Inverse problem : an application in brain imaging and in cancerology

Inverse problem is a class of models in which we try to determine the causes of a phenomenon from the experimental observations of its effects. During my presentation, I will speak about two inverse problems that show similarities in their resolution. The first one is in magnetoencephalography where the goal is to find the activated brain regions thanks to measures of the magnetic field outside the skull. The second one is in cancerology where the goal is try to find the percentage of all cell types present in a tumor thanks to sequencing data.