Establishing Metrics to Quantify Underlying Structure in Vascular Red Blood Cell Distributions

Establishing Metrics to Quantify Underlying Structure in Vascular Red Blood Cell Distributions
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DOI:
10.1007/978-3-031-08751-6_7
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发表时间:
2022
期刊:
影响因子:
4.6
通讯作者:
S. Roychowdhury;E. Draeger;A. Randles
S. Roychowdhury;E. Draeger;A. Randles
中科院分区:
综合性期刊3区
文献类型:
--
作者:
S. Roychowdhury;E. Draeger;A. Randles

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微血管系统的模拟可以阐明各种血流参数对微尺度细胞和流体现象的影响。在这个尺度上,血液的非牛顿行为需要使用明确的细胞模型,这对于捕捉细胞运动和相互作用的完整动力学是必要的。在过去的几十年里,流体-结构相互作用模型已经成为一种精确捕捉血液中可变形细胞行为的方法。然而,随着计算能力的提高和具有数百万红细胞的系统可以模拟,重要的是要注意细胞的不同空间分布可能会影响模拟结果。由于单个模拟可能不能代表集成行为,因此可能需要对许多不同的配置进行采样,以充分评估潜在单元排列的整个集合。为了确定所需分布的数量和运行哪些分布,我们必须首先建立方法来识别生成良好的、随机放置的单元分布,并量化不同的单元配置。在这项工作中,我们利用度量来评估1)初始细胞分布的任何底层结构的存在和2)细胞配置之间的相似性。我们建议使用径向分布函数来识别细胞配置中的远程结构,并将其应用于随机分布和结构化的红细胞集。为了量化两种构型之间的空间相似性,我们使用了Jaccard指数,并描述了红细胞和球体初始化的集合。
Simulations of the microvasculature can elucidate the effects of various blood flow parameters on micro-scale cellular and fluid phenomena. At this scale, the non-Newtonian behavior of blood requires the use of explicit cell models, which are necessary for capturing the full dynamics of cell motion and interactions. Over the last few decades, fluid-structure interaction models have emerged as a method to accurately capture the behavior of deformable cells in the blood. However, as computational power increases and systems with millions of red blood cells can be simulated, it is important to note that varying spatial distributions of cells may affect simulation outcomes. Since a single simulation may not represent the ensemble behavior, many different configurations may need to be sampled to adequately assess the entire collection of potential cell arrangements. In order to determine both the number of distributions needed and which ones to run, we must first establish methods to identify well-generated, randomly-placed cell distributions and to quantify distinct cell configurations. In this work, we utilize metrics to assess 1) the presence of any underlying structure to the initial cell distribution and 2) similarity between cell configurations. We propose the use of the radial distribution function to identify long-range structure in a cell configuration and apply it to a randomly-distributed and structured set of red blood cells. To quantify spatial similarity between two configurations, we make use of the Jaccard index, and characterize sets of red blood cell and sphere initializations.