Hybrid continuum–coarse-grained modeling of erythrocytes

Jinming Lyu; Paul G. Chen; Gwenn Boedec; Marc Leonetti; Marc Jaeger

doi:10.1016/j.crme.2018.04.015

Hybrid continuum–coarse-grained modeling of erythrocytes

Jinming Lyu ¹ ; Paul G. Chen ¹ ; Gwenn Boedec ² ; Marc Leonetti ³ ; Marc Jaeger ¹

¹ Aix Marseille Univ, CNRS, Centrale Marseille, M2P2, Marseille, France
² Aix Marseille Univ, CNRS, Centrale Marseille, IRPHE, Marseille, France
³ Université Grenoble Alpes, CNRS, LRP, Grenoble, France

Comptes Rendus. Mécanique, Volume 346 (2018) no. 6, pp. 439-448.

Résumé

The red blood cell (RBC) membrane is a composite structure, consisting of a phospholipid bilayer and an underlying membrane-associated cytoskeleton. Both continuum and particle-based coarse-grained RBC models make use of a set of vertices connected by edges to represent the RBC membrane, which can be seen as a triangular surface mesh for the former and a spring network for the latter. Here, we present a modeling approach combining an existing continuum vesicle model with a coarse-grained model for the cytoskeleton. Compared to other two-component approaches, our method relies on only one mesh, representing the cytoskeleton, whose velocity in the tangential direction of the membrane may be different from that of the lipid bilayer. The finitely extensible nonlinear elastic (FENE) spring force law in combination with a repulsive force defined as a power function (POW), called FENE–POW, is used to describe the elastic properties of the RBC membrane. The mechanical interaction between the lipid bilayer and the cytoskeleton is explicitly computed and incorporated into the vesicle model. Our model includes the fundamental mechanical properties of the RBC membrane, namely fluidity and bending rigidity of the lipid bilayer, and shear elasticity of the cytoskeleton while maintaining surface-area and volume conservation constraint. We present three simulation examples to demonstrate the effectiveness of this hybrid continuum–coarse-grained model for the study of RBCs in fluid flows.

Reçu le : 2017-11-13
Accepté le : 2018-04-22
Publié le : 2018-05-01

DOI : 10.1016/j.crme.2018.04.015

Mots clés : Lipid membrane, Vesicle dynamics, Red blood cell, Boundary element method, Stokes flow

Affiliations des auteurs :

Jinming Lyu ¹ ; Paul G. Chen ¹ ; Gwenn Boedec ² ; Marc Leonetti ³ ; Marc Jaeger ¹

¹ Aix Marseille Univ, CNRS, Centrale Marseille, M2P2, Marseille, France
² Aix Marseille Univ, CNRS, Centrale Marseille, IRPHE, Marseille, France
³ Université Grenoble Alpes, CNRS, LRP, Grenoble, France

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     author = {Jinming Lyu and Paul G. Chen and Gwenn Boedec and Marc Leonetti and Marc Jaeger},
     title = {Hybrid continuum{\textendash}coarse-grained modeling of erythrocytes},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {439--448},
     publisher = {Elsevier},
     volume = {346},
     number = {6},
     year = {2018},
     doi = {10.1016/j.crme.2018.04.015},
     language = {en},
}

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Jinming Lyu; Paul G. Chen; Gwenn Boedec; Marc Leonetti; Marc Jaeger. Hybrid continuum–coarse-grained modeling of erythrocytes. Comptes Rendus. Mécanique, Volume 346 (2018) no. 6, pp. 439-448. doi : 10.1016/j.crme.2018.04.015. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.04.015/

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