Mathematical Analysis for the Flow of Sickle Red Blood Cells in Microvessels for Bio Medical Application.

IF 2.5 3区 工程技术 Q2 BIOLOGY
Purnima Chaturvedi, Sapna Ratan Shah
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引用次数: 0

Abstract

Sickle cell disease (SCD) is an inherited monogenic disease which is characterized by distorted red blood cells (RBCs) that cause vaso-occlusion and vasculopathy. In the pathogenesis of SCD, polymerized hemoglobin turn RBCs into fragile, less deformable cells, and are subsequently more susceptible to endothelial adhesion after deoxygenation. Presently, electrophoresis and genotyping are used as routine tests for diagnosis of SCD. These techniques are expensive and require specialized laboratories. Lab-on-a-chip technology is a low-cost microfluidics-based diagnostic tool which holds significant promise for rapid screening of RBC deformability. To explore the sickle RBC mechanics for screening purposes, we present a mathematical model for the flow of single RBC with altered rheological properties and slip effect on capillary wall in microcirculation. We consider single-file flow of cells through the axis symmetrical cylindrical duct, applying lubrication theory as plasma trapped between successive red blood cells. The rheological parameters used from published literature for normal RBC and corresponding variation has been taken for the purpose of this simulation to present the condition of the disease. An analytical solution has been found for realistic boundary conditions and results are simulated using MATLAB. We found that the height of plasma film in the capillary increases with increase in cell deformability and compliance which affects the forward flow velocity in the capillary. Rigid RBCs with increased adhesion between cell and capillary wall shows reduction in velocity and occurrence of vaso-occlusion events in extreme conditions. These rheological properties of the cells coupled with microfluidics mechanics can mimic the physiological condition and provides unique insights with novel possibilities for the design of microfluidics base diagnostic kit towards effective therapeutic intervention of SCD.

用于生物医学应用的微血管中镰状红细胞流动的数学分析。
镰状细胞病(SCD)是一种遗传性单基因疾病,其特征是红细胞畸变导致血管闭塞和血管病变。在SCD的发病机制中,聚合血红蛋白使红细胞变成脆弱的、不易变形的细胞,随后在脱氧后更容易发生内皮粘附。目前,电泳和基因分型是诊断SCD的常规检查方法。这些技术价格昂贵,需要专门的实验室。芯片实验室技术是一种低成本的基于微流体的诊断工具,对于快速筛选红细胞变形性具有重要的前景。为了探索镰状红细胞的筛选机制,我们建立了一个微循环中单个红细胞流变学特性改变和对毛细血管壁滑动影响的数学模型。我们考虑细胞通过轴对称圆柱形导管的单队列流动,应用润滑理论将血浆困在连续的红细胞之间。从已发表的文献中使用的正常红细胞和相应的变异的流变学参数已被采用,以模拟该疾病的状况。给出了实际边界条件下的解析解,并用MATLAB对结果进行了仿真。研究发现,毛细管内等离子体膜的高度随细胞变形性和顺应性的增加而增加,从而影响毛细管内的正向流动速度。在极端条件下,细胞与毛细血管壁黏附增加的刚性红细胞流速降低,血管闭塞事件发生。细胞的这些流变特性与微流体力学结合可以模拟生理条件,为设计有效的SCD治疗干预的微流体基础诊断试剂盒提供了独特的见解和新的可能性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Yale Journal of Biology and Medicine
Yale Journal of Biology and Medicine Biochemistry, Genetics and Molecular Biology-General Biochemistry,Genetics and Molecular Biology
CiteScore
5.00
自引率
0.00%
发文量
41
期刊介绍: The Yale Journal of Biology and Medicine (YJBM) is a graduate and medical student-run, peer-reviewed, open-access journal dedicated to the publication of original research articles, scientific reviews, articles on medical history, personal perspectives on medicine, policy analyses, case reports, and symposia related to biomedical matters. YJBM is published quarterly and aims to publish articles of interest to both physicians and scientists. YJBM is and has been an internationally distributed journal with a long history of landmark articles. Our contributors feature a notable list of philosophers, statesmen, scientists, and physicians, including Ernst Cassirer, Harvey Cushing, Rene Dubos, Edward Kennedy, Donald Seldin, and Jack Strominger. Our Editorial Board consists of students and faculty members from Yale School of Medicine and Yale University Graduate School of Arts & Sciences. All manuscripts submitted to YJBM are first evaluated on the basis of scientific quality, originality, appropriateness, contribution to the field, and style. Suitable manuscripts are then subject to rigorous, fair, and rapid peer review.
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