Abstract
In the present work coupled stationary bioheat transfer equations are considered. The cancerous breast is characterized by two areas of dissimilar thermal properties: the glandular and tumor tissues. The tumorous region is modeled as a two-phase composite where parallel periodic isotropic circular fibers are embedded in the glandular isotropic matrix. The periodic cell is assumed square. The local problem on the periodic cell and the homogenized equation are stated and solved. The temperature distribution of the cancerous breast is found through a numerical computation. A mathematical and computational model is integrated by FreeFem++.
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Acknowledgements
AR gratefully acknowledges the Program of Postdoctoral Scholarships of DGAPA from UNAM, Mexico. The authors would like to thank Professor Sébastien Martin, Université Paris Descartes, Paris, France for helpful discussions during the course of this work. Also, we thank Departamento de Matemáticas y Mecánica IIMAS-UNAM for their support and Ramiro Chávez Tovar and Ana Pérez Arteaga for computational assistance. JM acknowledges support from the Ministerio de Ciencia in Spain under the project reference DPI2014-58885-R. Thanks to the Project (7515) Métodos Físico-Matemáticos para el estudio de nuevos materiales y la propagación de ondas. Aplicaciones. A.C. is grateful to CNPq (Projects INCT-MACC and 303240/2015-6)
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Ramírez-Torres, A. et al. (2017). A Semi-Analytical Heterogeneous Model for Thermal Analysis of Cancerous Breasts. In: Ng, E., Etehadtavakol, M. (eds) Application of Infrared to Biomedical Sciences. Series in BioEngineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-3147-2_11
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