From flagellar undulations to collective motion: predicting the dynamics of sperm suspensions

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Title: From flagellar undulations to collective motion: predicting the dynamics of sperm suspensions
Author(s): Schoeller, S
Keaveny, EE
Item Type: Journal Article
Abstract: Swimming cells and microorganisms are as diverse in their collective dynamics as they are in their indi- vidualshapesandpropulsionmechanisms. Evenforspermcells, whichhaveastereotypedshapeconsisting of a cell body connected to a flexible flagellum, a wide range of collective dynamics is observed spanning from the formation of tightly packed groups to the display of larger-scale, turbulence-like motion. Using a detailed mathematical model that resolves flagellum dynamics, we perform simulations of sperm suspen- sions containing up to 1000 cells and explore the connection between individual and collective dynamics. We find that depending on the level of variation in individual dynamics from one swimmer to another, the sperm exhibit either a strong tendency to aggregate, or the suspension exhibits large-scale swirling. Hydrodynamic interactions govern the formation and evolution of both states. In addition, a quantitative analysis of the states reveals that the flows generated at the time-scale of flagellum undulations contribute significantly to the overall energy in the surrounding fluid, highlighting the importance of resolving these flows.
Publication Date: 1-Mar-2018
Date of Acceptance: 18-Feb-2018
URI: http://hdl.handle.net/10044/1/57294
DOI: https://dx.doi.org/10.1098/rsif.2017.0834
ISSN: 1742-5662
Publisher: Royal Society, The
Journal / Book Title: Journal of the Royal Society Interface
Volume: 15
Issue: 140
Copyright Statement: © 2018 The Author(s). Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/P013651/1
Keywords: Science & Technology
Multidisciplinary Sciences
Science & Technology - Other Topics
sperm locomotion
collective dynamics
active suspensions
fluid-structure interactions
SLENDER-BODY THEORY
RESISTIVE-FORCE THEORY
LOW-REYNOLDS-NUMBER
STOKES-FLOW
SWIMMING MICROORGANISMS
FLEXIBLE FIBERS
COUPLING METHOD
LIVING FLUIDS
HYDRODYNAMICS
FILAMENTS
active suspensions
collective dynamics
fluid–structure interactions
sperm locomotion
physics.flu-dyn
physics.flu-dyn
q-bio.CB
76Z10
MD Multidisciplinary
General Science & Technology
Publication Status: Published
Article Number: 20170834
Online Publication Date: 2018-03-21
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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