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Swimming at a micrometer scale demands particular strategies. Indeed when inertia is negligible as compared to viscous forces (i.e. Reynolds number $Re$ is lower than unity), hydrodynamics equations are reversible in time. To achieve…

Soft Condensed Matter · Physics 2011-02-17 Michaël Garcia , Stefano Berti , Philippe Peyla , Salima Rafaï

Flagella beating in complex fluids are significantly influenced by viscoelastic stresses. Relevant examples include the ciliary transport of respiratory airway mucus and the motion of spermatozoa in the mucus-filled female reproductive…

Soft Condensed Matter · Physics 2008-10-02 Eric Lauga

Locomotion and transport of microorganisms in fluids is an essential aspect of life. Search for food, orientation toward light, spreading of off-spring, and the formation of colonies are only possible due to locomotion. Swimming at the…

Biological Physics · Physics 2015-05-26 Jens Elgeti , Roland G. Winkler , Gerhard Gompper

Understanding swimming in soft yielding media is challenging due to their complex deformation response to the swimmer's motion. We experimentally show that a scallop-inspired swimmer with reciprocally flapping wings generates locomotion in…

Soft Condensed Matter · Physics 2024-12-09 Hongyi Xiao , Harol Torres , Achim Sack , Thorsten Pöschel

We study swimming of small spherical particles who regulate fluid flow on their surface by applying tangential squirming strokes. We derive translational and rotational velocities for any given stroke which is not restricted by axial…

Fluid Dynamics · Physics 2019-02-13 Itzhak Fouxon , Yizhar Or

We combine a general formulation of microswimmmer equations of motion with a numerical bead-shell model to calculate the hydrodynamic interactions with the fluid, from which the swimming speed, power and efficiency are extracted. From this…

Soft Condensed Matter · Physics 2017-03-07 Bram Bet , Gijs Boosten , Marjolein Dijkstra , René van Roij

Single flagellated bacteria are ubiquitous in nature. They exhibit various swimming modes using their flagella to explore complex surroundings such as soil and porous polymer networks. Some single-flagellated bacteria swim with two distinct…

Soft Condensed Matter · Physics 2024-11-20 H. Gidituri , M. Ellero , F. Balboa Usabiaga

Active fluids can develop spontaneous flow instabilities and complex patterns. However, spatio-temporal control of active particles has remained challenging, despite its relevance in biological and applied contexts. Here, we harnessed…

Soft Condensed Matter · Physics 2025-09-23 Isabelle Eisenmann , Marco Vona , Nicolas Desprat , Takuji Ishikawa , Eric Lauga , Raphaël Jeanneret

Motivated by the swimming of sperm in the non-Newtonian fluids of the female mammalian reproductive tract, we examine the swimming of filaments in the nonlinear viscoelastic Upper Convected Maxwell model. We obtain the swimming velocity and…

Soft Condensed Matter · Physics 2009-11-13 Henry C. Fu , Thomas R. Powers , Charles W. Wolgemuth

Purcell's scallop theorem defines the type of motions of a solid body - reciprocal motions - which cannot propel the body in a viscous fluid with zero Reynolds number. For example, the flapping of a wing is reciprocal and, as was recently…

Soft Condensed Matter · Physics 2008-10-02 Eric Lauga

The locomotion of microorganisms and spermatozoa in complex viscoelastic fluids is of critical importance in many biological processes such as fertilization, infection, and biofilm formation. Depending on their propulsion mechanisms,…

Soft Condensed Matter · Physics 2021-09-14 Gaojin Li , Eric Lauga , Arezoo M. Ardekani

We experimentally study a scallop-like swimmer with reciprocally flapping wings in a nearly frictionless, cohesive granular medium consisting of hydrogel spheres. Significant locomotion is found when the swimmer's flapping frequency matches…

Soft Condensed Matter · Physics 2026-04-29 Hongyi Xiao , Jing Wang , Achim Sack , Ralf Stannarius , Thorsten Pöschel

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

Microorganism motility often takes place within complex, viscoelastic fluid environments, e.g., sperm in cervicovaginal mucus and bacteria in biofilms. In such complex fluids, strains and stresses generated by the microorganism are stored…

We developed a mechanical model of spermatozoal swimming in bulk suspensions. We traced the spatiotemporal elastohydrodynamic interactions and found that spermatozoa engaged in self-organisation: flagellar undulatory motion generated a…

Fluid Dynamics · Physics 2023-02-22 Nanami Taketoshi , Toshihiro Omori , Takuji Ishikawa

Bacteria predate plants and animals by billions of years. Today, they are the world's smallest cells yet they represent the bulk of the world's biomass, and the main reservoir of nutrients for higher organisms. Most bacteria can move on…

Fluid Dynamics · Physics 2016-01-20 Eric Lauga

The time dynamics of flagellar and ciliary beating is often neglected in theories of microswimmers, with the most common models prescribing a time-constant actuation of the surrounding fluid. By explicitly introducing a metachronal wave,…

Soft Condensed Matter · Physics 2026-01-19 G. C. Antunes , H. Stark

In a classic paper, Edward Purcell analysed the dynamics of flagellated bacterial swimmers and derived a geometrical relationship which optimizes the propulsion efficiency. Experimental measurements for wild-type bacterial species E. coli…

Biological Physics · Physics 2020-01-08 Praneet Prakash , Amith Z. Abdulla , Varsha Singh , Manoj Varma

Active particles (living or synthetic) often move through inhomogeneous environments, such as gradients in light, heat or nutrient concentration, that can lead to directed motion (or taxis). Recent research has explored inhomogeneity in the…

Soft Condensed Matter · Physics 2022-08-23 Jiahao Gong , Vaseem A. Shaik , Gwynn J. Elfring

E. coli bacteria swim following a run and tumble pattern. In the run state all flagella join in a single helical bundle that propels the cell body along approximately straight paths. When one or more flagellar motors reverse direction the…

Soft Condensed Matter · Physics 2015-07-01 S. Bianchi , F. Saglimbeni , A. Lepore , R. Di Leonardo