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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

Many microorganisms swim in a highly heterogeneous environment with obstacles such as fibers or polymers. To better understand how this environment affects microorganism swimming, we study propulsion of a cylinder or filament in a fluid…

Fluid Dynamics · Physics 2016-04-13 Nguyenho Ho , Karin Leiderman , Sarah D. Olson

Both natural and artificial small-scale swimmers may often self-propel in environments subject to complex geometrical constraints. While most past theoretical work on low-Reynolds number locomotion addressed idealised geometrical…

Fluid Dynamics · Physics 2017-11-16 Alexander Chamolly , Takuji Ishikawa , Eric Lauga

The self-propulsion of artificial and biological microswimmers (i.e., active colloidal particles) has often been modelled by using a force and a torque entering into the overdamped equations for the Brownian motion of passive particles.…

Soft Condensed Matter · Physics 2015-07-10 Borge ten Hagen , Raphael Wittkowski , Daisuke Takagi , Felix Kümmel , Clemens Bechinger , Hartmut Löwen

Design strategies to assemble dissipative building blocks are essential to create novel and smart materials and machines. We recently demonstrated the hierarchical self-assembly of phoretic microswimmers into self-spinning microgears and…

Soft Condensed Matter · Physics 2019-09-26 Antoine Aubret , Jérémie Palacci

Slender body theory is a commonly used approximation in computational models of thin fibers in viscous fluids, especially in simulating the motion of cilia or flagella in swimming microorganisms. In [23], we developed a PDE framework for…

Analysis of PDEs · Mathematics 2019-10-30 Yoichiro Mori , Laurel Ohm , Daniel Spirn

We theoretically study the nematic ordering transition of rods that are able to elastically adjust their mutually excluded volumes. The model rods, which consist of a hard core surrounded by a deformable shell, mimic the structure of…

Soft Condensed Matter · Physics 2009-11-11 K. Shundyak , R. van Roij , P. van der Schoot

We investigate the stability and geometrically non-linear dynamics of slender rods made of a linear isotropic poroelastic material. Dimensional reduction leads to the evolution equation for the shape of the poroelastica where, in addition…

Soft Condensed Matter · Physics 2016-08-31 J. M. Skotheim , L. Mahadevan

Semiflexible polymers in poor solvents exhibit a rich variety of collapsed morphologies, including globules, toroids, and rodlike bundles, arising from the competition between attractive interactions and chain stiffness. Computer…

Statistical Mechanics · Physics 2026-01-22 Biman Bagchi

Dynamic organization of the cytoskeletal filaments and rod-like proteins in the cell membrane and other biological interfaces occurs in many cellular processes. Previous modeling studies have considered the dynamics of a single rod on fluid…

Fluid Dynamics · Physics 2022-06-17 Wenzheng Shi , Moslem Moradi , Ehssan Nazockdast

Synthetic microswimmers show great promise in biomedical applications such as drug delivery and microsurgery. Their locomotion, however, is subject to stringent constraints due to the dominance of viscous over inertial forces at low…

Fluid Dynamics · Physics 2020-07-15 Alan Cheng Hou Tsang , Pun Wai Tong , Shreyes Nallan , On Shun Pak

We introduce and investigate the wellposedness of two models describing the self-propelled motion of a "small bio-mimetic swimmer" in the 2D and 3D incompressible fluids modeled by the Navier-Stokes equations. It is assumed that the…

Analysis of PDEs · Mathematics 2015-01-13 Alexandre Khapalov , Piermarco Cannarsa , Fabio S. Priuli , Giuseppe Floridia

The development of synthetic microswimmers has advanced our understanding of the fundamental self-propelled mechanisms of living systems. However, there are scarce studies at the microscale within highly structured anisotropic media, such…

Soft Condensed Matter · Physics 2024-05-08 Antonio Tavera-Vázquez , Andrés Córdoba , Sam Rubin , Vincenzo Vitelli , Juan J. de Pablo

We analyse the motion of a flagellated bacterium in a two-fluid medium using slender body theory. The two-fluid model is useful for describing a body moving through a complex fluid with a microstructure whose length scale is comparable to…

Fluid Dynamics · Physics 2024-12-11 Sabarish V. Narayanan , Donald L. Koch , Sarah Hormozi

Complex fluids containing low concentrations of slender colloidal rods can display a high viscosity, while little flow is needed to thin the fluid. This feature makes slender rods essential constituents in industrial applications and…

Undulatory locomotion is ubiquitous in nature and observed in different media, from the swimming of flagellated microorganisms in biological fluids, to the slithering of snakes on land, or the locomotion of sandfish lizards in sand. Despite…

Fluid Dynamics · Physics 2017-01-03 Zhiwei Peng , On Shun Pak , Gwynn J. Elfring

Microorganisms and synthetic microswimmers often encounter complex environments consisting of networks of obstacles embedded into viscous fluids. Such settings include biological media, such as mucus with filamentous networks, as well as…

The scaled particle theory is applied to a description of thermodynamic properties of one-dimensional hard rod fluid in disordered porous media. To this end, we extended the SPT2 approach, which had been developed previously. Analytical…

Soft Condensed Matter · Physics 2012-07-13 M. Holovko , T. Patsahan , W. Dong

We employ three numerical methods to explore the motion of low Reynolds number swimmers, modeling the hydrodynamic interactions by means of the Oseen tensor approximation, lattice Boltzmann simulations and multiparticle collision dynamics.…

Soft Condensed Matter · Physics 2007-05-23 David J. Earl , C. M. Pooley , J. F. Ryder , Irene Bredberg , J. M. Yeomans

Actuating periodically an elastic filament in a viscous liquid generally breaks the constraints of Purcell's scallop theorem, resulting in the generation of a net propulsive force. This observation suggests a method to design simple…

Soft Condensed Matter · Physics 2009-09-29 Eric Lauga