Small Superimposed Radial Oscillations of an Arterial Tissue: Before and After Angioplasty

Abstract

Atherosclerosis is a major topic in cardiovascular disease, wherein the arterial wall thickens and subsequent hardening is observed. Lumen size is reduced during this and thus the flow of blood is adversely affected. Angioplasty is a mechanical procedure to widen blocked arterial tissue. Expansion of the arterial wall during angioplasty causes some micro-damage and is the reason for a successful angioplasty. The proposed work shed some light in the context of angioplasty, by mimicking the arterial tissue as an incompressible, isotropic, and homogeneous damaged Demiray cylindrical material tube. It is noted that the in vivo oscillations of the arterial tissue is under the physiological loading domain. The effect of damage on the small superimposed radial oscillations of the Demiray tube is explored. The obtained results for the Demiray tube are interpreted with the clinical data of the existing literature. It is quantified that both the pressure and frequency ratio for the virgin and damaged arterial tissue, respectively, are more before angioplasty and vice-versa.