Numerical analysis for determination of the presence of a tumor and estimation of its size and location in a tissue

• Published in: Journal of thermal biology 2013-01, Vol.38 (1), p.32-40
• Main Authors: Das, Koushik, Singh, Rupesh, Mishra, Subhash C.
• Format: Article
• Language: English
• Subjects: Bioheat transfer equation; Biology; Body Temperature; Brain Neoplasms - pathology; Brain Neoplasms - physiopathology; Breast Neoplasms - pathology; Breast Neoplasms - physiopathology; Cancer; Female; Finite volume method; Humans; Inverse; Inverse analysis; Mathematical analysis; Mathematical models; Models, Biological; Numerical analysis; Organ Specificity; Parameter estimation; Position (location); Temperature distribution; Temperature estimation; Tumor Burden; Tumors
• ISSN: 0306-4565; 1879-0992
• DOI: 10.1016/j.jtherbio.2012.10.003

This article deals with the numerical analysis to ascertain the presence of a tumor and to estimate its size and location in a tissue. Heat transfer in the tissue is modeled using the Pennes bioheat transfer equation, and is solved using the finite volume method. Consideration is given to 1-D brain and breast tissues. Temperature distributions in the tissues are specific to the tumor grades, its locations and sizes, and these are different than that of a normal tissue. With temperature distribution known a priori, estimations of the position and the size of a tumor are done using the inverse analysis. The proposed approach gives a correct estimation of the presence of a tumor and its location and size. ► Presence of a tumor in tissue was investigated numerically. ► Consideration was given to 1-D brain and breast tissues. ► The Pennes bioheat equation was solved. ► Analysis was done using finite volume method. ► Inverse analysis was done using direct search method.