Congratulations to Charlotte Milano, who defended her thesis on December 5, 2025! Her work was carried out at the Reims Mathematics Laboratory and focused on “Numerical methods for electromagnetic mapping in medical imaging.” This applied mathematics work made it possible to formalize the problem of reconstructing electrical properties in MRI as an inverse problem, for which an identifiability result was demonstrated. A numerical method was developed, based on the “contrast source inversion method” (CSI), which allows the joint reconstruction of electrical properties (conductivity and permittivity) and the electric field, from images of the complex B1+ field measured by MRI, as well as a model of the radiofrequency transmission coil of the MRI system. The new algorithm offers extremely promising prospects for the ELECTRA project. Indeed, it allows for a more accurate reconstruction of electrical properties compared to conventional methods, which are very sensitive to errors at the boundaries between tissue classes. The advances made by WP5 on the modeling of the transmission coil should make it possible to apply the results of this thesis to real data from volunteers.
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