The average radius of a carotid artery is 0.6 cm. Plaque buildup in a patient causes the radius reduce to 0.3 cm, which requires surgical intervention Area of a circle = nr 2 = ner4p or AP 8η! Poiseuille's Equation Q 128nl TD4 Where, l=length of artery; n=blood viscosity, P=pressure, Q=Flow rate Resistance (R)= Pressure/fluid flow 8Ln Q ;R= nr 4 AP R
a. What is the cross section of the healthy artery? (Use the equations provided above, answer in mm^2)
b. What is the cross section of the blocked carotid artery? (Use the equations provided above, answer in mm^2)
C. Assuming the pressure drop across the artery (from one end to the other) remains the same, calculate the ratio of the blood flow rate in the blocked artery vs. the healthy artery, Qblocked Qhealthy. In other words, the flow rate in the blocked artery is what percentage of the flow rate in the open artery? [AP blocked = APhealthy]
d. What would be the ratio of the blood flow rate if the blockage was covering 33.3% of the artery? (HINT: First calculate the cross sectional area to determine the radius, then solve like part c)