Dynamic Characterization of Parametric Structures and Perturbation Analysis of Blood Flow in the Cranial Arteries

Abstract

Stroke is considered the second leading cause of death globally.The primary risk factor for stroke-related diseases is high blood pressure, which occurs as a result of insufficient blood transport to the brain due to blockages or ruptures in the blood vessels.This study presents the explicit finite-difference method through discretization of the solution domain of the 1-D Navier-Stokes equations capable of predicting pressure and flow profiles by characterizing key parameters of pressure variations inherent in the human cranial arteries.Interestingly, the results obtained shows that, the part of the wave with higher pressure travels faster to the periphery than the part with lower pressure.The increase in diastolic and a null decrease in systolic pressure as seen in our simulations is as a result of a slower heart rate, since the heart is taking longer time to complete a beat.Our findings shows that a decrease in the radius of the cranial artery from (0.29 -0.275) will result in the increase in pressure within the range (115 -145).