Analytical thermal-optic model for laser heating of biological tissue using the hyperbolic heat transfer equation

Math Med Biol. 2009 Sep;26(3):187-200. doi: 10.1093/imammb/dqp002. Epub 2009 Feb 20.


In this paper, we solve in an analytical way the thermal-optic coupled problem associated with a 1D model of non-perfused homogeneous biological tissue irradiated by a laser beam. We consider a laser pulse duration of 200 micros and study the temperatures of areas very close to the point of laser beam application. We consider that these values of the temporal and spatial variables mean that the problem has to be solved by means of the hyperbolic heat conduction model instead of the classic or parabolic model. We therefore obtain the solution using both models and apply the temperature profiles obtained to a specific biological tissue for comparison. Finally, we theoretically study the effect of the thermal relaxation time on the temperature profiles in the tissue for both heating and cooling phases (i.e. during and after laser application).

Publication types

  • Comparative Study
  • Research Support, Non-U.S. Gov't

MeSH terms

  • Cornea / surgery*
  • Hot Temperature / therapeutic use*
  • Lasers, Solid-State / therapeutic use*
  • Models, Theoretical*
  • Numerical Analysis, Computer-Assisted