Tue28September1204PM 3
An intravenous infusion of a drug is commenced at a rate of 20 ml/hour. The concentration of the drug in the syringe is 5 mg/mL. The plasma clearance of the drug is 20 L/hour.
Which of the following values best approximates to the plasma concentration of the drug at steady state assuming that the infusion rate remains unchanged?
(Please select 1 option)
5 mg/mL
50 mcg/mL
5 mcg/mL Correct
50 mg/mL
500 mcg/mL
Explanation
When a drug is administered by intravenous infusion the plasma concentration rises in an exponential fashion as a wash-in curve until it attains steady state concentration (the point at which the infusion rate is balanced by the elimination rate or clearance). It will take 4-5 half-lives of the drug to reach this steady state point.
The factors that determine the infusion rate or dose (ID) in mg/hour of a drug are Cpss (target plasma concentration at steady state) and the clearance (CL) in ml/minute or litre/hour.
ID = Cpss × CL
In this example we know the infusion rate of 20 ml/hour. The concentration of the drug is 5 mg/mL. The patient is receiving 100 mg of the drug/hour and the clearance of the drug is 20 L/hour.
ID = Cpss × 20
Therefore,
Cpss = 100 mg/20000 ml
Cpss = 0.005 mg/mL or 5 mcg/mL
The factors which determine a loading dose (LD) include:
Cp - target plasma concentration (mcg/L)
Vd - volume of distribution
F - bioavailability (if not intravenously administered)
LD = Cp × Vd/F
Answer Statistics
1
20%
2
28%
3
39%
4
9%
5
7%
Times answered: 231