Exact solution of thermal response in a three-dimensional living bio-tissue subjected to a scanning laser beam

At present, laser plays an important role in biomedical treatments and surgical techniques. To guarantee patients' safety, a deeply understanding of thermal responses of biological tissues during laser-tissue interaction is required. The existing analytical researches usually explore the bio-thermal process based on a one-dimensional heat conduction model because of the complication of the governing equations in three-dimensional case. The present study developed an analytical solution for the laser-tissue thermal interaction with a moving heat source based on a three-dimensional DPL thermal transfer model. The effects of the capillary vessel system and metabolism were under consideration. The expression of temperature in the cuboid bio-tissue was derived analytically by utilizing the Green's function approach and its accuracy was verified through agreement with a numerical simulation. The influences of the laser moving speed, the spot size of laser beam and the two parameters of relaxation times were discussed.