2. Initial blood flow is 5 ml/min. Flow is related to radius of a blood vessel to the Fourth power. Therefore, doubling the radius results in a 16-fold increase. If r=1 1 x 1 x 1 x 1 = 1 ; If r=2, 2 x 2 x 2 x 2 = 16 If r=4, 4 x 4 x 4 x 4 = 256, for every doubling there is a 16-fold increase. Therefore, the new flow rate would be 5 x 16 = 80 ml/min.
3. Hydrostatic pressure favoring filtration = 34 - 10 = 24 mmHg.
Osmotic pressure favoring reabsorption = 25 -1 = 24 mmHg. Therefore,
no net flow would occur. The forces are equal and opposite.
4. Flow is proportional to radius to the 4rth power. At
a flow of 1 unit, the radius would equal 1 (the 4rth root of 1).
To reduce flow to 1/2 original rate. What number raised to the 4rth
power equals 1/2 ?? Take the 4rth root of 1/2.
This is 0.84. Therefore, the new radius would be 0.84. This
is a 16% decrease in radius from a start of 1 or a decrease to 84
% of its original value.