Analysis of a Hyperbolic Heat Transfer Model in Blood-perfused ‎Biological Tissues with Laser Heating

Document Type : Research Paper


Department of Mathematical and Computer Science, Physical Sciences and Earth Sciences, University of Messina,‎ Viale F. Stagno d’Alcontres 31, Messina, 98166, Italy


This paper proposes a hyperbolic heat transport model for a homogeneously perfused biological tissue irradiated by a laser beam. In particular, involving two local energy equations, one for the blood vessel and the other for the tissue, a non-Fourier-like heat equation is introduced and solved analytically using the Laplace transform method. The generalized hyperbolic model obtained is reduced to Pennes' heat transport equation in case the thermal delay time is zero and the solution obtained is in accordance with the numerical and experimental data existing in the literature. In addition, the achieved results also show that the effects of thermal relaxation and blood perfusion on temperature distribution are similar; indeed the highest temperature is expected when the delay time tR increases during tissue cooling. Finally, the consequences of the change in the values of the physical parameters characterizing the model are described and the effect of thermal relaxation on the temperature profile in the tissue during and after laser application is investigated.


Main Subjects

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