Thermography process and topological asymptotic formula for tumor detection

Emna Ghezaiel (1) , Maatoug Hassine (2)

1 Université de Sousse
2 UM - Université de Monastir - University of Monastir

This work is concerned with a geometric inverse problem related to the thermography concept. The aim is the identification of the shape, size and location of a small embedded tumor from measured temperature on the skin surface. The temperature distribution in the biological tissue is governed by the Pennes model equation. Our proposed approach is based on the Kohn-Vogelius formulation and the topological sensitivity analysis method. The ill-posed geometric inverse problem is reformulated as a topology optimization one. The topological gradient is exploited for locating the zone containing the embedded tumor. The size and shape of the infected zone are approximated using the solution of a scalar parameter estimate problem. The efficiency and accuracy of the proposed approach are justified by some numerical simulations.

Mots clés: Bio-heat transfer; tumor reconstruction; Kohn-Vogelius formulation; topological sensitivity analysis; parabolic operator; topology optimization; numerical simulation

Domaines: Imagerie médicale; Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]; Cancer

Emna Ghezaiel, Maatoug Hassine. Thermography process and topological asymptotic formula for tumor detection. Colloque Africain sur la Recherche en Informatique et en Mathématiques Appliquées (CARI 2022), Oct 2022, Yaoundé-Dschang-Tunis, Cameroon. ⟨hal-03736374⟩