Abstract

We consider two minimal models of active fluid droplets that exhibit complex dynamics including steady motion, deformation, rotation and oscillating motion. First we consider a droplet with a concentration of active contractile matter adsorbed to its boundary. We analytically predict activity driven instabilities in the concentration profile, and compare them to the dynamics we find from simulations. Secondly, we consider a droplet of active polar fluid of constant concentration. In this system we predict, motion and deformation of the droplets in certain activity ranges due to instabilities in the polarisation field. Both these systems show spontaneous transitions to motility and deformation which resemble dynamics of the cell cytoskeleton in animal cells.

Highlights

  • In animal cells, motility and morphology are strongly coupled and are largely due to the activity of the cell cytoskeleton

  • Contractile activity stabilises the defect at the droplet centre and we observe a k = 2 mode instability characterised by deformation of the droplet into a ‘dumbbell’ shape

  • We predict an activity threshold for spontaneous motion, and a further continuous transition to a stable symmetric state mediated by advection of motors through the droplet bulk

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Summary

12 December 2016

Original content from this Abstract work may be used under the terms of the Creative. We consider two minimal models of active fluid droplets that exhibit complex dynamics including. We analytically predict activity this work must maintain driven instabilities in the concentration profile, and compare them to the dynamics we find from attribution to the author(s) and the title of simulations. We consider a droplet of active polar fluid of constant concentration. In this the work, journal citation and DOI. System we predict, motion and deformation of the droplets in certain activity ranges due to instabilities in the polarisation field. Both these systems show spontaneous transitions to motility and deformation which resemble dynamics of the cell cytoskeleton in animal cells

Introduction
C A Whitfield and R J Hawkins
Active fluid interface
Linear stability analysis
Active polar fluid droplet
Discussion

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