A Semi-Analytical Heterogeneous Model for Thermal Analysis of Cancerous Breasts

A. Ramírez-Torres (1) , Reinaldo Rodríguez-Ramos (2) , Aura Conci (3) , Federico J. Sabina (1) , C. García-Reimbert (1) , Luigi Preziosi (4) , J Merodio (5) , Frédéric Lebon (6)

1 UNAM - Universidad Nacional Autónoma de México = National Autonomous University of Mexico
2 Universidad de La Habana [Cuba]
3 UFF - Universidade Federal Fluminense [Rio de Janeiro]
4 Polito - Politecnico di Torino = Polytechnic of Turin
5 UPM - Universidad Politécnica de Madrid
6 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

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++.

Mots clés: Temperature; Cancerous breast; Asymptotic homogenization; Finite element method

Domaines: Cancer; Biophysique [physics.bio-ph]

A. Ramírez-Torres, Reinaldo Rodríguez-Ramos, Aura Conci, Federico J. Sabina, C. García-Reimbert, et al.. A Semi-Analytical Heterogeneous Model for Thermal Analysis of Cancerous Breasts. Eddie Y. K. Ng; Mahnaz Etehadtavakol. Application of Infrared to Biomedical Sciences, Springer, pp.175-190, 2017, Series in BioEngineering, ⟨10.1007/978-981-10-3147-2_11⟩. ⟨hal-01697070⟩