| [25] |
M. Engel, G. Olicón-Méndez, N. Unger, S. Winkelmann. "Synchronization and random attractors in reaction jump processes." Journal of Dynamics and Differential Equations, 2024. DOI: 10.1007/s10884-023-10345-4 |
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| [24] |
A. Montefusco, L. Helfmann, T. Okunola, S. Winkelmann, C. Schütte. "Partial mean-field model for neurotransmission dynamics." Mathematical Biosciences, 369:109143, 2024. DOI: 10.1016/j.mbs.2024.109143 |
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| [23] |
M. Lücke, S. Winkelmann, J. Heitzig, N. Molkethin, P. Koltai. "Learning interpretable collective variables for spreading processes on networks." Physical Review E, 2024. DOI: 10.1103/PhysRevE.109.L022301 |
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| [22] |
A. Ernst, U. Falkenhagen, S. Winkelmann. "Model reduction for calcium-induced vesicle fusion dynamics." Proceedings in Applied Mathematics and Mechanics, 23(4), 2023. DOI: 10.1002/pamm.202300184 |
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| [21] |
M. Lücke, J. Heitzig, P. Koltai, N. Molkethin, S. Winkelmann. "Large population limits of Markov processes on random networks." Stochastic Processes and their Applications, 166, 2023. DOI: 10.1016/j.spa.2023.09.007 |
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| [20] |
A. Straube, S. Winkelmann, F. Höfling. "Accurate reduced models for the pH oscillations in the urea-urease reaction confined to giant lipid vesicles." The Journal of Physical Chemistry B, 127(13), 2023. DOI: 10.1021/acs.jpcb.2c09092 |
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| [19] |
A. Ernst, N. Unger, C. Schütte, A. Walter, S. Winkelmann. "Rate-limiting recovery processes in neurotransmission under sustained stimulation." Mathematical Biosciences, 362: 109023, 2023. DOI: 10.1016/j.mbs.2023.109023 |
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| [18] |
A. Montefusco, C. Schütte, S. Winkelmann. "A route to the hydrodynamic limit of a reaction-diffusion master equation using gradient structures." SIAM Journal of Applied Mathematics, 83(2), 2023. DOI: 10.1016/22M1488831 |
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| [17] |
M. del Razo, S. Winkelmann, R. Klein, F. Höfling. "Chemical diffusion master equation: formulations of reaction-diffusion processes on the molecular level." Journal of Mathematical Physics, 64(1), 2023. DOI: 10.1063/5.0129620 |
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| [16] |
A. Thies, V. Sunkara, S. Ray, H. Wulkow, M. Ö. Celik, F. Yergöz, C. Schütte, C. Stein, M. Weber, S. Winkelmann. "Modelling altered signalling of G-protein coupled receptors in inflamed environment to advance drug design." Scientific Reports, 13(607), 2023. DOI: 10.1038/s41598-023-27699-w |
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| [15] |
M. del Razo, D. Frömberg, A. Straube, C. Schütte, F. Höfling, S. Winkelmann. "A probabilistic framework for particle-based reaction–diffusion dynamics using classical Fock space representations." Letters in Mathematical Physics, 112(49), 2022. DOI: 10.1007/s11005-022-01539-w |
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| [14] |
H.-H. Boltz, A. Sirbu, N. Stelzer, P. de Lanerolle, S. Winkelmann, P. Annibale. "The impact of membrane protein diffusion on GPCR signaling." Cells, 11(10): 1660, 2022. DOI: 10.3390/cells11101660 |
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| [13] |
A. Ernst, C. Schütte, S. Sigrist, S. Winkelmann. "Variance of filtered signals: Characterization for linear reaction networks and application to neurotransmission dynamics." Mathematical Biosciences, 343: 108760, 2022. DOI: 10.1016/j.mbs.2021.108760 |
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| [12] |
A. Straube, S. Winkelmann, C. Schütte, F. Höfling. "Stochastic pH oscillations in a model of the urea–urease reaction confined to lipid vesicles." The Journal of Physical Chemistry Letters, 12(40): 9888-9893, 2021. DOI: 10.1021/acs.jpclett.1c03016 |
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| [11] |
J.-H. Niemann, S. Winkelmann, S. Wolf, C. Schütte. "Agent-based modeling: Population limits and large timescales." Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(3), 2021. DOI: 10.1063/5.0031373 |
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| [10] |
L. Helfmann, N. Djurdjevac Conrad, A. Djurdjevac, S. Winkelmann, C. Schütte. "From interacting agents to density-based modeling with stochastic PDEs." Communications in Applied Mathematics and Computational Science, 16(1): 1-32, 2021. DOI: 10.2140/camcos.2021.16.1 |
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| [9] |
S. Winkelmann, J. Zonker, C. Schütte, N. Djurdjevac Conrad. "Mathematical modeling of spatio-temporal population dynamics and application to epidemic spreading." Mathematical Biosciences, 336: 108619, 2021. DOI: 10.1016/j.mbs.2021.108619 |
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| [8] |
N. Djurdjevac Conrad, L. Helfmann, J. Zonker, S. Winkelmann, C. Schütte. "Human mobility and innovation spreading in ancient times: a stochastic agent-based simulation approach." EPJ Data Science, 7(1), 2018. DOI: 10.1140/epjds/s13688-018-0153-9 |
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| [7] |
S. Winkelmann, C. Schütte. "Hybrid models for chemical reaction networks: Multiscale theory and application to gene regulatory systems." The Journal of Chemical Physics, 147(11): 114115, 2017. DOI: 10.1063/1.4986560 |
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| [6] |
S. Winkelmann. "Markov control with rare state observation: Average optimality." Markov Processes and Related Fields, 23(1): 1-34, 2017.
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| [5] |
S. Winkelmann, C. Schütte. "The spatiotemporal master equation: Approximation of reaction-diffusion dynamics via Markov state modelings." The Journal of Chemical Physics, 145(21): 214107, 2016. DOI: 10.1063/1.4971163 |
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| [4] |
S. Duwal, S. Winkelmann, C. Schütte, M. von Kleist. "Optimal treatment strategies in the context of ‘treatment for prevention’against HIV-1 in resource-poor settings." PLoS computational biology, 11(4): e1004200, 2015. DOI: 10.1371/journal.pcbi.1004200 |
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| [3] |
S. Winkelmann, C. Schütte, M. von Kleist. "Markov control processes with rare state observation: Theory and application to treatment scheduling in HIV-1." Communications in Mathematical Sciences, 12(5): 859-877, 2014. DOI: 10.4310/CMS.2014.v12.n5.a4 |
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| [2] |
S. Winkelmann, C. Schütte, M. von Kleist. "Markov control with rare state observation: Sensitivity analysis with respect to optimal treatment strategies against HIV-1." International Journal of Biomathematics and Biostatistics, 2(1), 2013.
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| [1] |
C. Schütte, S. Winkelmann, C. Hartmann. "Optimal control of molecular dynamics using Markov state models." Mathematical Programming, 134(1): 259-282, 2012. DOI: 10.1007/s10107-012-0547-6 |
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