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BP: Fachverband Biologische Physik
BP 16: Poster IV
BP 16.2: Poster
Dienstag, 17. März 2020, 14:00–16:00, P2/EG
Stability and noise of metachronal waves in cilia carpets — •Anton Solovev1 and Benjamin M. Friedrich1,2 — 1Center for Advancing Electronics Dresden (cfaed), Germany — 2Cluster of Excellence 'Physics of Life' (PoL), Dresden, Germany
Motile cilia on ciliated epithelia in mammalian airways, brain and oviduct display coordinated beating in the form of metachronal waves, presumably due to mutual hydrodynamic coupling. Metachronal coordination is important for efficient fluid transport.
How the shape of the cilia beat determines the direction and wavelength of metachronal waves is not fully understood, nor is robustness with respect to noise.
We developed a multi-scale modelling approach, where a cilia carpet is modeled as an array of noise phase oscillators, similar to a Kuramoto model with local coupling. Importantly, pair-wise hydrodynamic interactions between cilia are accurately computed from hydrodynamic simulations of the Stokes equation, using experimentally measured cilia beat patterns. We numerically determine the set of all possible synchronized states, as well as their linear stability.
Remarkably, while we find multiple metastable metachronal wave states, analysis of global dynamics reveals that only few of them have sizable basins of attraction. In the presence of noise, corresponding to active fluctuations of cilia beating, we observe stochastic transitions between different synchronized states. While strong noise reduces synchronization, weak noise biases the dynamics towards a single synchronized state of metachronal coordination.