Biomathematics

Faculty of Mathematics

TU Dortmund University

Email: Matthias Röger

Tel. +49 (0) 231 755 3462

Personal Website

Research field: Modelling & Simulation

- Global existence for a bulk/surface model for active-transport-induced polarisation in biological cells
Anguige, K. and Röger, M.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Volume: 448 (2017) - A coupled surface-Cahn-Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes
Garcke, H. and Kampmann, J. and Ratz, A. and Roger, M. R.

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES Volume: 26 (2016) - Gamma Convergence of a Family of Surface–Director Bending Energies with Small Tilt
Lussardi, L. and Röger, M.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS Volume: 219 (2016) - Large deviation principle for a stochastic Allen–Cahn equation
Heida, M. and Röger, M.

JOURNAL OF THEORETICAL PROBABILITY (2016) - Optimal distribution of oppositely charged phases: Perfect screening and other properties
Bonacini, M. and Knüpfer, H. and Röger, M.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS Volume: 48 (2016) - Weak solutions for a stochastic mean curvature flow of two-dimensional graphs
Hofmanová, M. and Röger, M. and von Renesse, M.

PROBABILITY THEORY AND RELATED FIELDS (2016) - A phase field model for the optimization of the willmore energy in the class of connected surfaces
Dondl, P.W. and Mugnai, L. and Röger, M.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS Volume: 46 (2014) - Symmetry breaking in a bulk-surface reaction-diffusion model for signalling networks
Rätz, A. and Röger, M.

NONLINEARITY Volume: 27 (2014) - Variational analysis of a mean curvature flow action functional
Magni, A. and Röger, M.

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2014) - Variational analysis of a mesoscale model for bilayer membranes
Lussardi, L. and Peletier, M.A. and Röger, M.

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS Volume: 15 (2014) - Colliding interfaces in old and new diffuse-interface approximations of willmore-flow
Esedoglu, S. and Rätz, A. and Röger, M.

COMMUNICATIONS IN MATHEMATICAL SCIENCES Volume: 12 (2013) - Erratum to Turing instabilities in a mathematical model for signaling networks (J Math Biol, (2012), 65, (1215-1244), 10.1007/s00285-011-0495-4)
Rätz, A. and Röger, M.

JOURNAL OF MATHEMATICAL BIOLOGY Volume: 66 (2013) - Buckling instability of viral Capsids-A continuum approach
Aland, S. and Rätz, A. and Röger, M. and Voigt, A.

MULTISCALE MODELING AND SIMULATION Volume: 10 (2012) - Turing instabilities in a mathematical model for signaling networks
Rätz, A. and Röger, M.

JOURNAL OF MATHEMATICAL BIOLOGY Volume: 65 (2012) - Confined elastic curves
Dondl, P.W. and Mugnai, L. and Röger, M.

SIAM JOURNAL ON APPLIED MATHEMATICS Volume: 71 (2011) - Convergence of perturbed Allen-Cahn equations to forced mean curvature flow
Mugnai, L. and Röger, M.

INDIANA UNIVERSITY MATHEMATICS JOURNAL Volume: 60 (2011)