Conveners
Contributed Talks: Session 2
- Kristian Bredies (University of Graz)
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Prof. Barbara Kaltenbacher (University of Klagenfurt)20/05/2026, 14:05
In this talk we provide some uniqueness results for the (multi-)coefficient identification problem of reconstructing the spatially varying spin density as well as the spin-lattice and spin-spin relaxation times and the local field inhomogeneity in the Bloch-Torrey equation, as relevant in magnetic resonance imaging MRI.
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To this end, we follow two approaches:
(a) Relying on sampling of the... -
Mr Pablo Muñoz (Klagenfurt Universität)20/05/2026, 14:30
We present a computational framework for model-based quantitative imaging through the identification of spatially varying relaxation parameters in the Bloch-Torrey equation, a time dependent PDE governing magnetization dynamics in magnetic resonance imaging. The equation couples RF induced precession, longitudinal and transverse relaxation, and diffusion advection transport, a structure that...
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Dr Jyrki Jauhiainen (University of Graz)20/05/2026, 14:55
This talk gives a nontechnical introduction to PDE-constrained bilevel optimization problems with nonsmooth lower levels. The PDE constraints considered here are simplifications of the Bloch--Torrey equation from MRI, with the bilevel structure modelling a parameter learning problem. We discuss how complementarity conditions arising from first-order information are connected to the...
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Mr Jakob Wagner (Technical University of Munich)20/05/2026, 15:20
Modern 4D-MRI imaging techniques are able to capture fully space-time resolved blood flow velocity data. This data facilitates a diagnosis of the severity of cardiovascular diseases, provided that, in a first step, additional information such as pressure, wall-shear stresses, etc., is inferred from the measured data. In this talk, we treat the inverse problem of deducing pressure values from...
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