ArticleJournal of the Royal Society, Interface2018
Instability-driven oscillations of elastic microfilaments.
Article in Journal of the Royal Society, Interface, 2018. 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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Who cites it
15 citing papers in PubMed.
- Bio-inspired multimodal soft actuator with environmental self-adaptation.Nature communications · 2025Article
- Effect of fluid elasticity on the emergence of oscillations in an active elastic filament.Journal of the Royal Society, Interface · 2024Article
- Integrating chemistry, fluid flow, and mechanics to drive spontaneous formation of three-dimensional (3D) patterns in anchored microstructures.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Active oscillations in microscale navigation.Animal cognition · 2023Review
- Emergent programmable behavior and chaos in dynamically driven active filaments.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- Generation of ciliary beating by steady dynein activity: the effects of inter-filament coupling in multi-filament models.Journal of the Royal Society, Interface · 2022Article
- Ciliary beating patterns map onto a low-dimensional behavioural space.Nature physics · 2022Article
- Active beating modes of two clamped filaments driven by molecular motors.Journal of the Royal Society, Interface · 2022Article
- Swirling Instability of the Microtubule Cytoskeleton.Physical review letters · 2021Article
- Intracellular coupling modulates biflagellar synchrony.Journal of the Royal Society, Interface · 2021Article
- Buckling instabilities and spatio-temporal dynamics of active elastic filaments.Journal of the Royal Society, Interface · 2020Article
- Multiscale mechanics of mucociliary clearance in the lung.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2020Review
- Cilia oscillations.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2020Article
- Review
- Flagella-like Beating of a Single Microtubule.Nano letters · 2019Article
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Cilia and flagella are highly conserved slender organelles that exhibit a variety of rhythmic beating patterns from non-planar cone-like motions to planar wave-like deformations. Although their internal structure, composed of a microtubule-based axoneme driven by dynein motors, is known, the mechanism responsible for these beating patterns remains elusive. Existing theories suggest that the dynein activity is dynamically regulated, via a geometric feedback from the cilium's mechanical deformation to the dynein force. An alternative, open-loop mechanism based on a 'flutter' instability was recently proven to lead to planar oscillations of elastic filaments under follower forces. Here, we show that an elastic filament in viscous fluid, clamped at one end and acted on by an external distribution of compressive axial forces, exhibits a Hopf bifurcation that leads to non-planar spinning of the buckled filament at a locked curvature. We also show the existence of a second bifurcation, at larger force values, that induces a transition from non-planar spinning to planar wave-like oscillations. We elucidate the nature of these instabilities using a combination of nonlinear numerical analysis, linear stability theory and low-order bead-spring models. Our results show that, away from the transition thresholds, these beating patterns are robust to perturbations in the distribution of axial forces and in the filament configuration. These findings support the theory that an open-loop, instability-driven mechanism could explain both the sustained oscillations and the wide variety of periodic beating patterns observed in cilia and flagella.
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