Complexity of vesicle microcirculation.

This study focuses numerically on dynamics in two dimensions of vesicles in microcirculation. The method used is based on boundary integral formulation. This study is inspired by the behavior of red blood cells (RBCs) in the microvasculature. Red RBCs carry oxygen from the lungs and deliver it through the microvasculature. The shape adopted by RBCs can affect blood flow and influence oxygen delivery. Our simulation using vesicles (a simple model for RBC) reveals unexpected complexity as compared to the case where a purely unbounded Poiseuille flow is considered [Kaoui, Biros, and Misbah, Phys. Rev. Lett. 103, 188101 (2009)]. In sufficiently large channels (in the range of 100 μm; the vesicle size and its reduced volume are taken in the range of those of a human RBC), such as arterioles, a slipperlike (asymmetric) shape prevails. A parachutelike (symmetric) shape is adopted in smaller channels (in the range of 20 μm, as in venules), but this shape loses stability and again changes to a pronounced slipperlike morphology in channels having a size typical of capillaries (5-10 μm). Stiff membranes, mimicking malaria infection, for example, adopt a centered or off-centered snakelike locomotion instead (the denomination snaking is used for this regime). A general scenario of how and why vesicles adopt their morphologies and dynamics among several distinct possibilities is provided. This finding potentially points to nontrivial RBCs dynamics in the microvasculature.

[1]  H. Noguchi,et al.  Shape transitions of fluid vesicles and red blood cells in capillary flows. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[2]  S. Suresh,et al.  Mechanical response of human red blood cells in health and disease: Some structure-property-function relationships , 2006 .

[3]  V. Martinelli,et al.  Red blood cell deformation in microconfined flow , 2009 .

[4]  Howard A Stone,et al.  Dynamics of shear-induced ATP release from red blood cells , 2008, Proceedings of the National Academy of Sciences.

[5]  Sai K. Doddi,et al.  Lateral migration of a capsule in a plane Poiseuille flow in a channel , 2008 .

[6]  Prosenjit Bagchi,et al.  Dynamics of nonspherical capsules in shear flow. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  George Biros,et al.  A boundary integral method for simulating the dynamics of inextensible vesicles suspended in a viscous fluid in 2D , 2009, J. Comput. Phys..

[8]  W. Zimmermann,et al.  Lateral migration of a two-dimensional vesicle in unbounded Poiseuille flow. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Remo Guidieri Res , 1995, RES: Anthropology and Aesthetics.

[10]  P. Gaehtgens,et al.  Motion, deformation, and interaction of blood cells and plasma during flow through narrow capillary tubes. , 1980, Blood cells.

[11]  Ericka Stricklin-Parker,et al.  Ann , 2005 .

[12]  R. Skalak,et al.  Deformation of Red Blood Cells in Capillaries , 1969, Science.

[13]  Thomas Podgorski,et al.  Deformation of vesicles flowing through capillaries , 2004 .

[14]  H. Stone,et al.  Cellular-scale hydrodynamics , 2008, Biomedical materials.

[15]  H Schmid-Schönbein,et al.  The red cell as a fluid droplet: tank tread-like motion of the human erythrocyte membrane in shear flow. , 1978, Science.

[16]  Gwennou Coupier,et al.  Noninertial lateral migration of vesicles in bounded Poiseuille flow , 2008, 0803.3153.

[17]  G. Biros,et al.  Why do red blood cells have asymmetric shapes even in a symmetric flow? , 2009, Physical review letters.

[18]  A. Pries,et al.  Two-Dimensional Simulation of Red Blood Cell Deformation and Lateral Migration in Microvessels , 2007, Annals of Biomedical Engineering.

[19]  Sheldon Weinbaum,et al.  The structure and function of the endothelial glycocalyx layer. , 2007, Annual review of biomedical engineering.

[20]  Martin Lenz,et al.  ATP-dependent mechanics of red blood cells , 2009, Proceedings of the National Academy of Sciences.

[21]  T. Biben,et al.  Optimal lift force on vesicles near a compressible substrate , 2004 .

[22]  J. D. B. MACDOUGALL,et al.  Diffusion Coefficient of Oxygen through Tissues , 1967, Nature.

[23]  Alexander Farutin,et al.  Three-dimensional vesicles under shear flow: numerical study of dynamics and phase diagram. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  R Skalak,et al.  A two-dimensional model for capillary flow of an asymmetric cell. , 1982, Microvascular research.

[25]  C. Pozrikidis Axisymmetric motion of a file of red blood cells through capillaries , 2005 .

[26]  S. Guido,et al.  Microconfined flow behavior of red blood cells in vitro , 2009 .