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ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
AN INVERSE GEOMETRIC BIOHEAT TRANSFER PROBLEM FOR THE DETECTION OF BREAST TUMOURS
Submission Author:
Jan Rocha , MG
Co-Authors:
Jan Rocha, Felipe Loureiro
Presenter: Jan Rocha
doi://10.26678/ABCM.ENCIT2020.CIT20-0162
Abstract
In recent years, the clinical diagnosis of breast tumours by means of thermal analysis has received increasing attention as a non-invasive and less expensive alternative to classic techniques. In this paper, the inverse problem to estimate the geometric parameters of a circular tumour in a multilayered breast model composed of five tissue layers by taking into account the prior knowledge of the breast skin temperature is analysed. The many forward problems, mathematically modelled by the Pennes’ equation, required in the inverse analysis are numerically solved by the Finite Element Method through the software Wolfram Mathematica. The inverse problem is posed as an optimization problem and solved by a binary Genetic Algorithm (GA) written in C language. Aiming at studying the effectiveness of the GA, a noise (uncertainty) is inserted into the reference data (breast skin temperature) in order to mimic experimental thermal measurement errors inherent in real cases. In both analysed cases (with and without noise) the algorithm was able to find with a considerable precision the center and radius of the tumour, revealing to be a promising method in the detection of tumours near the skin surface.
Keywords
Geometric Inverse Problem, genetic algorithm, Pennes’ Bioheat transfer, Finite Element Method
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