Estimation of Temperature Distribution in Biological Tissue by Analytic Solutions of Pennes´ Equation

Based on the Pennes´ bioheat transfer equation, the interior temperature distribution of biological tissue has been studied in this paper. The one-dimensional steady state bioheat transfer equation is solved and the analytic solutions are deduced to obtain the temperature changes with the depth variation under the different boundary conditions. Combined with the Pennes´ experiment data and Wissler´s research results, the analytic solutions calculate the interior temperature distribution of human forearm which are well consistent with the known conclusion. From the calculation results, the optimal boundary conditions to calculate the interior temperature distribution are obtained. The results show that the analytic solutions are valuable for temperature field reconstruction, and can be extended to the thermal behavior research of biological system, thermal parameters measurement, and clinical therapy.