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 with non-standard geometric singular perturbation theory. An application focus is on biochemical oscillation reactions, with potential scope for wave fronts under noise.
Publications
2023
2022
2021
2023 |
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Arthur Straube, Stefanie Winkelmann, Felix 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), pp. 2955-2967, 2023 (preprint available as ZIB-Report 22-21) |
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2021 |
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Arthur Straube, Stefanie Winkelmann, Christof Schütte, Felix Höfling | Stochastic pH oscillations in a model of the urea–urease reaction confined to lipid vesicles | J. Phys. Chem. Lett., Vol.12, pp. 9888-9893, 2021 |
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