pharmacokinetic equations

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Last updated: April 19, 2023

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Hint	Answer
If 975mg of a drug is administered orally and 95mg is absorbed unchanged, the bioavailability of the drug is:	0.097 or 9.7%
The volume of distribution of a drug is 15 L with a blood concentration of 4 μg/mL. Calculate the total amount of drug present in the patient.	60 mg
Calculate the elimination rate constant for a drug having an elimination half-life of 41 minutes.	1.01/hr
The area under the serum concentration-time curves (AUC) were measured after single doses of 10 mg of a new antihypertensive drug were administered in hypertensive patients. The results were as follows: intravenous bolus AUC = 3800 mg . h/L, oral capsule AUC = 500 mg . h/L, oral liquid AUC = 440 mg . h/L. What is the bioavailability of the oral liquid?	0.116 or 11.6%
What is the plasma concentration of a drug when 200 mg is given by IV bolus to a 65kg patient if her volume of distribution is 16 L/kg.	0.192 mg/L

Hint	Answer
The volume of distribution of a drug is 5400 mL with a blood concentration of 8 μg/mL. Calculate the total amount of drug present in the patient in mg.	43.2 mg
If 160 mg of a drug are administered intravenously and the resultant drug plasma concentration is determined to be 27 μg/100mL, what is the apparent volume of distribution of the drug?	592.6 L
Assuming complete absorption and an elimination half-life of 8 hours, how many mg of a drug will remain in the body 42 hours after administering a 350 mg dose?	9.197 mg
Assuming complete absorption and an elimination half-life of 5 hours, how many mg of a drug will remain in the body 35 hours after administering a 400 mg dose?	3.125 mg
Assuming complete absorption and an elimination half-life of 12 hours, how many mg of a drug will remain in the body 90 hours after administering a 700 mg dose?	3.867 mg