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| Teaching Since: | May 2017 |
| Last Sign in: | 398 Weeks Ago, 6 Days Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
a. After a dose, the concentration of medication in the blood declines due to metabolic processes. The half-life of a medication is the time required after an initial dosage for the concentration to be reduced by one-half. A common model for this process is
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where C(0) is the initial concentration, t is time (in hours), and k is called the elimination rate constant, which varies among individuals.
For a particular bronchodilator, k has been estimated to be in the range 0.047 ≤ k ≤ 0.107 per hour. Find an expression for the half-life in terms of k, and obtain a plot of the half-life versus k for the indicated range.
b. If the concentration is initially zero, and a constant delivery rate is started and maintained, the concentration as a function of time is described by:
![]()
where a is a constant that depends on the delivery rate. Plot the concentration after one hour, C (1), versus k for the case where a 1 and k is in the range 0.047 ≤k ≤0.107 per hour.
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