pharmacokinetic equations

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Last updated: April 19, 2023

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Hint	Answer
What is the plasma concentration of a drug when 300 mg is given by IV bolus to a 220lb patient if her volume of distribution is 1.1L/kg. (Please note that 1kg = 2.2lb)	2.727 mg/L
If 500mg of a drug is administered orally and 50mg is absorbed unchanged, the bioavailability of the drug is:	0.1 or 10.0%
A drug has an elimination rate constant of 0.355 hr-1. Its elimination half-life is:	1.95 hrs
If 975mg of a drug is administered orally and 95mg is absorbed unchanged, the bioavailability of the drug is:	0.097 or 9.7%
Calculate the elimination rate constant for a drug having an elimination half-life of 36 minutes.	1.16/hr

Hint	Answer
Assuming complete absorption and an elimination half-life of 8 hours, how many mg of a drug will remain in the body 40 hours after administering a 500 mg dose?	15.625 mg
If 180 mg of a drug are administered intravenously and the resultant drug plasma concentration is determined to be 76 μg/100mL, what is the apparent volume of distribution of the drug?	236.8 L
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 = 7500 mg . h/L, oral capsule AUC = 500 mg . h/L, oral liquid AUC = 220 mg . h/L. What is the bioavailability of the oral liquid?	0.029 or 2.9%
What is the plasma concentration of a drug when 800 mg is given by IV bolus to a 90kg patient if her volume of distribution is 25 L/kg.	0.355 mg/L
Assuming complete absorption and an elimination half-life of 10 hours, how many mg of a drug will remain in the body 60 hours after administering a 650 mg dose?	10.156 mg