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Modelling of non-Newtonian blood flow through stenosed coronary arteries. (English) Zbl 1155.93013
Summary: A mathematical model is developed to simulate the flow of blood through stenosed coronary arteries taking into account of arterial wall deformation under pulsatile flow condition. The flow of blood through the lumen region is governed by the continuity equation and the Navier-Stokes equations, while blood flow through the poroelastic wall is described by the Brinkman equations. The deformation of coronary arteries is modelled by the equations of classical elastodynamics. The velocity field, the pressure, the wall shear stress and the deformation of the arterial wall are computed in a fully coupled manner through the use of the fluid-structure interaction condition. The influences of the severity of stenosis on blood flow and wall shear stresses are investigated.
MSC:
93A30Mathematical modelling of systems
92C50Medical applications of mathematical biology
93C20Control systems governed by PDE
35B37PDE in connection with control problems (MSC2000)
76D05Navier-Stokes equations (fluid dynamics)