Synchronization and metachronal waves of elastic cilia caused by unsteady viscous flow
Hydrodynamic coordination of cilia is ubiquitous in biology. It is commonly modeled using the steady Stokes equations. The flow around ciliated cells, however, exhibits finite-time vorticity diffusion, requiring a dynamical description. We present a model of elastic cilia coupled by unsteady viscous...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-02-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.L012029 |
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| _version_ | 1832086513246011392 |
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| author | Albert von Kenne Sonja Schmelter Holger Stark Markus Bär |
| author_facet | Albert von Kenne Sonja Schmelter Holger Stark Markus Bär |
| author_sort | Albert von Kenne |
| collection | DOAJ |
| description | Hydrodynamic coordination of cilia is ubiquitous in biology. It is commonly modeled using the steady Stokes equations. The flow around ciliated cells, however, exhibits finite-time vorticity diffusion, requiring a dynamical description. We present a model of elastic cilia coupled by unsteady viscous flow in the bulk fluid. Therein, vorticity diffusion impacts cilia coordination qualitatively and quantitatively. In particular, pairs of cilia synchronize in antiphase for long diffusion times. Moreover, metachronal waves occur in cilia chains larger than the viscous penetration depth, whereas global synchronization occurs in Stokes flow. |
| format | Article |
| id | doaj-art-7dcd5aff5a7543d0854e337e3b6d520b |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-7dcd5aff5a7543d0854e337e3b6d520b2025-02-06T15:01:21ZengAmerican Physical SocietyPhysical Review Research2643-15642025-02-0171L01202910.1103/PhysRevResearch.7.L012029Synchronization and metachronal waves of elastic cilia caused by unsteady viscous flowAlbert von KenneSonja SchmelterHolger StarkMarkus BärHydrodynamic coordination of cilia is ubiquitous in biology. It is commonly modeled using the steady Stokes equations. The flow around ciliated cells, however, exhibits finite-time vorticity diffusion, requiring a dynamical description. We present a model of elastic cilia coupled by unsteady viscous flow in the bulk fluid. Therein, vorticity diffusion impacts cilia coordination qualitatively and quantitatively. In particular, pairs of cilia synchronize in antiphase for long diffusion times. Moreover, metachronal waves occur in cilia chains larger than the viscous penetration depth, whereas global synchronization occurs in Stokes flow.http://doi.org/10.1103/PhysRevResearch.7.L012029 |
| spellingShingle | Albert von Kenne Sonja Schmelter Holger Stark Markus Bär Synchronization and metachronal waves of elastic cilia caused by unsteady viscous flow Physical Review Research |
| title | Synchronization and metachronal waves of elastic cilia caused by unsteady viscous flow |
| title_full | Synchronization and metachronal waves of elastic cilia caused by unsteady viscous flow |
| title_fullStr | Synchronization and metachronal waves of elastic cilia caused by unsteady viscous flow |
| title_full_unstemmed | Synchronization and metachronal waves of elastic cilia caused by unsteady viscous flow |
| title_short | Synchronization and metachronal waves of elastic cilia caused by unsteady viscous flow |
| title_sort | synchronization and metachronal waves of elastic cilia caused by unsteady viscous flow |
| url | http://doi.org/10.1103/PhysRevResearch.7.L012029 |
| work_keys_str_mv | AT albertvonkenne synchronizationandmetachronalwavesofelasticciliacausedbyunsteadyviscousflow AT sonjaschmelter synchronizationandmetachronalwavesofelasticciliacausedbyunsteadyviscousflow AT holgerstark synchronizationandmetachronalwavesofelasticciliacausedbyunsteadyviscousflow AT markusbar synchronizationandmetachronalwavesofelasticciliacausedbyunsteadyviscousflow |