Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
SOLUTION OF THE THREE-DIMMENSIONAL TRANSIENT PENNES’ BIOHEAT EQUATION USING GREEN’S FUNCTIONS CONSIDERING BLOOD PERFUSION AND METABOLISM
Submission Author:
Eduardo Peixoto de Oliveira , MG
Co-Authors:
Eduardo Peixoto de Oliveira, Gilmar Guimaraes
Presenter: Eduardo Peixoto de Oliveira
doi://10.26678/ABCM.COBEM2019.COB2019-0948
Abstract
Bio-heat transfer is an important tool to understand the thermal behavior of living organisms, aiding in diagnosis of diseases and infections and surgical procedures involving cryogenic and ablation methods. To model such phenomena, the classical heat diffusion equation must be altered, including blood perfusion and metabolism effects that are inherent in living tissues.In this sense, Pennes proposed an equation that models blood perfusion as proportional to the difference between the internal and external temperatures of a living tissue and includes metabolism as a source term. Such terms make it difficult to obtain an analytical solution, leading most authors to numerical methods, due to inhomogeneities and source terms.In the present work, an analytical solution of a three-dimensional and transient problem is obtained, taking into account the presence of metabolism and perfusion in a phantom tissue sample exposed to a convective medium via Green’s functions. It helps, for example, the use of diagnostic techniques based on thermal imaging, allowing the analysis of inclusions influence that can simulate the presence of a tumor.
Keywords
Bio-heat transfer, Analytical Solution, Green's functions, Pennes' equation
