A crash course on computational mathematics for medical imaging
The objective of this crash course is to introduce and discuss mathematical models for the data formation process in medical imaging and computational methods for the numerical reduction of such models.
Outline of the course: Introduction: overview of medical imaging modalities, mathematical models and computational methods; Structural imaging – X-ray tomography: the Radon transform and its inversion, uniqueness and stability issues, imaging methods (filtered back projection, expectation maximization); Structural imaging – magnetic resonance imaging: the signal formation model, Fourier-based imaging; Functional imaging – parametric imaging: tracers and tracer kinetics, compartmental models, uniqueness issues, inversion methods; Functional imaging – neurophysiology: signal formation models in EEG and MEG, source modelling, connectivity issues, artificial intelligence for patients’ stratification.
Schedule:
Monday 16 January 2023, 14:30–16:15;
Tuesday 17 January 2023, 10:30–12:15;
Wednesday 18 January 2023, 10:30–12:15;
Thursday 19 January 2023, 10:30–12:15 and 14:30–16:15.
The course is offered by the PhD course in Mathematical and Physical Sciences of the University of Udine. Course page: https://www.dmif.uniud.it/dottorato/smf/offerta-didattica/a-crash-course-on-computational-mathematics-for-medical-imaging/.
Michele Piana
Michele Piana is Full Professor of Numerical Analysis at the Department of Mathematics of the University of Genoa, where he coordinates the activities of the research group ‘Methods for Image and Data Analysis (MIDA)’. He is Scientific Director of the ‘Life Science Computational Lab (LISCOMP)’ at the IRCCS “Ospedale Policlinico San Martino” and co-Investigator of the STIX mission in Solar Orbiter of the European Space Agency. He is coordinator of the AI-FLARES project funded by the National Institute of Astrophysics and spoke coordinator within the Digital Health Solutions in Community Medicine (DHEAL-COM) project, funded within the National Complementary Plan, Next Generation EU. He is a member of the Scientific Technical Committee for the establishment of the Center for Computational and Technological Medicine selected as a Flagship Project of the PNRR. He is a member of the Boards of Directors of the Italian Society of Applied and Industrial Mathematics, and of the Space Weather Italian Community. He is the author of more than one hundred publications on international journals, on the topics of computational medicine, computational astrophysics, and artificial intelligence. (https://www.dima.unige.it/~piana/)
