The Effect of Stenotic Geometry and Non-newtonian Property of Blood Flow through Arterial Stenosis.

Q2 Medicine Cardiovascular and Hematological Disorders - Drug Targets Pub Date : 2020-01-01 DOI:10.2174/1871529X19666190509111336

Somchai Sriyab

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引用次数: 2

Abstract

Background: A mathematical model of blood flow is a way to study the blood flow behavior. In this research work, a mathematical model of non-Newtonian blood flow through different stenosis, namely bell shape and cosine shape, is considered. The physiologically important flow quantities of blood flow behavior to describe the blood flow phenomena are obtained such as resistance to flow, skin friction and blood flow rate.

Methods: Mathematical methods are used to analyze a mathematical model of blood flow through stenosed artery. The resistance to flow, skin friction and blood flow rate were obtained to describe the blood flow in stenosis. The resistance to flow is a relation between pressure and blood flow rate while the skin friction is the friction at the artery membrane. Resutls: The blood flow in cosine geometry exhibits higher resistance to flow and flow rate than in the bell geometry, while the blood flow in bell geometry gives a higher skin friction than in cosine geometry. Not only the effect of stenotic geometry was studied but also the effect of stenosis depth and stenosis height on the flow quantities Moreover, the power law index was adjusted to explore the non-Newtonian behavior. When blood exhibits Newtonian behavior, the resistance to flow and skin friction decrease but the blood flow rate increases.

Conclusion: The stenosed artery geometry, the stenosis length, stenosis depth and the power law index (non-Newtonian behavior) are important factors affecting the blood flow through the stenosed artery. This work provides some potential aspects to further study the causes and development of cardiovascular diseases.

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狭窄几何及非牛顿性对动脉狭窄血流的影响。

背景:血流数学模型是研究血流行为的一种方法。在本研究工作中，考虑了非牛顿血流通过不同狭窄的数学模型，即钟形和余弦形。获得了描述血流现象的生理上重要的血流行为流量，如血流阻力、皮肤摩擦和血流速率。方法:运用数学方法，建立狭窄动脉血流的数学模型。获得血流阻力、皮肤摩擦力和血流速率来描述狭窄处的血流情况。流动阻力是压力和血流速率之间的关系，皮肤摩擦是动脉膜上的摩擦。结果:余弦几何的血流阻力和流速高于钟形几何，而钟形几何的血流摩擦力高于余弦几何。不仅研究了狭窄几何形状的影响，还研究了狭窄深度和狭窄高度对流量的影响，并调整幂律指数以探索非牛顿行为。当血液表现出牛顿行为时，流动阻力和皮肤摩擦减少，但血液流速增加。结论:狭窄动脉的几何形状、狭窄长度、狭窄深度和幂律指数(非牛顿行为)是影响狭窄动脉血流的重要因素。这项工作为进一步研究心血管疾病的病因和发展提供了一些潜在的方面。

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来源期刊

Cardiovascular and Hematological Disorders - Drug Targets Medicine-Cardiology and Cardiovascular Medicine

CiteScore

1.90

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0.00%

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期刊介绍： Cardiovascular & Hematological Disorders - Drug Targets aims to cover all the latest and outstanding developments on the medicinal chemistry, pharmacology, molecular biology, genomics and biochemistry of contemporary molecular targets involved in cardiovascular and hematological disorders e.g. disease specific proteins, receptors, enzymes, genes. Each issue of the journal contains a series of timely in-depth reviews written by leaders in the field covering a range of current topics on drug targets involved in cardiovascular and hematological disorders. As the discovery, identification, characterization and validation of novel human drug targets for cardiovascular and hematological drug discovery continues to grow.