Name, ID _____Answers_______ Quiz 8.02:   Absorption Models I

The Standard First-Order Absorption Model with Metabolite Concentration
In this exercise we will consider drug absorption under the following extended assumptions:
(a) A single oral dose has been administered,
(b) At time t = 0, we begin with 100% dissolution at the absorption site, namely the GI tract,
(c) The absorbing region of the body is represented as a single well-stirred compartment,
(d) The absorption process is first-order,
(e) The drug elimination pathway is first-order via the urinary tract,
(f) The (drug changed to) metabolite process is first-order,
(g) The metabolite elimination pathway is first-order via the urinary tract.
Also, the %-concentration functions for the Model are:
P0(t) = percent of dose that is drug in the gut as a function of time,
P1(t) = percent of dose that is drug in the blood (absorbed within the body) as a function of time,
P2(t) = percent of dose that is drug in the urine as a function of time,
P3(t) = percent of dose that is (drug changed to) metabolite as a function of time,
P4(t) = percent of dose that is metabolite in the urine as a function of time.

View a plot of the %-concentration functions and the Structural Diagram for the Model:

Given that k1 = .5, k2 = .1, k3 = .15, and k4 = .75 for the example on the plot, then the %-concentration functions are:




1. Find the time at which the slope of the tangent line to the drug in the blood curve is equal to 10.


2. Find the % concentration of metabolite in the blood and metabolite in the urine when t = 1 hour.

3. Compute the average % concentration of drug in the gut from t = 0 hours to t = 12 hours.

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4. Compute the average % of metabolite in the blood from t = 2 hours to t = 16 hours.