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It is now well established that nearby beating pairs of eukaryotic flagella or cilia typically synchronize in phase. A substantial body of evidence supports the hypothesis that hydrodynamic coupling between the active filaments, combined…

Soft Condensed Matter · Physics 2016-10-12 Raymond E. Goldstein , Eric Lauga , Adriana I. Pesci , Michael R. E. Proctor

Motivated by diverse phenomena in cellular biophysics, including bacterial flagellar motion and DNA transcription and replication, we study the overdamped nonlinear dynamics of a rotationally forced filament with twist and bend elasticity.…

Soft Condensed Matter · Physics 2009-10-31 Charles W. Wolgemuth , Thomas R. Powers , Raymond E. Goldstein

The propulsion of many eukaryotic cells is generated by flagella, flexible slender filaments that are actively oscillating in space and time. The dynamics of these biological appendages have inspired the design of many types of artificial…

Soft Condensed Matter · Physics 2025-04-15 Mariia Dvoriashyna , Eric Lauga

Traditional locomotion strategies become ineffective at low Reynolds numbers, where viscous forces predominate over inertial forces. To adapt, microorganisms have evolved specialized structures like cilia and flagella for efficient…

Robotics · Computer Science 2024-12-10 Nnamdi C. Chikere , Sofia Lozano Voticky , Quang D. Tran , Yasemin Ozkan-Aydin

Spontaneous low-frequency oscillations on the order of several hertz are the drivers of many crucial processes in nature. From bacterial swimming to mammal gaits, the conversion of static energy inputs into slowly oscillating electrical and…

In this work we mimic the efficient propulsion mechanism of natural cilia by magnetically actuating thin films in a cyclic but non-reciprocating manner. By simultaneously solving the elasto-dynamic, magnetostatic and fluid mechanics…

We describe simulations of a microscopic elastic filament immersed in a fluid and subject to a uniform external force. Our method accounts for the hydrodynamic coupling between the flow generated by the filament and the friction force it…

Soft Condensed Matter · Physics 2009-11-11 M. Cosentino Lagomarsino , I. Pagonabarraga , C. P. Lowe

Flagella and cilia are examples of actively oscillating, whiplike biological filaments that are crucial to processes as diverse as locomotion, mucus clearance, embryogenesis and cell motility. Elastic driven rod-like filaments subjected to…

Computational Physics · Physics 2018-05-24 Soheil Fatehiboroujeni , Arvind Gopinath , Sachin Goyal

Inspired by the snap-through action of a steel hairclip, we propose a design method for in-plane prestressed mechanisms that exhibit biomimetic morphing and high locomotion performance. Compliant bistable flapping mechanisms are fabricated…

Robotics · Computer Science 2023-11-07 Zechen Xiong , Liqi Chen , Wenxiong Hao , Yufeng Su , Hod Lipson

Many microorganisms propel through complex media by deformations of their flagella. The beat is thought to emerge from interactions between forces of the surrounding fluid, passive elastic response from deformations of the flagellum, and…

Fluid Dynamics · Physics 2024-01-23 Kathryn G. Link , Robert D. Guy , Becca Thomases , Paulo E. Arratia

Synchronization of actively oscillating organelles such as cilia and flagella facilitates self-propulsion of cells and pumping fluid in low Reynolds number environments. To understand the key mechanism behind synchronization induced by…

Soft Condensed Matter · Physics 2015-05-20 Nariya Uchida , Ramin Golestanian

Locomotion is typically studied either in continuous media where bodies and legs experience forces generated by the flowing medium, or on solid substrates dominated by friction. In the former, centralized coordination is believed to…

Biological Physics · Physics 2023-03-29 Baxi Chong , Juntao He , Shengkai Li , Eva Erickson , Kelimar Diaz , Tianyu Wang , Daniel Soto , Daniel I. Goldman

We discuss a two-dimensional model for the dynamics of axonemal deformations driven by internally generated forces of molecular motors. Our model consists of an elastic filament pair connected by active elements. We derive the dynamic…

Biological Physics · Physics 2009-11-06 Sebastien Camalet , Frank Julicher

We study the over-damped dynamics of individual one-dimensional elastic filaments subjected to a chiral active force which propels each point of the filament at a fixed angle relative to the tangent vector of the filament at that point.…

Soft Condensed Matter · Physics 2026-03-09 Chanania Steinbock , Daniel A. Beller

The interplay between activity and elasticity often found in active and living systems triggers a plethora of autonomous behaviors ranging from self-assembly and collective motion to actuation. Amongst these, spontaneous self-oscillations…

Soft Condensed Matter · Physics 2023-04-07 Ellen Zheng , Martin Brandenbourger , Louis Robinet , Peter Schall , Edan Lerner , Corentin Coulais

Flexible filaments moving in viscous fluids are ubiquitous in the natural microscopic world. For example, the swimming of bacteria and spermatozoa as well as important physiological functions at organ-level, such as the cilia-induced motion…

Soft Condensed Matter · Physics 2019-06-05 Panayiota Katsamba , Eric Lauga

Swimming micro-organisms such as flagellated bacteria and sperm cells have fascinating locomotion capabilities. Inspired by their natural motion, there is an ongoing effort to develop artificial robotic nano-swimmers for potential in-body…

Fluid Dynamics · Physics 2023-05-31 Jithu Paul , Yizhar Or , Oleg Gendelman

Collections of simple, self-propelled colloidal particles exhibit complex, emergent dynamical behavior, with promising applications in microrobotics. When confined within a deformable vesicle, self-propelled rods cluster and align,…

Soft Condensed Matter · Physics 2025-10-28 Sophie Y. Lee , Philipp W. A. Schönhöfer , Sharon C. Glotzer

In this paper we study the self-propulsion of a dumbbell micro-robot submerged in a viscous fluid. The micro-robot consists of two rigid spherical beads connected by a rod or a spring; the rod's/spring's length is changing periodically. The…

Fluid Dynamics · Physics 2015-06-12 Vladimir A. Vladimirov

Cellular appendages such as cilia and flagella represent universal tools enabling cells and microbes, among other essential functionalities, to propel themselves in diverse environments. In its planktonic, i.e. freely swimming, state the…