Computational Study on Single-Phase Lag and Dual-Phase Lag Bio-Heat Models of Heat Transfer in Irregular Tumors During Magnetic Nanoparticles Hyperthermia

The ability to accurately predict and control the tissue temperature distribution profile is critical to the success of hyperthermia treatment. Magnetic nanoparticle hyperthermia is a subclass of hyperthermia treatment that can selectively heat a tumor without damaging the surrounding healthy tissues. Living tissues are highly nonhomogeneous, and non-Fourier thermal behavior is observed experimentally in tissues. The two-dimensional single phase lag and dual phase lag models with non-Fourier boundary conditions have been considered to investigate the temperature profile in biological tissues during hyperthermia treatment. Arbitrary-shaped and circular-shaped tumor tissue domains surrounded by healthy circular tissue are considered for simulation. We obtain the numerical solution for the models by combining Gaussian radial basis functions (RBFs) and shifted Chebyshev polynomials for the spatial and temporal directions, respectively. The impacts of phase lag times $(τq,τT)$ and heat source parameters $(H0,ϕ,f)$ on thermal responses in tumors are investigated. The analysis shows that tumor domains are heated without causing much harm to the healthy tissue domain.