Macroscopic thermal profile of heterogeneous cancerous breasts. A three-dimensional multiscale analysis

Marchena-Menéndez, J., Ramírez-Torres, A. , Penta, R. , Rodríguez-Ramos, R. and Merodio, J. (2019) Macroscopic thermal profile of heterogeneous cancerous breasts. A three-dimensional multiscale analysis. International Journal of Engineering Science, 144, 103135. (doi: 10.1016/j.ijengsci.2019.103135)

213045.pdf - Accepted Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.



The present work focuses on a multiscale analysis of temperature maps for cancerous breasts. A three-dimensional model is proposed based on a system of bioheat transfer equations for the healthy and cancerous breast regions, which are characterized by different microstructure and thermophysical properties. The geometrical model of the cancerous breast is identified by the presence of muscle, glandular and fat tissues, as well as the heterogeneous tumorous tissue. The latter is assumed to be a two-phase periodic composite with spherical inclusions. A cubic lattice distribution is chosen, wherein the constituents exhibit isotropic thermal conductivity behavior. The tissue effective thermal conductivities are computed by means of the asymptotic homogenization approach, i.e. by solving relevant periodic problems on the cell which is representative of the malignant tissue microstructure. These are then exploited to solve the macroscale homogenized model by finite elements. The obtained results, in terms of temperature maps, are successfully compared with relevant experiments and could pave the way towards the development of a robust multiscale mathematical framework featuring microstructural information which can be useful in cancer diagnosis. This approach could provide qualitative and quantitative hints that can be used to improve tumor detection based on temperature maps of the breast tissue.

Item Type:Articles
Additional Information:ART acknowledges the Dipartimento di Scienze Matematiche (DISMA) “G.L. Lagrange” of the Politecnico di Torino, “Dipartimento di Eccellenza 2018–2022” (‘Department of Excellence 2018–2022’). RR thanks to Departamento de Matemática y Mecánica- IIMAS and PREI-DGAPA, UNAM Mexico for the support and also to Ana Arteaga, Ramiro Chávez for the computational assistance.
Glasgow Author(s) Enlighten ID:Penta, Dr Raimondo and Ramirez Torres, Dr Ariel
Authors: Marchena-Menéndez, J., Ramírez-Torres, A., Penta, R., Rodríguez-Ramos, R., and Merodio, J.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:International Journal of Engineering Science
ISSN (Online):1879-2197
Published Online:14 August 2019
Copyright Holders:Copyright © 2019 Elsevier Ltd.
First Published:First published in International Journal of Engineering Science 144:103135
Publisher Policy:Reproduced in accordance with the publisher copyright policy

University Staff: Request a correction | Enlighten Editors: Update this record