Analytical solution of the bioheat equation for thermal response induced by any electrode array in anisotropic tissues with arbitrary shapes containing multiple-tumor nodules



Document title: Analytical solution of the bioheat equation for thermal response induced by any electrode array in anisotropic tissues with arbitrary shapes containing multiple-tumor nodules
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000438813
ISSN: 0035-001X
Authors: 1
2
3
Institutions: 1Universidad de Oriente, Facultad de Ciencias Naturales y Exactas, Santiago de Cuba. Cuba
2Universidad de Oriente, Centro Nacional de Electromagnetismo Aplicado, Santiago de Cuba. Cuba
3Instituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, Ciudad de México. México
Year:
Season: May-Jun
Volumen: 65
Number: 3
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract The Pennes bioheat transfer equation is the most used model to calculate the temperature induced in a tumor when physical therapies like electrochemical treatment, electrochemotherapy and/or radiofrequency are applied. In this work, a modification of the Pennes bioheat equation to study the temperature distribution induced by any electrode array in an anisotropic tissue containing several nodules (primary or metastatic) with arbitrary shape is proposed. For this, the Green functions approach is generalized to include boundaries among two or more media. The analytical solution we obtain in a very compact way, under quite general assumptions, allows calculating the temperature distributions in the tumor volumes and their surfaces, in terms of heat sources, initial temperature and calorific sources at the boundary of tumors
Disciplines: Física y astronomía
Keyword: Física,
Corriente eléctrica,
Función de Green,
Campo eléctrico,
Anisotropía tumoral
Keyword: Physics,
Bioheat equation,
Green function,
Electric field,
Electric current,
Tumor anisotropy
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