An antibiotic QX has half-life of 6 hours and volume of distributionof 2L/Kg. what is the expected AUC after administration of a singleiv dose of 10mg/kg
Question
An antibiotic QX has half-life of 6 hours and volume of distributionof 2L/Kg. what is the expected AUC after administration of a singleiv dose of 10mg/kg
Solution
To calculate the Area Under the Curve (AUC) for the antibiotic QX, we need to use the formula for AUC in pharmacokinetics, which is:
AUC = Dose / (Cl)
Where:
- Dose is the amount of drug administered, in this case 10mg/kg.
- Cl is the clearance of the drug from the body.
The clearance (Cl) can be calculated using the formula:
Cl = 0.693 * Vd / t1/2
Where:
- 0.693 is a constant related to the natural logarithm of 2 (since we're dealing with half-life).
- Vd is the volume of distribution, in this case 2L/kg.
- t1/2 is the half-life of the drug, in this case 6 hours.
First, let's calculate the clearance:
Cl = 0.693 * 2L/kg / 6 hours = 0.231 L/kg/h
Then, we can calculate the AUC:
AUC = 10mg/kg / 0.231 L/kg/h = 43.29 mg*h/L
So, the expected AUC after administration of a single IV dose of 10mg/kg of antibiotic QX is approximately 43.29 mg*h/L.
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