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Marine microorganisms must cope with complex flow patterns and even turbulence as they navigate the ocean. To survive they must avoid predation and find efficient energy sources. A major difficulty in analysing possible survival strategies…

Fluid Dynamics · Physics 2022-11-29 J. Qiu , N. Mousavi , K. Gustavsson , C. Xu , B. Mehlig , L. Zhao

The problem of optimal microscopic swimming in a noisy environment is analyzed. A simplified model in which propulsion is generated by the relative motion of three spheres connected by immaterial links has been considered. We show that an…

Statistical Mechanics · Physics 2015-06-18 Piero Olla

The main goal of this paper is developing the method of discrete approximations to derive necessary optimality conditions for a class of constrained sweeping processes with nonsmooth perturbations. Optimal control problems for sweeping…

Optimization and Control · Mathematics 2020-05-13 Boris S. Mordukhovich , Dao Nguyen

Many microorganisms swim by performing larger non-reciprocal shape deformations that are initiated locally by molecular motors. However, it remains unclear how decentralized shape control determines the movement of the entire organism.…

Biological Physics · Physics 2025-05-14 Benedikt Hartl , Michael Levin , Andreas Zöttl

Swimming microorganisms often self propel in fluids with complex rheology. While past theoretical work indicates that fluid viscoelasticity should hinder their locomotion, recent experiments on waving swimmers suggest a possible…

Biological Physics · Physics 2014-11-25 Emily E. Riley , Eric Lauga

We study the coupled hydrodynamics between a motile slender microswimmer and a deformable interface that separates two Newtonian fluid regions. From the disturbance field generated by the swimming motion, we quantitatively characterize the…

Soft Condensed Matter · Physics 2022-12-22 Sankalp Nambiar , John S Wettlaufer

Many microswimmers are able to swim through viscous fluids by employing periodic non-reciprocal deformations of their appendages. Here we use a simple microswimmer model inspired by swimming biflagellates which consists of a spherical cell…

Soft Condensed Matter · Physics 2025-08-22 Sridhar Bulusu , Andreas Zöttl

The three-sphere swimmer by Najafi and Golestanian is composed of three spheres connected by two arms. The case in which the swimmer can control the lengths of the two arms has been studied in detail. Here we study a variation of the model…

Biological Physics · Physics 2017-02-02 Alessandro Montino , Antonio DeSimone

A recently introduced model for an autonomous swimmer at low Reynolds number that is comprised of three spheres connected by two arms is considered when one of the spheres has a large radius. The Stokes hydrodynamic flow associated with the…

Soft Condensed Matter · Physics 2009-11-13 Ramin Golestanian

We investigate the dynamics of model microswimmers under confinement, in cylindrical geometries, by means of three dimensional direct numerical calculations with fully resolved hydrodynamics. Such swimmers are known to show collective…

Soft Condensed Matter · Physics 2017-09-26 Norihiro Oyama , John Jairo Molina , Ryoichi Yamamoto

Hydrodynamic signatures at the Stokes regime, pertinent to motility of micro-swimmers, have a long-range nature. This implies that movements of an object in such a viscosity-dominated regime, can be felt tens of body-lengths away and…

Fluid Dynamics · Physics 2020-10-07 Mehdi Mirzakhanloo , Soheil Esmaeilzadeh , Mohammad-Reza Alam

An approximation to the added mass matrix of an assembly of spheres is constructed on the basis of potential flow theory for situations where one sphere is much larger than the others. In the approximation the flow potential near a small…

Fluid Dynamics · Physics 2017-03-08 B. U. Felderhof

Artificial microswimmers, nano and microrobots, are essential in many applications from engineering to biology and medicine. We present a Stokesian Dynamics study of the dynamical properties and efficiency of one of the simplest artificial…

Soft Condensed Matter · Physics 2022-03-04 I. Berdakin , V. I. Marconi , Adolfo J. Banchio

The hydrodynamic flow field generated by self-propelled active particles and swimming microorganisms is strongly altered by the presence of nearby boundaries in a viscous flow. Using a simple model three-linked sphere swimmer, we show that…

Fluid Dynamics · Physics 2018-04-18 Abdallah Daddi-Moussa-Ider , Maciej Lisicki , Christian Hoell , Hartmut Löwen

We develop a qualitative geometric approach to swimming at low Reynolds number which avoids solving differential equations and uses instead landscape figures of two notions of curvatures: The swimming curvature and the curvature derived…

Fluid Dynamics · Physics 2010-07-28 J. E. Avron , O. Raz

We describe a method, based on techniques used in molecular dynamics, for simulating the inertialess dynamics of an elastic filament immersed in a fluid. The model is used to study the "one-armed swimmer". That is, a flexible appendage…

Biological Physics · Physics 2007-05-23 M. Cosentino Lagomarsino , F. Capuani , C. P. Lowe

Discrete simulation methods are efficient tools to investigate the complex behaviors of complex fluids made of either dry granular materials or dilute suspensions. By contrast, materials made of soft and/or concentrated units (emulsions,…

Fluid Dynamics · Physics 2008-12-18 Pierre Rognon , Cyprien Gay

- In this paper, we focus on a variant of a 3-link magnetic microswimmer which consists of three rigid magnetized segments connected by two torsional springs. In particular, we assume that one of the springs is twisted so that the swimmer…

Optimization and Control · Mathematics 2016-11-04 Laetitia Giraldi , Pierre Lissy , Clément Moreau , Jean-Baptiste Pomet

Microswimming cells and robots exhibit diverse behaviours due to both their swimming and their environment. One of the core environmental features impacting inertialess swimming is background flows. While the influence of select flows,…

Fluid Dynamics · Physics 2025-10-30 Eamonn A. Gaffney , Kenta Ishimoto , Benjamin J. Walker

Models for fluid deformable surfaces provide valid theories to describe the dynamics of thin fluidic sheets of soft materials. To use such models in morphogenesis and development requires to incorporate active forces. We consider active…

Mathematical Physics · Physics 2024-08-20 Maik Porrmann , Axel Voigt