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
Karniadakis GE
中科院分区:
医学3区
文献类型:
--
作者:
Pan W;Fedosov DA;Caswell B;Karniadakis GE

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我们比较了关注毛细血管和小动脉血流的红细胞(rbc)的两种数学模型的预测能力。两种红细胞模型及其相应的血流都是基于耗散粒子动力学(DPD)方法,这是一种粗粒度的分子动力学方法。第一个模型采用多尺度描述RBC (MS-RBC),其膜由数百甚至数千个dpd颗粒代表,通过弹簧连接成三角形网络,结合面外弹性弯曲阻力。网络内的额外耗散解释了膜粘度,而特征的双凹RBC形状是通过施加恒定膜面积和恒定细胞体积的约束来实现的。第二个模型是基于低维描述(LD-RBC)构建的一个封闭的环状环,只有10个大的DPD胶体颗粒。它们通过蠕虫状链(WLC)弹簧结合抗弯性连接成一个环。LD-RBC模型可以被拟合,以表示非线性弹性变形的整个范围,如光镊测量健康和疟疾感染红细胞。ms -红细胞悬浮液可以准确地模拟任何血管尺寸的血流动力学和流变学,但对于直径超过100微米的血管,这种方法的计算成本很高。令人惊讶的是,除了与RBC直径相当的小血管外,更经济的ld -红细胞悬浮液也能准确地捕获血流动力学和流变学。特别是,LD-RBC悬浮液被证明可以正确地捕获管流中血液及其无细胞层(CFL)的表观粘度的实验数据。综上所述,这些发现提示了动脉树血流模型的分层方法,其中MS-RBC模型适用于100微米以下的毛细血管和小动脉,LD-RBC模型适用于小动脉,而连续体模型适用于动脉。
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.
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
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发表时间: 2006-09-01
期刊: MATERIALS SCIENCE & ENGINEERING C-BIOMIMETIC AND SUPRAMOLECULAR SYSTEMS
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发表时间: 2008-10-01
期刊: EPL
影响因子: 1.8
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DOI: 10.1529/biophysj.104.047332
发表时间: 2005-05-01
影响因子: 3.4
作者:
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通讯作者: Suresh, S
DOI: 10.1152/ajpheart.1996.271.6.h2454
发表时间: 1996-12-01
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