Reconstructing cardiac electrical activation with learned spatiotemporal regularization on unstruc-tured grids (C02)

• Subject Area: Mathematics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 539309657

This project aims to develop innovative numerical methods for reconstructing cardiac electrical potentials from highly sparse torso potential measurements ('inverse problem of electrocardiog-raphy'). A central innovation lies in replacing traditional handcrafted regularizers with learned regularizers in the corresponding variational formulation, seamlessly integrated within a finite element framework on unstructured grids. The reliability of the proposed method will be complemented by proving consistency with a limiting functional, deriving a posteriori error estimates, and quantifying measurement uncertainty through a multilevel version of MCMC.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1720: Analysis of criticality: from complex phenomena to models and estimates
• Applicant Institution: Rheinische Friedrich-Wilhelms-Universität Bonn
• Project Head: Professor Dr. Alexander Effland, since 7/2025