Abstract.

An erythrocytes sedimentation rate (ESR) measures how fast a blood sample sediments along a test tube in one hour in a clinical laboratory. Since elevated level of ESR is associated with inflammatory diseases, ESR is one of the routine hematology test in a clinical laboratory. In this paper, the physics of erythrocyte (RBC) sedimentation rate as well as the dynamics of the RBC is explored by modeling the dynamics of the cells as the motion of Brownian particle moving in a viscous medium. The viscous friction of blood \( \gamma\) is considered to decrease as the temperature of the medium increases. The results obtained in this work show that the ESR increases as the number of red blood cells (that bind together in the sedimentation process) steps up. The room temperature also affects the sedimentation rate. As the room temperature rises up, the ESR steps up. Furthermore the dynamics of the RBC along a Westergren pipet that is held in an upright position is explored. The exact analytic result depicts that the velocity of cells increases as the number of cells that form rouleaux steps up. Since our study is performed by considering physiological parameters, the results obtained in this work not only can be justified experimentally but also helps to understand most hematological experiments that are conducted in vitro.

Graphical abstract

中文翻译：

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从物理角度看，红细胞的沉积率。

摘要。

红细胞沉降率（ESR）衡量临床实验室在一小时内血液样本沿试管沉降的速度。由于ESR水平升高与炎症性疾病有关，因此ESR是临床实验室中常规的血液学检查之一。本文通过模拟布朗粒子在粘性介质中运动时的细胞动力学，探索了红细胞（RBC）的沉降速率以及RBC的动力学。血液的粘性摩擦\（\ gamma \）被认为随着介质温度的升高而降低。这项工作获得的结果表明，ESR随着红细胞（在沉淀过程中结合在一起）的数量增加而增加。室温也影响沉降速率。随着室温升高，ESR升高。此外，还研究了沿垂直放置的Westergren移液器的RBC动力学。精确的分析结果表明，细胞速度随着形成rouleaux的细胞数量的增加而增加。由于我们的研究是通过考虑生理参数进行的，因此这项工作中获得的结果不仅可以通过实验证明是正确的，而且还有助于了解大多数在体外进行的血液学实验。

图形概要