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We investigate a self-organized swimmer at low Reynolds numbers. The microscopic swimmer is composed of three spheres that are connected by two identical active linker arms. Each linker arm contains molecular motors and elastic elements and…

Biological Physics · Physics 2009-09-30 Stefan Gunther , Karsten Kruse

Variational approaches have been used successfully as a strategy to take advantage from real data measurements. In several applications, this approach gives a means to increase the accuracy of numerical simulations. In the particular case…

Optimization and Control · Mathematics 2015-10-15 Telma Guerra , Adélia Sequeira , Jorge Tiago

The equivalence between the natural minimization of energy in a dynamical system and the minimization of an objective function characterizing a combinatorial optimization problem offers a promising approach to designing dynamical…

Optimization and Control · Mathematics 2022-06-14 Antik Mallick , Mohammad Khairul Bashar , Zongli Lin , Nikhil Shukla

Surface interactions provide a class of mechanisms which can be employed for propulsion of micro- and nanometer sized particles. We investigate the related efficiency of externally and self-propelled swimmers. A general scaling relation is…

Soft Condensed Matter · Physics 2015-05-20 Benedikt Sabass , Udo Seifert

We propose an efficient threshold dynamics method for topology optimization for fluids modeled with the Stokes equation. The proposed algorithm is based on minimization of an objective energy function that consists of the dissipation power…

Optimization and Control · Mathematics 2018-12-27 Huangxin Chen , Haitao Leng , Dong Wang , Xiao-Ping Wang

Microorganisms are rarely found in Nature swimming freely in an unbounded fluid. Instead, they typically encounter other organisms, hard walls, or deformable boundaries such as free interfaces or membranes. Hydrodynamic interactions between…

Fluid Dynamics · Physics 2013-10-21 Marcelo A. Dias , Thomas R. Powers

Obtaining sharp estimates for quantities involved in a given model is an integral part of the modeling process. For dynamical systems whose orbits display a complicated, perhaps chaotic, behaviour, the aim is usually to estimate time or…

Analysis of PDEs · Mathematics 2021-08-31 Ricardo M. S. Rosa , Roger M. Temam

We introduce a new and efficient numerical method for multicriterion optimal control and single criterion optimal control under integral constraints. The approach is based on extending the state space to include information on a "budget"…

Optimization and Control · Mathematics 2016-01-06 Ajeet Kumar , Alexander Vladimirsky

We address the swimming problem at low Reynolds number. This regime, which is typically used for micro-swimmers, is described by Stokes equations. We couple a PDE solver of Stokes equations, derived from the Feel++ finite elements library,…

Analysis of PDEs · Mathematics 2019-11-28 Luca Berti , Laetitia Giraldi , Christophe Prud'Homme

Among several models for microswimmers, the three-sphere microswimmer proposed by Najafi and Golestanian captures the essential mechanism for the locomotion of a microswimmer in a viscous fluid. Owing to its simplicity and flexibility, the…

Soft Condensed Matter · Physics 2023-08-22 Kento Yasuda , Yuto Hosaka , Shigeyuki Komura

Persistent motion of microswimmers near boundaries is known to result in surface accumulation. Recently it was shown experimentally that surface accumulation of microswimmers is impacted primarily by steric forces and short-ranged…

Soft Condensed Matter · Physics 2025-07-22 Danne M. van Roon , Giorgio Volpe , Margarida M. Telo da Gama , Nuno A. M. Araújo

Many biological microswimmers can modulate their swimming gait to achieve directional control of motility, especially when performing steering towards specific directional cues. This can be achieved without the need for obvious…

We study the dynamics of a Brownian circle swimmer with a time-dependent self-propulsion velocity in an external temporally varying harmonic potential. For several situations, the noise-free swimming paths, the noise-averaged mean…

Soft Condensed Matter · Physics 2017-02-21 Soudeh Jahanshahi , Hartmut Löwen , Borge ten Hagen

We present a study of the hydrodynamics of an active particle, a model squirmer, in an envi- ronment with a broken rotational symmetry: a nematic liquid crystal. By combining simulations with analytic calculations, we show that the…

Soft Condensed Matter · Physics 2017-08-16 Juho S. Lintuvuori , Alois Würger , Kevin Stratford

Aquatic creatures exhibit remarkable adaptations of their body to efficiently interact with the surrounding fluid. The tight coupling between their morphology, motion, and the environment are highly complex but serves as a valuable example…

Robotics · Computer Science 2022-11-28 Nana Obayashi , Andrea Vicari , Kai Junge , Kamran Shakir , Josie Hughes

The geometric phase techniques for swimming in viscous flows express the net displacement of a swimmer as a path integral of a field in configuration space. This representation can be transformed into an area integral for simple swimmers…

Fluid Dynamics · Physics 2021-04-13 Lyndon Koens , Eric Lauga

We study synchronization in bulk suspensions of spherical microswimmers with chiral trajectories using large scale numerics. The model is generic. It corresponds to the lowest order solution of a general model for self-propulsion at low…

Soft Condensed Matter · Physics 2023-01-18 Sotiris Samatas , Juho S. Lintuvuori

We investigate the hydrodynamic interactions between microorganisms swimming at low Reynolds number. By considering simple model swimmers, and combining analytic and numerical approaches, we investigate the time-averaged flow field around a…

Soft Condensed Matter · Physics 2007-05-25 C. M. Pooley , G. P. Alexander , J. M. Yeomans

This article considers some classes of models dealing with the dynamics of discrete curves subjected to stochastic deformations. It turns out that the problems of interest can be set in terms of interacting exclusion processes, the ultimate…

Probability · Mathematics 2012-01-26 Guy Fayolle , Cyril Furtlehner

Microswimmers can acquire information on the surrounding fluid by sensing mechanical queues. They can then navigate in response to these signals. We analyse this navigation by combining deep reinforcement learning with direct numerical…

Fluid Dynamics · Physics 2023-06-21 Krongtum Sankaewtong , John J. Molina , Matthew S. Turner , Ryoichi Yamamoto