Question

Unclogging Arteries

Research done in the 1930s by the French physiologist Jean Poiseuille showed that the resistance R of a blood vessel of length l and radius r is

R =

kl

r4

,

where k is a constant. Suppose a dose of the drug TPA increases r by 5%. How will this affect the resistance R? Assume that l is constant.

Answer 1

Ano The Funchon Rake given Oris 5% ) dr - 5%. Now OR d. (kerry) Ke X-4Xr-5 = -4 ke dr dr -uke -yue = dr -uke rs =) dR=-4ke dr rs =-uke ld ru dr 57 -0,05 Put value of dr as =) dr = -qKd 80,05 r. dr =-0.2 ke ruXR R ru Now put value of R=ke = -0,2 =) dr R - 0.2 se n x x will reduce . The resistance 20% (-vesign =sreduce) by