期刊
出版社
NATL ACAD SCIENCES
DOI: 10.1073/pnas.2102828118
关键词
metachronal wave cilia hydrodynamic interactions
资金
- Max Planck School Matter to Life - Federal Ministry of Education and Research of Germany
- MaxSynBio Consortium - Federal Ministry of Education and Research of Germany
- MaxSynBio Consortium - Max Planck Society
- Max Planck School Matter to Life - Max Planck Society
- Alexander von Humboldt Foundation
- Strategic Priority Research Program of Chinese Academy of Sciences [XDA17010504]
- National Natural Science Foundation of China [12047503]
- Engineering and Physical Sciences Research Council (EPSRC)
- University of Bristol
In this study, a theoretical framework connecting the dynamics of an individual cilium to the collective dynamics of a ciliary carpet via coarse graining is presented. The criteria controlling the selection of frequency and wave vector of stable metachronal waves of the cilia are uncovered and examined. Agent-based numerical simulations of arrays of cilia with hydrodynamic interactions show quantitative agreement with the predictions of the analytical framework.
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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