Synchronization and noise in arrays of hydrodynamically coupled cilia
ORAL
Abstract
Motile cilia on ciliated epithelia in mammalian airways, brain ventricles and oviduct
can display coordinated beating in the form of metachronal (=traveling) waves[1].
Past research proposed hydrodynamic coupling as a mechanism of synchronization,
yet if such synchronization is stable in the presence of noise (corresponding to active fluctuations of cilia beating)
has been addressed only for n=2 cilia[2], while the question of multi-stable synchronization in cilia carpets (n>>1) remains open.
Using multi-scale simulations[3] that map hydrodynamic interactions between cilia on a generalized Kuramoto model of phase oscillators with local coupling, we predict many multi-stable metachronal wave states, yet only one or two of them have considerable basins of attraction.
In the presence of noise,
we observe stochastic transitions between different waves.
Active noise excites long-wavelength perturbations (which take relatively long time to decay).
Strong noise impedes global synchronization and causes a break-up into smaller synchronized patches.
(similar to a chimera state).
[1] W. Gilpin, M.S. Bull, and M. Prakash, Nat Rev Phys 2, 74 (2020)
[2] R. Ma et al., Phys. Rev. Lett. 113, 048101 (2014)
[3] Solovev, B.M. Friedrich, preprint arXiv:2010.08111 (2020)
can display coordinated beating in the form of metachronal (=traveling) waves[1].
Past research proposed hydrodynamic coupling as a mechanism of synchronization,
yet if such synchronization is stable in the presence of noise (corresponding to active fluctuations of cilia beating)
has been addressed only for n=2 cilia[2], while the question of multi-stable synchronization in cilia carpets (n>>1) remains open.
Using multi-scale simulations[3] that map hydrodynamic interactions between cilia on a generalized Kuramoto model of phase oscillators with local coupling, we predict many multi-stable metachronal wave states, yet only one or two of them have considerable basins of attraction.
In the presence of noise,
we observe stochastic transitions between different waves.
Active noise excites long-wavelength perturbations (which take relatively long time to decay).
Strong noise impedes global synchronization and causes a break-up into smaller synchronized patches.
(similar to a chimera state).
[1] W. Gilpin, M.S. Bull, and M. Prakash, Nat Rev Phys 2, 74 (2020)
[2] R. Ma et al., Phys. Rev. Lett. 113, 048101 (2014)
[3] Solovev, B.M. Friedrich, preprint arXiv:2010.08111 (2020)
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Presenters
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Anton Solovev
Tech Univ Dresden
Authors
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Anton Solovev
Tech Univ Dresden