IV Infusion - Example Calculations

During an IV Infusion - Linear One Compartment Model

Question 1. Calculate the drug concentration 0.5 hours after a continuous IV infusion of 75 mg/hr has been administered to a patient. Assume a one compartment pharmacokinetic model. The V and t1/2 values for this drug are 44.9 L and 4.3 hr respectively.
Question 2. Calculate the infusion rate required to achieve a drug concentration of 10 mg/L at 8 hours after a continuous IV infusion has been started. Assume a one compartment pharmacokinetic model. The V and t1/2 values for this drug are 46.3 L and 2.6 hr respectively.
Question 3. Calculate the steady state drug concentration after a continuous IV infusion of 250 mg/hr has been administered to the patient. Assume a one compartment pharmacokinetic model. The kel and V values for this drug are 0.234 hr-1 and 32.8 L respectively.
Question 4. Calculate the infusion rate required to achieve a steady state drug concentration of 2.5 mg/L. Assume a one compartment pharmacokinetic model. The V and total body clearance values for this drug are 28.5 L and 7.3 L/hr respectively.


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Some Equations:

Cp during an IV infusion

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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