Hydrodynamical Characterization of Red Blood Cells Interactions in a High Confinement Regime. A Computational Study

  • Edisel Navas-Conyedo Centro de Estudio de Matemática Computacional (CEMC), Grupo de Matemática y Física Computacionales, Facultad de Ciencias y Tecnologías Computacionales, Universidad de las Ciencias Informáticas (UCI), 19370 La Habana, Cuba
  • Y. Costa-Marrero Departamento de Ciencias Básicas, Facultad 3, Universidad de las Ciencias Informáticas (UCI), 19370 La Habana, Cuba
  • J. Gulín-González Centro de Estudio de Matemática Computacional (CEMC), Grupo de Matemática y Física Computacionales, Facultad de Ciencias y Tecnologías Computacionales, Universidad de las Ciencias Informáticas (UCI), 19370 La Habana, Cuba

Abstract

The red blood cells (RBCs) have a critical role in order to understand the properties of blood in a high confinement regime. Thus, the ability of RBCs to change the shape allows them to flowing through small microcapillaries in the order of 10 μm of diameter, according to the membrane viscoelastic properties, with a complex non-linear blood flow behavior. In the previously mentioned conditions it is very important to take into account that the inter-cells hydrodynamical interaction can be critically important in order to consider the effect of solvent media like an indirect interaction transmission media. In the bibliography consulted were shown the dependence of the confinement and the flow ratio on the RBC’s shape and on the length of perturbation in the surrounding flow for the case of single vesicle simulation, but the effects of closed RBCs and it dynamics behavior were omitted. In the present paper, we use the length of perturbation as a critical parameter to estimate the hydrodynamics interacting range. Subsequently, simulations in a system with two RBCs were used to study the inter-cells hydrodynamic interaction, a two-dimensional reduced model is used. The RBC was modeled as a vesicle formed by a ring of interacting particles. The solvent-solvent and solvent-RBC particles interactions were computed by Multiparticle Collision Dynamics mesoscale computational technique. Here we propose a general hydrodynamic interaction model description including the relative cell-cell distance, velocity, flow and confinement regime. As result of simulations a stochastic exponential decay hydrodynamic force was observed, when the cell-cell distance is near to the double of lengths of perturbation.

Published
May 6, 2018
How to Cite
NAVAS-CONYEDO, Edisel; COSTA-MARRERO, Y.; GULÍN-GONZÁLEZ, J.. Hydrodynamical Characterization of Red Blood Cells Interactions in a High Confinement Regime. A Computational Study. Revista Cubana de Física, [S.l.], v. 35, n. 1E, p. E12-E16, may 2018. ISSN 2224-7939. Available at: <http://revistacubanadefisica.org/index.php/rcf/article/view/RCF%282018%29_35%281E%29_E12>. Date accessed: 22 sep. 2018.