An extended convection diffusion model for red blood cell-enhanced transport of thrombocytes and leukocytes.

An extended convection diffusion model for red blood cell-enhanced transport of thrombocytes and leukocytes.
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DOI:
10.1088/0031-9155/54/20/024
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发表时间:
2009-10-21
影响因子:
3.5
通讯作者:
Antaki JF
Antaki JF
中科院分区:
工程技术2区
文献类型:
--
作者:
Hund SJ;Antaki JF

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血小板和白细胞(WBC)的转运现象是血管疾病和血栓形成过程的基础。不幸的是,这些细胞所占据的稀释体积不适合于流体连续介质建模,然而细胞数量足够大,以至于对每个单独的细胞进行建模对于大多数应用来说是不切实际的。最可行的选择是将它们视为受对流和扩散控制的稀释物;然而,由于红细胞(RBC)相在这些细胞的运输中所起的作用,这一点进一步复杂化。因此,我们提出了一个扩展的对流扩散模型,该模型基于虚拟场势Ψ的扩散平衡,该模型同时考虑了稀释相和局部红细胞压积的梯度。ECD模型被应用于管内和平行平板之间的血液流动,其中施加了RBC浓度场的轮廓,并预测了所产生的血小板浓度场。与流行的分散血小板浓度场的增强扩散模型相比,ECD模型能够模拟实验观察到的近壁血小板过剩。ECD模型的扩展仅依赖于规定的红细胞压积分布的能力,因此可以应用于多种几何结构来研究血小板介导的血管疾病和设备相关的血栓形成。
Transport phenomena of platelets and white blood cells (WBCs) are fundamental to the processes of vascular disease and thrombosis. Unfortunately, the dilute volume occupied by these cells is not amenable to fluid-continuum modeling, and yet the cell count is large enough that modeling each individual cell is impractical for most applications. The most feasible option is to treat them as dilute species governed by convection and diffusion; however, this is further complicated by the role of the red blood cell (RBC) phase on the transport of these cells. We therefore propose an extended convection–diffusion (ECD) model based on the diffusive balance of a fictitious field potential, Ψ, that accounts for the gradients of both the dilute phase and the local hematocrit. The ECD model was applied to the flow of blood in a tube and between parallel plates in which a profile for the RBC concentration field was imposed and the resulting platelet concentration field predicted. Compared to prevailing enhanced-diffusion models that dispersed the platelet concentration field, the ECD model was able to simulate a near-wall platelet excess, as observed experimentally. The extension of the ECD model depends only on the ability to prescribe the hematocrit distribution, and therefore may be applied to a wide variety of geometries to investigate platelet-mediated vascular disease and device-related thrombosis.
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