Abstract

The inner viscosity of a biological red blood cell is about five times larger than the viscosity of the blood plasma. In this work, we use dissipative particles to enable the proper viscosity contrast in a mesh-based red blood cell model. Each soft particle represents a coarse-grained virtual cluster of hemoglobin proteins contained in the cytosol of the red blood cell. The particle interactions are governed by conservative and dissipative forces. The conservative forces have purely repulsive character, whereas the dissipative forces depend on the relative velocity between the particles. We design two computational experiments that mimic the classical viscometers. With these experiments we study the effects of particle suspension parameters on the inner cell viscosity and provide parameter sets that result in the correct viscosity contrast. The results are validated with both static and dynamic biological experiment, showing an improvement in the accuracy of the original model without major increase in computational complexity.

Highlights

  • Blood is a multi-component suspension and consists mostly of plasma (~55%), red blood cells (RBCs, ~45%) and white blood cells and platelets (~1%)

  • We extend the existing red blood cell model based on lattice-Botzmann method (LBM) for governing the fluid and spring network for governing the elasticity of cell membrane [17,18]

  • We have developed an RBC model that accounts for non-trivial viscosity ratio

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Summary

Introduction

Blood is a multi-component suspension and consists mostly of plasma (~55%), red blood cells (RBCs, ~45%) and white blood cells and platelets (~1%). Due to their high content, RBCs play major role in flow dynamics and rheological properties of blood. The RBC membrane consists of a lipid bilayer and a spectrin network attached to the inner side of the bilayer. The cytoplasm contains mostly hemoglobin, a protein responsible for oxygen transfer. This protein causes higher viscosity of the inner cytoplasm compared to the outer plasma, which is referred to as viscosity contrast

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