Brandt, ChristinaChristinaBrandtKluth, TobiasTobiasKluthKnopp, TobiasTobiasKnoppWesten, LenaLenaWesten2024-09-102024-09-102024-07-15SIAM Journal on Imaging Sciences 17 (3): 1539-1586 (2024)https://hdl.handle.net/11420/48998Various imaging modalities allow for time-dependent image reconstructions from measurements where its acquisition also has a time-dependent nature. Magnetic particle imaging (MPI) falls into this class of imaging modalities and it thus also provides a dynamic inverse problem. Without proper consideration of the dynamic behavior, motion artifacts in the reconstruction become an issue. More sophisticated methods need to be developed and applied to the reconstruction of the time-dependent sequences of images. In this context, we investigate the incorporation of motion priors in terms of certain flow-parameter-dependent PDEs in the reconstruction process of time-dependent three dimensional (3D) images in magnetic particle imaging. The present work comprises the method development for a general 3D+time setting for time-dependent linear forward operators, analytical investigation of necessary properties in the MPI forward operator, modeling aspects in dynamic MPI, and extensive numerical experiments on 3D+time imaging including simulated data as well as measurements from a rotation phantom and in vivo data from a mouse.en1936-49542024315391586Society for Industrial and Applied Mathematicshttps://creativecommons.org/licenses/by/4.0/dynamic 3D image reconstructionjoint parameter identificationmagnetic particle imagingmotion modelsTechnology::620: EngineeringNatural Sciences and Mathematics::530: PhysicsTechnology::610: Medicine, HealthComputer Science, Information and General Works::006: Special computer methodsJournal Article10.15480/882.1327510.1137/23M158040110.15480/882.13275Journal Article