Two-dimensional strain-hardening membrane model for large deformation behavior of multiple red blood cells in high shear conditions.
Two-dimensional strain-hardening membrane model for large deformation behavior of multiple red blood cells in high shear conditions.
复制标题
高剪切条件下多个红细胞的大变形行为的二维应变膜模型。
DOI：
10.1186/1742-4682-11-19
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发表时间：
2014-05-13
影响因子：
--
通讯作者：
Kim S
中科院分区：
文献类型：
--
作者：
Ye SS;Ng YC;Tan J;Leo HL;Kim S
红细胞(RBC)流动的计算模型有助于对微血流动力学和微循环的基本理解。为了建立红细胞膜的理论模型，对单个红细胞膜的力学实验研究，根据红细胞膜的剪切、弯曲和面积模数，给出了红细胞膜的具体描述。这些性质已被直接应用于RBCs的三维连续介质模型中，但由于其计算量大，实际的3D模型流动分析一直受到限制。因此，不同的研究人员使用2D模型来有效和定性地研究微血管流动。目前，使用2D模型表示红细胞动力学是一种有限的方法，由于过度和不切实际的拉伸而在高剪切率下分解。我们提出了一种二维弹性模数的局域标度，使其随着红细胞局部膜应变的增加而增加，从而解释了在二维简化过程中失去的泊松效应和膜局部不可压缩性等效应。在不同剪切率(无因次剪切率G = 分别为0.0 5、0.1、0.2、0.5)的简单剪切流动情况下，通过将预测的红细胞变形与文献中的三维模型进行比较，验证了我们的二维大变形(2D-LD)红细胞模型。然后用我们提出的模型和广泛使用的2D Neo-Hookean模型模拟了不同剪切率(50、150、150和S-1)下红细胞(38%红细胞压积)在20μm宽的微通道中的多细胞流动，以评估我们所提出的2D-LD模型的有效性。验证集显示2D-LD和3D模型在所研究的剪切率上的RBC变形相似，突出了我们模型的稳健性。多细胞模拟表明，2D Neo-Hookean模型在高剪切率(G = 0.5)下预测了面条状的红细胞形状，而我们的2D-LD模型保持了合理的红细胞形变。2D-LD模型即使在高剪切速率下也能限制RBC应变，这使得该模型可用于血液分离通道等高剪切速率微流体流的实际模拟。
Computational modeling of Red Blood Cell (RBC) flow contributes to the fundamental understanding of microhemodynamics and microcirculation. In order to construct theoretical RBC models, experimental studies on single RBC mechanics have presented a material description for RBC membranes based on their membrane shear, bending and area moduli. These properties have been directly employed in 3D continuum models of RBCs but practical flow analysis with 3D models have been limited by their computationally expensive nature. As such, various researchers have employed 2D models to efficiently and qualitatively study microvessel flows. Currently, the representation of RBC dynamics using 2D models is a limited methodology that breaks down at high shear rates due to excessive and unrealistic stretching. We propose a localized scaling of the 2D elastic moduli such that it increases with RBC local membrane strain, thereby accounting for effects such as the Poisson effect and membrane local area incompressibility lost in the 2D simplification. Validation of our 2D Large Deformation (2D-LD) RBC model was achieved by comparing the predicted RBC deformation against the 3D model from literature for the case of a single RBC in simple shear flow under various shear rates (dimensionless shear rate G = 0.05, 0.1, 0.2, 0.5). The multi-cell flow of RBCs (38% Hematocrit) in a 20 μm width microchannel under varying shear rates (50, 150, 150 s-1) was then simulated with our proposed model and the popularly-employed 2D neo-Hookean model in order to evaluate the efficacy of our proposed 2D-LD model. The validation set indicated similar RBC deformation for both the 2D-LD and the 3D models across the studied shear rates, highlighting the robustness of our model. The multi-cell simulation indicated that the 2D neo-Hookean model predicts noodle-like RBC shapes at high shear rates (G = 0.5) whereas our 2D-LD model maintains sensible RBC deformations. The ability of the 2D-LD model to limit RBC strain even at high shear rates enables this proposed model to be employed in practical simulations of high shear rate microfluidic flows such as blood separation channels.
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