Multi-time-scale heat transfer modeling of turbid tissues exposed to short-pulsed irradiations

Bio-heat transfer analysis during short pulse laser irradiation of tissues

“…To solve the hyperbolic heat conduction equations, MacCormack's predictor-corrector scheme is adopted. For information on the numerical schemes and accuracy validations, please refer to the recent publications of the co-authors [46,50]. Therefore, the details of the numerical methods are not repeated here.…”

Can Diffusions Propagate?

“…Transport at effectively bounded velocity is encountered in many different contexts, from astrophysics [23] and fusion plasma physics [15,25] to metal [18,22] and computer engineering [4], and even tumor treatment [19,21]. Finding physically and mathematically sound models of such transport is a long standing problem of statistical physics [3,8,16,17,27].…”

Thermal analysis of laser-irradiated tissue phantoms using dual phase lag model coupled with transient radiative transfer equation

“…However, it has been experimentally as well as numerically demonstrated by a group of researchers [11,16] that the temperature values as predicted by Fourier law of heat conduction do not accurately match with the experimental predictions. The discrepancy in the results has been attributed to the inherent assumption of infinite speed of thermal wave propagation through the body of the laser-irradiated biological sample, as made in the standard Fourier models [17,18]. Moreover, Fourier law shows limitations in applications wherein one employs short duration laser pulses, temperatures of the range of cryogenics, studying the thermal responses of non-homogeneous structures such as biological samples etc.…”