Participation in “Cells in Motion”
- Supervisor in the CiM-IMPRS Graduate Programme
Prof Benedikt Wirth deals with patterns and shapes. These are very traditional mathematical topics, which can be applied to biomedical fields, as the branching patterns of blood vessels or the shape of organs is of great interest for physicians and basic researchers.
Papers in the research focus “cell dynamics and imaging”
Brancolini A, Rossmanith C, Wirth B. Optimal Micropatterns in 2D Transport Networks and Their Relation to Image Inpainting. Arch Rational Mech Anal 2018;228: 279-308. Abstract Clason C, Tameling C, Wirth B. Vector-Valued Multibang Control of Differential Equations. SIAM J. Control Optim. 2018;56: 2295-2326. Abstract Heeren B, Rumpf M, Wirth B. Variational time discretization of Riemannian splines. IMA Journal of Numerical Analysis 2018;00: 1–44. Abstract
Berkels B, Wirth B. Joint denoising and distortion correction of atomic scale scanning transmission electron microscopy images. Inverse Problems 2017;33: 095002. Abstract Brancolini A, Wirth B. Optimal Energy Scaling for Micropatterns in Transport Networks. SIAM J. Math. Anal. 2017;49: 311-359. Abstract Song J, Zhang X, Buscher K, Wang Y, Wang H, Di Russo J, Li L, Lutke-Enking S, Zarbock A, Stadtmann A, Striewski P, Wirth B, Kuzmanov I, Wiendl H, Schulte D, Vestweber D, Sorokin L. Endothelial Basement Membrane Laminin 511 Contributes to Endothelial Junctional Tightness and Thereby Inhibits Leukocyte Transmigration. Cell Rep 2017;18: 1256-1269. Abstract
Absil P-A, Gousenbourger P-Y, Striewski P, Wirth B. Differentiable Piecewise-Bézier Surfaces on Riemannian Manifolds. SIAM J. Imaging Sci. 2016;9: 1788-1828. Abstract Brancolini A, Wirth B. Equivalent formulations for the branched transport and urban planning problems. J. Math. Pures Appl. 2016;106: 695-724. Abstract Buscher K, Wang H, Zhang X, Striewski P, Wirth B, Saggu G, Lutke-Enking S, Mayadas TN, Ley K, Sorokin L, Song J. Protection from septic peritonitis by rapid neutrophil recruitment through omental high endothelial venules. Nat Commun 2016;7: 10828. Abstract Heeren B, Rumpf M, Schröder P, Wardetzky M, Wirth B. Splines in the Space of Shells. Computer Graphics Forum 2016;35: 111-120. Abstract Lu J, Wirth B, Yang H. Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis. Journal of the Mechanics and Physics of Solids 2016;89: 194-210. Abstract Wirth B. On the Gamma-limit of joint image segmentation and registration functionals based on phase fields. Interfaces Free Bound. 2016;18: 441-477. Abstract