Bioheat transfer problem for one-dimensional spherical biological tissues

- We analytically solved bioheat transfer problems for the spherical living biological tissues.
- We used the exact solution to study the tissue temperature distribution in radial direction.
- The effects of tissue parameters on temperature distribution are investigated.
- The effect of ambient conditions and heating source on temperature distribution is also analyzed.
- Our analytical exact solution is found to be very useful for a variety of bio-thermal studies.

Based on the Pennes bioheat transfer equation with constant blood perfusion, we set up a simplified one-dimensional bioheat transfer model of the spherical living biological tissues for application in bioheat transfer problems. Using the method of separation of variables, we present in a simple way the analytical solution of the problem. The obtained exact solution is used to investigate the effects of tissue properties, the cooling medium temperature, and the point-heating on the temperature distribution in living bodies. The obtained analytical solution can be useful for investigating thermal behavior research of biological system, thermal parameter measurements, temperature field reconstruction and clinical treatment.