Defence of doctoral thesis in the field of mathematics, M.Sc. Valentina Candiani

Title of the doctoral thesis is "Computational approaches in electrical impedance tomography with applications to head imaging"

Medical imaging refers to several different techniques that are used to image the interior of a human body based on exterior measurements in order to diagnose, monitor and treat medical conditions. This dissertation is aimed at understanding how Electrical Impedance Tomography can be valuable as a noninvasive medical imaging modality, in particular for its application to the detection and classification of stroke.

The objective of Electrical Impedance Tomography is to reconstruct information on the conductivity distribution inside the examined physical body from boundary measurements of currents and voltages. Due to the distinct conductivity levels of different tissues, mapping the internal conductivity of a human body allows one to, e.g., detect possible anomalies.

Mathematically, the associated inverse problem presents several theoretical and numerical challenges, and, in real-life applications, measurement and modelling errors considerably deteriorate the available data. The purpose of the research at hand is to develop algorithms and methods for handling such realistic measurement settings.

To this end, a novel computational three-dimensional head model is introduced and utilized to simulate realistic synthetic measurements on a finite number of contact electrodes. The examined solution strategies for the inverse problem correspond to different methodologies, ranging from regularized iterative reconstruction algorithms to machine learning techniques. The performance of the developed methods is assessed via three-dimensional simulated experiments.

Opponent is Professor Erkki Somersalo, Case Western Reserve University, USA

Custos is Professor Nuutti Hyvönen, Aalto University School of Science, Department of Mathematics and Systems Analysis

Contact details of the doctoral student: [email protected]

The public defence will be organised via Zoom and on campus. Link to the event

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The doctoral thesis is publicly displayed 10 days before the defence in the publication archive Aaltodoc of Aalto University.

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