Numerical simulation of arterial pulse propagation using autonomous models

Document Type : Research Paper


Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq


We present a model of the fluid flow between elastic walls simulating arteries actively interacting with the blood. The lubrication theory for the flow is coupled with the pressure and shear stress from the walls. The resulting nonlinear partial differential equation describes the displacement of the walls as a function of the distance along the flow and time.


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Volume 12, Issue 1
May 2021
Pages 838-846
  • Receive Date: 24 September 2020
  • Revise Date: 23 November 2020
  • Accept Date: 30 November 2020