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

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

“…By virtue of this, the photons traveling through the laser-irradiated tissue medium undergo absorbing and multiple scattering events before emerging from its boundaries in the form of transmitted and/or reflected signals. The propagation of light intensity through a biological medium is generally mathematically modeled using the transient form of radiative transfer equation (RTE) [7,[10][11] and a wide range of numerical techniques have been developed and applied by various researchers for solving this integro-differential equation in the past. These numerical models include discrete ordinate method (DOM), discrete transfer method (DTM), finite volume method (FVM), two-flux method etc.…”

Numerical smearing, ray effect, and angular false scattering in radiation transfer computation

“…Processes requiring complete and accurate solutions to the equation of radiation transfer (ERT) include high-temperature combustion and material processing [3][4][5][6], fire and flame radiation [7][8][9], renewable solar energy [10], and biomedical therapeutic applications involving the interaction of biological tissue with light [11][12][13][14]. In the presence of radiation scattering, the ERT is an integro-differential equation, and analytic solutions are nearly impossible.…”