Predicting dynamics and rheology of blood flow: A comparative study of multiscale and low-dimensional models of red blood cells.
Predicting dynamics and rheology of blood flow: A comparative study of multiscale and low-dimensional models of red blood cells.
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DOI:
10.1016/j.mvr.2011.05.006
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发表时间:
2011-09
影响因子:
3.1
通讯作者:
Karniadakis GE
中科院分区:
文献类型:
--
作者:
Pan W;Fedosov DA;Caswell B;Karniadakis GE
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 vessel size but this approach is computationally expensive for vessel diameters above 100 microns. Surprisingly, the much more economical suspensions of LD-RBCs also capture the blood flow dynamics and rheology accurately except for small-size vessels 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.
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DOI:
10.1016/j.cma.2010.02.001
发表时间:
2010-06-01
影响因子:
7.2
作者:
Fedosov DA;Caswell B;Karniadakis GE
通讯作者:
Karniadakis GE
DOI:
10.1016/j.msec.2005.08.020
发表时间:
2006-09-01
期刊:
MATERIALS SCIENCE & ENGINEERING C-BIOMIMETIC AND SUPRAMOLECULAR SYSTEMS
影响因子:
--
作者:
Dao, M.;Li, J.;Suresh, S.
通讯作者:
Suresh, S.
影响因子:
1.8
作者:
Pan, W.;Pivkin, I. V.;Karniadakis, G. E.
通讯作者:
Karniadakis, G. E.
影响因子:
3.4
作者:
Li, J;Dao, M;Suresh, S
通讯作者:
Suresh, S
DOI:
10.1152/ajpheart.1996.271.6.h2454
发表时间:
1996-12-01
影响因子:
4.8
作者:
Maeda, N;Suzuki, Y;Tateishi, N
通讯作者:
Tateishi, N