NONLINEAR BEHAVIOR AND THERMAL DAMAGE OF THERMAL LAGGING IN CONCENTRIC LIVING TISSUES SUBJECTED TO GAUSSIAN DISTRIBUTION SOURCE

Abstract

The effects of thermal lagging with high-order became essential to describe non-equilibrium heating in
tissues. This paper studies the temperature rise behavior in living tissues theoretically during the treatment by
magnetic tumor hyperthermia based on the non-linear form of the dual-phase-lag model. Experimentally, it was
found that the concentration of magnetic particles is in Gaussian distribution through the radial direction when
magnetic fluid is injected into the living tissue space. Hence, the governing partial differential equation in concentric
spherical space is solved in the Laplace transform domain. Some comparisons between the non-linear and linear
effects of phase-lag time’s parameters on bio-heat transfer have been studied and discussed. The thermal damage
quantity for the tumor has been calculated with different values of the phase-lag times. The results show that the nonlinear and linear effects of phase-lag times on bio-heat transfer have significant effects on the tumor, the tissue, and
the thermal damage quantity.