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Suppose Ct is the concentration of a drug in the bloodstream at time t, 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. (a) What is the recursion that models the dynamics of drug concentration? Ct+1 = (b) If the initial concentration is Co = 110 µg/mL and A = 80 µg/mL and k = plot some points on the graph of Ct. 200 150 100 50 200 150 100 50 Ct Ct 2 4 4 6 6 8 10 10 120 100 80 60 40 20 150 Ct 100 O 50 2 2 4 4 6 6 8 8 t 10 t 10

Suppose Ct is the concentration of a drug in the bloodstream at time t, 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. (a) What is the recursion that models the dynamics of drug concentration? Ct+1 = (b) If the initial concentration is Co = 110 µg/mL and A = 80 µg/mL and k = plot some points on the graph of Ct. 200 150 100 50 200 150 100 50 Ct Ct 2 4 4 6 6 8 10 10 120 100 80 60 40 20 150 Ct 100 O 50 2 2 4 4 6 6 8 8 t 10 t 10

Advanced Engineering Mathematics
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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Suppose Ct is the concentration of a drug in the bloodstream at time t, 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. (a) What is the recursion that models the dynamics of drug concentration? Ct+1 = (b) If the initial concentration is Co 200 150 100 50 200 150 100 50 Ct Ct 2 2 4 = 110 µg/mL and A = 80 µg/mL and k = 6 8 …... 6 CO 8 10 t 10 120 100 80 60 40 20 150 Ct 100 1 2' 50 plot some points on the graph of Ct. 2 2 4 4 8 6 ….... 10 8 t 10
Transcribed Image Text:Suppose Ct is the concentration of a drug in the bloodstream at time t, 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. (a) What is the recursion that models the dynamics of drug concentration? Ct+1 = (b) If the initial concentration is Co 200 150 100 50 200 150 100 50 Ct Ct 2 2 4 = 110 µg/mL and A = 80 µg/mL and k = 6 8 …... 6 CO 8 10 t 10 120 100 80 60 40 20 150 Ct 100 1 2' 50 plot some points on the graph of Ct. 2 2 4 4 8 6 ….... 10 8 t 10
Is the graph similar for other values of A and k? 11
Transcribed Image Text:Is the graph similar for other values of A and k? 11
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