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Exam%201%20sol - Name: _ Score _ BME 100L Exam 1 Fall 2009...

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Name: __________________________________ Score _________________ BME 100L Fall 2009 Exam 1 1. 20 mg of a prodrug is infused into the liver at the beginning of a treatment. Within the liver, the prodrug is metabolized to form the drug. The metabolism can be modeled as a first order chemical reaction. where A represents the prodrug and B represents the drug. The rate constant of metabolism, k, is 5 hour -1 . Determine (a) the rate of change of [A], (b) the rate of change of [B], (c) the half-life of the prodrug in the liver, (d) how [B] changes with time by solving the differential equations. Solution: ] A [ k dt ] A [ d ] A [ k dt ] B [ d [A] = [A] 0 exp(-kt) [B] = [A] 0 - [A] = [A] 0 [1 - exp(-kt)] = (20/V)*[1 - exp(-5*t)] where V is the liver volume. t 1/2 = ln(2)/k = 0.138 hr 2. In the following reactions, k 1 , k -1 , k 2 , and k -2 are known. (a) Determine the ratios between [A] and [B] and between [A] and [C], in terms of k 1 , k -1 , k 2 , and k -2 , when all reactions are at equilibrium. (b) If both k
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Exam%201%20sol - Name: _ Score _ BME 100L Exam 1 Fall 2009...

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