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Scombrid fishes and tuna are efficient swimmers capable of maximizing performance to escape predators and save energy during long journeys. A key aspect in achieving these goals is the flexibility of the tail, which the fish optimizes…

Fluid Dynamics · Physics 2024-11-19 L. Padovani , G. Manduca , D. Paniccia , G. Graziani , R. Piva , C. Lugni

In a recent letter (Friedrich et al., Phys. Rev. Lett. 109:138102, 2012), a minimal model swimmer was proposed that propels itself at low Reynolds numbers by a revolving motion of a pair of spheres. The motion of the two spheres can…

Cell Behavior · Quantitative Biology 2015-06-12 Katja Polotzek , Benjamin M. Friedrich

In this paper we study a mathematical model of one-dimensional swimmers performing a planar motion while fully immersed in a viscous fluid. The swimmers are assumed to be of small size, and all inertial effects are neglected. Hydrodynamic…

Optimization and Control · Mathematics 2014-04-25 Gianni Dal Maso , Antonio DeSimone , Marco Morandotti

Many swimmers, especially small to medium-sized animals, use intermittent locomotion that differs from continuous swimming of large species. This type of locomotion, called burst-and-coast, is often associated with an energetic advantage.…

Fluid Dynamics · Physics 2025-05-08 Tristan Aurégan , Mathilde Lemoine , Benjamin Thiria , Sylvain Courrech du Pont

We define a model microswimmer with a variable cycle time, thus allowing the possibility of phase locking driven by hydrodynamic interactions between swimmers. We find that, for extensile or contractile swimmers, phase locking does occur,…

Soft Condensed Matter · Physics 2015-05-13 Victor B. Putz , Julia M. Yeomans

Many biological fluids are composed of suspended polymers immersed in a viscous fluid. A prime example is mucus, where the polymers are also known to form a network. While the presence of this microstructure is linked with an overall…

Fluid Dynamics · Physics 2024-10-10 Adam K. Townsend , Eric E. Keaveny

We investigate the hydrodynamic interaction between two elastic swimmers which are composed of three spheres and two harmonic springs. In this model, the natural length of each spring is assumed to undergo a prescribed cyclic change,…

Soft Condensed Matter · Physics 2019-05-22 Mizuki Kuroda , Kento Yasuda , Shigeyuki Komura

While mathematical models, in particular self-propelled particle (SPP) models, capture many of the observed properties of large fish schools, they do not always capture the interactions of smaller shoals. Nor do these models tend to account…

Neurons and Cognition · Quantitative Biology 2023-04-04 Linnéa Gyllingberg , Alex Szorkovszky , David J. T. Sumpter

Animals moving together in groups are believed to interact among each other with effective social forces, such as attraction, repulsion and alignment. Such forces can be inferred using 'force maps', i.e. by analysing the dependency of the…

Swimming cells and microorganisms must often move though complex fluids that contain an immersed microstructure such as polymer molecules, or filaments. In many important biological processes, such as mammalian reproduction and bacterial…

Fluid Dynamics · Physics 2018-08-06 Arshad Kamal , Eric E Keaveny

Many active biological particles, such as swimming microorganisms or motor-proteins, do work on their environment by going though a periodic sequence of shapes. Interactions between particles can lead to the phase-synchronization of their…

Soft Condensed Matter · Physics 2022-07-26 Brato Chakrabarti , Michael J. Shelley , Sebastian Fürthauer

We study two microswimmers consisting of a spherical rigid head and a passive elastic tail. In the first one the tail is clamped to the head, and the system oscillates under the action of an external torque. In the second one, head and tail…

Fluid Dynamics · Physics 2017-02-02 Giancarlo Cicconofri , Antonio DeSimone

Cooperative motion in biological microswimmers is crucial for their survival as it facilitates adhesion to surfaces, formation of hierarchical colonies, efficient motion, and enhanced access to nutrients. Synthetic microswimmers currently…

Soft Condensed Matter · Physics 2022-04-12 Stefania Ketzetzi , Melissa Rinaldin , Pim Dröge , Joost de Graaf , Daniela J. Kraft

In this article, we consider a swimmer (i.e. a self-deformable body) immersed in a fluid, the flow of which is governed by the stationary Stokes equations. This model is relevant for studying the locomotion of microorganisms or micro robots…

Analysis of PDEs · Mathematics 2012-03-19 Jérôme Lohéac , Alexandre Munnier

Many eukaryotic microorganisms propelled by multiple flagella can swim very rapidly with distinct gaits. Here, we model a three-dimensional mutiflagellate swimming strategy, resembling the microalgae, and investigate the effects of…

Soft Condensed Matter · Physics 2023-10-17 Shiyuan Hu , Fanlong Meng

We theoretically describe the dynamics of swimmer populations confined in thin liquid films. We first demonstrate that hydrodynamic interactions between confined swimmers only depend on their shape and are independent of their specific…

Soft Condensed Matter · Physics 2015-06-11 Tommaso Brotto , Jean-Baptiste Caussin , Eric Lauga , Denis Bartolo

Elongate animals and robots use undulatory body waves to locomote through diverse environments. Geometric mechanics provides a framework to model and optimize such systems in highly damped environments, connecting a prescribed shape change…

Robotics · Computer Science 2025-10-21 Jianfeng Lin , Tianyu Wang , Baxi Chong , Matthew Fernandez , Zhaochen Xu , Daniel I. Goldman

We investigate the collective dynamics of self-propelled droplets, confined in a one dimensional micro-fluidic channel. On one hand, neighboring droplets align and form large trains of droplets moving in the same direction. On the other…

Soft Condensed Matter · Physics 2020-05-14 Pierre Illien , Charlotte de Blois , Yang Liu , Marjolein N. van der Linden , Olivier Dauchot

Nature has always inspired scientists and engineers to understand the underlying mechanism leading to optimal design in bio-inspired dynamics. This study presents a computational framework for optimizing undulatory swimming profiles using a…

Fluid Dynamics · Physics 2026-04-09 Hamayun Farooq , Imran Akhtar , Muhammad Saif Ullah Khalid , Haris Moazam Sheikh

Robotic fish is one of the most promising directions of the new generation of underwater vehicles. Traditional biomimetic fish often mimic fish joints using tandem components like servos, which leads to increased volume, weight and control…

Robotics · Computer Science 2024-08-14 Ruijia Zhang , Wenke Zhou , Min Li , Miao Li