IV Infusion - Example Calculations

During an IV Infusion - Linear One Compartment Model

Question 1. Calculate the drug concentration 4 hours after a continuous IV infusion of 250 mg/hr has been administered to a patient. Assume a one compartment pharmacokinetic model. The V and total body clearance values for this drug are 36.6 L and 8.5 L/hr respectively.

Question 2. Calculate the infusion rate required to achieve a drug concentration of 24 mg/L at 24 hours after a continuous IV infusion has been started. Assume a one compartment pharmacokinetic model. The kel and V values for this drug are 0.165 hr^-1 and 51.9 L respectively.

Question 3. Calculate the steady state drug concentration after a continuous IV infusion of 100 mg/hr has been administered to the patient. Assume a one compartment pharmacokinetic model. The V and t_1/2 values for this drug are 38.9 L and 2.9 hr respectively.

Question 4. Calculate the infusion rate required to achieve a steady state drug concentration of 18 mg/L. Assume a one compartment pharmacokinetic model. The V and total body clearance values for this drug are 41 L and 4.9 L/hr respectively.

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Some Equations:

Equation 15.1.1 Drug Concentration during an IV Infusion

Cp after a continuous IV Infusion

Equation 15.1.2 Steady State Drug Concentration after an IV Infusion

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