Hemodynamics factors influenced by blood flow significantly affect aneurysms growth and rupture. While most studies focus on the temporal effects of blood flow, the potential impact of non-local spatial effects is often overlooked. However, previous research suggests that jet flow from proximal stenosis can lead to long-range (non-local) redistribution of wall shear stress at aneurysm initiation sites. This study employs a non-local spatial fractional derivative non-Newtonian fluid model to characterize the pseudoplastic behavior of blood and analyze flow in stenosis and aneurysmal arteries. Results show that the fractional derivative order (non-local parameter) can serve as an index to characterize cholesterol-rich blood in clinical diagnostics. Strong shear-thinning property of blood characterized by higher-order fractional derivative model reduces viscosity under high shear rates, leading to accelerated blood flow and increased wall shear stress. Subsequently, the increasement of wall shear stress gradient in regions of vascular stenosis and aneurysms, potentially raises the risk of aneurysm rupture in degenerated aneurysm walls.
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