A semi-analytical heterogeneous model for thermal analysis of cancerous breasts

Ramírez-Torres, A. , Rodríguez-Ramos, R., Conci, F.J., García-Reimbert, C., Preziosi, L., Merodio, J. and Lebon, F. (2017) A semi-analytical heterogeneous model for thermal analysis of cancerous breasts. In: Ng, E. Y.K. and Etehadtavakol, M. (eds.) Application of Infrared to Biomedical Sciences. Series: Series in BioEngineering. Springer: Singapore, pp. 175-190. ISBN 9789811031465 (doi:10.1007/978-981-10-3147-2_11)

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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++.

Item Type:Book Sections
Status:Published
Glasgow Author(s) Enlighten ID:Ramirez Torres, Dr Ariel
Authors: Ramírez-Torres, A., Rodríguez-Ramos, R., Conci, F.J., García-Reimbert, C., Preziosi, L., Merodio, J., and Lebon, F.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Publisher:Springer
ISBN:9789811031465
Published Online:25 March 2017

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