Predicting dynamics and rheology of blood flow: A comparative study of multiscale and low-dimensional models of red blood cells

Journal Article · Fri May 27 04:00:00 EDT 2011 · Microvascular Research, 82(2):163-170

DOI:https://doi.org/10.1016/j.mvr.2011.05.006· OSTI ID:1021828

Pan, Wenxiao; Fedosov, Dmitry A; Caswell, Bruce; Karniadakis, George E

In this work we compare the predictive capability of two mathematical models for red blood cells (RBCs) focusing on blood flow in capillaries and arterioles. Both RBC models as well as their corresponding blood flows are based on the dissipative particle dynamics (DPD) method, a coarse-grained molecular dynamics approach. The first model employs a multiscale description of the RBC (MS-RBC), with its membrane represented by hundreds or even thousands of DPD-particles connected by springs into a triangular network in combination with out-of-plane elastic bending resistance. Extra dissipation within the network accounts for membrane viscosity, while the characteristic biconcave RBC shape is achieved by imposition of constraints for constant membrane area and constant cell volume. The second model is based on a low-dimensional description (LD-RBC) constructed as a closed torus-like ring of only 10 large DPD colloidal particles. They are connected into a ring by worm-like chain (WLC) springs combined with bending resistance. The LD-RBC model can be fitted to represent the entire range of nonlinear elastic deformations as measured by optical-tweezers for healthy and for infected RBCs in malaria. MS-RBCs suspensions model the dynamics and rheology of blood flow accurately for any size vessel but this approach is computationally expensive above 100 microns. Surprisingly, the much more economical suspensions of LD-RBCs also capture the blood flow dynamics and rheology accurately except for vessels with sizes comparable to RBC diameter. In particular, the LD-RBC suspensions are shown to properly capture the experimental data for the apparent viscosity of blood and its cell-free layer (CFL) in tube flow. Taken together, these findings suggest a hierarchical approach in modeling blood flow in the arterial tree, whereby the MS-RBC model should be employed for capillaries and arterioles below 100 microns, the LD-RBC model for arterioles, and the continuum description for arteries.

• Research Organization: Pacific Northwest National Laboratory (PNNL), Richland, WA (US)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC05-76RL01830
• OSTI ID: 1021828
• Report Number(s): PNNL-SA-80189; KJ0403000
• Journal Information: Microvascular Research, 82(2):163-170, Journal Name: Microvascular Research, 82(2):163-170 Journal Issue: 2 Vol. 82; ISSN 0026-2862
• Country of Publication: United States
• Language: English

Related Subjects

59 BASIC BIOLOGICAL SCIENCES
99 GENERAL AND MISCELLANEOUS
ARTERIES
BENDING
BLOOD
BLOOD CELLS
BLOOD FLOW
CAPILLARIES
FOCUSING
MALARIA
MATHEMATICAL MODELS
MEMBRANES
RHEOLOGY
SHAPE
SIMULATION
VISCOSITY