The research of vasoconstriction effect on the solitary waves in stenotic arterial vessel  

作　　者：Xue Sang Zongguo Zhang Hong-Wei Yang Lei Fu 

机构地区：[1]College of Mathematics and System Science,Shandong University of Science and Technology,Qingdao 266590,China [2]School of Mathematics Statistics,Qilu University of Technology(Shandong Academy of Sciences),Jinan,250200,China

出　　处：《Communications in Theoretical Physics》2023年第5期38-51,共14页理论物理通讯（英文版）

摘　　要：Vascular stenosis is a common cardiovascular disease,and the in-depth study of its biomechanical mechanism will help to explore the occurrence mechanism and law of the disease,which is of great significance in the prevention and diagnosis of cardiovascular disease.Different from previous studies,radial and axial motions are considered in the realistic configuration of the wall,and the wall equation of the stenotic artery is established.On the basis of the wall equation and fluid equation,the KdV-Burgers equation is obtained by scale analysis and perturbation expansion.The effects of axial displacement and wall initial conditions on the propagation of solitary waves in stenotic arteries are discussed.It is shown that with the increase of the axial and radial tension ratios,the amplitude and width of the solitary wave increase,and the solitary wave becomes steeper and more sharp.The results of this study provide a theoretical value for detecting the shape change of solitary wave in blood vessel to predict vascular stenosis.

关 键 词：solitary waves stenosis arterial vessel KdV-Burgers equation steeping and peaking 

分 类 号：O175[理学—数学] R54[理学—基础数学]