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We propose and analyze a simple model for the evolution of an immersed, inextensible filament which incorporates linear viscoelastic effects of the surrounding fluid. The model is a closed-form system of equations along the curve only which…

Analysis of PDEs · Mathematics 2024-05-21 Laurel Ohm

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 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

Although the motility of the flagellated bacteria, Escherichia coli, has been widely studied, the effect of viscosity on swimming speed remains controversial. The swimming mode of wild-type E.coli is often idealized as a "run-and- tumble"…

Biological Physics · Physics 2018-05-09 Zijie Qu , Fatma Zeynep Temel , Rene Henderikx , Kenneth S. Breuer

Computational scientists have investigated swimming performance across a multitude of different systems for decades. Most models depend on numerous model parameters and performance is sensitive to those parameters. In this paper, parameter…

Fluid Dynamics · Physics 2020-11-24 Nicholas A. Battista

In a low Reynolds number fluid environment that microswimmers encounter, back-and-forth motion cannot lead to net displacement. In mammalian sperm, the mechanical wave propagating along their single flagellum breaks the cancellation between…

The swimming behavior of bacteria and other microorganisms is sensitive to the physical properties of the fluid in which they swim. Mucus, biofilms, and artificial liquid-crystalline solutions are all examples of fluids with some degree of…

Soft Condensed Matter · Physics 2014-12-17 Madison S. Krieger , Saverio E. Spagnolie , Thomas R. Powers

Biological microswimmers often encounter deformable boundaries in physiological conditions; for instance, the viscoelastic walls of reproductive tract during migration of spermatozoa, or host tissue during early bacterial biofilm formation.…

Soft Condensed Matter · Physics 2025-08-07 Smita S. Sontakke , Aneesha Kajampady , Mohd Suhail Rizvi , Ranabir Dey

The motion of microorganisms in their natural habitat is strongly influenced by their propulsion mechanisms, geometrical constraints, and random fluctuations. Here, we study numerically the first-passage-time (FPT) statistics of…

Soft Condensed Matter · Physics 2025-09-19 Yanis Baouche , Magali Le Goff , Thomas Franosch , Christina Kurzthaler

Fish schools are capable of simultaneous linear acceleration. To reveal the underlying hydrodynamic mechanism, we numerically investigate how Reynolds number $ Re = 1000 - 2000 $, Strouhal number $ St = 0.2 - 0.7 $ and wavelength $ \lambda…

Biological microswimmers such as bacteria and sperm cells often encounter complex biological fluid environments. Here we use the well-known squirmer microswimmer model to show the importance of the local fluid microstructure and…

Soft Condensed Matter · Physics 2023-07-19 Andreas Zöttl

We explore tidal interactions of a galactic disk with Toomre parameter Q ~ 2 embedded in rigid halo/bulge with a point mass companion moving in a prescribed parabolic orbit. Tidal interactions produce well-defined spiral arms and extended…

Astrophysics · Physics 2009-11-13 Sang Hoon Oh , Woong-Tae Kim , Hyung Mok Lee , Jongsoo Kim

Competition between biological species in marine environments is affected by the motion of the surrounding fluid. An effective 2D compressibility can arise, for example, from the convergence and divergence of water masses at the depth at…

Populations and Evolution · Quantitative Biology 2019-01-24 Abigail Plummer , Roberto Benzi , David R. Nelson , Federico Toschi

Flapping insects are remarkably agile fliers, adapted to a highly turbulent environment. We present a series of high resolution numerical simulations of a bumblebee interacting with turbulent inflow. We consider both tethered and free…

The complex formations exhibited by schooling fish have long been the object of fascination for biologists and physicists. However, the physical and sensory mechanisms leading to organized collective behavior remain elusive. On the physical…

Fluid Dynamics · Physics 2025-07-09 Anand U. Oza , Eva Kanso , Michael J. Shelley

Measuring energy consumption of marine organisms often requires enclosing the animal in a small, sealed chamber to quantify changes in oxygen concentration of the surrounding water. This can limit measurements of free-swimming organisms by…

Fluid Dynamics · Physics 2026-04-29 Simon R. Anuszczyk , Kyra Phaychanpheng , John O. Dabiri

The hydrodynamics of fish swimming depend on the interaction between the undulation of the body and the flapping of the caudal fin. This study develops a computational framework of a Jackfish-inspired swimmer with an independently mounted…

Fluid Dynamics · Physics 2026-01-23 Dev Pradeepkumar Nayak , Muhammad Saif Ullah Khalid , Ali Tarokh

Small-scale locomotion plays an important role in biology. Different modelling approaches have been proposed in the past. The simplest model is an infinite inextensible two-dimensional waving sheet, {originally introduced by Taylor}, which…

Fluid Dynamics · Physics 2010-04-09 On Shun Pak , Eric Lauga

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

Many microorganisms swim through gels, materials with nonzero zero-frequency elastic shear modulus, such as mucus. Biological gels are typically heterogeneous, containing both a structural scaffold (network) and a fluid solvent. We analyze…

Biological Physics · Physics 2015-05-18 Henry C. Fu , Vivek B. Shenoy , Thomas R. Powers
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