We develop strategies for tracking and quantifying (immune) cell populations or even single cells in long-term (days) whole-body PET studies in mice and humans. Our optimal transport regularized PET reconstructions of moving particles (1) can deal with much lower signal intensity than classical methods; this will be further improved by using whole body scanners, time of flight and MR information. Our digital phantoms (2) allow a systematic validation of our reconstruction methods and will be complemented with more enhanced physical phantoms.
The names of the principal investigators in our network have been bolded. Publications released prior to 2021, when funding for our network commenced, represent previous project-related work.
2026
Backhaus P, Cazzamalli S, Oehler S, Buther F, Brosch-Lenz J, Landau F, Breyholz H-J, Claesener M, Migliorini F, Ciamarone A, Georgiev T, Mock J, Ventura D, Barca C, Schiefelbein L, Hermann S, Schafers K, Gierse F, Bernemann C, Schlack K, Bogemann M, Puca E, Schindler P, Neri D, Rahbar K, Schrader AJ, Seifert KE, Schafers M. Translational and First-in-Human Positron Emission Tomography Targeting Prostatic Acid Phosphatase in Prostate Cancer Using the Ligand [(68)Ga]Ga-OncoACP3-DOTA. Eur Urol 2026;89: 305-310. Abstract
Marquardt N, Hengsbach T, Mauritz M, Wirth B, Schafers K. Motion Simulation of Radio-Labeled Cells in Whole-Body Positron Emission Tomography. IEEE Trans Med Imaging 2026;45: 919-930. Abstract
Papanikos G, Wirth B. A non-convex variational model for joint polyenergetic ct reconstruction, sensor denoising and material decomposition. Esaim: M2an 2026;60: 945-980. Abstract
Tenbrinck D, Uesseler N, Wacker P, Wirth B. On MAP Estimates and Source Conditions for Drift Identification in SDEs. Proc Appl Math and Mech 2026;26Abstract
2025
Mauritz M, Wirth B. Convergence of Poisson point processes and of optimal transport regularization with application in variational analysis of PET reconstruction. Inverse Problems 2025;41: 035002. Abstract
2024
Holler M, Schlüter A, Wirth B. Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space. Applied and Computational Harmonic Analysis 2024;70: 101631. Abstract
Holler M, Wirth B. Exact Reconstruction and Reconstruction from Noisy Data with Anisotropic Total Variation. SIAM J. Math. Anal. 2024;56: 2938-2967. Abstract
Margeta R, Schelhaas S, Hermann S, Schäfers M, Niemann S, Faust A. A novel radiolabelled salmochelin derivative for bacteria-specific PET imaging: synthesis, radiolabelling and evaluation. Chem Commun (Camb) 2024Abstract
Mauritz M, Schmitzer B, Wirth B. A Bayesian Model for Dynamic Mass Reconstruction from PET Listmode Data. SIAM J. Math. Anal. 2024;56: 5840-5880. Abstract
2023
Hahn B, Wirth B. Convex reconstruction of moving particles with inexact motion model. Proc Appl Math and Mech 2023;23Abstract
Horstmann M, Austrup M, Busch F, Faust A, Sperling M, Karst U, Clases D. Speciation analysis of Tc radiopharmaceuticals by HPLC-ICP-MS and HPLC-ESI-HRMS. J. Anal. At. Spectrom. 2023;38: 2038-2045. Abstract
2021
Clason C, Tameling C, Wirth B. Convex Relaxation of Discrete Vector-Valued Optimization Problems. SIAM Rev. 2021;63: 783-821. Abstract
2019
Schmitzer B, Wirth B. Dynamic models of Wasserstein-1-type unbalanced transport. Esaim: Cocv 2019;25: 23. Abstract
Schmitzer B, Wirth B. A Framework for Wasserstein-1-Type Metrics. J. Convex Anal. 2019;26: 353-396. Abstract
2018
Clason C, Tameling C, Wirth B. Vector-Valued Multibang Control of Differential Equations. SIAM J. Control Optim. 2018;56: 2295-2326. Abstract