Key result
Arterial stenosis thickness-to-radius ratio exponentially increases translesional pressure drop and linearly raises wall shear stress.
Why the study?
Arterial stenosis restricts blood flow and may induce heart attack, but detailed analysis of blood flow dynamics in mild stenosis is needed.
This mathematical model provides insights into the hemodynamic changes, such as pressure drop and shear stress, caused by mild arterial stenosis.
Answers are grounded in this paper and cite their sources.
Should not change stenosis assessment; extends modeling but leaves open in vivo validation.
Arterial stenosis is an abnormal condition in arteries due to the deposition of fats and other substances, called atherosclerosis. As it restricts the blood flow, it may induce a heart attack. Employing the Navier-Stokes equations, we consider the blood flow in an artery with the presence of a stenosis in an axisymmetric shape. We analyze the blood flow dynamics in cylindrical form by evaluating pressure, pressure drop against the wall, shear stress on the wall. We also analyze the dynamics by evaluating the ratio of pressure drop with stenosis to the pressure drop without stenosis against the wall, and the ratio of maximum to minimum shear stresses with the ratios of various thicknesses of stenosis to radius of the artery.
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Pokhrel et al. (2020) studied Arterial stenosis. Arterial stenosis (Mathematical modeling) vs. Artery without stenosis was evaluated on Pressure drop and shear stress. Mathematical modeling of blood flow demonstrated that the ratio of pressure drop across a stenosis increases exponentially and shear stress increases linearly with the ratio of stenosis thickness to artery radius.
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