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Pulsatile blood flow in large arteries: comparative study of Burton’s and McDonald’s models
作者姓名:K.  GAYATHRI K. SHAILENDHRA
作者单位:Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Ettimadai 641112, Coimbatore, Tamilnadu, India
摘    要:To get a clear picture of the pulsatile nature of blood flow and its role in the pathogenesis of atherosclerosis, a comparative study of blood flow in large arteries is carried out using the two widely used models, McDonald's and Burton's models, for the pressure gradient. For both models, the blood velocity in the lumen is obtained analytically. Elaborate investigations on the wall shear stress (WSS) and oscillatory shear index (OSI) are carried out. The results are in good agreement with the available data in the literature. The superiority of McDonald's model in capturing the pulsatile nature of blood flow, especially the OSI, is highlighted. The present investigation supports the hypothesis that not only WSS but also OSI are the essential features determining the pathogenesis of atherosclerosis. Finally, by reviewing the limitations of the present investigation, the possibility of improvement is explored.

关 键 词:hemodynamics    wall  shear  stressrealistic  pressure  gradient    Beavers  and  Josephpulmonary  artery(WSS)    oscillatory(B  J)  slip  conditionshear  index  (OSI)  femoral    brachial
收稿时间:2013-09-22

Pulsatile blood flow in large arteries: comparative study of Burton’s and McDonald’s models
K.,GAYATHRI K. SHAILENDHRA.Pulsatile blood flow in large arteries: comparative study of Burton’s and McDonald’s models[J].Applied Mathematics and Mechanics(English Edition),2014,35(5):575-590.
Authors:K Gayathri  K Shailendhra
Institution:Department of Mathematics, Amrita School of EngineeringAmrita Vishwa Vidyapeetham, Ettimadai 641112, Coimbatore, Tamilnadu, India
Abstract:To get a clear picture of the pulsatile nature of blood flow and its role in the pathogenesis of atherosclerosis, a comparative study of blood flow in large arteries is carried out using the two widely used models, McDonald’s and Burton’s models, for the pressure gradient. For both models, the blood velocity in the lumen is obtained analytically. Elaborate investigations on the wall shear stress (WSS) and oscillatory shear index (OSI) are carried out. The results are in good agreement with the available data in the literature. The superiority of McDonald’s model in capturing the pulsatile nature of blood flow, especially the OSI, is highlighted. The present investigation supports the hypothesis that not only WSS but also OSI are the essential features determining the pathogenesis of atherosclerosis. Finally, by reviewing the limitations of the present investigation, the possibility of improvement is explored.
Keywords:hemodynamics  wall shear stress(WSS)  oscillatory shear index(OSI)  realistic pressure gradient  Beavers and Joseph(BJ) slip condition  femoral  brachial  pulmonary artery
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