Vitamin A is stored primarily in our plasma and our liver. suppose that 40% of the vitamin A in the plasma is filtered out by the kidneys each day and that 30% of the vitamin A in the plasma is absorbed into the liver each day. Also assume that 1% of the vitamin A in the liver is absorbed back into the plasma each day.
(a) how much vitamin A should you ingest each day so that the equilibrium amount of vitamin A in the plasma is 4 mg? Assume all of the vitamin A ingested goes into the plasma.
(b) what is the equilibrium amount of vitamin A in your liver given the answer to part(a)
Math Modeling - bobpursley, Friday, February 12, 2010 at 9:20pm
Draw a figure
intake=loss from body
loss to plasma=gain from plasma
plasma=loss to liver+loss to body-gain from liver+intake
so you have three equations.
.1L=.3(4mg) or L=12mg
checks. The system is in equilibrium.