article · 18/02/2014
Active polar fluid flow in finite droplets
Résumé
We present a continuum level analytical model of a droplet of active contractile fluid consisting of filaments and motors. We calculate the steady state flows that result from a splayed polarisation of the filaments. We account for interaction with the external medium by imposing a viscous friction at the fixed droplet boundary. We then show that the droplet has non-zero force dipole and quadrupole moments, the latter of which is essential for self-propelled motion of the droplet at low Reynolds' number. Therefore, this calculation describes a simple mechanism for the motility of a droplet of active contractile fluid embedded in a three-dimensional environment, which is relevant to cell migration in confinement (for example, embedded within a gel or tissue). Our analytical results predict how the system depends on various parameters such as the effective friction coefficient, the phenomenological activity parameter and the splay of the imposed polarisation.
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Whitfield, C.-A., Marenduzzo, D., Voituriez, R., & Hawkins, R.-J. (2014). Active polar fluid flow in finite droplets. EUROPEAN PHYSICAL JOURNAL E, 37(2). https://doi.org/10.1140/epje/i2014-14008-3@article{Whitfield2014_222,
author = {Whitfield, Carl A. and Marenduzzo, Davide and Voituriez, Raphael and Hawkins, Rhoda J.},
year = {2014},
month = {2},
title = {Active polar fluid flow in finite droplets},
journal = {EUROPEAN PHYSICAL JOURNAL E},
volume = {37},
number = {2},
abstract = {We present a continuum level analytical model of a droplet of active contractile fluid consisting of filaments and motors. We calculate the steady state flows that result from a splayed polarisation of the filaments. We account for interaction with the external medium by imposing a viscous friction at the fixed droplet boundary. We then show that the droplet has non-zero force dipole and quadrupole moments, the latter of which is essential for self-propelled motion of the droplet at low Reynolds' number. Therefore, this calculation describes a simple mechanism for the motility of a droplet of active contractile fluid embedded in a three-dimensional environment, which is relevant to cell migration in confinement (for example, embedded within a gel or tissue). Our analytical results predict how the system depends on various parameters such as the effective friction coefficient, the phenomenological activity parameter and the splay of the imposed polarisation.},
url = {http://www.dx.doi.org/10.1140/epje/i2014-14008-3},
doi = {10.1140/epje/i2014-14008-3},
issn = {1292-8941},
}TY - JOUR
AU - Whitfield, Carl A.
AU - Marenduzzo, Davide
AU - Voituriez, Raphael
AU - Hawkins, Rhoda J.
PY - 2014
DA - 2014/02/18
TI - Active polar fluid flow in finite droplets
JO - EUROPEAN PHYSICAL JOURNAL E
VL - 37
IS - 2
SN - 1292-8941
AB - We present a continuum level analytical model of a droplet of active contractile fluid consisting of filaments and motors. We calculate the steady state flows that result from a splayed polarisation of the filaments. We account for interaction with the external medium by imposing a viscous friction at the fixed droplet boundary. We then show that the droplet has non-zero force dipole and quadrupole moments, the latter of which is essential for self-propelled motion of the droplet at low Reynolds' number. Therefore, this calculation describes a simple mechanism for the motility of a droplet of active contractile fluid embedded in a three-dimensional environment, which is relevant to cell migration in confinement (for example, embedded within a gel or tissue). Our analytical results predict how the system depends on various parameters such as the effective friction coefficient, the phenomenological activity parameter and the splay of the imposed polarisation.
DO - 10.1140/epje/i2014-14008-3
UR - http://www.dx.doi.org/10.1140/epje/i2014-14008-3
ER -