ArticleProceedings of the National Academy of Sciences of the United States of America2021
Conditions for metachronal coordination in arrays of model cilia.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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15 citing papers in PubMed, 59 citations in OpenAlex.
- Inverse problems for dynamic patterns in coupled oscillator networks: when larger networks are simpler.Nature communications · 2026Article
- Impact of cilia length and variable fluid properties on electroosmotic nanofluid flow in an inclined converging microchannel.Scientific reports · 2025Article
- Dynamics and emergence of metachronal waves in the ciliary band of a metazoan larva.Science advances · 2025Article
- Form and function in biological filaments: a physicist's review.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2025Review
- Technology Roadmap of Micro/Nanorobots.ACS nano · 2025Review
- Scaling Transition of Active Turbulence from Two to Three Dimensions.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2024Article
- Flow Physics Guides Morphology of Ciliated Organs.Nature physics · 2024Article
- Near-field hydrodynamic interactions determine travelling wave directions of collectively beating cilia.Journal of the Royal Society, Interface · 2024Article
- Methods and Measures for Investigating Microscale Motility.Integrative and comparative biology · 2023Review
- Article
- Nonreciprocal interactions give rise to fast cilium synchronization in finite systems.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- The three-dimensional coarse-graining formulation of interacting elastohydrodynamic filaments and multi-body microhydrodynamics.Journal of the Royal Society, Interface · 2023Article
- Spontaneous phase coordination and fluid pumping in model ciliary carpets.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
- Computational Modeling of Motile Cilia-Driven Cerebrospinal Flow in the Brain Ventricles of Zebrafish Embryo.Bioengineering (Basel, Switzerland) · 2022Article
- A multiscale biophysical model gives quantized metachronal waves in a lattice of beating cilia.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
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Authors and funding
4 authors at 4 institutions in 4 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
On surfaces with many motile cilia, beats of the individual cilia coordinate to form metachronal waves. We present a theoretical framework that connects the dynamics of an individual cilium to the collective dynamics of a ciliary carpet via systematic coarse graining. We uncover the criteria that control the selection of frequency and wave vector of stable metachronal waves of the cilia and examine how they depend on the geometric and dynamical characteristics of a single cilium, as well as the geometric properties of the array. We perform agent-based numerical simulations of arrays of cilia with hydrodynamic interactions and find quantitative agreement with the predictions of the analytical framework. Our work sheds light on the question of how the collective properties of beating cilia can be determined using information about the individual units and, as such, exemplifies a bottom-up study of a rich active matter system.
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