Hyperthermia mathematical modeling in living tissue with arteries and veins

Abstract

Blood flow greatly affects heat transfer in living tissue and has many applications in medical treatments. The existence of vessels has always been a challenge for modeling living tissue analytically in engineering studies related to bioheat transfer. In this article, the vessels are considered a heat source or sink, and the heat from the bloodstream is given or taken to the tissue. The heat generated in living tissue by continuous and pulsed lasers during the hyperthermia process and the effect of blood flow within the arteries and veins on tissue temperature distribution are solved analytically. The unsteady Fourier and non-Fourier equations for tissue are analytically solved by considering the vessels and blood perfusion within the tissue. The analytical solution results in both Fourier and non-Fourier models showed that the vessel could be modelled as a heat source/sink inside the tissue. The temperature distributions in the numerical and analytical solutions are completely similar. The results show that vessels have an effect of about ±0.6 °C on tissue during laser therapy. © 2022