2023/12/20 by Federico Herrero-Hervás, Herrero-Hervás, Federico, Angiolo Farína +1
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #Optical properties and cooling technologies in crystalline materials #Thermoelastic and Magnetoelastic Phenomena
paper · pdf · doi:10.48550/arxiv.2312.13457
openalex publication_date 2023/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new model is considered to describe the evolution of tissue temperature and water concentration during a thermal ablation process. The aim of this study is to expand the results obtained in Blauth et. al. 2020, where the tissue water concentration is considered as a known function, experimentally obtained. The model consists of two coupled equations: a parabolic partial differential equation for the temperature θ and an ordinary differential equation for the water content w. The equation for θ accounts for temperature diffusion, blood perfusion, the heat source provided by the laser applicator and the vaporization effects which act when the temperature approaches 100C. The equation for w accounts for the loss of tissue water that occurs during vaporization. The model equations are solved in a cylindrical domain around the laser applicator and the results are compared with the existing experimental data for porcine liver tissue from Hübner et. al. 2017.