Application of 0D model of blood flow to study vessel abnormalities in the human systemic circulation: An in-silico study

Abstract

In this paper, a multi-compartment 0D model of the blood flow is considered to study the vessel abnormalities (stenoses and aneurysms) in the human systemic circulation (SC). In the complete SC, different levels of stenosis and aneurysms are artificially created by decreasing and increasing the vessel diameters respectively and their effects on pressure and flow are studied using sensitivity analysis (SA). Normalized local sensitivity analysis (LSA) is used to study the impact of stenosis and aneurysms on pressure and flow wave pattern. Furthermore, global sensitivity analysis (GSA), Sobol’s method is used to quantify the overall influence of stenoses and aneurysms in the complete SC. The results of global sensitivity analysis revealed that the impact of both stenoses and aneurysms is strong within the individual structures (arm, legs, carotid bifurcation, aorta), while, aortic stenoses and aneurysms have effect on almost all downstream nodes. Moreover, the study could be useful for medical doctors, teachers and students to observe the hemodynamical changes in the SC with respect to vessel abnormalities, which could further help in making any clinical decision for patients having different levels of vessel abnormalities in any part or structure of the SC.

Estimation of local arterial stiffness using non-invasive flow measurements: a study on a stenosed carotid artery

“…Lumped or 0D models of the CVS have gained popularity due to their computational efficiency as compared to the higher or multi-dimensional models [22][23][24][25][26][27][28][29][30][31][32][33][38][39][40][41][42][43][44][45]. In this work, an already developed 0D viscoelastic model of the stenosed carotid arteries is considered in which, the major carotid arteries are split into six arterial segments [20], see figure (1, top).…”

“…Sensitivity analysis is a useful tool to study the effect of individual and combined model parameters on output variables [30][31][32][33][34][35][36]. Here, a computationally cost-effective approach; normalized local sensitivity analysis (NLSA) is applied on developed model to identify the best possible measurement locations for blood flow velocity to estimate Young's modulus; a measure of arterial stiffness.…”

Hydrodynamics and Sensitivity Analysis of a Williamson Fluid in Porous-Walled Wavy Channel

“…In a normalized local sensitivity analysis, the impact of a single model parameter is studied at a time on all output variables. Several researchers used this analysis in different biological engineering problems [24][25][26][27][28]. As mentioned in the previous paragraphs, that flow of GF inside the kidney is complex, and after the reabsorption of useful substances, its nature becomes thin to make the urine.…”