Research Foci
- Inverse Problems
- Mathematical Imaging
- Medical Imaging
- Mathematical Modelling and Simulation in Biomedicine
- Partial Differential Equations
Research AG Imaging
Projects
- NoMADS – Nonlocal Methods for Arbitrary Data Sources ( – )
EU-Project Hosted outside the University of Münster: EC H2020 - Marie Skłodowska-Curie Actions - Research and Innovation Staff Exchange | Project Number: 777826 - MED4D – Verbundprojekt MED4D: Dynamische Medizinische Bildgebung: Modellierung und Analyse medizinischer Daten für verbesserte Diagnose, Überwachung und Arzneimittelentwicklung ( – )
participations in bmbf-joint project: Federal Ministry of Education and Research | Project Number: 05M16PMB - EXC 1003 C5 - Whole-Body Imaging of Awake Organisms ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC1003/1 - EXC 1003 A6 - Motion Analysis in Cellular Systems ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC1003/1 - EXC 1003 B2 - Regulation of Vascular Permeability and Leukocyte Extravasation ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence | Project Number: EXC1003/1 - LifeInverse – Variational Methods for Dynamic Inverse Problems in the Life Sciences ( – )
EU-Project Hosted at University the of Münster: EU FP 7 - ERC Consolidator Grants | Project Number: 615216 - CoS-MRXI – SPP 1798 - subproject: CoS-MRXI - Compressed sensing for magnetorelaxometry imaging of magnetic nanoparticles ( – )
Subproject in DFG-Joint Project Hosted outside the University of Münster: DFG - Priority Programme | Project Number: BU 2327/12-1 - DAAD Exchange Service: PPP Finnland 2015 - Bayesian Inverse Problems in Banach Space ( – )
Individual Granted Project: German Academic Exchange Service | Project Number: 57162894 - Inverse Problems for Drift-Diffusion Equations with Applications to Chemotaxis and Synthetic Nanopores
( – )
Individual Granted Project: Daimler und Benz Stiftung | Project Number: 32-09/12 - SFB 656 B02 – CRC 656 B02 - PET reconstructions of thin structures and their validation ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre - EXC 1003 FF-2014-06 – Analysis of cell-cell interactions during neuronal migration in the developing cortex by live cell imaging and cell shape quantification ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Cluster of Excellence - HYPERMATH – Verbundprojekt 05M2013 - HYPERMATH: Hyperspectral Imaging: mathematische Methoden für Innovationen in der Medizin und Industrie ( – )
participations in bmbf-joint project: Federal Ministry of Education and Research | Project Number: 05M13PMC - Direkte und Inverse Probleme nichtlinearer Drift-Diffusionsgleichungen
( – )
Own Resources Project - First Applied Mathematics Symposium Münster "Variational Methods for Dynamics Inverse Problems and Imaging" ( – )
Scientific Event: Participation / conference fees - Summerschool on Inverse Problems, Münster, 22.-25.09.2015 ( – )
Scientific Event: Participation / conference fees - "Sparsity constrained inversion with tomographic applications" ( – )
Individual Granted Project: DFG - Individual Grants Programme | Project Number: BU 2327/6 - Multiscale simulation of ion transport through biological and synthetic channels ( – )
Individual Granted Project: VolkswagenStiftung | Project Number: I/83 928 - SPP 1253 Optimization with Partial Differential Equitations - Optimal control of self-consistent classical and quantum particle systems ( – )
Subproject in DFG-Joint Project Hosted outside the University of Münster: DFG - Priority Programme | Project Number: 569012 - Multiscale Methods for l1-type regularizations ( – )
participations in other joint project: German Academic Exchange Service - Nonlinear mass-preserving registration for magnetic resonance imaging (MRI) and positron emission tomography (PET) ( – )
Individual Granted Project: DFG - Individual Grants Programme | Project Number: BU 2327/8-1 - Regularization with singular energies ( – )
Individual Granted Project: DFG - Individual Grants Programme | Project Number: BU 2327/2-1 - Verbundprojekt INVERS: Teilprojekt TV-Regularisierung, Segmentierung und Cartoon-Rekonstruktion in der Nanoskopie ( – )
participations in bmbf-joint project: Federal Ministry of Education and Research | Project Number: 03BUPAH3 - Computational methods for identifying ischemic heart disease ( – )
participations in other joint project: German Academic Exchange Service - CRC 656 PM06 - Nonlinear Variational Model for Improved Quantification of Myocardial Blood Flow using Dynamic H215O-PET ( – )
Subproject in DFG-Joint Project Hosted at the University of Münster: DFG - Collaborative Research Centre
Latest Publications
- Burger, M., Lorz, A., and Wolfram, M. . “Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth.” Kinetic and Related Models, № 10 (1): 117–140. doi: 10.3934/krm.2017005.
- Neugebauer, F, Möddel, G, Rampp, S, Burger, M, and Wolters, C. . “The effect of head model simplification on beamformer source localization.” Frontiers in Neuroscience, № 11 (625) doi: 10.3389/fnins.2017.00625.
- Berendsen, J., Burger, M., and Pietschmann, J.-F. . “On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion.” Nonlinear Analysis, № 159
- Egger, H., Pietschmann, J.-F., and Schlottbom, M. . “On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms.” Inverse Problems, № 33 doi: 10.1088/1361-6420/aa8cae.
- Haidl, M, Steuwer, M, Dirks, H, Humernbrum, T, and Gorlatch, S. . “Towards Composable GPU Programming: Programming GPUs with Eager Actions and Lazy Views.” in Proceedings of the 8th International Workshop on Programming Models and Applications for Multicores and Manycores, edited by Q Chen and Z Huang. New York, NY: ACM Press. doi: 10.1145/3026937.3026942.
- Brinkmann Eva-Maria, Burger Martin, and Rasch Julian, Sutour Camille. . “Bias-Reduction in Variational Regularization.” Journal of Mathematical Imaging and Vision, № Special Issue MIA 2016
- Mannweiler, D., Suhr, S., Modersitzki, J., and Burger, M. . “Variational method for motion corrected reconstruction with MRI information in positron emission tomography.” in Vol. null of IEEE Nuclear Science Symposium and Medical Imaging Conference New York City: Wiley-IEEE Press. doi: 10.1109/NSSMIC.2015.7582045.
- Burger, M., Gilboa, G., Moeller, M., Eckardt, L., and Cremers, D. . “Spectral decompositions using one-homogeneous functionals.” SIAM Journal on Imaging Sciences, № 9 (3): 1374–1408. doi: 10.1137/15M1054687.
- Burger, M., Rossmanith, C., and Zhang, X. . “Simultaneous reconstruction and segmentation for dynamic SPECT imaging.” Inverse Problems, № 32 (10) doi: 10.1088/0266-5611/32/10/104002.
- Burger, M., Lorz, A., and Wolfram, M. . “On a Boltzmann mean field model for knowledge growth.” SIAM Journal on Applied Mathematics, № 76 (5): 1799–1818. doi: 10.1137/15M1018599.
Supervised Postdoctoral Study
| Wolters, Carsten | Finite Element Method based Electro- and Magnetoencephalography Source Analysis in the Human Brain (kumulative Habilitationsschrift) |
Supervised Doctoral Studies
| Foecke, Janic | Image Reconstruction in MRXI | |
| Frerking, Lena | Variational Methods for Direct and Indirect Tracking in Dynamic Imaging | |
| Lucka, Felix | Bayesian Inversion in Biomedical Imaging | |
| Wagner, Sven | Optimizing tCS and TMS multi-sensor setups using realistic head models | |
| Wagner, Sven | Optimizing tCS and TMS multi-sensor setups using realistic head models | |
| Wagner, Sven | Optimizing tCS and TMS multi-sensor setups us-ing realistic head models | |
| Dirks, Hendrik | Variational Methods for Joint Motion Estimation and Image Reconstruction | |
| Suhr, Sebastian | Variational Methods for Combined Image and Motion Estimation | |
| Lucka, Felix | Bayesian Inversion in Biomedical Imaging | |
| Lucka, Felix | Bayesian Inversion in Biomedical Imaging | |
| Heins, Pia | Reconstruction Using Local Sparsity - A Novel Regularization Technique and an Asymptotic Analysis of Local Sparsity Priors | |
| Lanfer, Benjamin | Automatic Generation of Volume Conductor Models of the Human Head for EEG Source Analysis | |
| Jan Hegemann | Efficient Evolution Algorithms for Embedded Interfaces | |
| Müller, Jahn Philipp | Advanced Image Reconstruction and Denoising: Bregmanized (Higher order) Total Variation and Application in PET | |
| Fouego Awounkeng, Marcisse | Optimal Control of Transient Drift-Diffusion and Nonlinear Schrödinger-Poisson Problems | |
| Louise Reips | Parameter Identification in Medical Imaging | |
| Ruthotto, Lars | Hyperelastic Image Registration - Theory, Numerical Mehods, and Applications | |
| Möller, Michael | Multiscale Methods for (Generalized) Sparse Recovery and Applications in High Dimensional Imaging | |
| Franek, Marzena | Variational Methods using Transport Metrics and Applications | |
| Sawatzky, Alex | (Nonlocal) Total Variation in Medical Imaging | |
| Meuth, Patrick | Thalamic neurons in silico | |
| Benning, Martin | Singular Regularization of Inverse Problems: Bergman Distances and their Applications to Variational Frameworks with Singular Regularization Energies | |
| Schlake, Bärbel | Mathematical Models for Particle Transport: Crowded Motion | |
| Brune, Christoph | 4D Imaging in Tomography and Optical Nanoscopy | |
| Kattrin Arning | Mathematical Modelling and Simulation of Ion Channels | |
| Marie-Therese Wolfram | Forward and Inverse Solvers for Electrodiffusion Systems | |
| Hackl, Benjamin | Shape Variations, Level Set and Phase-field Methods for Perimeter Regularized Geometric Inverse Problems |