POSSIBILITIES OF APPLYING MATHEMATICAL ANALYSIS OF BLOOD FLOW CHARACTERISTICS IN ENDOVASCULAR TREATMENT OF AORTIC DISEASES USING HOLOMETALLIC STENTS

M. Chernyavskiy, B. S. Artyushin, A. Chernov, D. Chernova, N. Zherdev, Y. Kudaev
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Abstract

Purpose. The purpose of the article is to access possibilities of blood flow mathematical analysis in aortic aneurysm before and after bare metal stent implantation.Materials and methods. Mathematical models of aortic blood flow were based on data received at studying 15 CT-scans of patients with abdominal aorta aneurysms (12) and dissections (3) and their duplex ultra-sound hemodynamic data. At constructing mathematical model the program SolidWorks was used. Working with the program consisted of two stages: establishment of conditions for geometric objects; forming of abdominal aorta model from these objects. In the study hemodinamic aneurysm indexes was evaluated on rectilinear and curvilinear segments. Some of characteristics were variable: diameter, aneurysm wall thickness, its length, elasticity.Results. Correlation of extreme tension into aneurysm wall on rectilinear and curvilinear segments according to aneu­rysm wall thickness was assessed. Possibilities of pathological blood flow changes correction at bare metal stent im­plantation into aortic aneurysm were estimated: if presence of bare metal stent were introduced into mathematical parameters blood flow characteristics became almost as standard characteristics. Received data can enhance successful endovascular treatment of aortic diseases with using of bare metal stents.Conclusion. Mathematical models of aortic and vascular aneurysms before and after surgery can be an effective tool in bettering quality of medical help for vascular patients.
血流特征数学分析在全金属支架血管内治疗主动脉疾病中的应用可能性
目的。本文的目的是获取裸金属支架植入前后主动脉瘤血流数学分析的可能性。材料和方法。主动脉血流的数学模型是基于研究15例腹主动脉动脉瘤(12)和夹层(3)患者的ct扫描数据及其双超声血流动力学数据。在建立数学模型时,使用了SolidWorks程序。使用该程序包括两个阶段:建立几何对象的条件;由这些物体形成的腹主动脉模型。本研究分别在直线段和曲线段对血流动力学动脉瘤指标进行评价。一些特征是可变的:直径、动脉瘤壁厚度、长度、弹性。根据瘤壁厚度,评估直线段和曲线段的极大张力对瘤壁的影响。估计了裸金属支架置入主动脉瘤纠正病理性血流变化的可能性:如果将裸金属支架的存在引入数学参数,血流特征几乎成为标准特征。所获得的数据可以提高裸体金属支架在血管内治疗主动脉疾病的成功率。主动脉和血管动脉瘤手术前后的数学模型可以成为提高血管患者医疗帮助质量的有效工具。
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