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Positron emission tomography (PET) is an in-vivo method for imaging biological processes via the detection of pairs of 511 keV annihilation gamma rays. A recent shift in medicine from the treatment of obvious diseases to an early diagnosis and prevention is leading to more stringent requirements on PET sensitivity, while the advances in targeted radionuclide therapy require a need for more widespread and accurate PET. Promising advances in the instrumentation required for this evolution come again from particle physics. In the seminar, we will discuss two innovation areas, flexible limited-angle PET scanners and scanners based on Cherenkov radiation.