AA1 – Mechanisms of Life



Synchronization and Geometric Structures of Stochastic Biochemical Oscillators

Project Heads

Maximilian Engel, Felix Höfling, Stefanie Winkelmann

Project Members

Arthur Straube

Project Duration

01.01.2023 − 31.12.2025

Located at



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.

External Website

Website at ZIB.

Related Publications

  • M. Engel, G. Olicón-Méndez, N. Wehlitz, S. Winkelmann. Sychronization and random attractors in reaction jump processes. Journal of Dynamics and Differential Equations, 2024.
  • E. Cereceda-López, M. Ostinato, A. Ortiz-Ambriz, A. Straube, M. Palassini, P. Tierno. Excluded volume induces buckling in optically driven colloidal rings. Physical Review Research, 6(1), 2024
  • R. Chemnitz, M. Engel, G. Olicón-Méndez. Random attractors on countable state spaces. Under review. arxiv
  • A. Straube, F. Höfling. Depinning transition of self-propelled particles. Under review. arxiv
  • A. Straube, S. Winkelmann, F. Höfling. Accurate reduced models for the pH oscillations in the urea-urease reaction confined to giant lipid vesicles. J. Phys. Chem. B 127, 2023
  • A. Straube, S. Winkelmann, C. Schütte, F. Höfling. Stochastic pH oscillations in a model of the urea–urease reaction confined to lipid vesicles. J. Phys. Chem. Lett. 12, 2021

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