IV Infusion - Example Calculations

After an IV Infusion - Linear One Compartment Model

Question 1. Calculate the infusion rate required to maintain a desired drug concentration of 50 mg/L and an IV bolus dose to achieve that concentration rapidly. Assume a one compartment pharmacokinetic model. The V and total body clearance values for this drug are 42.3 L and 8.2 L/hr respectively.

Question 2. Calculate the fast infusion rate (over 10 min) required to achieve a desired drug concentration of 50 mg/L and a slow IV infusion rate to maintain that concentration. Assume a one compartment pharmacokinetic model. The kel and V values for this drug are 0.229 hr^-1 and 54.3 L respectively.

Question 3. A drug has been given at an infusion rate of 150 mg/hr for 10 min. Two drug concentration values determined at 3 hr and 10 hr after the start of the infusion were 0.468 and 0.181 mg/L, respectively. Assuming a one compartment model applies for this drug estimate the elimination rate constant, elimination half-life, apparent volume of distribution and the total body clearance for the drug.

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The Equations:

Cp versus time after an IV infusion - CL

Equation 15.2.1 Drug Concentration after an IV Infusion

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