#2 (Stewart ², #34 p. 77) A drug is administered once a day. Suppose C₁ is the concentration of the drug in the bloodstream (in µg/mL) after n days (just after the dose is administered), A is the concentration of the drug that is administered at each time step, and k is the fraction of the drug metabolized in a time step. The drug concentration can be modeled by Cn Cn-1(1 k) + A where Co is the initial dose that is administered. a) Imagine you explain to another student in this class why this DDS describes the drug concentration. Explain each of the terms of the updating function. b) Write the recursive equation if A = 80 µg/mL and k = and simplify. Is this a model with a linear updating function? Why or why not? c) If the initial concentration is Co= 120 µg/mL, find the explicit solution (if it exists) and use either the explicit solution or the recursive DDS to find C₁, C₂, and C3.
#2 (Stewart ², #34 p. 77) A drug is administered once a day. Suppose C₁ is the concentration of the drug in the bloodstream (in µg/mL) after n days (just after the dose is administered), A is the concentration of the drug that is administered at each time step, and k is the fraction of the drug metabolized in a time step. The drug concentration can be modeled by Cn Cn-1(1 k) + A where Co is the initial dose that is administered. a) Imagine you explain to another student in this class why this DDS describes the drug concentration. Explain each of the terms of the updating function. b) Write the recursive equation if A = 80 µg/mL and k = and simplify. Is this a model with a linear updating function? Why or why not? c) If the initial concentration is Co= 120 µg/mL, find the explicit solution (if it exists) and use either the explicit solution or the recursive DDS to find C₁, C₂, and C3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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