High blood pressure results from constriction of the arteries. To maintain a normal flow rate (flux), the

Question:

High blood pressure results from constriction of the arteries. To maintain a normal flow rate (flux), the heart has to pump harder, thus increasing the blood pressure. Use Poiseuille€™s Law to show that if R0 and P0 are normal values of the radius and pressure in an artery and the constricted values are R and P, then for the flux to remain constant, P and R are related by the equation

Deduce that if the radius of an artery is reduced to three-fourths of its former value, then the pressure is more than tripled.

Ro Po