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In this paper we are interested in optimizing the shape of multi-flagellated helical microswimmers. Mimicking the propagation of helical waves along the flagella, they self-propel by rotating their tails. The swimmer's dynamics is computed…

Most bacteria swim through fluids by rotating helical flagella which can take one of twelve distinct polymorphic shapes. The most common helical waveform is the "normal" form, used during forward swimming runs. To shed light on the…

Biological Physics · Physics 2015-03-17 Saverio E. Spagnolie , Eric Lauga

The swimming properties of an E. coli-type model bacterium are investigated by mesoscale hy- drodynamic simulations, combining molecular dynamics simulations of the bacterium with the multiparticle particle collision dynamics method for the…

Soft Condensed Matter · Physics 2016-08-23 Jinglei Hu , Mingcheng Yang , Gerhard Gompper , Roland G. Winkler

We investigate the formation of helical multifilament bundles and the torque required to achieve them as a function of applied twist. Hyperelastic filaments with circular cross sections are mounted parallel in a uniform circle onto…

Soft Condensed Matter · Physics 2026-04-01 Amit Dawadi , Animesh Biswas , Julien Chopin , Arshad Kudrolli

By means of extensive replica-exchange simulations of generic coarse-grained models for helical polymers, we systematically investigate the structural transitions into all possible helical phases for flexible and semiflexible elastic…

Biological Physics · Physics 2015-09-23 Matthew J. Williams , Michael Bachmann

This article presents a novel computational model to study the selective filtering of biological hydrogels due to the surface charge and size of diffusing particles. It is the first model that includes the random 3D fiber orientation and…

Many biological microorganisms and artificial microswimmers react to external cues of environmental gradients by changing their swimming directions. We study here the behavior of eukarytic flagellated microswimmers in linear viscosity…

Soft Condensed Matter · Physics 2026-05-29 Shubham Anand , Jens Elgeti , Gerhard Gompper

We systematically investigate how flagellar morphology governs the stability of bacterial Brownian motion, evaluating the effectiveness of a simplified chiral two-body model. This model, which effectively captures the specific bacterial…

Fluid Dynamics · Physics 2026-03-03 Baopi Liu , Bowen Jin , Lu Chen , Ning Liu

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

We propose minimal models of one-, two- and three-dimensional micro-swimmers at low Reynolds number with a periodic non-reciprocal motion. These swimmers are either "pushers" or "pullers" of fluid along the swimming axis, or combination of…

Soft Condensed Matter · Physics 2010-04-30 Nobuhiko Watari , Ronald G. Larson

This paper focuses on studying a model for molecular motors responsible for the bending of the axoneme in the flagella of microorganisms. The model is a coupled system of partial differential equations inspired by J\"ulicher et al. or…

Numerical Analysis · Mathematics 2025-04-17 François Alouges , Irene Anello , Antonio DeSimone , Aline Lefebvre-Lepot , Jessie Levillain

Motivated by diverse phenomena in cellular biophysics, including bacterial flagellar motion and DNA transcription and replication, we study the overdamped nonlinear dynamics of a rotationally forced filament with twist and bend elasticity.…

Soft Condensed Matter · Physics 2009-10-31 Charles W. Wolgemuth , Thomas R. Powers , Raymond E. Goldstein

Motility is a basic feature of living microorganisms, and how it works is often determined by environmental cues. Recent efforts have focused on develop- ing artificial systems that can mimic microorganisms, and in particular their…

Living systems routinely consume energy to achieve motility, often using intricate biomolecular machinery. In this work, we show that active droplets can sustain indefinite self-propulsion of a spherical colloid in an otherwise homogeneous,…

Soft Condensed Matter · Physics 2026-05-01 Benjamin Sorkin , Ned S. Wingreen

Flagella and cilia are examples of actively oscillating, whiplike biological filaments that are crucial to processes as diverse as locomotion, mucus clearance, embryogenesis and cell motility. Elastic driven rod-like filaments subjected to…

Computational Physics · Physics 2018-05-24 Soheil Fatehiboroujeni , Arvind Gopinath , Sachin Goyal

Many swimming microorganisms, such as bacteria and sperm, use flexible flagella to move through viscoelastic media in their natural environments. In this paper we address the effects a viscoelastic fluid has on the motion and beating…

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

The flagellated bacterium Escherichia coli is increasingly used experimentally as a self-propelled swimmer. To obtain meaningful, quantitative results that are comparable between different laboratories, reproducible protocols are needed to…

Inspired by the complex influence of the globular crosslinking proteins on the formation of biofilament bundles in living organisms, we study and analyze a theoretical model for the structure and thermodynamics of bundles of helical…

Soft Condensed Matter · Physics 2012-01-19 Claus Heussinger , Gregory M. Grason

A flowing pair of particles in inertial microfluidics gives important insights into understanding and controlling the collective dynamics of particles like cells or droplets in microfluidic devices. They are applied in medical cell analysis…

Fluid Dynamics · Physics 2018-05-25 Christian Schaaf , Felix Rühle , Holger Stark

Phase separation in a low-density gas-like phase and a high-density liquid-like one is a common trait of biological and synthetic self-propelling particles' systems. The competition between motility and stochastic forces is assumed to fix…

Soft Condensed Matter · Physics 2020-04-15 Pin Nie , Joyjit Chattoraj , Antonio Piscitelli , Patrick Doyle , Ran Ni , Massimo Pica Ciamarra