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Home Members Ernst, Ariane

Ernst, Ariane

Contact

Room
4101
Phone
+49 30 84185-284
Email
Email
Division
Mathematics of Complex Systems
Department
Modeling and Simulation of Complex Processes
Group
Computational Systems Biology

Projects

Projects as Member

Synapse

Space-time stochastic models for neurotransmission processes

Neurotransmission denotes the passing of stimuli from a neural cell to a target cell at specific junction points called synapses. The aim of this project is to increase...

Space-time stochastic models for neurotransmission processes

Publications

2025
Parameter Optimization for a Neurotransmission Recovery Model Bulletin of Mathematical Biology, 2025 (accepted for publication) Ariane Ernst, Anastasia Bankowski, Meida Jusyte, Toluwani Okunola, Tino Petrov, Alexander Walter, Stefanie Winkelmann BibTeX
2024
Mathematical modeling and analysis of neurotransmission Doctoral thesis, Freie Universität Berlin, Christof Schütte (Advisor), 2024 Ariane Ernst BibTeX
2023
Model reduction for calcium-induced vesicle fusion dynamics Proceedings in Applied Mathematics & Mechanics, 23(4), 2023 Ariane Ernst, Undine Falkenhagen, Stefanie Winkelmann BibTeX
DOI
Rate-limiting recovery processes in neurotransmission under sustained stimulation Mathematical Biosciences, Vol.362, 2023 Ariane Ernst, Nathalie Unger, Christof Schütte, Alexander Walter, Stefanie Winkelmann BibTeX
arXiv
DOI
2022
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 Winkelmann PDF (ZIB-Report)
BibTeX
DOI