Research at Applied Mathematics and Economics Programme Area

Estimates of useful flow measures in constricted arteries under different flow states


Table 4.4 computes the estimates of shear stresses at the wall of stenotic narrow artery at various points in the axial direction under anemic, healthy and diabetic states of blood. It is important to mention that for both anemic and healthy blood, wall shear stress rises from to and started to decrease symmetrically from to . The reverse case is seen for diabetic state where the values of wall shear stress decreases from to and then surges from to .


Table 4.5 presents the estimates of resistive impedance to flow at distinct points in the axial direction for the aforesaid three states of blood. The obtained data points out that an increasing trend of resistive impedance from to in all three states of blood. Here, healthy type of blood has the highest resistance to flow in comparison to anemic and diabetic. Thus, we conclude that there is only a considerable difference between the resistive impedance to blood flow in healthy and diabetic states.

Related article:

Afiqah Wajihah, D S Sankar, Effects of porosity in four-layered non-linear blood rheology in constricted narrow arteries with clinical applications, Computer Methods and Programs in Biomedicine 199 (2021) 105907. https://doi.org/10.1016/j.cmpb.2020.105907.