AA1-19 Drug Candidates as Pareto Optima in Chemical Space
The search for novel drug candidates that, at the same time, act with high efficacy, comply with defined chemical properties, and also show low off-target effects can be...
Synchronization and Geometric Structures of Stochastic Biochemical Oscillators
We study synchronization due to noise and/or coupling in dynamical systems with multiple time scales. The challenge of taming nonuniformly hyperbolic structures is faced...
This project aims at the creation of a MATH+ success story around the mathematics of drug design. It proposes a new drug design strategy for G-protein coupled receptors...
Concentration Effects and Collective Variables in Agent-Based Systems
Agent-based models (ABMs) are often high-dimensional and complex, making simulations costly and formal analysis hard. Low-dimensional model reduction is hence of great...
Learning interpretable collective variables for spreading processes on networks
Physical Review E, 109(2), p. L022301, 2024
Marvin Lücke, Stefanie Winkelmann, Jobst Heitzig, Nora Molkenthin, Péter Koltai
BibTeX arXiv DOI
Synchronization and random attractors in reaction jump processes
Journal of Dynamics and Differential Equations, 2024
Maximilian Engel, Guillermo Olicón-Méndez, Nathalie Wehlitz, Stefanie WinkelmannBibTeX arXiv DOI
Chemical diffusion master equation: formulations of reaction-diffusion processes on the molecular level
Journal of Mathematical Physics, 64(1), 2023
Mauricio del Razo, Stefanie Winkelmann, Rupert Klein, Felix HöflingBibTeX DOI arXiv
Large population limits of Markov processes on random networks
Stochastic Processes and their Applications, Vol.166, 2023
Marvin Lücke, Jobst Heitzig, Péter Koltai, Nora Molkethin, Stefanie WinkelmannBibTeX DOI arXiv
Modelling altered signalling of G-protein coupled receptors in inflamed environment to advance drug design
Scientific Reports, 13(607), 2023
Arne Thies, Vikram Sunkara, Sourav Ray, Hanna Wulkow, M. Özgür Celik, Fatih Yergöz, Christof Schütte, Christoph Stein, Marcus Weber, Stefanie WinkelmannBibTeX DOI
Discovering collective variable dynamics of agent-based models
25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022, 2022
Marvin Lücke, Peter Koltai, Stefanie Winkelmann, Nora Molkethin, Jobst Heitzig
BibTeX DOI
The Impact of Membrane Protein Diffusion on GPCR Signaling
Cells, 11(10), p. 1660, 2022
Horst-Holger Boltz, Alexei Sirbu, Nina Stelzer, Primal de Lanerolle, Stefanie Winkelmann, Paolo Annibale
BibTeX DOI
Variance of filtered signals: Characterization for linear reaction networks and application to neurotransmission dynamics
Mathematical Biosciences, Vol.343, 2022 (preprint available as ZIB-Report 21-15)
Ariane Ernst, Christof Schütte, Stephan Sigrist, Stefanie WinkelmannPDF (ZIB-Report) BibTeX DOI
Hybrid models for chemical reaction networks: Multiscale theory and application to gene regulatory systems
The Journal of Chemical Physics, 147(11), pp. 114115-1-114115-18, 2017 (preprint available as ZIB-Report 17-29)
Stefanie Winkelmann, Christof SchüttePDF PDF (ZIB-Report) BibTeX DOI
Markov Control with Rare State Observation: Average Optimality
Markov Processes and Related Fields, Vol.23, pp. 1-34, 2017 (preprint available as ZIB-Report 16-59)
Stefanie WinkelmannPDF (ZIB-Report) BibTeX
The Spatiotemporal Master Equation: Approximation of Reaction-Diffusion Dynamics via Markov State Modeling
Journal of Chemical Physics, 145(21), 2016 (preprint available as ZIB-Report 16-60)
Stefanie Winkelmann, Christof SchüttePDF PDF (ZIB-Report) BibTeX DOI
Optimal Treatment Strategies in the Context of 'Treatment for Prevention' against HIV/1 in Resource-Poor Settings
PloS Computational Biology, 11(4), 2015
Sulav Duwal, Stefanie Winkelmann, Christof Schütte, Max von Kleist
BibTeX DOI
Markov Control Processes with Rare State Observation: Theory and Application to Treatment Scheduling in HIV-1
Communications in Mathematical Sciences, 12(5), pp. 859-877, 2014 (preprint available as ZIB-Report 13-34)
Stefanie Winkelmann, Christof Schütte, Max von Kleist
PDF (ZIB-Report) BibTeX DOI
Markov Control Processes with Rare State Observation: Sensitivity Analysis with Respect to Optimal Treatment Strategies against HIV-1
International Journal of Biomathematics and Biostatistics, 2(1), 2013
Stefanie Winkelmann, Christof Schütte, Max von Kleist
BibTeX
Optimal control of molecular dynamics using Markov state models
Math. Program. (Series B), 134(1), pp. 259-282, 2012
Christof Schütte, Stefanie Winkelmann, Carsten Hartmann
BibTeX DOI