Tags

Type your tag names separated by a space and hit enter

Symmetry breaking and cross-streamline migration of three-dimensional vesicles in an axial Poiseuille flow.

Abstract

We analyze numerically the problem of spontaneous symmetry breaking and migration of a three-dimensional vesicle [a model for red blood cells (RBCs)] in axisymmetric Poiseuille flow. We explore the three relevant dimensionless parameters: (i) capillary number, Ca, measuring the ratio between the flow strength over the membrane bending mode, (ii) the ratio of viscosities of internal and external liquids, λ, and (iii) the reduced volume, ν=[V/(4/3)π]/(A/4π)3/2 (A and V are the area and volume of the vesicle). The overall picture turns out to be quite complex. We find that the parachute shape undergoes spontaneous symmetry-breaking bifurcations into a croissant shape and then into slipper shape. Regarding migration, we find complex scenarios depending on parameters: The vesicles either migrate towards the center, or migrate indefinitely away from it, or stop at some intermediate position. We also find coexisting solutions, in which the migration is inwards or outwards depending on the initial position. The revealed complexity can be exploited in the problem of cell sorting out and can help understanding the evolution of RBCs' in vivo circulation.

Authors+Show Affiliations

Université Grenoble I/CNRS, Laboratoire Interdisciplinaire de Physique/UMR5588, Grenoble F-38041, France.Université Grenoble I/CNRS, Laboratoire Interdisciplinaire de Physique/UMR5588, Grenoble F-38041, France.

Pub Type(s)

Journal Article
Research Support, Non-U.S. Gov't

Language

eng

PubMed ID

24827280

Citation

Farutin, Alexander, and Chaouqi Misbah. "Symmetry Breaking and Cross-streamline Migration of Three-dimensional Vesicles in an Axial Poiseuille Flow." Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 89, no. 4, 2014, p. 042709.
Farutin A, Misbah C. Symmetry breaking and cross-streamline migration of three-dimensional vesicles in an axial Poiseuille flow. Phys Rev E Stat Nonlin Soft Matter Phys. 2014;89(4):042709.
Farutin, A., & Misbah, C. (2014). Symmetry breaking and cross-streamline migration of three-dimensional vesicles in an axial Poiseuille flow. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 89(4), p. 042709.
Farutin A, Misbah C. Symmetry Breaking and Cross-streamline Migration of Three-dimensional Vesicles in an Axial Poiseuille Flow. Phys Rev E Stat Nonlin Soft Matter Phys. 2014;89(4):042709. PubMed PMID: 24827280.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Symmetry breaking and cross-streamline migration of three-dimensional vesicles in an axial Poiseuille flow. AU - Farutin,Alexander, AU - Misbah,Chaouqi, Y1 - 2014/04/18/ PY - 2013/08/15/received PY - 2014/5/16/entrez PY - 2014/5/16/pubmed PY - 2015/4/16/medline SP - 042709 EP - 042709 JF - Physical review. E, Statistical, nonlinear, and soft matter physics JO - Phys Rev E Stat Nonlin Soft Matter Phys VL - 89 IS - 4 N2 - We analyze numerically the problem of spontaneous symmetry breaking and migration of a three-dimensional vesicle [a model for red blood cells (RBCs)] in axisymmetric Poiseuille flow. We explore the three relevant dimensionless parameters: (i) capillary number, Ca, measuring the ratio between the flow strength over the membrane bending mode, (ii) the ratio of viscosities of internal and external liquids, λ, and (iii) the reduced volume, ν=[V/(4/3)π]/(A/4π)3/2 (A and V are the area and volume of the vesicle). The overall picture turns out to be quite complex. We find that the parachute shape undergoes spontaneous symmetry-breaking bifurcations into a croissant shape and then into slipper shape. Regarding migration, we find complex scenarios depending on parameters: The vesicles either migrate towards the center, or migrate indefinitely away from it, or stop at some intermediate position. We also find coexisting solutions, in which the migration is inwards or outwards depending on the initial position. The revealed complexity can be exploited in the problem of cell sorting out and can help understanding the evolution of RBCs' in vivo circulation. SN - 1550-2376 UR - https://www.unboundmedicine.com/medline/citation/24827280/Symmetry_breaking_and_cross_streamline_migration_of_three_dimensional_vesicles_in_an_axial_Poiseuille_flow_ DB - PRIME DP - Unbound Medicine ER -