Continuum microhaemodynamics modelling using inverse rheology.

Continuum microhaemodynamics modelling using inverse rheology.
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DOI:
10.1007/s10237-021-01537-2
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发表时间:
2022-03
影响因子:
3.5
通讯作者:
Balabani S
Balabani S
中科院分区:
工程技术2区
文献类型:
--
作者:
van Batenburg-Sherwood J;Balabani S

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由于血液流变学的复杂性质,对微血管网络中的血流进行建模具有挑战性。零维和一维方法不能再现局部血液动力学,并且考虑单个红细胞(RBC)的模型在计算上昂贵得令人望而却步。连续统方法可以提供一个有效的解决方案,但依赖于一个大的参数空间和缺乏实验数据的验证限制了他们的应用。我们描述了一种方法来同化实验RBC的速度和浓度数据到一个连续的数值模拟框架。红细胞的成像数据采集在一个顺序分叉微通道的各种流动条件。RBC浓度分布进行了评估,并映射到计算流体动力学模拟与流变学规定的Quemada模型。预测的速度进行了比较,粒子图像测速数据。使用一个病例子集进行参数优化,并将所得模型应用于更广泛的数据集以评估模型有效性。与假设牛顿流体相比,预优化模型将预测速度的误差减少了60%,优化进一步将误差减少了40%。RBC速度和浓度分布的不对称性被证明起着关键作用。排除RBC浓度的不对称性使误差加倍,但排除剪切率的空间分布几乎没有影响。这项研究表明,一个连续体模型与优化的流变参数可以重现测量的速度,如果红细胞浓度分布是已知的先验。开发这种具有更多网络配置的RBC运输方法有可能为网络规模的血液动力学建模提供一种有效的方法。在线版本包含补充材料,可通过10.1007/s10237-021-01537-2获得。
Modelling blood flow in microvascular networks is challenging due to the complex nature of haemorheology. Zero- and one-dimensional approaches cannot reproduce local haemodynamics, and models that consider individual red blood cells (RBCs) are prohibitively computationally expensive. Continuum approaches could provide an efficient solution, but dependence on a large parameter space and scarcity of experimental data for validation has limited their application. We describe a method to assimilate experimental RBC velocity and concentration data into a continuum numerical modelling framework. Imaging data of RBCs were acquired in a sequentially bifurcating microchannel for various flow conditions. RBC concentration distributions were evaluated and mapped into computational fluid dynamics simulations with rheology prescribed by the Quemada model. Predicted velocities were compared to particle image velocimetry data. A subset of cases was used for parameter optimisation, and the resulting model was applied to a wider data set to evaluate model efficacy. The pre-optimised model reduced errors in predicted velocity by 60% compared to assuming a Newtonian fluid, and optimisation further reduced errors by 40%. Asymmetry of RBC velocity and concentration profiles was demonstrated to play a critical role. Excluding asymmetry in the RBC concentration doubled the error, but excluding spatial distributions of shear rate had little effect. This study demonstrates that a continuum model with optimised rheological parameters can reproduce measured velocity if RBC concentration distributions are known a priori. Developing this approach for RBC transport with more network configurations has the potential to provide an efficient approach for modelling network-scale haemodynamics. The online version contains supplementary material available at 10.1007/s10237-021-01537-2.
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