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Numerical Modelling of the Atherosclerotic Plaques Effect in Damaged Vessels on Coagulation Dynamics

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The presence of atherosclerotic plaques in the vessels leads to serious diseases of the cardiovascular system. In this paper, the problems of the dynamics of coagulation processes in stenotic vessels are studied. The system of Navier-Stokes equations for an incompressible fluid, supplemented by equations of changing the concentration of metabolites (inhibitor, activator and fibrinogen) is considered. A segment of a vessel with a damaged wall with atherosclerotic plaques is considered as computational domain. The effects of the size and position of these plaques on the dynamics of clot propagation are studied. Blood is considered as a Newtonian fluid as well as non-Newtonian fluid. In the case when the atherosclerotic plaque is located in front of the affected area of the vessel, numerical analysis has showed that due to an obstacle in the vessel, a sharp flow of fluid through the area with atherosclerotic plaque has been detected, then the flow slows down, thereby slowing down the spreading rate of the fibrin clot. With an increase in the size of the plaque, a slowdown in the growth rate of fibrinogen has been observed. In the case when blood is considered as a non-Newtonian fluid, numerical calculations lead to a slowdown in the spread of fibrinogen in space compared to the case of a Newtonian fluid.
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Blood Coagulation; Concentration of Metabolites; Non-Newtonian Fluid; Navier-Stokes Equations; Reaction-Diffusion System

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