequent thermal and mechanical interaction within the patient's human tissue is essential. The assessment of thermal injuries to the tissue involves determining the extent of denatured proteins using the Arrhenius formulation. The bio-thermoelastic model presented employs Laplace transforms and analytical techniques to establish governing formulations. Subsequently, an eigenvalues scheme is utilized to derive solutions to these equations. Graphical representations of the results for temperature, displacements, and stress are provided. The analytical solution's accuracy is verified through a comparison with numerical and experimental data. Results indicate that, when both have zero thermal lag times, the generalized non-Fourier model aligns with the Pennes bioheat transfer model. Furthermore, the effectiveness of the mathematical model in evaluating bioheat transfer in biological tissues is validated by comparing it with established experimental data.