The role of malignant tissue on the thermal distribution of cancerous breast

JOURNAL OF THEORETICAL BIOLOGY

卷:426

Article

Ramirez-Torres, Ariel¹  Rodriguez-Ramos, Reinaldo²  Sabina, Federico J.³  Garcia-Reimbert, Catherine³  Penta, Raimondo⁴  Merodio, Jose⁴  Guinovart-Diaz, Raul²  Bravo-Castillero, Julian²  Conci, Aura⁵  Preziosi, Luigi¹ 

[1] Politecn Torino, Dipartimento Sci Matemat GL Lagrange, I-10129 Turin, Italy

[2] Univ La Habana, Fac Matemat & Computat, Dept Matemat, Havana 10400, Cuba

[3] Univ Nacl Autonoma Mexico, IIMAS, Apartado Postal 20-126, Mexico City 01000, DF, Mexico

[4] Univ Politecn Madrid, Dept Mecan Medios Continuos & Estruct T, ETS Caminos Canales & Puertos, E-28040 Madrid, Spain

[5] Univ Fed Fluminense, Inst Comp, ETS Caminos,Canales & Puertos, BR-24210346 Rio De Janeiro, Brazil

关键词: Heterogeneous breast cancer;    Thermography;    Asymptotic homogenization;   

DOI  :  10.1016/j.jtbi.2017.05.031

来源: Elsevier

【 摘 要 】

The present work focuses on the integration of analytical and numerical strategies to investigate the thermal distribution of cancerous breasts. Coupled stationary bioheat transfer equations are considered for the glandular and heterogeneous tumor regions, which are characterized by different thermophysical properties. The cross-section of the cancerous breast is identified by a homogeneous glandular tissue that surrounds the heterogeneous tumor tissue, which is assumed to be a two-phase periodic composite with non-overlapping circular inclusions and a square lattice distribution, wherein the constituents exhibit isotropic thermal conductivity behavior. Asymptotic periodic homogenization method is used to find the effective properties in the heterogeneous region. The tissue effective thermal conductivities are computed analytically and then used in the homogenized model, which is solved numerically. Results are compared with appropriate experimental data reported in the literature. In particular, the tissue scale temperature profile agrees with experimental observations. Moreover, as a novelty result we find that the tumor volume fraction in the heterogeneous zone influences the breast surface temperature. (C) 2017 Elsevier Ltd. All rights reserved.

【 授权许可】

Free