”Mathematics helps us to understand biological organisms in their entirety“ – an interview with Benedikt Wirth

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.

  • Participation in “Cells in Motion”

    • Deputy Spokesperson for the Cells in Motion Interfaculty Centre
    • Supervisor in the CiM-IMPRS Graduate Programme
    • Research interests: mathematical image processing, inverse problems, regularization techniques, motion compensation, blood vessel and leukocyte imaging
    • Project FF-2016-15: Quantitative analysis of local subcellular cell junction activity by JAIL formation and its impact on endothelial cell migration and barrier function (Jochen Seebach, Benedikt Wirth, project time: 07/2016 - 10/2018)
    • Project FF-2014-07: Intravital microscopy of neutrophil extravasation into the peritoneum (Konrad Buscher, Jian Song, Benedikt Wirth, project time: 07/2014 - 06/2016)

  • papers by Benedikt Wirth

    Papers in the research focus “cell dynamics and imaging”


    Böttcher U, Wirth B. Convex Lifting-Type Methods for Curvature Regularization. In: Grohs P., Holler M., Weinmann A. (eds), Handbook of Variational Methods for Nonlinear Geometric 2020;Springer, Cham: 207-233. Abstract


    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
    Taha M, Aldirawi M, März S, Seebach J, Odenthal-Schnittler M, Bondareva O, Bojovic V, Schmandra T, Wirth B, Mietkowska M, Rottner K, Schnittler H. EPLIN-α and -β Isoforms Modulate Endothelial Cell Dynamics through a Spatiotemporally Differentiated Interaction with Actin. Cell Rep. 2019;29: 1010-1026.e6. Abstract


    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